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We confirm a conjecture by Everett, Sinclair, and Dankelmann~[Some Centrality results new and old, J. Math. Sociology 28 (2004), 215--227] regarding the problem of maximizing closeness centralization in two-mode data, where the number of…

Combinatorics · Mathematics 2016-08-16 Matjaž Krnc , Jean-Sébastien Sereni , Riste Škrekovski , Zelealem B. Yilma

An iteration-free method of domain decomposition is considered for approximate solving a boundary value problem for a second-order parabolic equation. A standard approach to constructing domain decomposition schemes is based on a partition…

Numerical Analysis · Computer Science 2017-05-10 Petr N. Vabishchevich

We consider partitions of a point set into two parts, and the lengths of the minimum spanning trees of the original set and of the two parts. If $w(P)$ denotes the length of a minimum spanning tree of $P$, we show that every set $P$ of $n…

Computational Geometry · Computer Science 2024-01-02 Adrian Dumitrescu , János Pach , Géza Tóth

In many contexts involving ranked preferences, agents submit partial orders over available alternatives. Statistical models often treat these as marginal in the space of total orders, but this approach overlooks information contained in the…

Machine Learning · Computer Science 2024-06-25 Amel Awadelkarim , Johan Ugander

We study the issue of PAC-Bayesian domain adaptation: We want to learn, from a source domain, a majority vote model dedicated to a target one. Our theoretical contribution brings a new perspective by deriving an upper-bound on the target…

Machine Learning · Statistics 2016-07-27 Pascal Germain , Amaury Habrard , François Laviolette , Emilie Morvant

We investigate the joint distribution of the vertex degrees in three models of random bipartite graphs. Namely, we can choose each edge with a specified probability, choose a specified number of edges, or specify the vertex degrees in one…

Combinatorics · Mathematics 2022-12-22 Brendan D. McKay , Fiona Skerman

This paper contains an extensive combinatorial analysis of the single-peaked domain restriction and investigates the likelihood that an election is single-peaked. We provide a very general upper bound result for domain restrictions that can…

Computer Science and Game Theory · Computer Science 2019-01-30 Marie-Louise Lackner , Martin Lackner

This paper explores a new class of incomplete preferences -- termed ``connected preferences'' -- in which maximal domains of comparability are topologically connected. We provide necessary and sufficient conditions for continuous…

Theoretical Economics · Economics 2026-05-01 Leandro Gorno , Alessandro Rivello

Given a binary dominance relation on a set of alternatives, a common thread in the social sciences is to identify subsets of alternatives that satisfy certain notions of stability. Examples can be found in areas as diverse as voting theory,…

Computational Complexity · Computer Science 2015-02-06 Dorothea Baumeister , Felix Brandt , Felix Fischer , Jan Hoffmann , Joerg Rothe

An ordinal preference domain is a subset of preference orders that the voters are allowed to cast in an election. We introduce and study the notion of outer diversity of a domain and evaluate its value for a number of well-known structured…

Computer Science and Game Theory · Computer Science 2026-02-18 Piotr Faliszewski , Krzysztof Sornat , Stanisław Szufa , Tomasz Wąs

Despite great progress in supervised semantic segmentation,a large performance drop is usually observed when deploying the model in the wild. Domain adaptation methods tackle the issue by aligning the source domain and the target domain.…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Haoran Wang , Tong Shen , Wei Zhang , Lingyu Duan , Tao Mei

Bipartite ranking aims to learn a real-valued ranking function that orders positive instances before negative instances. Recent efforts of bipartite ranking are focused on optimizing ranking accuracy at the top of the ranked list. Most…

Machine Learning · Computer Science 2020-07-07 Nan Li , Rong Jin , Zhi-Hua Zhou

We are concerned with the problem of designing large families of subsets over a common labeled ground set that have small pairwise intersections and the property that the maximum discrepancy of the label values within each of the sets is…

Information Theory · Computer Science 2019-01-18 R. Gabrys , H. S. Dau , C. J. Colbourn , O. Milenkovic

We introduce a new combinatorial structure: the superselector. We show that superselectors subsume several important combinatorial structures used in the past few years to solve problems in group testing, compressed sensing, multi-channel…

Data Structures and Algorithms · Computer Science 2010-10-07 Ferdinando Cicalese , Ugo Vaccaro

Cross-domain recommendation aims to leverage knowledge from multiple domains to alleviate the data sparsity and cold-start problems in traditional recommender systems. One popular paradigm is to employ overlapping user representations to…

Information Retrieval · Computer Science 2023-01-30 Chuang Zhao , Hongke Zhao , Ming He , Jian Zhang , Jianping Fan

Cross domain recommender systems have been increasingly valuable for helping consumers identify useful items in different applications. However, existing cross-domain models typically require large number of overlap users, which can be…

Information Retrieval · Computer Science 2021-04-21 Pan Li , Alexander Tuzhilin

In this paper, we propose a low-rank coordinate descent approach to structured semidefinite programming with diagonal constraints. The approach, which we call the Mixing method, is extremely simple to implement, has no free parameters, and…

Optimization and Control · Mathematics 2026-05-12 Po-Wei Wang , Wei-Cheng Chang , J. Zico Kolter

A graph $G=(V,E)$ is called 1-planar if it admits a drawing in the plane such that each edge is crossed at most once. In this paper, we study bipartite $1$-planar graphs with prescribed numbers of vertices in partite sets. Bipartite…

Combinatorics · Mathematics 2015-03-05 Július Czap , Jakub Przybyło , Erika Škrabuľáková

In the optimization of convex domains under a PDE constraint numerical difficulties arise in the approximation of convex domains in $\mathbb{R}^3$. Previous research used a restriction to rotationally symmetric domains to reduce shape…

Numerical Analysis · Mathematics 2023-11-23 Sören Bartels , Hedwig Keller , Gerd Wachsmuth

Finding the next venue to be visited by a user in a specific city is an interesting, but challenging, problem. Different techniques have been proposed, combining collaborative, content, social, and geographical signals; however it is not…

Information Retrieval · Computer Science 2018-09-27 Pablo Sánchez , Alejandro Bellogín