- title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
abstract: 'Preface'
volume: 52
URL: http://proceedings.mlr.press/v52/aaa_preface.html
PDF: http://proceedings.mlr.press/v52/aaa_preface.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-aaa_preface.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos
given: Cassio Polpo
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: i-iv
id: aaa_preface
issued:
date-parts:
- 2016
- 8
- 15
firstpage: i
lastpage: iv
published: 2016-08-15 00:00:00 +0000
- title: 'Regime Aware Learning'
abstract: 'We propose a regime aware learning algorithm to learn a sequence of Bayesian networks (BNs) that model a system that undergoes \it regime changes. The last BN in the sequence represents the system’s current regime, and should be used for BN inference. To explore the feasibility of the algorithm, we create baseline tests against learning a singe BN, and show that our proposed algorithm outperforms the single BN approach. We also apply the learning algorithm on real world data from the financial domain, where it is evident that the algorithm is able to produce BNs that have adapted to the regime changes during the most recent global financial crisis of 2007-08.'
volume: 52
URL: http://proceedings.mlr.press/v52/bendtsen16.html
PDF: http://proceedings.mlr.press/v52/bendtsen16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-bendtsen16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Bendtsen
given: Marcus
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 1-12
id: bendtsen16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 1
lastpage: 12
published: 2016-08-15 00:00:00 +0000
- title: 'Learning Tractable Multidimensional Bayesian Network Classifiers'
abstract: 'Multidimensional classification has become one of the most relevant topics in view of the many domains that require a vector of class values to be assigned to a vector of given features. The popularity of multidimensional Bayesian network classifiers has increased in the last few years due to their expressive power and the existence of methods for learning different families of these models. The problem with this approach is that the computational cost of using the learned models is usually high, especially if there are a lot of class variables. Class-bridge decomposability means that the multidimensional classification problem can be divided into multiple subproblems for these models. In this paper, we prove that class-bridge decomposability can also be used to guarantee the tractability of the models. We also propose a strategy for efficiently bounding their inference complexity, providing a simple learning method with an order-based search that obtains tractable multidimensional Bayesian network classifiers. Experimental results show that our approach is competitive with other methods in the state of the art and ensures the tractability of the learned models.'
volume: 52
URL: http://proceedings.mlr.press/v52/benjumeda16.html
PDF: http://proceedings.mlr.press/v52/benjumeda16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-benjumeda16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Benjumeda
given: Marco
- family: Bielza
given: Concha
- family: Larrañaga
given: Pedro
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 13-24
id: benjumeda16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 13
lastpage: 24
published: 2016-08-15 00:00:00 +0000
- title: 'Bayesian Matrix Factorization with Non-Random Missing Data using Informative Gaussian Process Priors and Soft Evidences'
abstract: 'We propose an extended Bayesian matrix factorization method, which can incorporate multiple sources of side information, combine multiple \empha priori estimates for the missing data and integrates a flexible missing not at random submodel. The model is formalized as probabilistic graphical model and a corresponding Gibbs sampling scheme is derived to perform unrestricted inference. We discuss the application of the method for completing drug–target interaction matrices, also discussing specialties in this domain. Using real-world drug–target interaction data, the performance of the method is compared against both a general Bayesian matrix factorization method and a specific one developed for drug–target interaction prediction. Results demonstrate the advantages of the extended model.'
volume: 52
URL: http://proceedings.mlr.press/v52/bolgar16.html
PDF: http://proceedings.mlr.press/v52/bolgar16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-bolgar16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Bolgár
given: Bence
- family: Antal
given: Péter
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 25-36
id: bolgar16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 25
lastpage: 36
published: 2016-08-15 00:00:00 +0000
- title: 'Bayesian Networks: a Combined Tuning Heuristic'
abstract: 'One of the issues in tuning an output probability of a Bayesian network by changing multiple parameters is the relative amount of the individual parameter changes. In an existing heuristic parameters are tied such that their changes induce locally a maximal change of the tuned probability. This heuristic, however, may reduce the attainable values of the tuned probability considerably. In another existing heuristic parameters are tied such that they simultaneously change in the entire interval ⟨0,1⟩. The tuning range of this heuristic will in general be larger then the tuning range of the locally optimal heuristic. Disadvantage, however, is that knowledge of the local optimal change is not exploited. In this paper a heuristic is proposed that is locally optimal, yet covers the larger tuning range of the second heuristic. Preliminary experiments show that this heuristic is a promising alternative.'
volume: 52
URL: http://proceedings.mlr.press/v52/bolt16.html
PDF: http://proceedings.mlr.press/v52/bolt16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-bolt16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Bolt
given: Janneke H.
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 37-49
id: bolt16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 37
lastpage: 49
published: 2016-08-15 00:00:00 +0000
- title: 'Learning Complex Uncertain States Changes via Asymmetric Hidden Markov Models: an Industrial Case'
abstract: 'In many problems involving multivariate time series, Hidden Markov Models (HMMs) are often employed to model complex behavior over time. HMMs can, however, require large number of states, that can lead to overfitting issues especially when limited data is available. In this work, we propose a family of models called Asymmetric Hidden Markov Models (HMM-As), that generalize the emission distributions to arbitrary Bayesian-network distributions. The new model allows for state-specific graphical structures defined over the space of observable features, what renders more compact state spaces and hence a better handling of the complexity-overfitting trade-off. We first define asymmetric HMMs, followed by the definition of a learning procedure inspired on the structural expectation-maximization framework allowing for decomposing learning per state. Then, we relate representation aspects of HMM-As to standard and independent HMMs. The last contribution of the paper is a set of experiments that elucidate the behavior of asymmetric HMMs on practical scenarios, including simulations and industry-based scenarios. The empirical results indicate that HMMs are limited when learning structured distributions, what is prevented by the more parsimonious representation of HMM-As. Furthermore, HMM-As showed to be promising in uncovering multiple graphical structures and providing better model fit in a case study from the domain of large-scale printers, thus providing additional problem insight.'
volume: 52
URL: http://proceedings.mlr.press/v52/bueno16.html
PDF: http://proceedings.mlr.press/v52/bueno16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-bueno16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Bueno
given: Marcos L.P.
- family: Hommersom
given: Arjen
- family: Lucas
given: Peter J.F.
- family: Verwer
given: Sicco
- family: Linard
given: Alexis
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 50-61
id: bueno16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 50
lastpage: 61
published: 2016-08-15 00:00:00 +0000
- title: 'On Bayesian Network Inference with Simple Propagation'
abstract: '\emphSimple Propagation (SP) was recently proposed as a new join tree propagation algorithm for exact inference in discrete Bayesian networks and empirically shown to be faster than \emphLazy Propagation (LP) when applied on optimal (or close to) join trees built from real-world and benchmark Bayesian networks. This paper extends SP in two directions. First, we propose and empirically evaluate eight heuristics for determining elimination orderings in SP. Second, we show that the relevant potentials in SP are precisely those in LP.'
volume: 52
URL: http://proceedings.mlr.press/v52/butz16a.html
PDF: http://proceedings.mlr.press/v52/butz16a.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-butz16a.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Butz
given: Cory J.
- family: Oliveira
given: Jhonatan S.
- family: Santos
given: André E. dos
- family: Madsen
given: Anders L.
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 62-73
id: butz16a
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 62
lastpage: 73
published: 2016-08-15 00:00:00 +0000
- title: 'Relevant Path Separation: A Faster Method for Testing Independencies in Bayesian Networks'
abstract: '\emphDirected separation (d-separation) played a fundamental role in the founding of \emphBayesian networks (BNs) and continues to be useful today in a wide range of applications. Given an independence to be tested, current implementations of d-separation explore the \emphactive part of a BN. On the other hand, an overlooked property of d-separation implies that d-separation need only consider the \emphrelevant part of a BN. We propose a new method for testing independencies in BNs, called \emphrelevant path separation (rp-separation), which explores the intersection between the active and relevant parts of a BN. Favourable experimental results are reported.'
volume: 52
URL: http://proceedings.mlr.press/v52/butz16b.html
PDF: http://proceedings.mlr.press/v52/butz16b.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-butz16b.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Butz
given: Cory J.
- family: Santos
given: André E. dos
- family: Oliveira
given: Jhonatan S.
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 74-85
id: butz16b
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 74
lastpage: 85
published: 2016-08-15 00:00:00 +0000
- title: 'Conditional Probability Estimation'
abstract: 'This paper studies in particular an aspect of the estimation of conditional probability distributions by maximum likelihood that seems to have been overlooked in the literature on Bayesian networks: The information conveyed by the conditioning event should be included in the likelihood function as well.'
volume: 52
URL: http://proceedings.mlr.press/v52/cattaneo16.html
PDF: http://proceedings.mlr.press/v52/cattaneo16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-cattaneo16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Cattaneo
given: Marco E. G. V.
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 86-97
id: cattaneo16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 86
lastpage: 97
published: 2016-08-15 00:00:00 +0000
- title: 'On Pruning with the MDL Score'
abstract: 'The space of Bayesian network structures is forbiddingly large and hence numerous techniques have been developed to prune this search space, but without eliminating the optimal structure. Such techniques are critical for structure learning to scale to larger datasets with more variables. Prior works exploited properties of the MDL score to prune away large regions of the search space that can be safely ignored by optimal structure learning algorithms. In this paper, we propose new techniques for pruning regions of the search space that can be safely ignored by algorithms that enumerate the k-best Bayesian network structures. Empirically, we show that these techniques allow a state-of-the-art structure enumeration algorithm to scale to datasets with significantly more variables.'
volume: 52
URL: http://proceedings.mlr.press/v52/chen16.html
PDF: http://proceedings.mlr.press/v52/chen16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-chen16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Chen
given: Eunice Yuh-Jie
- family: Choi
given: Arthur
- family: Darwiche
given: Adnan
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 98-109
id: chen16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 98
lastpage: 109
published: 2016-08-15 00:00:00 +0000
- title: 'Probabilistic Graphical Models Specified by Probabilistic Logic Programs: Semantics and Complexity'
abstract: 'We look at probabilistic logic programs as a specification language for probabilistic models, and study their interpretation and complexity. Acyclic programs specify Bayesian networks, and, depending on constraints on logical atoms, their inferential complexity reaches complexity classes #\mathsfP, #\mathsfNP, and even #\mathsfEXP. We also investigate (cyclic) stratified probabilistic logic programs, showing that they have the same complexity as acyclic probabilistic logic programs, and that they can be depicted using chain graphs.'
volume: 52
URL: http://proceedings.mlr.press/v52/cozman16.html
PDF: http://proceedings.mlr.press/v52/cozman16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-cozman16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Cozman
given: Fabio Gagliardi
- family: Mauá
given: Denis Deratani
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 110-122
id: cozman16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 110
lastpage: 122
published: 2016-08-15 00:00:00 +0000
- title: 'Reintroducing Credal Networks under Epistemic Irrelevance'
abstract: 'A credal network under epistemic irrelevance is a generalised version of a Bayesian network that loosens its two main building blocks. On the one hand, the local probabilities do not have to be specified exactly. On the other hand, the assumptions of independence do not have to hold exactly. Conceptually, these credal networks are elegant and useful. However, in practice, they have long remained very hard to work with, both theoretically and computationally. This paper provides a general introduction to this type of credal networks and presents some promising new theoretical developments that were recently proved using sets of desirable gambles and lower previsions. We explain these developments in terms of probabilities and expectations, thereby making them more easily accessible to the Bayesian network community.'
volume: 52
URL: http://proceedings.mlr.press/v52/debock16.html
PDF: http://proceedings.mlr.press/v52/debock16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-debock16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: De Bock
given: Jasper
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 123-135
id: debock16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 123
lastpage: 135
published: 2016-08-15 00:00:00 +0000
- title: 'Bayesian Torrent Classification by File Name and Size Only'
abstract: 'Torrent traffic, much of which is assumed to be illegal downloads of copyrighted content, accounts for up to 35% of internet downloads. Yet, the process of classification and identification of these downloads is unclear, and original data for such studies is often unavailable. Many torrent items lack supporting description or meta-data, in which case only file name and size are available. We describe a novel Bayesian network based classifier system that predicts medium category, pornographic content and risk of fakes and malware based on torrent name and size, optionally supplemented with external databases of titles and actors. We show that our method outperforms a commercial benchmark system and has the potential to rival human classifiers.'
volume: 52
URL: http://proceedings.mlr.press/v52/dementiev16.html
PDF: http://proceedings.mlr.press/v52/dementiev16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-dementiev16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Dementiev
given: Eugene
- family: Fenton
given: Norman
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 136-146
id: dementiev16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 136
lastpage: 146
published: 2016-08-15 00:00:00 +0000
- title: 'Multi-Label Classification with Cutset Networks'
abstract: 'In this work, we tackle the problem of Multi-Label Classification (MLC) by using Cutset Networks (CNets), weighted probabilistic model trees, recently proposed as \emphtractable probabilistic models for discrete distributions. We employ CNets to perform Most Probable Explanation (MPE) inference exactly and efficiently and we improve a state-of-the-art structure learning algorithm for CNets by explicitly taking advantage of label dependencies. We achieve this by forcing the tree inner nodes to represent only feature variables and by exploiting structural heuristics while learning the leaf models. A thorough experimental evaluation on ten real-world datasets shows how the proposed approach improves several metrics for MLC, proving it to be competitive with problem transformation methods like classifier chains.'
volume: 52
URL: http://proceedings.mlr.press/v52/dimauro16.html
PDF: http://proceedings.mlr.press/v52/dimauro16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-dimauro16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Di Mauro
given: Nicola
- family: Vergari
given: Antonio
- family: Esposito
given: Floriana
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 147-158
id: dimauro16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 147
lastpage: 158
published: 2016-08-15 00:00:00 +0000
- title: 'Statistical Matching of Discrete Data by Bayesian Networks'
abstract: 'Statistical matching (also known as data fusion, data merging, or data integration) is the umbrella term for a collection of methods which serve to combine different data sources. The objective is to obtain joint information about variables which have not jointly been collected in one survey, but on two (or more) surveys with disjoint sets of observation units. Besides specific variables for the different data files, it is indispensable to have common variables which are observed in both data sets and on basis of which the matching can be performed. Several existing statistical matching approaches are based on the assumption of conditional independence of the specific variables given the common variables. Relying on the well-known fact that d-separation is related to conditional independence for a probability distribution which factorizes along a directed acyclic graph, we suggest to use probabilistic graphical models as a powerful tool for statistical matching. In this paper, we describe and discuss first attempts for statistical matching of discrete data by Bayesian networks. The approach is exemplarily applied to data collected within the scope of the German General Social Survey.'
volume: 52
URL: http://proceedings.mlr.press/v52/endres16.html
PDF: http://proceedings.mlr.press/v52/endres16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-endres16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Endres
given: Eva
- family: Augustin
given: Thomas
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 159-170
id: endres16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 159
lastpage: 170
published: 2016-08-15 00:00:00 +0000
- title: 'An Exact Approach to Learning Probabilistic Relational Model'
abstract: 'Probabilistic Graphical Models (PGMs) offer a popular framework including a variety of statistical formalisms, such as Bayesian networks (BNs). These latter are able to depict real-world situations with high degree of uncertainty. Due to their power and flexibility, several extensions were proposed, ensuring thereby the suitability of their use. Probabilistic Relational Models (PRMs) extend BNs to work with relational databases rather than propositional data. Their construction represents an active area since it remains the most complicated issue. Only few works have been proposed in this direction, and most of them don’t guarantee an optimal identification of their dependency structure. In this paper we intend to propose an approach that ensures returning an optimal PRM structure. It is inspired from a BN method whose performance was already proven.'
volume: 52
URL: http://proceedings.mlr.press/v52/ettouzi16.html
PDF: http://proceedings.mlr.press/v52/ettouzi16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-ettouzi16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Ettouzi
given: Nourhene
- family: Leray
given: Philippe
- family: Ben Messaoud
given: Montassar
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 171-182
id: ettouzi16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 171
lastpage: 182
published: 2016-08-15 00:00:00 +0000
- title: 'Identifying the irreducible disjoint factors of a multivariate probability distribution'
abstract: 'We study the problem of decomposing a multivariate probability distribution p(\mathbfv) defined over a set of random variables \mathbfV={V_1,…,V_n} into a product of factors defined over disjoint subsets {\mathbfV_F_1,…,\mathbfV_F_m}. We show that the decomposition of \mathbfV into irreducible disjoint factors forms a unique partition, which corresponds to the connected components of a Bayesian or Markov network, given that it is faithful to p. Finally, we provide three generic procedures to identify these factors with O(n^2) pairwise conditional independence tests (V_i\perp V_j \mathbin∣\mathbfZ) under much less restrictive assumptions: 1) p supports the Intersection property ii) p supports the Composition property iii) no assumption at all.'
volume: 52
URL: http://proceedings.mlr.press/v52/gasse16.html
PDF: http://proceedings.mlr.press/v52/gasse16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-gasse16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Gasse
given: Maxime
- family: Aussem
given: Alex
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 183-194
id: gasse16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 183
lastpage: 194
published: 2016-08-15 00:00:00 +0000
- title: 'On Stacking Probabilistic Temporal Models with Bidirectional Information Flow'
abstract: 'We discuss hierarchical combinations of probabilistic models where the upper layer is crafted for predicting time-series data. The combination of models makes the naïve Bayes assumption, stating that the latent variables of the models are independent given the time-indexed label variables. In this setting an additional independence assumption between time steps and mildly inconsistent results are often accepted to make inference computationally feasible. We discuss how the application of approximate inference to the practically intractable joint model instead, shifts the need for these simplifications from model design time to inference time, and the application of loopy belief propagation to the joint model realizes bidirectional communication between models during inference. A first empirical evaluation of the proposed architecture on an activity recognition task demonstrates the benefits of the layered architecture and examines the effects of bidirectional information flow.'
volume: 52
URL: http://proceedings.mlr.press/v52/geier16.html
PDF: http://proceedings.mlr.press/v52/geier16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-geier16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Geier
given: Thomas
- family: Glodek
given: Michael
- family: Layher
given: Georg
- family: Neumann
given: Heiko
- family: Biundo
given: Susanne
- family: Palm
given: Günther
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 195-206
id: geier16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 195
lastpage: 206
published: 2016-08-15 00:00:00 +0000
- title: 'A Differential Approach to Causality in Staged Trees'
abstract: 'In this paper, we apply a recently developed differential approach to inference in staged tree models to causal inference. Staged trees generalise modelling techniques established for Bayesian networks (BN). They have the advantage that they can depict highly nuanced structure impossible to express in a BN and also enable us to perform causal manipulations associated with very general types of interventions on the system. Conveniently, what we call the interpolating polynomial of a staged tree has been found to be an analogue to the essential graph of a BN. By analysing this polynomial in a differential framework, we find that interventions on the model can be expressed as a very simple operation. We can therefore clearly state causal hypotheses which are invariant for all staged trees representing the same causal model. The technology we develop here, illustrated through a simple example, enables us to search for a variety of complex manipulations in large systems accurately and efficiently.'
volume: 52
URL: http://proceedings.mlr.press/v52/goergen16.html
PDF: http://proceedings.mlr.press/v52/goergen16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-goergen16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Görgen
given: Christiane
- family: Smith
given: Jim Q.
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 207-215
id: goergen16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 207
lastpage: 215
published: 2016-08-15 00:00:00 +0000
- title: 'Causal Discovery from Subsampled Time Series Data by Constraint Optimization'
abstract: 'This paper focuses on causal structure estimation from time series data in which measurements are obtained at a coarser timescale than the causal timescale of the underlying system. Previous work has shown that such subsampling can lead to significant errors about the system’s causal structure if not properly taken into account. In this paper, we first consider the search for the system timescale causal structures that correspond to a given measurement timescale structure. We provide a constraint satisfaction procedure whose computational performance is several orders of magnitude better than previous approaches. We then consider finite-sample data as input, and propose the first constraint optimization approach for recovering the system timescale causal structure. This algorithm optimally recovers from possible conflicts due to statistical errors. More generally, these advances allow for a robust and non-parametric estimation of system timescale causal structures from subsampled time series data.'
volume: 52
URL: http://proceedings.mlr.press/v52/hyttinen16.html
PDF: http://proceedings.mlr.press/v52/hyttinen16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-hyttinen16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Hyttinen
given: Antti
- family: Plis
given: Sergey
- family: Järvisalo
given: Matti
- family: Eberhardt
given: Frederick
- family: Danks
given: David
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 216-227
id: hyttinen16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 216
lastpage: 227
published: 2016-08-15 00:00:00 +0000
- title: 'Online Algorithms for Sum-Product Networks with Continuous Variables'
abstract: 'Sum-product networks (SPNs) have recently emerged as an attractive representation due to their dual interpretation as a special type of deep neural network with clear semantics and a tractable probabilistic graphical model. We explore online algorithms for parameter learning in SPNs with continuous variables. More specifically, we consider SPNs with Gaussian leaf distributions and show how to derive an online Bayesian moment matching algorithm to learn from streaming data. We compare the resulting generative models to stacked restricted Boltzmann machines and generative moment matching networks on real-world datasets.'
volume: 52
URL: http://proceedings.mlr.press/v52/jaini16.html
PDF: http://proceedings.mlr.press/v52/jaini16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-jaini16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Jaini
given: Priyank
- family: Rashwan
given: Abdullah
- family: Zhao
given: Han
- family: Liu
given: Yue
- family: Banijamali
given: Ershad
- family: Chen
given: Zhitang
- family: Poupart
given: Pascal
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 228-239
id: jaini16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 228
lastpage: 239
published: 2016-08-15 00:00:00 +0000
- title: 'Hybrid Copula Bayesian Networks'
abstract: 'This paper introduces the hybrid copula Bayesian network (HCBN) model, a generalization of the copula Bayesian network (CBN) model developed by Elidan (2010) for continuous random variables to multivariate mixed probability distributions of discrete and continuous random variables. To this end, we extend the theorems proved by Nešlehovà (2007) from bivariate to multivariate copulas with discrete and continuous marginal distributions. Using the multivariate copula with discrete and continuous marginal distributions as a theoretical basis, we construct an HCBN that can model all possible permutations of discrete and continuous random variables for parent and child nodes, unlike the popular conditional linear Gaussian network model. Finally, we demonstrate on a numerous synthetic datasets and a real life dataset that our HCBN compares favorably, from a modeling and flexibility viewpoint, to other hybrid models including the conditional linear Gaussian and the mixture of truncated exponentials models.'
volume: 52
URL: http://proceedings.mlr.press/v52/karra16.html
PDF: http://proceedings.mlr.press/v52/karra16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-karra16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Karra
given: Kiran
- family: Mili
given: Lamine
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 240-251
id: karra16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 240
lastpage: 251
published: 2016-08-15 00:00:00 +0000
- title: 'Making Large Cox’s Proportional Hazard Models Tractable in Bayesian Networks'
abstract: 'Cox’s proportional hazard (CPH) model is a statistical technique that captures the interaction between a set of risk factors and an effect variable. While the CPH model is popular in survival analysis, Bayesian networks offer an attractive alternative that is intuitive, general, theoretically sound, and avoids CPH model’s restrictive assumptions. Existing CPH models are a great source of existing knowledge that can be reused in Bayesian networks. The main problem with applying Bayesian networks to survival analysis is their exponential growth in complexity as the number of risk factors increases. It is not uncommon to see complex CPH models with as many as 20 risk factors. Our paper focuses on making large survival analysis models derived from the CPH model tractable in Bayesian networks. We evaluate the effect of two complexity reduction techniques: (1) parent divorcing, and (2) removing less important risk factors based on the accuracy of the resulting models.'
volume: 52
URL: http://proceedings.mlr.press/v52/kraisangka16.html
PDF: http://proceedings.mlr.press/v52/kraisangka16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-kraisangka16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Kraisangka
given: Jidapa
- family: Druzdzel
given: Marek J.
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 252-263
id: kraisangka16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 252
lastpage: 263
published: 2016-08-15 00:00:00 +0000
- title: 'The Parameterized Complexity of Approximate Inference in Bayesian Networks'
abstract: 'Computing posterior and marginal probabilities constitutes the backbone of almost all inferences in Bayesian networks. These computations are known to be intractable in general, both to compute exactly and to approximate by sampling algorithms. While it is well known under what constraints \em exact computation can be rendered tractable (viz., bounding tree-width of the moralized network and bounding the cardinality of the variables) it is less known under what constraints \em approximate Bayesian inference can be tractable. Here, we use the formal framework of \em fixed-error randomized tractability (a randomized analogue of fixed-parameter tractability) to address this problem, both by re-interpreting known results from the literature and providing some additional new results, including results on fixed parameter tractable de-randomization of approximate inference.'
volume: 52
URL: http://proceedings.mlr.press/v52/kwisthout16.html
PDF: http://proceedings.mlr.press/v52/kwisthout16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-kwisthout16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Kwisthout
given: Johan
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 264-274
id: kwisthout16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 264
lastpage: 274
published: 2016-08-15 00:00:00 +0000
- title: 'A Progressive Explanation of Inference in ‘Hybrid’ Bayesian Networks for Supporting Clinical Decision Making'
abstract: 'Many Bayesian networks (BNs) have been developed as decision support tools. However, far fewer have been used in practice. Sometimes it is assumed that an accurate prediction is enough for useful decision support but this neglects the importance of trust: a user who does not trust a tool will not accept its advice. Giving users an explanation of the way a BN reasons may make its predictions easier to trust. In this study, we propose a progressive explanation of inference that can be applied to any hybrid BN. The key questions that we answer are: which important evidence supports or contradicts the prediction and through which intermediate variables does the evidence flow. The explanation is illustrated using different scenarios in a BN designed for medical decision support.'
volume: 52
URL: http://proceedings.mlr.press/v52/kyrimi16.html
PDF: http://proceedings.mlr.press/v52/kyrimi16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-kyrimi16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Kyrimi
given: Evangelia
- family: Marsh
given: William
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 275-286
id: kyrimi16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 275
lastpage: 286
published: 2016-08-15 00:00:00 +0000
- title: 'Learning Parameters of Hybrid Time Bayesian Networks'
abstract: 'Time granularity is an important factor in characterizing dynamical systems. Hybrid time Bayesian networks model the dynamics of systems that contain both irregularly-timed variables and variables whose evolution is naturally described by discrete time. The former observations are modeled as variables in continuous-time manner and the latter are modeled by discrete-time random variables. We address the problem of learning parameters of hybrid time models from complete data where all the states are known at any time point, and from incomplete trajectories, where continuous-time variables are observed only at some time points. We show that for the complete case, the parameters can be estimated straightforwardly. When some continuous-time variables are (partially) unobserved, it becomes infeasible to learn the parameters in closed form. In that case, we propose to use Markov chain Monte Carlo sampling to estimate the posterior distribution over the parameters. We tested the approach on a number of hybrid time models where continuous-time variables are completely or partially observed, showing that close estimation of the original parameters can be recovered. A medical example is used to illustrate the learning parameters of hybrid time Bayesian networks.'
volume: 52
URL: http://proceedings.mlr.press/v52/liu16.html
PDF: http://proceedings.mlr.press/v52/liu16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-liu16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Liu
given: Manxia
- family: Hommersom
given: Arjen
- family: van der Heijden
given: Maarten
- family: Lucas
given: Peter J.F.
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 287-298
id: liu16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 287
lastpage: 298
published: 2016-08-15 00:00:00 +0000
- title: 'Estimating Causal Effects with Ancestral Graph Markov Models'
abstract: 'We present an algorithm for estimating bounds on causal effects from observational data which combines graphical model search with simple linear regression. We assume that the underlying system can be represented by a linear structural equation model with no feedback, and we allow for the possibility of latent variables. Under assumptions standard in the causal search literature, we use conditional independence constraints to search for an equivalence class of ancestral graphs. Then, for each model in the equivalence class, we perform the appropriate regression (using causal structure information to determine which covariates to include in the regression) to estimate a set of possible causal effects. Our approach is based on the “IDA” procedure of Maathuis et al. (2009), which assumes that all relevant variables have been measured (i.e., no unmeasured confounders). We generalize their work by relaxing this assumption, which is often violated in applied contexts. We validate the performance of our algorithm on simulated data and demonstrate improved precision over IDA when latent variables are present.'
volume: 52
URL: http://proceedings.mlr.press/v52/malinsky16.html
PDF: http://proceedings.mlr.press/v52/malinsky16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-malinsky16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Malinsky
given: Daniel
- family: Spirtes
given: Peter
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 299-309
id: malinsky16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 299
lastpage: 309
published: 2016-08-15 00:00:00 +0000
- title: 'Joint Bayesian Modelling of Internal Dependencies and Relevant Multimorbidities of a Heterogeneous Disease'
abstract: 'A heterogeneous target disease represented by multiple descriptors and disease subtypes frequently has a rich internal dependency structure. The identification of comorbidities and particularly the multimorbidities of such diseases requires very large sample size as relevant comorbidities may form complex interactions. We demonstrate this phenomena by applying a Bayesian probabilistic graphical model on a large-scale medical datasets UK Biobank (117,392 samples), specifically by showing that in this case the posterior landscape of multimorbidities is still flat. As a potential solution, we evaluate a Bayesian method, which provides a hierarchic, multivariate characterization of strongly relevant morbidities and a Bayesian, systems-based score for exploring interactions for a heterogeneous disease. It explores complete sets of strongly relevant comorbidities using full multivariate representation for the internal dependencies within the target disease. We used depression as target, a heterogeneous disease in the UK Biobank dataset. Results are compared against scenarios using a univariate and an independent, multivariate representation of the target medical condition, specifically investigating multitarget interaction posteriors and its approximations.'
volume: 52
URL: http://proceedings.mlr.press/v52/marx16.html
PDF: http://proceedings.mlr.press/v52/marx16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-marx16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Marx
given: Péter
- family: Millinghoffer
given: András
- family: Juhász
given: Gabriella
- family: Antal
given: Péter
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 310-320
id: marx16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 310
lastpage: 320
published: 2016-08-15 00:00:00 +0000
- title: 'd-VMP: Distributed Variational Message Passing'
abstract: 'Motivated by a real-world financial dataset, we propose a distributed variational message passing scheme for learning conjugate exponential models. We show that the method can be seen as a projected natural gradient ascent algorithm, and it therefore has good convergence properties. This is supported experimentally, where we show that the approach is robust wrt. common problems like imbalanced data, heavy-tailed empirical distributions, and a high degree of missing values. The scheme is based on map-reduce operations, and utilizes the memory management of modern big data frameworks like Apache Flink to obtain a time-efficient and scalable implementation. The proposed algorithm compares favourably to stochastic variational inference both in terms of speed and quality of the learned models. For the scalability analysis, we evaluate our approach over a network with more than one billion nodes (and approx. 75% latent variables) using a computer cluster with 128 processing units.'
volume: 52
URL: http://proceedings.mlr.press/v52/masegosa16.html
PDF: http://proceedings.mlr.press/v52/masegosa16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-masegosa16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Masegosa
given: Andrés R.
- family: Martı́nez
given: Ana M.
- family: Langseth
given: Helge
- family: Nielsen
given: Thomas D.
- family: Salmerón
given: Antonio
- family: Ramos-López
given: Darío
- family: Madsen
given: Anders L.
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 321-332
id: masegosa16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 321
lastpage: 332
published: 2016-08-15 00:00:00 +0000
- title: 'The Effect of Combination Functions on the Complexity of Relational Bayesian Networks'
abstract: 'We study the complexity of marginal inference with Relational Bayesian Networks as parameterized by their probability formulas. We show that without combination functions, inference is #\sc\MakeLowercaseP-equivalent, displaying the same complexity as standard Bayesian networks (this is so even when relations have unbounded arity and when the domain is succinctly specified in binary notation). By allowing increasingly more expressive probability formulas using only maximization as combination, we obtain inferential complexity that ranges from #\sc\MakeLowercasep-equivalent to \sc\MakeLowercasefpspace-complete to \sc\MakeLowercaseexp-hard. In fact, by suitable restrictions to the number of nestings of combination functions, we obtain complexity classes in all levels of the counting hierarchy. Finally, we investigate the use of arbitrary combination functions and obtain that inference is \sc\MakeLowercasefexp-complete even under a seemingly strong restriction.'
volume: 52
URL: http://proceedings.mlr.press/v52/maua16.html
PDF: http://proceedings.mlr.press/v52/maua16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-maua16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Mauá
given: Denis Deratani
- family: Cozman
given: Fabio Gagliardi
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 333-344
id: maua16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 333
lastpage: 344
published: 2016-08-15 00:00:00 +0000
- title: 'Dynamic Sum Product Networks for Tractable Inference on Sequence Data'
abstract: 'Sum-Product Networks (SPN) have recently emerged as a new class of tractable probabilistic models. Unlike Bayesian networks and Markov networks where inference may be exponential in the size of the network, inference in SPNs is in time linear in the size of the network. Since SPNs represent distributions over a fixed set of variables only, we propose dynamic sum product networks (DSPNs) as a generalization of SPNs for sequence data of varying length. A DSPN consists of a template network that is repeated as many times as needed to model data sequences of any length. We present a local search technique to learn the structure of the template network. In contrast to dynamic Bayesian networks for which inference is generally exponential in the number of variables per time slice, DSPNs inherit the linear inference complexity of SPNs. We demonstrate the advantages of DSPNs over DBNs and other models on several datasets of sequence data.'
volume: 52
URL: http://proceedings.mlr.press/v52/melibari16.html
PDF: http://proceedings.mlr.press/v52/melibari16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-melibari16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Melibari
given: Mazen
- family: Poupart
given: Pascal
- family: Doshi
given: Prashant
- family: Trimponias
given: George
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 345-355
id: melibari16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 345
lastpage: 355
published: 2016-08-15 00:00:00 +0000
- title: 'Regression Methods Applied to Flight Variables for Situational Awareness Estimation Using Dynamic Bayesian Networks'
abstract: 'Situational awareness can be a valuable indicator of the performance of flight crews and the way pilots manage navigation information can be relevant to its estimation. In this research, dynamic Bayesian networks are applied to a dataset of variables both collected in real time during simulated flights and added with expert knowledge. This paper compares different approaches to the discretization of continuous variables and to the estimation of pilot actions based on variable regression, in order to optimize the model performance.'
volume: 52
URL: http://proceedings.mlr.press/v52/morales16.html
PDF: http://proceedings.mlr.press/v52/morales16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-morales16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Morales
given: Carlos
- family: Moral
given: Serafín
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 356-367
id: morales16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 356
lastpage: 367
published: 2016-08-15 00:00:00 +0000
- title: 'A Hybrid Causal Search Algorithm for Latent Variable Models'
abstract: 'Existing score-based causal model search algorithms such as \textitGES (and a speeded up version, \textitFGS) are asymptotically correct, fast, and reliable, but make the unrealistic assumption that the true causal graph does not contain any unmeasured confounders. There are several constraint-based causal search algorithms (e.g \textitRFCI, \emphFCI, or \emphFCI+) that are asymptotically correct without assuming that there are no unmeasured confounders, but often perform poorly on small samples. We describe a combined score and constraint-based algorithm, \emphGFCI, that we prove is asymptotically correct. On synthetic data, \textitGFCI is only slightly slower than \emphRFCI but more accurate than \textitFCI, \textitRFCI and \textitFCI+.'
volume: 52
URL: http://proceedings.mlr.press/v52/ogarrio16.html
PDF: http://proceedings.mlr.press/v52/ogarrio16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-ogarrio16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Ogarrio
given: Juan Miguel
- family: Spirtes
given: Peter
- family: Ramsey
given: Joe
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 368-379
id: ogarrio16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 368
lastpage: 379
published: 2016-08-15 00:00:00 +0000
- title: 'Bayesian Networks for Variable Groups'
abstract: 'Bayesian networks, and especially their structures, are powerful tools for representing conditional independencies and dependencies between random variables. In applications where related variables form \empha priori known groups, chosen to represent different “views” to or aspects of the same entities, one may be more interested in modeling dependencies between groups of variables rather than between individual variables. Motivated by this, we study prospects of representing relationships between variable groups using Bayesian network structures. We show that for dependency structures between groups to be expressible exactly, the data have to satisfy the so-called groupwise faithfulness assumption. We also show that one cannot learn causal relations between groups using only groupwise conditional independencies, but also variable-wise relations are needed. Additionally, we present algorithms for finding the groupwise dependency structures.'
volume: 52
URL: http://proceedings.mlr.press/v52/parviainen16.html
PDF: http://proceedings.mlr.press/v52/parviainen16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-parviainen16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Parviainen
given: Pekka
- family: Kaski
given: Samuel
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 380-391
id: parviainen16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 380
lastpage: 391
published: 2016-08-15 00:00:00 +0000
- title: 'Learning Acyclic Directed Mixed Graphs from Observations and Interventions'
abstract: 'We introduce a new family of mixed graphical models that consists of graphs with possibly directed, undirected and bidirected edges but without directed cycles. Moreover, there can be up to three edges between any pair of nodes. The new family includes Richardson’s acyclic directed mixed graphs, as well as Andersson-Madigan-Perlman chain graphs. These features imply that no family of mixed graphical models that we know of subsumes the new models. We also provide a causal interpretation of the new models as systems of structural equations with correlated errors. Finally, we describe an exact algorithm for learning the new models from observational and interventional data via answer set programming.'
volume: 52
URL: http://proceedings.mlr.press/v52/pena16.html
PDF: http://proceedings.mlr.press/v52/pena16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-pena16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Peña
given: Jose M.
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 392-402
id: pena16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 392
lastpage: 402
published: 2016-08-15 00:00:00 +0000
- title: 'Student Skill Models in Adaptive Testing'
abstract: 'This paper provides a common framework, a generic model, for Computerized Adaptive Testing (CAT) for different model types. We present question selection methods for CAT for this generic model. We use three different types of models, Item Response Theory, Bayesian Networks, and Neural Networks, that instantiate the generic model. We illustrate the usefulness of a special model condition – the monotonicity – and discuss its inclusion in these model types. With Bayesian networks we use specific type of learning using generalized linear models to ensure the monotonicity. We conducted simulated CAT tests on empirical data. Behavior of individual models was assessed based on these tests. The best performing model was the BN model constructed by a domain expert its parameters were learned from data under the monotonicity condition.'
volume: 52
URL: http://proceedings.mlr.press/v52/plajner16.html
PDF: http://proceedings.mlr.press/v52/plajner16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-plajner16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Plajner
given: Martin
- family: Vomlel
given: Jiří
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 403-414
id: plajner16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 403
lastpage: 414
published: 2016-08-15 00:00:00 +0000
- title: 'Scalable MAP inference in Bayesian networks based on a Map-Reduce approach'
abstract: 'Maximum a posteriori (MAP) inference is a particularly complex type of probabilistic inference in Bayesian networks. It consists of finding the most probable configuration of a set of variables of interest given observations on a collection of other variables. In this paper we study scalable solutions to the MAP problem in hybrid Bayesian networks parameterized using conditional linear Gaussian distributions. We propose scalable solutions based on hill climbing and simulated annealing, built on the Apache Flink framework for big data processing. We analyze the scalability of the solution through a series of experiments on large synthetic networks.'
volume: 52
URL: http://proceedings.mlr.press/v52/ramos-lopez16.html
PDF: http://proceedings.mlr.press/v52/ramos-lopez16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-ramos-lopez16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Ramos-López
given: Darı́o
- family: Salmerón
given: Antonio
- family: Rumı́
given: Rafel
- family: Martı́nez
given: Ana M.
- family: Nielsen
given: Thomas D.
- family: Masegosa
given: Andrés R.
- family: Langseth
given: Helge
- family: Madsen
given: Anders L.
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 415-425
id: ramos-lopez16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 415
lastpage: 425
published: 2016-08-15 00:00:00 +0000
- title: 'Evidence Evaluation: a Study of Likelihoods and Independence'
abstract: 'In the context of evidence evaluation, where the probability of evidence given a certain hypothesis is considered, different pieces of evidence are often combined in a naive way by assuming conditional independence. In this paper we present a number of results that can be used to assess both the importance of a reliable likelihood-ratio estimate and the impact of neglecting dependencies among pieces of evidence for the purpose of evidence evaluation. We analytically study the effect of changes in dependencies between pieces of evidence on the likelihood ratio, and provide both theoretical and empirical bounds on the error in likelihood occasioned by assuming independences that do not hold in practice. In addition, a simple measure of influence strength between pieces of evidence is proposed.'
volume: 52
URL: http://proceedings.mlr.press/v52/renooij16.html
PDF: http://proceedings.mlr.press/v52/renooij16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-renooij16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Renooij
given: Silja
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 426-437
id: renooij16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 426
lastpage: 437
published: 2016-08-15 00:00:00 +0000
- title: 'An Empirical-Bayes Score for Discrete Bayesian Networks'
abstract: 'Bayesian network structure learning is often performed in a Bayesian setting, by evaluating candidate structures using their posterior probabilities for a given data set. Score-based algorithms then use those posterior probabilities as an objective function and return the \emphmaximum a posteriori network as the learned model. For discrete Bayesian networks, the canonical choice for a posterior score is the Bayesian Dirichlet equivalent uniform (BDeu) marginal likelihood with a uniform (U) graph prior (Heckerman et al., 1995). Its favourable theoretical properties descend from assuming a uniform prior both on the space of the network structures and on the space of the parameters of the network. In this paper, we revisit the limitations of these assumptions and we introduce an alternative set of assumptions and the resulting score: the Bayesian Dirichlet sparse (BDs) empirical Bayes marginal likelihood with a marginal uniform (MU) graph prior. We evaluate its performance in an extensive simulation study, showing that MU+BDs is more accurate than U+BDeu both in learning the structure of the network and in predicting new observations, while not being computationally more complex to estimate.'
volume: 52
URL: http://proceedings.mlr.press/v52/scutari16.html
PDF: http://proceedings.mlr.press/v52/scutari16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-scutari16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Scutari
given: Marco
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 438-448
id: scutari16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 438
lastpage: 448
published: 2016-08-15 00:00:00 +0000
- title: 'Estimating Mutual Information in Under-Reported Variables'
abstract: 'Under-reporting occurs in survey data when there is a reason to systematically misreport the response to a question. For example, in studies dealing with low birth weight infants, the smoking habits of the mother are very likely to be misreported. This creates problems for calculating effect sizes, such as bias, but these problems are commonly ignored due to lack of generally accepted solutions. We reinterpret this as a problem of learning from missing data, and particularly learning from positive and unlabelled data. By this formalisation we provide a simple method to incorporate prior knowledge of the misreporting and we present how we can use this knowledge to derive corrected point and interval estimates of the mutual information. Then we show how our corrected estimators outperform more complex approaches and we present applications of our theoretical results in real world problems and machine learning tasks.'
volume: 52
URL: http://proceedings.mlr.press/v52/sechidis16.html
PDF: http://proceedings.mlr.press/v52/sechidis16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-sechidis16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Sechidis
given: Konstantinos
- family: Sperrin
given: Matthew
- family: Petherick
given: Emily
- family: Brown
given: Gavin
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 449-461
id: sechidis16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 449
lastpage: 461
published: 2016-08-15 00:00:00 +0000
- title: 'Decisions and Dependence in Influence Diagrams'
abstract: 'The concept of dependence among variables in a Bayesian belief network is well understood, but what does it mean in an influence diagram where some of those variables are decisions? There are three quite different answers to this question that take the familiar concepts for uncertain variables and extend them to decisions. First is responsiveness, whether the choice for a decision affects another variable. Second is materiality, whether observing other variables before making a decision affects the choice for the decision and thus improves its quality. Third is the usual notion of dependence, assuming that all of the decisions are made optimally given the information available at the time of the decisions. There are some subtleties involved, but all three types of decision dependence can be quite useful for understanding a decision model.'
volume: 52
URL: http://proceedings.mlr.press/v52/shachter16.html
PDF: http://proceedings.mlr.press/v52/shachter16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-shachter16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Shachter
given: Ross D.
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 462-473
id: shachter16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 462
lastpage: 473
published: 2016-08-15 00:00:00 +0000
- title: 'Exact Inference on Conditional Linear Γ-Gaussian Bayesian Networks'
abstract: 'Exact inference for Bayesian Networks is only possible for quite limited classes of networks. Examples of such classes are discrete networks, conditional linear Gaussian networks, networks using mixtures of truncated exponentials, and networks with densities expressed as truncated polynomials. This paper defines another class with exact inference, based on the normal inverse gamma conjugacy. We describe the theory of this class as well as exemplify our implemented inference algorithm in a practical example. Although generally small and simple, we believe these kinds of networks are potentially quite useful, on their own or in combination with other algorithms and methods for Bayesian Network inference.'
volume: 52
URL: http://proceedings.mlr.press/v52/simonsson16.html
PDF: http://proceedings.mlr.press/v52/simonsson16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-simonsson16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Simonsson
given: Ivar
- family: Mostad
given: Petter
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 474-486
id: simonsson16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 474
lastpage: 486
published: 2016-08-15 00:00:00 +0000
- title: 'Computing Lower and Upper Bounds on the Probability of Causal Statements'
abstract: 'Causal discovery provides an opportunity to infer causal relationships from purely observational data and to predict the effect of interventions. Constraint-based methods for causal discovery exploit conditional (in)dependencies to infer the direction of causal relationships. They typically work through forward chaining: given some causal statements, others can be inferred by applying relatively straightforward causal logic such as transitivity and acyclicity. Starting from the premise that we can estimate reliabilities for base causal statements, we propose a novel approach to estimate the reliability of novel statements inferred by forward chaining. Since reliabilities for base statements are clearly dependent, if only because inferred from the same data, exact computation is infeasible. However, lending ideas from the area of imprecise probability theory, we can compute bounds on the reliabilities on inferred statements. Specifically, we make use of the good old Fréchet inequalities and discuss two different variants: greedy and delayed. In simulation experiments, we show that the delayed variant, at the expense of more bookkeeping and computation time, does provide slightly tighter intervals. We illustrate our method on a real-world data set about attention deficit/hyperactivity disorder.'
volume: 52
URL: http://proceedings.mlr.press/v52/sokolova16.html
PDF: http://proceedings.mlr.press/v52/sokolova16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-sokolova16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Sokolova
given: Elena
- family: Hoogman
given: Martine
- family: Groot
given: Perry
- family: Claassen
given: Tom
- family: Heskes
given: Tom
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 487-498
id: sokolova16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 487
lastpage: 498
published: 2016-08-15 00:00:00 +0000
- title: 'The Chordal Graph Polytope for Learning Decomposable Models'
abstract: 'This theoretical paper is inspired by an \em integer linear programming (ILP) approach to learning the structure of \em decomposable models. We intend to represent decomposable models by special zero-one vectors, named \em characteristic imsets. Our approach leads to the study of a special polytope, defined as the convex hull of all characteristic imsets for chordal graphs, named the \em chordal graph polytope. We introduce a class of \em clutter inequalities and show that all of them are valid for (the vectors in) the polytope. In fact, these inequalities are even facet-defining for the polytope and we dare to conjecture that they lead to a complete polyhedral description of the polytope. Finally, we propose an LP method to solve the \em separation problem with these inequalities for use in a cutting plane approach.'
volume: 52
URL: http://proceedings.mlr.press/v52/studeny16.html
PDF: http://proceedings.mlr.press/v52/studeny16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-studeny16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Studený
given: Milan
- family: Cussens
given: James
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 499-510
id: studeny16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 499
lastpage: 510
published: 2016-08-15 00:00:00 +0000
- title: 'A Genetic Algorithm for Learning Parameters in Bayesian Networks using Expectation Maximization'
abstract: 'Expectation maximization (EM) is a popular algorithm for parameter estimation in situations with incomplete data. The EM algorithm has, despite its popularity, the disadvantage of often converging to local but non-global optima. Several techniques have been proposed to address this problem, for example initializing EM from multiple random starting points and then selecting the run with the highest likelihood. Unfortunately, this method is computationally expensive. In this paper, our goal is to reduce computational cost while at the same time maximizing likelihood. We propose a Genetic Algorithm for Expectation Maximization (GAEM) for learning parameters in Bayesian networks. GAEM combines the global search property of a genetic algorithm with the local search property of EM. We prove GAEM’s global convergence theoretically. Experimentally, we show that GAEM provides significant speed-ups since it tends to select more fit individuals, which converge faster, as parents for the next generation. Specifically, GAEM converges 1.5 to 7 times faster while producing better log-likelihood scores than the traditional EM algorithm.'
volume: 52
URL: http://proceedings.mlr.press/v52/sundararajan16.html
PDF: http://proceedings.mlr.press/v52/sundararajan16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-sundararajan16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Sundararajan
given: Priya Krishnan
- family: Mengshoel
given: Ole J.
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 511-522
id: sundararajan16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 511
lastpage: 522
published: 2016-08-15 00:00:00 +0000
- title: 'On Construction of Hybrid Logistic Regression-Naïve Bayes Model for Classification'
abstract: 'In recent years, several authors have described a hybrid discriminative-generative model for classification. In this paper we examine construction of such hybrid models from data where we use logistic regression (LR) as a discriminative component, and naïve Bayes (NB) as a generative component. First, we estimate a Markov blanket of the class variable to reduce the set of features. Next, we use a heuristic to partition the set of features in the Markov blanket into those that are assigned to the LR part, and those that are assigned to the NB part of the hybrid model. The heuristic is based on reducing the conditional dependence of the features in NB part of the hybrid model given the class variable. We implement our method on 21 different classification datasets, and we compare the prediction accuracy of hybrid models with those of pure LR and pure NB models.'
volume: 52
URL: http://proceedings.mlr.press/v52/tan16.html
PDF: http://proceedings.mlr.press/v52/tan16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-tan16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Tan
given: Yi
- family: Shenoy
given: Prakash P.
- family: Chan
given: Moses W.
- family: Romberg
given: Paul M.
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 523-534
id: tan16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 523
lastpage: 534
published: 2016-08-15 00:00:00 +0000
- title: 'Compressing Bayes Net CPTs with Persistent Leaky Causes'
abstract: 'Non-Impeding Noisy-AND (NIN-AND) Trees (NATs) offer a highly expressive compressed casual model for significantly reducing space and inference time of Bayesian Nets (BNs). A causal model often includes a leaky cause for all causes not explicitly named. A leaky cause may be persistent or not. A conditional probability table (CPT) in a BN often behaves as if there is a persistent leaky cause (PLC). We discuss limitations for not modeling PLC explicitly during compression. We also reveal challenges if PLC is explicitly modeled. We extend an earlier solution that is limited to binary NAT models and is incomplete, to a solution that is applicable to multi-valued NAT models and is complete. We demonstrate the effectiveness of the solution experimentally for compressing general BN CPTs with PLCs.'
volume: 52
URL: http://proceedings.mlr.press/v52/xiang16.html
PDF: http://proceedings.mlr.press/v52/xiang16.pdf
edit: https://github.com/mlresearch/v52/edit/gh-pages/_posts/2016-08-15-xiang16.md
series: 'Proceedings of Machine Learning Research'
container-title: 'Proceedings of the Eighth International Conference on Probabilistic Graphical Models'
publisher: 'PMLR'
author:
- family: Xiang
given: Yang
- family: Jiang
given: Qian
editor:
- family: Antonucci
given: Alessandro
- family: Corani
given: Giorgio
- family: Campos}
given: Cassio Polpo
address: Lugano, Switzerland
page: 535-546
id: xiang16
issued:
date-parts:
- 2016
- 8
- 15
firstpage: 535
lastpage: 546
published: 2016-08-15 00:00:00 +0000