Deep learning with differential Gaussian process flows

Pashupati Hegde, Markus Heinonen, Harri Lähdesmäki, Samuel Kaski
Proceedings of the Twenty-Second International Conference on Artificial Intelligence and Statistics, PMLR 89:1812-1821, 2019.

Abstract

We propose a novel deep learning paradigm of differential flows that learn a stochastic differential equation transformations of inputs prior to a standard classification or regression function. The key property of differential Gaussian processes is the warping of inputs through infinitely deep, but infinitesimal, differential fields, that generalise discrete layers into a dynamical system. We demonstrate excellent results as compared to deep Gaussian processes and Bayesian neural networks.

Cite this Paper

BibTeX
@InProceedings{pmlr-v89-hegde19a, title = {Deep learning with differential Gaussian process flows}, author = {Hegde, Pashupati and Heinonen, Markus and L\"ahdesm\"aki, Harri and Kaski, Samuel}, booktitle = {Proceedings of the Twenty-Second International Conference on Artificial Intelligence and Statistics}, pages = {1812--1821}, year = {2019}, editor = {Chaudhuri, Kamalika and Sugiyama, Masashi}, volume = {89}, series = {Proceedings of Machine Learning Research}, month = {16--18 Apr}, publisher = {PMLR}, pdf = {http://proceedings.mlr.press/v89/hegde19a/hegde19a.pdf}, url = {https://proceedings.mlr.press/v89/hegde19a.html}, abstract = {We propose a novel deep learning paradigm of differential flows that learn a stochastic differential equation transformations of inputs prior to a standard classification or regression function. The key property of differential Gaussian processes is the warping of inputs through infinitely deep, but infinitesimal, differential fields, that generalise discrete layers into a dynamical system. We demonstrate excellent results as compared to deep Gaussian processes and Bayesian neural networks.} }
Endnote
%0 Conference Paper %T Deep learning with differential Gaussian process flows %A Pashupati Hegde %A Markus Heinonen %A Harri Lähdesmäki %A Samuel Kaski %B Proceedings of the Twenty-Second International Conference on Artificial Intelligence and Statistics %C Proceedings of Machine Learning Research %D 2019 %E Kamalika Chaudhuri %E Masashi Sugiyama %F pmlr-v89-hegde19a %I PMLR %P 1812--1821 %U https://proceedings.mlr.press/v89/hegde19a.html %V 89 %X We propose a novel deep learning paradigm of differential flows that learn a stochastic differential equation transformations of inputs prior to a standard classification or regression function. The key property of differential Gaussian processes is the warping of inputs through infinitely deep, but infinitesimal, differential fields, that generalise discrete layers into a dynamical system. We demonstrate excellent results as compared to deep Gaussian processes and Bayesian neural networks.
APA
Hegde, P., Heinonen, M., Lähdesmäki, H. & Kaski, S.. (2019). Deep learning with differential Gaussian process flows. Proceedings of the Twenty-Second International Conference on Artificial Intelligence and Statistics, in Proceedings of Machine Learning Research 89:1812-1821 Available from https://proceedings.mlr.press/v89/hegde19a.html.

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