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We propose a probabilistic graphical model realizing a minimal encoding of real variables dependencies based on possibly incomplete observation and an empirical cumulative distribution function per variable. The target application is a…

Probability · Mathematics 2015-08-28 Victorin Martin , Jean-Marc Lasgouttes , Cyril Furtlehner

A significant issue in training deep neural networks to solve supervised learning tasks is the need for large numbers of labelled datapoints. The goal of semi-supervised learning is to leverage ubiquitous unlabelled data, together with…

Computer Vision and Pattern Recognition · Computer Science 2019-05-29 Chengxu Zhuang , Xuehao Ding , Divyanshu Murli , Daniel Yamins

Expectation propagation is a general prescription for approximation of integrals in statistical inference problems. Its literature is mainly concerned with Bayesian inference scenarios. However, expectation propagation can also be used to…

Methodology · Statistics 2018-05-23 P. Hall , I. M. Johnstone , J. T. Ormerod , M. P. Wand , J. C. F. Yu

This paper considers a distributed adaptive optimization problem, where all agents only have access to their local cost functions with a common unknown parameter, whereas they mean to collaboratively estimate the true parameter and find the…

Optimization and Control · Mathematics 2025-09-03 Yaqun Yang , Jinlong Lei , Guanghui Wen , Yiguang Hong

Machine learning based approaches are being increasingly used for designing decoders for next generation communication systems. One widely used framework is neural belief propagation (NBP), which unfolds the belief propagation (BP)…

Information Theory · Computer Science 2024-04-23 Sudarshan Adiga , Xin Xiao , Ravi Tandon , Bane Vasic , Tamal Bose

We consider a broad class of interference coordination and resource allocation problems for wireless links where the goal is to maximize the sum of functions of individual link rates. Such problems arise in the context of, for example,…

Networking and Internet Architecture · Computer Science 2010-08-03 Sundeep Rangan , Ritesh Madan

A Monte-Carlo algorithm for discrete statistical models that combines the full power of the Belief Propagation algorithm with the advantages of a detailed-balanced heat bath approach is presented. A sub-tree inside the factor graph is first…

Statistical Mechanics · Physics 2014-07-02 Aurélien Decelle , Florent Krzakala

Implicit Neural Representations (INRs) employ neural networks to represent continuous functions by mapping coordinates to the corresponding values of the target function, with applications e.g., inverse graphics. However, INRs face a…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Mingze Ma , Qingtian Zhu , Yifan Zhan , Zhengwei Yin , Hongjun Wang , Yinqiang Zheng

In this note we study an iterative belief propagation (IBP) algorithm and demonstrate it's ability to solve sparse combinatorial optimization problems. Similar to simulated annealing (SA), our IBP algorithm attempts to sample from the…

Optimization and Control · Mathematics 2024-11-04 Sam Reifenstein , Timothée Leleu

Robotic systems must be able to quickly and robustly make decisions when operating in uncertain and dynamic environments. While Reinforcement Learning (RL) can be used to compute optimal policies with little prior knowledge about the…

Robotics · Computer Science 2016-09-13 Yunpeng Pan , Xinyan Yan , Evangelos Theodorou , Byron Boots

In Model-based Reinforcement Learning (MBRL), model learning is critical since an inaccurate model can bias policy learning via generating misleading samples. However, learning an accurate model can be difficult since the policy is…

Machine Learning · Computer Science 2023-01-23 Zifan Wu , Chao Yu , Chen Chen , Jianye Hao , Hankz Hankui Zhuo

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

Three steps in the development of the maximum likelihood (ML) method are presented. At first, the application of the ML method and Fisher information notion in the model selection analysis is described (Chapter 1). The fundamentals of…

General Physics · Physics 2012-11-16 Jacek Syska

The problem of learning a computational model from examples has been receiving growing attention. For the particularly challenging problem of learning models of distributed systems, existing results are restricted to models with a fixed…

Formal Languages and Automata Theory · Computer Science 2023-12-13 Dana Fisman , Noa Izsak , Swen Jacobs

Recently, Masked Diffusion Models (MDMs) have shown promising potential across vision, language, and cross-modal generation. However, a notable discrepancy exists between their training and inference procedures. In particular, MDM inference…

Machine Learning · Computer Science 2025-12-30 Renping Zhou , Zanlin Ni , Tianyi Chen , Zeyu Liu , Yang Yue , Yulin Wang , Yuxuan Wang , Jingshu Liu , Gao Huang

Maximum entropy estimation is of broad interest for inferring properties of systems across many different disciplines. In this work, we significantly extend a technique we previously introduced for estimating the maximum entropy of a set of…

Data Analysis, Statistics and Probability · Physics 2016-01-05 Elliot A. Martin , Jaroslav Hlinka , Alexander Meinke , Filip Děchtěrenko , Jörn Davidsen

How the brain performs credit assignment is a fundamental unsolved problem in neuroscience. Many `biologically plausible' algorithms have been proposed, which compute gradients that approximate those computed by backpropagation (BP), and…

Machine Learning · Computer Science 2022-08-05 Beren Millidge , Yuhang Song , Tommaso Salvatori , Thomas Lukasiewicz , Rafal Bogacz

Systems of interacting continuous-time Markov chains are a powerful model class, but inference is typically intractable in high dimensional settings. Auxiliary information, such as noisy observations, is typically only available at discrete…

Machine Learning · Statistics 2026-04-21 Giosue Migliorini , Padhraic Smyth

We consider the problem of inferring the input and hidden variables of a stochastic multi-layer neural network from an observation of the output. The hidden variables in each layer are represented as matrices. This problem applies to signal…

Machine Learning · Computer Science 2020-01-28 Parthe Pandit , Mojtaba Sahraee-Ardakan , Sundeep Rangan , Philip Schniter , Alyson K. Fletcher

Unsupervised representation learning has succeeded with excellent results in many applications. It is an especially powerful tool to learn a good representation of environments with partial or noisy observations. In partially observable…

Machine Learning · Computer Science 2019-08-20 Zhaohan Daniel Guo , Mohammad Gheshlaghi Azar , Bilal Piot , Bernardo A. Pires , Rémi Munos
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