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We propose an online learning algorithm for a class of machine learning models under a separable stochastic approximation framework. The essence of our idea lies in the observation that certain parameters in the models are easier to…

Machine Learning · Computer Science 2023-05-23 Min Gan , Xiang-xiang Su , Guang-yong Chen , Jing Chen

We consider the learning of algorithmic tasks by mere observation of input-output pairs. Rather than studying this as a black-box discrete regression problem with no assumption whatsoever on the input-output mapping, we concentrate on tasks…

Machine Learning · Computer Science 2018-10-16 Alex Nowak-Vila , David Folqué , Joan Bruna

Most machine learning models for structured data encode the structural knowledge of a node by leveraging simple aggregation functions (in neural models, typically a weighted sum) of the information in the node's neighbourhood. Nevertheless,…

Machine Learning · Computer Science 2020-06-18 Daniele Castellana , Davide Bacciu

Many applications in speech, robotics, finance, and biology deal with sequential data, where ordering matters and recurrent structures are common. However, this structure cannot be easily captured by standard kernel functions. To model such…

Machine Learning · Computer Science 2017-10-06 Maruan Al-Shedivat , Andrew Gordon Wilson , Yunus Saatchi , Zhiting Hu , Eric P. Xing

We introduce a new approach to prediction in graphical models with latent-shift adaptation, i.e., where source and target environments differ in the distribution of an unobserved confounding latent variable. Previous work has shown that as…

Machine Learning · Statistics 2023-06-26 William I. Walker , Arthur Gretton , Maneesh Sahani

It has become increasingly common to collect high-dimensional binary response data; for example, with the emergence of new sampling techniques in ecology. In smaller dimensions, multivariate probit (MVP) models are routinely used for…

Methodology · Statistics 2022-10-26 Antik Chakraborty , Rihui Ou , David B. Dunson

Learning vector autoregressive models from multivariate time series is conventionally approached through least squares or maximum likelihood estimation. These methods typically assume a fully connected model which provides no direct insight…

Computation · Statistics 2021-09-24 Kimmo Suotsalo , Yingying Xu , Jukka Corander , Johan Pensar

Deep NLP models benefit from underlying structures in the data---e.g., parse trees---typically extracted using off-the-shelf parsers. Recent attempts to jointly learn the latent structure encounter a tradeoff: either make factorization…

Computation and Language · Computer Science 2018-09-05 Vlad Niculae , André F. T. Martins , Claire Cardie

We present an architecture which lets us train deep, directed generative models with many layers of latent variables. We include deterministic paths between all latent variables and the generated output, and provide a richer set of…

Machine Learning · Computer Science 2016-12-15 Philip Bachman

Despite the popularity of deep learning, structure learning for deep models remains a relatively under-explored area. In contrast, structure learning has been studied extensively for probabilistic graphical models (PGMs). In particular, an…

Machine Learning · Computer Science 2018-03-19 Zhourong Chen , Xiaopeng Li , Nevin L. Zhang

In this note we present a generative model of natural images consisting of a deep hierarchy of layers of latent random variables, each of which follows a new type of distribution that we call rectified Gaussian. These rectified Gaussian…

Machine Learning · Statistics 2016-03-01 Tim Salimans

We propose a novel probabilistic dimensionality reduction framework that can naturally integrate the generative model and the locality information of data. Based on this framework, we present a new model, which is able to learn a smooth…

Machine Learning · Statistics 2016-10-18 Li Wang

We introduce tree linear cascades, a class of linear structural equation models for which the error variables are uncorrelated but need not be Gaussian nor independent. We show that, in spite of this weak assumption, the tree structure of…

Methodology · Statistics 2022-02-16 Nicholas C. Landolfi , Sanjay Lall

This paper studies the distributed adaptiveestimation problems for stochastic large regression modelswith an infinite number of parameters. By constructing a re-cursive local cost function, we propose a novel distributedrecursive least…

Systems and Control · Electrical Eng. & Systems 2026-04-29 Die Gan , Siyu Xie , Zhixin Liu , Xuebo Zhang

We propose a general modeling and inference framework that composes probabilistic graphical models with deep learning methods and combines their respective strengths. Our model family augments graphical structure in latent variables with…

Machine Learning · Statistics 2017-07-10 Matthew J. Johnson , David Duvenaud , Alexander B. Wiltschko , Sandeep R. Datta , Ryan P. Adams

Gaussian Graphical Models (GGMs) or Gauss Markov random fields are widely used in many applications, and the trade-off between the modeling capacity and the efficiency of learning and inference has been an important research problem. In…

Machine Learning · Computer Science 2013-11-12 Ying Liu , Alan S. Willsky

In recent years, there is a growing interest in learning Bayesian networks with continuous variables. Learning the structure of such networks is a computationally expensive procedure, which limits most applications to parameter learning.…

Machine Learning · Computer Science 2012-07-19 Iftach Nachman , Gal Elidan , Nir Friedman

When using deep, multi-layered architectures to build generative models of data, it is difficult to train all layers at once. We propose a layer-wise training procedure admitting a performance guarantee compared to the global optimum. It is…

Neural and Evolutionary Computing · Computer Science 2013-02-19 Ludovic Arnold , Yann Ollivier

Tree-structured LSTM is promising way to consider long-distance interaction over hierarchies. However, there have been few research efforts on the hyperparameter tuning of the construction and traversal of tree-structured LSTM. To name a…

Machine Learning · Computer Science 2020-08-24 Ruo Ando , Yoshiyasu Takefuji

Bayesian neural networks (BNNs) have recently regained a significant amount of attention in the deep learning community due to the development of scalable approximate Bayesian inference techniques. There are several advantages of using a…

Machine Learning · Statistics 2023-05-02 Aliaksandr Hubin , Geir Storvik