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We present an information-based uncertainty quantification method for general Markov Random Fields. Markov Random Fields (MRF) are structured, probabilistic graphical models over undirected graphs, and provide a fundamental unifying…

机器学习 · 统计学 2021-07-20 Panagiota Birmpa , Markos A. Katsoulakis

We propose a simple and efficient algorithm for learning sparse invariant representations from unlabeled data with fast inference. When trained on short movies sequences, the learned features are selective to a range of orientations and…

计算机视觉与模式识别 · 计算机科学 2011-05-27 Karol Gregor , Yann LeCun

Consider a random vector with finite second moments. If its precision matrix is an M-matrix, then all partial correlations are non-negative. If that random vector is additionally Gaussian, the corresponding Markov random field (GMRF) is…

统计理论 · 数学 2014-04-29 Martin Slawski , Matthias Hein

We introduce Variational State-Space Filters (VSSF), a new method for unsupervised learning, identification, and filtering of latent Markov state space models from raw pixels. We present a theoretically sound framework for latent state…

机器学习 · 计算机科学 2022-03-22 Daniel Pfrommer , Nikolai Matni

Many problems in real-world applications involve predicting several random variables which are statistically related. Markov random fields (MRFs) are a great mathematical tool to encode such relationships. The goal of this paper is to…

机器学习 · 计算机科学 2015-04-29 Liang-Chieh Chen , Alexander G. Schwing , Alan L. Yuille , Raquel Urtasun

Stereo matching is a core task for many computer vision and robotics applications. Despite their dominance in traditional stereo methods, the hand-crafted Markov Random Field (MRF) models lack sufficient modeling accuracy compared to…

计算机视觉与模式识别 · 计算机科学 2024-10-24 Tongfan Guan , Chen Wang , Yun-Hui Liu

Metric learning seeks to embed images of objects suchthat class-defined relations are captured by the embeddingspace. However, variability in images is not just due to different depicted object classes, but also depends on other latent…

计算机视觉与模式识别 · 计算机科学 2019-09-26 Karsten Roth , Biagio Brattoli , Björn Ommer

We study learning Censor Markov Random Fields (abbreviated CMRFs). These are Markov Random Fields where some of the nodes are censored (not observed). We present an algorithm for learning high-temperature CMRFs within o(n) transportation…

机器学习 · 计算机科学 2021-01-18 Ankur Moitra , Elchanan Mossel , Colin Sandon

We study the problem of learning graphical models with latent variables. We give the first algorithm for learning locally consistent (ferromagnetic or antiferromagnetic) Restricted Boltzmann Machines (or RBMs) with {\em arbitrary} external…

机器学习 · 计算机科学 2019-06-18 Surbhi Goel

In this paper, we are interested in optimal decisions in a partially observable Markov universe. Our viewpoint departs from the dynamic programming viewpoint: we are directly approximating an optimal strategic tree depending on the…

综合数学 · 数学 2007-05-23 Frederic Dambreville

In this paper we present a novel slanted-plane MRF model which reasons jointly about occlusion boundaries as well as depth. We formulate the problem as the one of inference in a hybrid MRF composed of both continuous (i.e., slanted 3D…

计算机视觉与模式识别 · 计算机科学 2012-04-09 Koichiro Yamaguchi , Tamir Hazan , David McAllester , Raquel Urtasun

As a paradigm for sequential decision making in unknown environments, reinforcement learning (RL) has received a flurry of attention in recent years. However, the explosion of model complexity in emerging applications and the presence of…

机器学习 · 统计学 2025-07-22 Yuejie Chi , Yuxin Chen , Yuting Wei

We study the $L_1$-regularized maximum likelihood estimator/estimation (MLE) problem for discrete Markov random fields (MRFs), where efficient and scalable learning requires both sparse regularization and approximate inference. To address…

机器学习 · 计算机科学 2020-05-14 Sinong Geng , Zhaobin Kuang , Jie Liu , Stephen Wright , David Page

We introduce a new embarrassingly parallel parameter learning algorithm for Markov random fields with untied parameters which is efficient for a large class of practical models. Our algorithm parallelizes naturally over cliques and, for…

机器学习 · 统计学 2014-02-06 Yariv Dror Mizrahi , Misha Denil , Nando de Freitas

Many machine learning methods operate by inverting a neural network at inference time, which has become a popular technique for solving inverse problems in computer vision, robotics, and graphics. However, these methods often involve…

计算机视觉与模式识别 · 计算机科学 2022-06-22 Ruoshi Liu , Chengzhi Mao , Purva Tendulkar , Hao Wang , Carl Vondrick

We investigate a learning decision support system for vehicle routing, where the routing engine learns implicit preferences that human planners have when manually creating route plans (or routings). The goal is to use these learned…

人工智能 · 计算机科学 2021-01-12 Rocsildes Canoy , Víctor Bucarey , Jayanta Mandi , Tias Guns

Incremental methods for structure learning of pairwise Markov random fields (MRFs), such as grafting, improve scalability by avoiding inference over the entire feature space in each optimization step. Instead, inference is performed over an…

机器学习 · 计算机科学 2018-05-22 Walid Chaabene , Bert Huang

NeRF provides unparalleled fidelity of novel view synthesis: rendering a 3D scene from an arbitrary viewpoint. NeRF requires training on a large number of views that fully cover a scene, which limits its applicability. While these issues…

Nearly all real world tasks are inherently partially observable, necessitating the use of memory in Reinforcement Learning (RL). Most model-free approaches summarize the trajectory into a latent Markov state using memory models borrowed…

机器学习 · 计算机科学 2023-10-09 Steven Morad , Ryan Kortvelesy , Stephan Liwicki , Amanda Prorok

We propose to learn deep undirected graphical models (i.e., MRFs) with a non-ELBO objective for which we can calculate exact gradients. In particular, we optimize a saddle-point objective deriving from the Bethe free energy approximation to…

机器学习 · 计算机科学 2019-11-19 Sam Wiseman , Yoon Kim