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We propose a new family of message passing techniques for MAP estimation in graphical models which we call {\em Sequential Reweighted Message Passing} (SRMP). Special cases include well-known techniques such as {\em Min-Sum Diffusion} (MSD)…

Artificial Intelligence · Computer Science 2017-01-20 Vladimir Kolmogorov

We consider the linear programming relaxation of an energy minimization problem for Markov Random Fields. The dual objective of this problem can be treated as a concave and unconstrained, but non-smooth function. The idea of smoothing the…

Artificial Intelligence · Computer Science 2012-10-19 Bogdan Savchynskyy , Stefan Schmidt , Joerg Kappes , Christoph Schnoerr

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…

Computer Vision and Pattern Recognition · Computer Science 2024-10-24 Tongfan Guan , Chen Wang , Yun-Hui Liu

Maximum a posteriori (MAP) inference in discrete-valued Markov random fields is a fundamental problem in machine learning that involves identifying the most likely configuration of random variables given a distribution. Due to the…

Machine Learning · Computer Science 2020-07-03 Jonathan N. Lee , Aldo Pacchiano , Peter Bartlett , Michael I. Jordan

Semantic segmentation tasks can be well modeled by Markov Random Field (MRF). This paper addresses semantic segmentation by incorporating high-order relations and mixture of label contexts into MRF. Unlike previous works that optimized MRFs…

Computer Vision and Pattern Recognition · Computer Science 2017-08-09 Ziwei Liu , Xiaoxiao Li , Ping Luo , Chen Change Loy , Xiaoou Tang

We propose a new iterative optimization method for the {\bf Data-Fitting} (DF) problem in Machine Learning, e.g. Neural Network (NN) training. The approach relies on {\bf Graphical Model} (GM) representation of the DF problem, where…

Machine Learning · Computer Science 2021-02-17 Francesco Concetti , Michael Chertkov

Message passing algorithms, whose iterative nature captures well complicated interactions among interconnected variables in complex systems and extracts information from the fixed point of iterated messages, provide a powerful toolkit in…

Disordered Systems and Neural Networks · Physics 2022-02-28 Chun-Yan Zhao , Yan-Rong Fu , Jin-Hua Zhao

We consider the problem of energy-efficient point-to-point transmission of delay-sensitive data (e.g. multimedia data) over a fading channel. Existing research on this topic utilizes either physical-layer centric solutions, namely…

Machine Learning · Computer Science 2017-03-29 Nicholas Mastronarde , Mihaela van der Schaar

We present a novel feature matching algorithm that systematically utilizes the geometric properties of features such as position, scale, and orientation, in addition to the conventional descriptor vectors. In challenging scenes with the…

Computer Vision and Pattern Recognition · Computer Science 2017-01-23 Sehyung Lee , Jongwoo Lim , Il Hong Suh

Reconfigurable intelligent surfaces (RISs) represent a radical new technology that can shape the radio wave propagation in wireless communication systems and offers a great variety of possible performance and implementation gains. Motivated…

Information Theory · Computer Science 2021-09-06 Nemanja Stefan Perović , Le-Nam Tran , Marco Di Renzo , Mark F. Flanagan

Computing the matrix square root and its inverse in a differentiable manner is important in a variety of computer vision tasks. Previous methods either adopt the Singular Value Decomposition (SVD) to explicitly factorize the matrix or use…

Computer Vision and Pattern Recognition · Computer Science 2022-10-20 Yue Song , Nicu Sebe , Wei Wang

A large number of problems in computer vision can be modelled as energy minimization problems in a Markov Random Field (MRF) or Conditional Random Field (CRF) framework. Graph-cuts based $\alpha$-expansion is a standard move-making method…

Computer Vision and Pattern Recognition · Computer Science 2014-03-26 Vibhav Vineet , Jonathan Warrell , Philip H. S. Torr

We present new MCMC algorithms for computing the posterior distributions and expectations of the unknown variables in undirected graphical models with regular structure. For demonstration purposes, we focus on Markov Random Fields (MRFs).…

Computation · Statistics 2012-07-19 Firas Hamze , Nando de Freitas

Estimating probability distribution is one of the core issues in the NLP field. However, in both deep learning (DL) and pre-DL eras, unlike the vast applications of linear-chain CRF in sequence labeling tasks, very few works have applied…

Computation and Language · Computer Science 2020-08-11 Yu Zhang , Houquan Zhou , Zhenghua Li

Pair-wise Markov random fields (MRF) are considered for application to the development of low complexity, iterative MIMO detection. Specifically, we consider two types of MRF, namely, the fully-connected and ring-type. For the edge…

Information Theory · Computer Science 2010-11-23 Seokhyun Yoon , Jun Heo

Distributed-memory implementations of numerical optimization algorithm, such as stochastic gradient descent (SGD), require interprocessor communication at every iteration of the algorithm. On modern distributed-memory clusters where…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-14 Aditya Devarakonda , Ramakrishnan Kannan

The Iterative Markovian Fitting (IMF) procedure, which iteratively projects onto the space of Markov processes and the reciprocal class, successfully solves the Schr\"odinger Bridge (SB) problem. However, an efficient practical…

Belief Propagation (BP) is a message-passing algorithm for approximate inference over Probabilistic Graphical Models (PGMs), finding many applications such as computer vision, error-correcting codes, and protein-folding. While general, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-26 Mark Van der Merwe , Vinu Joseph , Ganesh Gopalakrishnan

As an enhanced version of massive machine-type communication in 5G, massive communication has emerged as one of the six usage scenarios anticipated for 6G, owing to its potential in industrial internet-of-things and smart metering. Driven…

Information Theory · Computer Science 2025-04-17 Yutao Chen , Wei Chen

Statistical machine learning has widespread application in various domains. These methods include probabilistic algorithms, such as Markov Chain Monte-Carlo (MCMC), which rely on generating random numbers from probability distributions.…

Hardware Architecture · Computer Science 2021-08-03 Ramin Bashizade , Xiangyu Zhang , Sayan Mukherjee , Alvin R. Lebeck
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