Papers › Transformation Autoregressive Networks

Transformation Autoregressive Networks

30 Jan 2018ICML 2018 7arXiv:1801.09819archive 2025-07-28

Junier B. Oliva, Avinava Dubey, Manzil Zaheer, Barnabás Póczos, Ruslan Salakhutdinov, Eric P. Xing, Jeff Schneider

The fundamental task of general density estimation p(x) has been of keen interest to machine learning. In this work, we attempt to systematically characterize methods for density estimation. Broadly speaking, most of the existing methods can be categorized into either using: \textit{a}) autoregressive models to estimate the conditional factors of the chain rule, p(xᵢ | xᵢ₋₁, …); or \textit{b}) non-linear transformations of variables of a simple base distribution. Based on the study of the characteristics of these categories, we propose multiple novel methods for each category. For example we proposed RNN based transformations to model non-Markovian dependencies. Further, through a comprehensive study over both real world and synthetic data, we show for that jointly leveraging transformations of variables and autoregressive conditional models, results in a considerable improvement in performance. We illustrate the use of our models in outlier detection and image modeling. Finally we introduce a novel data driven framework for learning a family of distributions.

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Density EstimationOutlier Detection

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TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Density Estimation BSDS300 TAN Log-likelihood 159.8 #1 of 5 Archive leaderboard report

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