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This paper seeks an efficient algorithm for stochastic precoding to maximize the long-term average weighted sum rates throughout a multiple-input multiple-output (MIMO) network. Unlike many existing works that assume a particular…

Information Theory · Computer Science 2026-03-10 Wenyu Wang , Kaiming Shen

In recent years, the Hamiltonian Monte Carlo (HMC) algorithm has been found to work more efficiently compared to other popular Markov Chain Monte Carlo (MCMC) methods (such as random walk Metropolis-Hastings) in generating samples from a…

Computation · Statistics 2014-02-18 Andrew L. Beam , Sujit K. Ghosh , Jon Doyle

Bayesian inference of Gibbs random fields (GRFs) is often referred to as a doubly intractable problem, since the likelihood function is intractable. The exploration of the posterior distribution of such models is typically carried out with…

Computation · Statistics 2017-10-16 Aidan Boland , Nial Friel , Florian Maire

The Laplacian-constrained Gaussian Markov Random Field (LGMRF) is a common multivariate statistical model for learning a weighted sparse dependency graph from given data. This graph learning problem can be formulated as a maximum likelihood…

Machine Learning · Computer Science 2024-04-15 Yakov Medvedovsky , Eran Treister , Tirza Routtenberg

We construct a new framework for accelerating Markov chain Monte Carlo in posterior sampling problems where standard methods are limited by the computational cost of the likelihood, or of numerical models embedded therein. Our approach…

Methodology · Statistics 2017-01-06 Patrick R. Conrad , Youssef M. Marzouk , Natesh S. Pillai , Aaron Smith

This article presents a short and concise description of stochastic approximation algorithms in reinforcement learning of Markov decision processes. The algorithms can also be used as a suboptimal method for partially observed Markov…

Optimization and Control · Mathematics 2015-12-25 Vikram Krishnamurthy

Randomized parallel algorithms for many fundamental problems achieve optimal linear work in expectation, but upgrading this guarantee to hold with high probability (whp) remains a recurring theoretical challenge. In this paper, we address…

Data Structures and Algorithms · Computer Science 2026-03-03 Chase Hutton , Adam Melrod

This paper presents a sampling-based motion planning framework that leverages the geometry of obstacles in a workspace as well as prior experiences from motion planning problems. Previous studies have demonstrated the benefits of utilizing…

Robotics · Computer Science 2023-06-19 Keita Kobashi , Changhao Wang , Yu Zhao , Hsien-Chung Lin , Masayoshi Tomizuka

We present a multi-level graph partitioning algorithm using novel local improvement algorithms and global search strategies transferred from the multi-grid community. Local improvement algorithms are based max-flow min-cut computations and…

Data Structures and Algorithms · Computer Science 2011-04-05 Peter Sanders , Christian Schulz

Best rank-one approximation is one of the most fundamental tasks in tensor computation. In order to fully exploit modern multi-core parallel computers, it is necessary to develop decoupling algorithms for computing the best rank-one…

Numerical Analysis · Mathematics 2024-03-05 Chuanfu Xiao , Zeyu Li , Chao Yang

In this paper, we address the challenge of Markov Chain Monte Carlo (MCMC) algorithms within the approximate Bayesian Computation (ABC) framework, which often get trapped in local optima due to their inherent local exploration mechanism. We…

Computation · Statistics 2025-12-16 Xuefei Cao , Shijia Wang , Yongdao Zhou

Hamiltonian Monte Carlo (HMC) is a state-of-the-art Markov chain Monte Carlo sampling algorithm for drawing samples from smooth probability densities over continuous spaces. We study the variant most widely used in practice, Metropolized…

Machine Learning · Statistics 2021-01-12 Yuansi Chen , Raaz Dwivedi , Martin J. Wainwright , Bin Yu

This paper presents a novel tightly-coupled monocular visual-inertial Simultaneous Localization and Mapping algorithm, which provides accurate and robust localization within the globally consistent map in real time on a standard CPU. This…

Robotics · Computer Science 2021-02-24 Meixiang Quan , Songhao Piao , Minglang Tan , Shi-Sheng Huang

We develop an Evolutionary Markov Chain Monte Carlo (EMCMC) algorithm for sampling spatial partitions that lie within a large and complex spatial state space. Our algorithm combines the advantages of evolutionary algorithms (EAs) as…

Computation · Statistics 2021-01-19 Wendy K. Tam Cho , Yan Y. Liu

This paper presents the design and analysis of parallel approximation algorithms for facility-location problems, including $\NC$ and $\RNC$ algorithms for (metric) facility location, $k$-center, $k$-median, and $k$-means. These problems…

Data Structures and Algorithms · Computer Science 2010-06-11 Guy E. Blelloch , Kanat Tangwongsan

We propose HAMSI (Hessian Approximated Multiple Subsets Iteration), which is a provably convergent, second order incremental algorithm for solving large-scale partially separable optimization problems. The algorithm is based on a local…

Motivated by collaborative reinforcement learning (RL) and optimization with time-correlated data, we study a generic federated stochastic approximation problem involving $M$ agents, where each agent is characterized by an agent-specific…

Machine Learning · Computer Science 2025-04-17 Feng Zhu , Aritra Mitra , Robert W. Heath

Exact approximations of Markov chain Monte Carlo (MCMC) algorithms are a general emerging class of sampling algorithms. One of the main ideas behind exact approximations consists of replacing intractable quantities required to run standard…

Computation · Statistics 2015-10-30 Christophe Andrieu , Matti Vihola

Bayesian max-margin models have shown superiority in various practical applications, such as text categorization, collaborative prediction, social network link prediction and crowdsourcing, and they conjoin the flexibility of Bayesian…

Machine Learning · Statistics 2016-10-19 Wenbo Hu , Jun Zhu , Bo Zhang

Dense disparities among multiple views is essential for estimating the 3D architecture of a scene based on the geometrical relationship among the scene and the views or cameras. Scenes with larger extents of heterogeneous textures,…

Computer Vision and Pattern Recognition · Computer Science 2023-11-02 Hanieh Shabanian , Madhusudhanan Balasubramanian
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