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Preference learning is a widely adopted post-training technique that aligns large language models (LLMs) to human preferences and improves specific downstream task capabilities. In this work we systematically investigate how specific…

Computation and Language · Computer Science 2024-12-23 Joongwon Kim , Anirudh Goyal , Aston Zhang , Bo Xiong , Rui Hou , Melanie Kambadur , Dhruv Mahajan , Hannaneh Hajishirzi , Liang Tan

Properties of stable matchings in the popular random-matching-market model have been studied for over 50 years. In a random matching market, each agent has complete preferences drawn uniformly and independently at random. Wilson (1972),…

Computer Science and Game Theory · Computer Science 2024-02-16 Aditya Potukuchi , Shikha Singh

Matching demand with supply in crowdsourcing logistics platforms must contend with uncertain worker participation. Motivated by this challenge, we study a two-stage "recommend-to-match" problem under stochastic supplier rejections, where…

Optimization and Control · Mathematics 2026-04-01 Haoyue Liu , Sheng Liu , Mingyao Qi

Selecting an effective docking algorithm is highly context-dependent, and no single method performs reliably across structural, chemical, or protocol regimes. We introduce MolAS, a lightweight algorithm selection system that predicts…

Quantitative Methods · Quantitative Biology 2025-12-03 Jiabao Brad Wang , Siyuan Cao , Hongxuan Wu , Yiliang Yuan , Mustafa Misir

We consider the problem of allocating applicants to courses, where each applicant has a subset of acceptable courses that she ranks in strict order of preference. Each applicant and course has a capacity, indicating the maximum number of…

Data Structures and Algorithms · Computer Science 2017-07-11 Katarina Cechlarova , Bettina Klaus , David F. Manlove

In bipartite matching problems, vertices on one side of a bipartite graph are paired with those on the other. In its online variant, one side of the graph is available offline, while the vertices on the other side arrive online. When a…

Data Structures and Algorithms · Computer Science 2018-11-14 John P. Dickerson , Karthik Abinav Sankararaman , Aravind Srinivasan , Pan Xu

The stable allocation problem is one of the broadest extensions of the well-known stable marriage problem. In an allocation problem, edges of a bipartite graph have capacities and vertices have quotas to fill. Here we investigate the case…

Discrete Mathematics · Computer Science 2014-07-14 Agnes Cseh , Martin Skutella

Predicting students' academic performance has been a research area of interest in recent years with many institutions focusing on improving the students' performance and the education quality. The analysis and prediction of students'…

Computers and Society · Computer Science 2020-06-11 MohammadNoor Injadat , Abdallah Moubayed , Ali Bou Nassif , Abdallah Shami

Conjoint analysis, an application of factorial experimental design, is a popular tool in social science research for studying multidimensional preferences. In such political analysis experiments, respondents are often asked to choose…

Methodology · Statistics 2025-05-06 Connor T. Jerzak , Priyanshi Chandra , Rishi Hazra

Centralized assignment markets have historically relied on Deferred-Acceptance (DA) algorithms, which do not incorporate multiple objectives into the assignment. In this work, we propose an optimization-based many-to-one assignment…

Optimization and Control · Mathematics 2025-09-19 Dimitris Bertsimas , Carol Gao

Many real world person-person or person-product relationships can be modeled graphically. More specifically, bipartite graphs can be especially useful when modeling scenarios that involve two disjoint groups. As a result, many existing…

Information Retrieval · Computer Science 2022-11-03 Nathan Ma

Electricity market operators worldwide use mixed-integer linear programming to solve the allocation problem in wholesale electricity markets. Prices are typically determined based on the duals of relaxed versions of this optimization…

Computer Science and Game Theory · Computer Science 2023-12-13 Mete Şeref Ahunbay , Martin Bichler , Teodora Dobos , Johannes Knörr

Stochastic Optimization is a cornerstone of operations research, providing a framework to solve optimization problems under uncertainty. Despite the development of numerous algorithms to tackle these problems, several persistent challenges…

Optimization and Control · Mathematics 2025-03-28 Di Zhang , Suvrajeet Sen

We study two-sided matching markets in which one side of the market (the players) does not have a priori knowledge about its preferences for the other side (the arms) and is required to learn its preferences from experience. Also, we assume…

Machine Learning · Computer Science 2021-06-23 Lydia T. Liu , Feng Ruan , Horia Mania , Michael I. Jordan

In this article, we develop an algorithm for probabilistic and constrained projection pursuit. Our algorithm called ADIS (automated decomposition into sources) accepts arbitrary non-linear contrast functions and constraints from the user…

Computation · Statistics 2009-03-02 Gautam Pendse , David Borsook , Lino Becerra

In the {\sc Course Allocation} problem, there are a set of students and a set of courses at a given university. University courses may have different numbers of credits, typically related to different numbers of learning hours, and there…

Data Structures and Algorithms · Computer Science 2026-01-27 José Rodríguez , David Manlove

Stochastic dynamic matching problems have recently gained attention in the stochastic-modeling community due to their diverse applications, such as supply-chain management and kidney exchange programs. In this paper, we study a matching…

Networking and Internet Architecture · Computer Science 2025-11-13 Céline Comte , Fabien Mathieu , Sushil Mahavir Varma , Ana Bušić

Automatic matching of job offers and job candidates is a major problem for a number of organizations and job applicants that if it were successfully addressed could have a positive impact in many countries around the world. In this context,…

Other Computer Science · Computer Science 2023-05-08 Jorge Martinez-Gil , Alejandra Lorena Paoletti , Mario Pichler

We study a practical centralized matching problem which assigns children to daycare centers. The collective preferences of siblings from the same family introduce complementarities, which can lead to the absence of stable matchings, as…

Computer Science and Game Theory · Computer Science 2025-01-23 Zhaohong Sun , Tomohiko Yokoyama , Makoto Yokoo

Discovering improved policy optimization algorithms for language models remains a costly manual process requiring repeated mechanism-level modification and validation. Unlike simple combinatorial code search, this problem requires searching…

Computation and Language · Computer Science 2026-03-26 Sirui Xia , Yikai Zhang , Aili Chen , Siye Wu , Siyu Yuan , Yanghua Xiao
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