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In the last decade, exponential data growth supplied machine learning-based algorithms' capacity and enabled their usage in daily-life activities. Additionally, such an improvement is partially explained due to the advent of deep learning…

计算机视觉与模式识别 · 计算机科学 2022-12-01 Mateus Roder , Jurandy Almeida , Gustavo H. de Rosa , Leandro A. Passos , André L. D. Rossi , João P. Papa

Bayesian methods have shown success in deep learning applications. For example, in predictive tasks, Bayesian neural networks leverage Bayesian reasoning of model uncertainty to improve the reliability and uncertainty awareness of deep…

机器学习 · 计算机科学 2025-10-21 Wenlong Chen , Bolian Li , Ruqi Zhang , Yingzhen Li

Inference problems with conjectured statistical-computational gaps are ubiquitous throughout modern statistics, computer science and statistical physics. While there has been success evidencing these gaps from the failure of restricted…

计算复杂性 · 计算机科学 2020-06-30 Matthew Brennan , Guy Bresler

In the context of inference with expectation constraints, we propose an approach based on the "loopy belief propagation" algorithm LBP, as a surrogate to an exact Markov Random Field MRF modelling. A prior information composed of…

机器学习 · 计算机科学 2015-05-13 Cyril Furtlehner , Jean-Marc Lasgouttes , Anne Auger

We consider inference problems for a class of continuous state collective hidden Markov models, where the data is recorded in aggregate (collective) form generated by a large population of individuals following the same dynamics. We propose…

机器学习 · 统计学 2021-07-27 Rahul Singh , Yongxin Chen

We construct a novel class of stochastic blockmodels using Bayesian nonparametric mixtures. These model allows us to jointly estimate the structure of multiple networks and explicitly compare the community structures underlying them, while…

统计方法学 · 统计学 2016-06-17 Perla Reyes , Abel Rodriguez

Neural network surrogate models have emerged as a promising approach to model solution fields for a wide variety of boundary value problems encountered in physical modeling. Stochastic problems represent an area of particularly high…

机器学习 · 统计学 2026-05-18 Noah Wade , Kirubel Teferra

Statistical inference on graphs often proceeds via spectral methods involving low-dimensional embeddings of matrix-valued graph representations, such as the graph Laplacian or adjacency matrix. In this paper, we analyze the asymptotic…

统计理论 · 数学 2018-08-16 Joshua Cape , Minh Tang , Carey E. Priebe

Location-aware networks will introduce innovative services and applications for modern convenience, applied ocean sciences, and public safety. In this paper, we establish a hybrid method for model-based and data-driven inference. We…

机器学习 · 计算机科学 2021-05-28 Mingchao Liang , Florian Meyer

We study several bayesian inference problems for irreversible stochastic epidemic models on networks from a statistical physics viewpoint. We derive equations which allow to accurately compute the posterior distribution of the time…

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,…

网络与互联网体系结构 · 计算机科学 2010-08-03 Sundeep Rangan , Ritesh Madan

In modern applications, statisticians are faced with integrating heterogeneous data modalities relevant for an inference, prediction, or decision problem. In such circumstances, it is convenient to use a graphical model to represent the…

统计方法学 · 统计学 2017-08-30 Pierre E. Jacob , Lawrence M. Murray , Chris C. Holmes , Christian P. Robert

Across many domains of science, stochastic models are an essential tool to understand the mechanisms underlying empirically observed data. Models can be of different levels of detail and accuracy, with models of high-fidelity (i.e., high…

There has been great interest in recent years on statistical models for dynamic networks. In this paper, I propose a stochastic block transition model (SBTM) for dynamic networks that is inspired by the well-known stochastic block model…

社会与信息网络 · 计算机科学 2016-07-11 Kevin S. Xu

The generalized belief propagation (GBP), introduced by Yedidia et al., is an extension of the belief propagation (BP) algorithm, which is widely used in different problems involved in calculating exact or approximate marginals of…

机器学习 · 计算机科学 2016-05-09 Farzin Haddadpour , Mahdi Jafari Siavoshani , Morteza Noshad

Scene graph generation aims to interpret an input image by explicitly modelling the potential objects and their relationships, which is predominantly solved by the message passing neural network models in previous methods. Currently, such…

计算机视觉与模式识别 · 计算机科学 2021-12-13 Daqi Liu , Miroslaw Bober , Josef Kittler

An important part of problems in statistical physics and computer science can be expressed as the computation of marginal probabilities over a Markov Random Field. The belief propagation algorithm, which is an exact procedure to compute…

机器学习 · 计算机科学 2011-01-24 Victorin Martin , Jean-Marc Lasgouttes , Cyril Furtlehner

Imitation learning is a widely used approach for training agents to replicate expert behavior in complex decision-making tasks. However, existing methods often struggle with compounding errors and limited generalization, due to the inherent…

机器学习 · 计算机科学 2025-04-21 Haldun Balim , Yang Hu , Yuyang Zhang , Na Li

We revisit the elegant observation of T. Cover '65 which, perhaps, is not as well-known to the broader community as it should be. The first goal of the tutorial is to explain---through the prism of this elementary result---how to solve…

机器学习 · 计算机科学 2016-09-01 Alexander Rakhlin , Karthik Sridharan

Network-structured data becomes ubiquitous in daily life and is growing at a rapid pace. It presents great challenges to feature engineering due to the high non-linearity and sparsity of the data. The local and global structure of the…

机器学习 · 计算机科学 2025-01-31 Xin Sun , Zenghui Song , Yongbo Yu , Junyu Dong , Claudia Plant , Christian Boehm