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Focusing on the bipartite Stable Marriage problem, we investigate different robustness measures related to stable matchings. We analyze the computational complexity of computing them and analyze their behavior in extensive experiments on…

Computer Science and Game Theory · Computer Science 2024-08-20 Kimon Boehmer , Niclas Boehmer

Electronic Health Records (EHRs) have been heavily used to predict various downstream clinical tasks such as readmission or mortality. One of the modalities in EHRs, clinical notes, has not been fully explored for these tasks due to its…

Computation and Language · Computer Science 2019-06-05 Bonggun Shin , Julien Hogan , Andrew B. Adams , Raymond J. Lynch , Rachel E. Patzer , Jinho D. Choi

We present a polynomial-time $\frac{3}{2}$-approximation algorithm for the problem of finding a maximum-cardinality stable matching in a many-to-many matching model with ties and laminar constraints on both sides. We formulate our problem…

Data Structures and Algorithms · Computer Science 2021-10-06 Yu Yokoi

This paper considers two-sided matching with budget constraints where one side (firm or hospital) can make monetary transfers (offer wages) to the other (worker or doctor). In a standard model, while multiple doctors can be matched to a…

Computer Science and Game Theory · Computer Science 2017-11-22 Yasushi Kawase , Atsushi Iwasaki

We study the existence of stable matchings when agents have choice correspondences instead of preference relations. We extend the framework of \cite{chambers2017choice} by weakening the path independence assumption. For many-to-many…

Theoretical Economics · Economics 2026-05-20 Varun Bansal , Mihir Bhattacharya , Ojasvi Khare

In the fundamental Stable Marriage and Stable Roommates problems, there are inherent trade-offs between the size and stability of solutions. While in the former problem, a stable matching always exists and can be found efficiently using the…

Computer Science and Game Theory · Computer Science 2026-01-27 Frederik Glitzner , David Manlove

Consider a connected network of n nodes that all wish to recover k desired packets. Each node begins with a subset of the desired packets and exchanges coded packets with its neighbors. This paper provides necessary and sufficient…

Information Theory · Computer Science 2012-03-16 Thomas A. Courtade , Richard D. Wesel

Patients with motor control difficulties often "type" on a computer using a switch keyboard to guide a scanning cursor to text elements. We show how to optimize some parts of the design of switch keyboards by casting the design problem as…

Human-Computer Interaction · Computer Science 2015-03-18 Xiao Zhang , Kan Fang , Gregory Francis

Through the introduction of a new electron spin transport mechanism, a 2D donor electron spin quantum computer architecture is proposed. This design addresses major technical issues in the original Kane design, including spatial…

Quantum Physics · Physics 2010-06-29 L. C. L. Hollenberg , A. D. Greentree , A. G. Fowler , C. J. Wellard

Over 10,000 candidates wait for a kidney transplantation in Eurotransplant, and are prioritized for transplantation based on the allocation rules of the Eurotransplant Kidney Allocation System (ETKAS) and Eurotransplant Senior Program…

Computers and Society · Computer Science 2025-02-24 H. C. de Ferrante , Rocio Laguna Goya , Bart M. L. Smeulders , Frits C. R. Spieksma , Ineke Tieken

Ultra-reliability and low latency communication has long been an important but challenging task in the fifth and sixth generation wireless communication systems. Scheduling as many users as possible to serve on the limited time-frequency…

Information Theory · Computer Science 2021-09-10 Shiwen He , Jun Yuan , Zhenyu An , Yunshan Yi , Yongming Huang

We consider the Stochastic Matching problem, which is motivated by applications in kidney exchange and online dating. In this problem, we are given an undirected graph. Each edge is assigned a known, independent probability of existence and…

Data Structures and Algorithms · Computer Science 2020-10-19 Marek Adamczyk , Brian Brubach , Fabrizio Grandoni , Karthik A. Sankararaman , Aravind Srinivasan , Pan Xu

This work presents a hybrid approach to solve the maximum stable set problem, using constraint and semidefinite programming. The approach consists of two steps: subproblem generation and subproblem solution. First we rank the variable…

Combinatorics · Mathematics 2007-05-23 W. J. van Hoeve

We propose a generalization of the classical stable marriage problem. In our model, the preferences on one side of the partition are given in terms of arbitrary binary relations, which need not be transitive nor acyclic. This generalization…

Computer Science and Game Theory · Computer Science 2014-07-28 Linda Farczadi , Konstantinos Georgiou , Jochen Könemann

We propose a new caching scheme where linear combinations of the file segments are cached at the users, for the cases where the number of files is no greater than the number of users. When a user requests a certain file in the delivery…

Information Theory · Computer Science 2016-05-02 Chao Tian , Jun Chen

It is well known that every stable matching instance $I$ has a rotation poset $R(I)$ that can be computed efficiently and the downsets of $R(I)$ are in one-to-one correspondence with the stable matchings of $I$. Furthermore, for every poset…

Discrete Mathematics · Computer Science 2021-01-29 Christine T. Cheng , Will Rosenbaum

Consider the group of $n$ men and $n$ women, each with their own preference list for a potential marriage partner. The stable marriage is a bipartite matching such that no unmatched pair (man, woman) prefer each other to their partners in…

Combinatorics · Mathematics 2017-07-25 Boris Pittel

Cell nuclei instance segmentation is a crucial task in digital kidney pathology. Traditional automatic segmentation methods often lack generalizability when applied to unseen datasets. Recently, the success of foundation models (FMs) has…

The Seat Arrangement Problem is a problem of finding a desirable seat arrangement for given preferences of agents and a seat graph that represents a configuration of seats. In this paper, we consider decision problems of determining if an…

Computer Science and Game Theory · Computer Science 2025-01-14 Sota Kawase , Shuichi Miyazaki

We propose a new integer programming formulation for the problem of finding a maximum stable set of a graph based on representatives of stable sets. In addition, we investigate exact solutions provided by a Lagrangian decomposition of this…

Discrete Mathematics · Computer Science 2009-03-10 Manoel Campelo , Ricardo C. Correa