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This work tackles a class of optimization problems in which fixing some well-chosen combinations of the variables makes the problem substantially easier to solve. We consider that the variables space may be partitioned into subsets that fix…

Optimization and Control · Mathematics 2026-03-13 Charles Audet , Pierre-Yves Bouchet , Loïc Bourdin

An algorithm capable of finding a likely global optimum (minimum) and a set of sub-optimal points for arbitrary generic functions of several variables is presented. The algorithm is designed to deal even with functions of complex behavior,…

Optimization and Control · Mathematics 2017-08-23 Glauco Masotti

There is a long history in machine learning of model ensembling, beginning with boosting and bagging and continuing to the present day. Much of this history has focused on combining models for classification and regression, but recently…

Machine Learning · Computer Science 2024-05-28 Ira Globus-Harris , Varun Gupta , Michael Kearns , Aaron Roth

Motivated by group-project distribution, we introduce and study stable matching under the constraint of applicants needing to share a location to be matched with the same institute, which we call the Location-Restricted Stable Matching…

Data Structures and Algorithms · Computer Science 2025-08-05 Garret Castro

A {log-optimal} portfolio is any portfolio that maximizes the expected logarithmic growth (ELG) of an investor's wealth. This maximization problem typically assumes that the information of the true distribution of returns is known to the…

Optimization and Control · Mathematics 2023-10-16 Chung-Han Hsieh

This paper presents a general-purpose formulation of a large class of discrete-time planning problems, with hybrid state and control-spaces, as factored transition systems. Factoring allows state transitions to be described as the…

Robotics · Computer Science 2019-02-13 Caelan Reed Garrett , Tomás Lozano-Pérez , Leslie Pack Kaelbling

Stable matching theory is the foundation of centralized clearinghouses worldwide, from school choice programs to medical residency allocations. However, incorporating complex distributional goals-such as multi-dimensional diversity quotas…

Computer Science and Game Theory · Computer Science 2026-05-01 Gergely Csáji , Zhaohong Sun

We propose a data-driven portfolio selection model that integrates side information, conditional estimation and robustness using the framework of distributionally robust optimization. Conditioning on the observed side information, the…

Portfolio Management · Quantitative Finance 2024-04-10 Viet Anh Nguyen , Fan Zhang , Shanshan Wang , Jose Blanchet , Erick Delage , Yinyu Ye

Facility location is a prominent optimization problem that has inspired a large quantity of both theoretical and practical studies in combinatorial optimization. Although the problem has been investigated under various settings reflecting…

Data Structures and Algorithms · Computer Science 2019-07-09 Kangsan Kim , Yongho Shin , Hyung-Chan An

In this paper we show how to implement in a simple way some complex real-life constraints on the portfolio optimization problem, so that it becomes amenable to quantum optimization algorithms. Specifically, first we explain how to obtain…

Portfolio Management · Quantitative Finance 2021-08-23 Samuel Palmer , Serkan Sahin , Rodrigo Hernandez , Samuel Mugel , Roman Orus

The proportional fair resource allocation problem is a major problem studied in flow control of networks, operations research, and economic theory, where it has found numerous applications. This problem, defined as the constrained…

Optimization and Control · Mathematics 2022-11-29 Francisco Criado , David Martínez-Rubio , Sebastian Pokutta

Optimizing the performance of many objectives (instantiated by tasks or clients) jointly with a few Pareto stationary solutions (models) is critical in machine learning. However, previous multi-objective optimization methods often focus on…

Machine Learning · Computer Science 2024-03-08 Ziyue Li , Tian Li , Virginia Smith , Jeff Bilmes , Tianyi Zhou

Many different approaches for solving Constraint Satisfaction Problems (CSPs) and related Constraint Optimization Problems (COPs) exist. However, there is no single solver (nor approach) that performs well on all classes of problems and…

Artificial Intelligence · Computer Science 2015-05-11 Mirko Stojadinović , Mladen Nikolić , Filip Marić

Obtaining utility maximizing optimal portfolios in closed form is a challenging issue when the return vector follows a more general distribution than the normal one. In this note, we give closed form expressions, in markets based on…

Portfolio Management · Quantitative Finance 2026-02-10 Miklós Rásonyi , Hasanjan Sayit

The Maximum Common Subgraph is a computationally challenging problem with countless practical applications. Even if it has been long proven NP-hard, its importance still motivates searching for exact solutions. This work starts by…

Data Structures and Algorithms · Computer Science 2020-11-09 Andrea Marcelli , Stefano Quer , Giovanni Squillero

We consider the multi-item inventory lot-sizing problem with supplier selection. The problem consists of determining an optimal purchasing plan in order to satisfy dynamic deterministic demands for multiple items over a finite planning…

Optimization and Control · Mathematics 2021-02-22 Leopoldo E. Cárdenas-Barrón , Rafael A. Melo , Marcio C. Santos

We initiate the study of the heterogeneous facility location problem with limited resources. We mainly focus on the fundamental case where a set of agents are positioned in the line segment [0,1] and have approval preferences over two…

Computer Science and Game Theory · Computer Science 2021-05-07 Argyrios Deligkas , Aris Filos-Ratsikas , Alexandros A. Voudouris

Random dimensionality reduction is a versatile tool for speeding up algorithms for high-dimensional problems. We study its application to two clustering problems: the facility location problem, and the single-linkage hierarchical clustering…

Data Structures and Algorithms · Computer Science 2021-07-06 Shyam Narayanan , Sandeep Silwal , Piotr Indyk , Or Zamir

In traditional facility location problems, a set of points is provided, and the objective is to determine the best location for a new facility based on criteria such as minimizing cost, time, and distances between clients and facilities.…

Optimization and Control · Mathematics 2025-03-11 Nazanin Tour-Savadkoohi , Jafar Fathali

The paper studies problem of continuous time optimal portfolio selection for a incom- plete market diffusion model. It is shown that, under some mild conditions, near optimal strategies for investors with different performance criteria can…

Portfolio Management · Quantitative Finance 2014-04-15 Nikolai Dokuchaev
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