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We consider the problem of learning Bayesian network classifiers that maximize the marginover a set of classification variables. We find that this problem is harder for Bayesian networks than for undirected graphical models like maximum…

Machine Learning · Computer Science 2012-07-09 Yuhong Guo , Dana Wilkinson , Dale Schuurmans

Link prediction is a fundamental task in statistical network analysis. Recent advances have been made on learning flexible nonparametric Bayesian latent feature models for link prediction. In this paper, we present a max-margin learning…

Machine Learning · Computer Science 2016-02-25 Jun Zhu , Jiaming Song , Bei Chen

Recently, there has been much interest in finding globally optimal Bayesian network structures. These techniques were developed for generative scores and can not be directly extended to discriminative scores, as desired for classification.…

Machine Learning · Computer Science 2012-07-03 Robert Peharz , Franz Pernkopf

Max-margin methods for binary classification such as the support vector machine (SVM) have been extended to the structured prediction setting under the name of max-margin Markov networks ($M^3N$), or more generally structural SVMs.…

Machine Learning · Computer Science 2020-07-29 Alex Nowak-Vila , Francis Bach , Alessandro Rudi

Parameter estimation in Markov random fields (MRFs) is a difficult task, in which inference over the network is run in the inner loop of a gradient descent procedure. Replacing exact inference with approximate methods such as loopy belief…

Machine Learning · Computer Science 2012-06-18 Varun Ganapathi , David Vickrey , John Duchi , Daphne Koller

Maximum entropy principle (MEP) offers an effective and unbiased approach to inferring unknown probability distributions when faced with incomplete information, while neural networks provide the flexibility to learn complex distributions…

Machine Learning · Statistics 2024-12-04 Wuyue Yang , Liangrong Peng , Guojie Li , Liu Hong

We present a max-margin nonparametric latent feature model, which unites the ideas of max-margin learning and Bayesian nonparametrics to discover discriminative latent features for link prediction and automatically infer the unknown latent…

Machine Learning · Computer Science 2012-06-22 Jun Zhu

This paper studies a Markov network model for unbalanced data, aiming to solve the problems of classification bias and insufficient minority class recognition ability of traditional machine learning models in environments with uneven class…

Machine Learning · Computer Science 2025-02-06 Junliang Du , Shiyu Dou , Bohuan Yang , Jiacheng Hu , Tai An

This paper serves as a survey of recent advances in large margin training and its theoretical foundations, mostly for (nonlinear) deep neural networks (DNNs) that are probably the most prominent machine learning models for large-scale data…

Machine Learning · Computer Science 2021-06-22 Yiwen Guo , Changshui Zhang

Bayesian network models with latent variables are widely used in statistics and machine learning. In this paper we provide a complete algebraic characterization of Bayesian network models with latent variables when the observed variables…

Statistics Theory · Mathematics 2022-12-20 Robin J. Evans

Understanding how network function constrains neural connectivity is a central challenge in neuroscience. An influential approach is to train neural networks with gradient descent on cognitive tasks and characterize the resulting…

Neurons and Cognition · Quantitative Biology 2026-05-26 Ludwig Hruza , Srdjan Ostojic

In this paper, we propose a new max-margin based discriminative feature learning method. Specifically, we aim at learning a low-dimensional feature representation, so as to maximize the global margin of the data and make the samples from…

Machine Learning · Computer Science 2017-04-04 Changsheng Li , Qingshan Liu , Weishan Dong , Xin Zhang , Lin Yang

This article proposes a novel Bayesian classification framework for networks with labeled nodes. While literature on statistical modeling of network data typically involves analysis of a single network, the recent emergence of complex data…

Methodology · Statistics 2020-09-25 Sharmistha Guha , Abel Rodriguez

Maximum entropy (MAXENT) method has a large number of applications in theoretical and applied machine learning, since it provides a convenient non-parametric tool for estimating unknown probabilities. The method is a major contribution of…

Data Analysis, Statistics and Probability · Physics 2020-12-18 A. E. Allahverdyan , N. H. Martirosyan

In the study of economic networks, econometric approaches interpret the traditional Gravity Model specification as the expected link weight coming from a probability distribution whose functional form can be chosen arbitrarily, while…

Physics and Society · Physics 2024-05-15 Marzio Di Vece , Diego Garlaschelli , Tiziano Squartini

In recent years, pattern analysis plays an important role in data mining and recognition, and many variants have been proposed to handle complicated scenarios. In the literature, it has been quite familiar with high dimensionality of data…

Machine Learning · Computer Science 2018-11-09 Miao Cheng , Zunren Liu , Hongwei Zou , Ah Chung Tsoi

This paper deals with uncertainty quantification and out-of-distribution detection in deep learning using Bayesian and ensemble methods. It proposes a practical solution to the lack of prediction diversity observed recently for standard…

Machine Learning · Computer Science 2025-02-03 Antoine de Mathelin , François Deheeger , Mathilde Mougeot , Nicolas Vayatis

We propose a method to derive the stationary size distributions of a system, and the degree distributions of networks, using maximisation of the Gibbs-Shannon entropy. We apply this to a preferential attachment-type algorithm for systems of…

Physics and Society · Physics 2020-03-17 Cornelia Metzig , Caroline Colijn

Stochastic network models play a central role across a wide range of scientific disciplines, and questions of statistical inference arise naturally in this context. In this paper we investigate goodness-of-fit and two-sample testing…

Statistics Theory · Mathematics 2026-03-27 Subhro Ghosh , Rathindra Nath Karmakar , Samriddha Lahiry

We present a framework to address a class of sequential decision making problems. Our framework features learning the optimal control policy with robustness to noisy data, determining the unknown state and action parameters, and performing…

Machine Learning · Computer Science 2022-01-20 Amber Srivastava , Srinivasa M Salapaka
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