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The restricted Boltzmann machine is a network of stochastic units with undirected interactions between pairs of visible and hidden units. This model was popularized as a building block of deep learning architectures and has continued to…

机器学习 · 计算机科学 2018-06-20 Guido Montufar

Low-rank matrix approximation is one of the central concepts in machine learning, with applications in dimension reduction, de-noising, multivariate statistical methodology, and many more. A recent extension to LRMA is called low-rank…

机器学习 · 统计学 2021-09-24 Elena Tuzhilina , Trevor Hastie

As a fundamental problem in pattern recognition, graph matching has applications in a variety of fields, from computer vision to computational biology. In graph matching, patterns are modeled as graphs and pattern recognition amounts to…

计算机视觉与模式识别 · 计算机科学 2008-06-19 Tiberio S. Caetano , Julian J. McAuley , Li Cheng , Quoc V. Le , Alex J. Smola

Networked data, in which every training example involves two objects and may share some common objects with others, is used in many machine learning tasks such as learning to rank and link prediction. A challenge of learning from networked…

机器学习 · 计算机科学 2017-11-23 Yuanhong Wang , Yuyi Wang , Xingwu Liu , Juhua Pu

We introduce a variation of the scheduling with precedence constraints problem that has applications to molecular folding and production management. We are given a bipartite graph $H=(B,S)$. Vertices in $B$ are thought of as goods or…

离散数学 · 计算机科学 2016-10-04 Akbar Rafiey , Jeff Kinne , Ján Manuch , Arash Rafiey

The network alignment problem asks for the best correspondence between two given graphs, so that the largest possible number of edges are matched. This problem appears in many scientific problems (like the study of protein-protein…

统计计算 · 统计学 2017-07-18 Efe Onaran , Soledad Villar

This paper considers a distributed adaptive optimization problem, where all agents only have access to their local cost functions with a common unknown parameter, whereas they mean to collaboratively estimate the true parameter and find the…

最优化与控制 · 数学 2025-09-03 Yaqun Yang , Jinlong Lei , Guanghui Wen , Yiguang Hong

Many important multiple-objective decision problems can be cast within the framework of ranking under constraints and solved via a weighted bipartite matching linear program. Some of these optimization problems, such as personalized content…

信息检索 · 计算机科学 2022-02-16 Yegor Tkachenko , Wassim Dhaouadi , Kamel Jedidi

Many scenarios where agents with restrictions compete for resources can be cast as maximum matching problems on bipartite graphs. Our focus is on resource allocation problems where agents may have restrictions that make them incompatible…

人工智能 · 计算机科学 2022-09-13 Yohai Trabelsi , Abhijin Adiga , Sarit Kraus , S. S. Ravi

We consider the maximum bipartite matching problem in stochastic settings, namely the query-commit and price-of-information models. In the query-commit model, an edge e independently exists with probability $p_e$. We can query whether an…

数据结构与算法 · 计算机科学 2019-10-15 Buddhima Gamlath , Sagar Kale , Ola Svensson

We study the problem of multi-robot active mapping, which aims for complete scene map construction in minimum time steps. The key to this problem lies in the goal position estimation to enable more efficient robot movements. Previous…

计算机视觉与模式识别 · 计算机科学 2022-04-04 Kai Ye , Siyan Dong , Qingnan Fan , He Wang , Li Yi , Fei Xia , Jue Wang , Baoquan Chen

Conditional restricted Boltzmann machines are undirected stochastic neural networks with a layer of input and output units connected bipartitely to a layer of hidden units. These networks define models of conditional probability…

神经与进化计算 · 计算机科学 2015-03-13 Guido Montufar , Nihat Ay , Keyan Ghazi-Zahedi

We consider the problem of finding edges of a hidden weighted graph using a certain type of queries. Let $G$ be a weighted graph with $n$ vertices. In the most general setting, the $n$ vertices are known and no other information about $G$…

组合数学 · 数学 2012-01-19 Jeong Han Kim

In the Weighted Triangle-Free 2-Matching problem (WTF2M), we are given an undirected edge-weighted graph. Our goal is to compute a maximum-weight subgraph that is a 2-matching (i.e., no node has degree more than $2$) and triangle-free…

数据结构与算法 · 计算机科学 2026-03-11 Miguel Bosch-Calvo , Fabrizio Grandoni , Yusuke Kobayashi , Takashi Noguchi

We set up Restricted Boltzmann Machines (RBM) to reproduce the Long Range Ising (LRI) models of the Ohmic type in one dimension. The RBM parameters are tuned by using the standard machine learning procedure with an additional method of…

统计力学 · 物理学 2017-01-03 Ken-Ichi Aoki , Tamao Kobayashi

Graph alignment aims at finding the vertex correspondence between two correlated graphs, a task that frequently occurs in graph mining applications such as social network analysis. Attributed graph alignment is a variant of graph alignment,…

数据结构与算法 · 计算机科学 2024-03-13 Ziao Wang , Ning Zhang , Weina Wang , Lele Wang

Let G=(V,E) be a graph with f:V\to Z_+ a function assigning degree bounds to vertices. We present the first efficient algebraic algorithm to find an f-factor. The time is \tilde{O}(f(V)^{\omega}). More generally for graphs with integral…

数据结构与算法 · 计算机科学 2013-04-26 Harold N. Gabow , Piotr Sankowski

This work addresses the problem of multi-robot coordination under unknown robot transition models, ensuring that tasks specified by Time Window Temporal Logic are satisfied with user-defined probability thresholds. We present a bi-level…

机器人学 · 计算机科学 2025-02-17 Xiaoshan Lin , Roberto Tron

We investigate the thermodynamic properties of a Restricted Boltzmann Machine (RBM), a simple energy-based generative model used in the context of unsupervised learning. Assuming the information content of this model to be mainly reflected…

无序系统与神经网络 · 物理学 2018-08-20 Aurélien Decelle , Giancarlo Fissore , Cyril Furtlehner

This paper is concerned with a constrained optimization problem over a directed graph (digraph) of nodes, in which the cost function is a sum of local objectives, and each node only knows its local objective and constraints. To…

分布式、并行与集群计算 · 计算机科学 2017-01-24 Pei Xie , Keyou You , Shiji Song , Cheng Wu