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The relation classification task assigns the proper semantic relation to a pair of subject and object entities; the task plays a crucial role in various text mining applications, such as knowledge graph construction and entities interaction…

计算与语言 · 计算机科学 2023-09-26 Sakher Khalil Alqaaidi , Elika Bozorgi , Krzysztof J. Kochut

Convex optimization problems arising in applications often have favorable objective functions and complicated constraints, thereby precluding first-order methods from being immediately applicable. We describe an approach that exchanges the…

Aligning partially overlapping point sets where there is no prior information about the value of the transformation is a challenging problem in computer vision. To achieve this goal, we first reduce the objective of the robust point…

计算机视觉与模式识别 · 计算机科学 2020-07-07 Wei Lian , WangMeng Zuo , Lei Zhang

The growing interest in explainable artificial intelligence (XAI) for critical decision making motivates the need for interpretable machine learning (ML) models. In fact, due to their structure (especially with small sizes), these models…

人工智能 · 计算机科学 2022-03-23 Hao Hu , Marie-José Huguet , Mohamed Siala

In this paper we systematically investigate the connections between logics with a finite number of variables, structures of bounded pathwidth, and linear Datalog Programs. We prove that, in the context of Constraint Satisfaction Problems,…

计算机科学中的逻辑 · 计算机科学 2017-01-11 Victor Dalmau

Weakly supervised machine learning algorithms are able to learn from ambiguous samples or labels, e.g., multi-instance learning or partial-label learning. However, in some real-world tasks, each training sample is associated with not only…

机器学习 · 计算机科学 2022-12-20 Wei Tang , Weijia Zhang , Min-Ling Zhang

We initiate the theoretical study of the problem of minimizing the size of an iBGP overlay in an Autonomous System (AS) in the Internet subject to a natural notion of correctness derived from the standard "hot-potato" routing rules. For…

数据结构与算法 · 计算机科学 2011-07-13 Michael Dinitz , Gordon Wilfong

Database alignment is a variant of the graph alignment problem: Given a pair of anonymized databases containing separate yet correlated features for a set of users, the problem is to identify the correspondence between the features and…

信息论 · 计算机科学 2023-07-06 Osman Emre Dai , Daniel Cullina , Negar Kiyavash

We consider a multitask learning problem, in which several predictors are learned jointly. Prior research has shown that learning the relations between tasks, and between the input features, together with the predictor, can lead to better…

机器学习 · 计算机科学 2019-07-11 Han Zhao , Otilia Stretcu , Alex Smola , Geoff Gordon

Even if path planning can be solved using standard techniques from dynamic programming and control, the problem can also be approached using probabilistic inference. The algorithms that emerge using the latter framework bear some appealing…

The stable marriage and stable roommates problems have been extensively studied due to their high applicability in various real-world scenarios. However, it might happen that no stable solution exists, or stable solutions do not meet…

计算机科学与博弈论 · 计算机科学 2022-04-29 Kristóf Bérczi , Gergely Csáji , Tamás Király

We develop two adaptive discretization algorithms for convex semi-infinite optimization, which terminate after finitely many iterations at approximate solutions of arbitrary precision. In particular, they terminate at a feasible point of…

最优化与控制 · 数学 2022-01-14 Jochen Schmid , Miltiadis Poursanidis

Semi-supervised learning deals with the problem of how, if possible, to take advantage of a huge amount of not classified data, to perform classification, in situations when, typically, the labelled data are few. Even though this is not…

统计理论 · 数学 2017-12-18 Alejandro Cholaquidis , Ricardo Fraiman , Mariela Sued

Semidefinite programs (SDPs) -- some of the most useful and versatile optimization problems of the last few decades -- are often pathological: the optimal values of the primal and dual problems may differ and may not be attained. Such SDPs…

最优化与控制 · 数学 2019-10-23 Gabor Pataki

Efficient algorithms for the sparse solution of under-determined linear systems $Ax = b$ are known for matrices $A$ satisfying suitable assumptions like the restricted isometry property (RIP). Without such assumptions little is known and…

机器学习 · 计算机科学 2021-01-22 G. Welper

We give a combinatorial condition for the existence of efficient, LP-based FPT algorithms for a broad class of graph-theoretical optimisation problems. Our condition is based on the notion of biased graphs known from matroid theory.…

数据结构与算法 · 计算机科学 2020-02-21 Euiwoong Lee , Magnus Wahlström

In this paper, we address the problem of estimating transport surplus (a.k.a. matching affinity) in high dimensional optimal transport problems. Classical optimal transport theory specifies the matching affinity and determines the optimal…

统计方法学 · 统计学 2017-01-02 Arnaud Dupuy , Alfred Galichon , Yifei Sun

Scheduling problems are generally NP-hard combinatorial problems, and a lot of research has been done to solve these problems heuristically. However, most of the previous approaches are problem-specific and research into the development of…

神经与进化计算 · 计算机科学 2010-07-05 Jingpeng Li , Uwe Aickelin

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 study the problem of connecting the parts of a multipartite graph using a minimum number of edges under a matching constraint. We introduce interconnection trees, defined as matchings whose projections onto the quotient graph form a…

计算复杂性 · 计算机科学 2026-05-19 Noé Demange , Yann Strozecki
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