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Computational optimal transport (OT) has recently emerged as a powerful framework with applications in various fields. In this paper we focus on a relaxation of the original OT problem, the entropic OT problem, which allows to implement…

Probability · Mathematics 2025-10-06 Giacomo Greco , Maxence Noble , Giovanni Conforti , Alain Durmus

The Halpern algorithm is a powerful fixed point approximation method for finding the closest point in the fixed point set of a nonexpansive mapping to the initial point. However, in practice, it is not necessarily true that this algorithm…

Optimization and Control · Mathematics 2026-04-24 Hideaki Iiduka

The homography matrix is a key component in various vision-based robotic tasks. Traditionally, homography estimation algorithms are classified into feature- or intensity-based. The main advantages of the latter are their versatility,…

Computer Vision and Pattern Recognition · Computer Science 2022-03-09 Lucas Nogueira , Ely C. de Paiva , Geraldo Silvera

Optimization plays a significant role in many areas of science and technology. Most of the industrial optimization problems have inordinately complex structures that render finding their global minima a daunting task. Therefore, designing…

Disordered Systems and Neural Networks · Physics 2021-09-09 Amin Barzegar , Anuj Kankani , Salvatore Mandrà , Helmut G. Katzgraber

For tackling the task of 2D human pose estimation, the great majority of the recent methods regard this task as a heatmap estimation problem, and optimize the heatmap prediction using the Gaussian-smoothed heatmap as the optimization…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Haoxuan Qu , Li Xu , Yujun Cai , Lin Geng Foo , Jun Liu

Extensive research has been conducted, over recent years, on various ways of enhancing heuristic search for combinatorial optimization problems with machine learning algorithms. In this study, we investigate the use of predictions from…

Neural and Evolutionary Computing · Computer Science 2022-10-24 Ítalo Santana , Andrea Lodi , Thibaut Vidal

The soft SVD is a robust matrix decomposition algorithm and a key component of matrix completion methods. However, computing the soft SVD for large sparse matrices is often impractical using conventional numerical methods for the SVD due to…

Numerical Analysis · Mathematics 2021-04-06 Mahendra Panagoda , Tyrus Berry , Harbir Antil

A distributed algorithm performs local computations on pieces of input and communicates the results through given communication links. When processing a massive graph in a distributed algorithm, local outputs must be configured as a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-06 Fan Chung , Olivia Simpson

Distributed average consensus is the main mechanism in algorithms for decentralized computation. In distributed average consensus algorithm each node has an initial state, and the goal is to compute the average of these initial states in…

Information Theory · Computer Science 2012-01-24 Saber Jafarizadeh , Abbas Jamalipour

The PageRank algorithm enables to rank the nodes of a network through a specific eigenvector of the Google matrix, using a damping parameter $\alpha \in ]0,1[$. Using extensive numerical simulations of large web networks, with a special…

Information Retrieval · Computer Science 2011-11-04 K. M. Frahm , B. Georgeot , D. L. Shepelyansky

Let $N$ local decision makers in a sensor network communicate with their neighbors to reach a decision \emph{consensus}. Communication is local, among neighboring sensors only, through noiseless or noisy links. We study the design of the…

Information Theory · Computer Science 2007-07-13 Soummya Kar , Saeed Aldosari , José M. F. Moura

We present an algorithm for the maximum matching problem in dynamic (insertion-deletions) streams with *asymptotically optimal* space complexity: for any $n$-vertex graph, our algorithm with high probability outputs an $\alpha$-approximate…

Data Structures and Algorithms · Computer Science 2022-02-01 Sepehr Assadi , Vihan Shah

This paper proposes a novel CTA (Combine-Then-Adapt)-based decentralized algorithm for solving convex composite optimization problems over undirected and connected networks. The local loss function in these problems contains both smooth and…

Optimization and Control · Mathematics 2023-03-07 Luyao Guo , Xinli Shi , Jinde Cao , Zihao Wang

The widespread use of the internet has led to an overwhelming amount of data, which has resulted in the problem of information overload. Recommender systems have emerged as a solution to this problem by providing personalized…

Information Retrieval · Computer Science 2024-08-15 Hui Fang , Xu Feng , Lu Qin , Zhu Sun

We introduce a fully online model of maximum cardinality matching in which all vertices arrive online. On the arrival of a vertex, its incident edges to previously-arrived vertices are revealed. Each vertex has a deadline that is after all…

Data Structures and Algorithms · Computer Science 2018-02-13 Zhiyi Huang , Ning Kang , Zhihao Gavin Tang , Xiaowei Wu , Yuhao Zhang , Xue Zhu

Carefully balancing load in distributed stream processing systems has a fundamental impact on execution latency and throughput. Load balancing is challenging because real-world workloads are skewed: some tuples in the stream are associated…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-28 Muhammad Anis Uddin Nasir , Gianmarco De Francisci Morales , Nicolas Kourtellis , Marco Serafini

This paper considers the decentralized consensus optimization problem defined over a network where each node holds a second-order differentiable local objective function. Our goal is to minimize the summation of local objective functions…

Optimization and Control · Mathematics 2020-08-25 Jiaojiao Zhang , Qing Ling , Anthony Man-Cho So

Temperature is a widely used hyperparameter in various tasks involving neural networks, such as classification or metric learning, whose choice can have a direct impact on the model performance. Most of existing works select its value using…

Machine Learning · Computer Science 2022-10-19 Benjamin Chamand , Olivier Risser-Maroix , Camille Kurtz , Philippe Joly , Nicolas Loménie

Deep learning methods have achieved excellent performance in pose estimation, but the lack of robustness causes the keypoints to change drastically between similar images. In view of this problem, a stable heatmap regression method is…

Computer Vision and Pattern Recognition · Computer Science 2021-05-11 Yumeng Zhang , Li Chen , Yufeng Liu , Xiaoyan Guo , Wen Zheng , Junhai Yong

This paper introduces some tools from graph theory and distributed consensus algorithms to construct an optimal, yet robust, hierarchical information sharing structure for large-scale decision making and control problems. The proposed…

Systems and Control · Computer Science 2012-08-16 Amir Noori
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