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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…

概率论 · 数学 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…

最优化与控制 · 数学 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,…

计算机视觉与模式识别 · 计算机科学 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…

无序系统与神经网络 · 物理学 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…

计算机视觉与模式识别 · 计算机科学 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…

神经与进化计算 · 计算机科学 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…

数值分析 · 数学 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…

分布式、并行与集群计算 · 计算机科学 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…

信息论 · 计算机科学 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…

信息检索 · 计算机科学 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…

信息论 · 计算机科学 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…

数据结构与算法 · 计算机科学 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…

最优化与控制 · 数学 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…

信息检索 · 计算机科学 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…

数据结构与算法 · 计算机科学 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…

分布式、并行与集群计算 · 计算机科学 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…

最优化与控制 · 数学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

系统与控制 · 计算机科学 2012-08-16 Amir Noori