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The dynamic portfolio optimization problem in finance frequently requires learning policies that adhere to various constraints, driven by investor preferences and risk. We motivate this problem of finding an allocation policy within a…

Artificial Intelligence · Computer Science 2020-12-23 Nymisha Bandi , Theja Tulabandhula

In this paper we present novel algorithmic solutions for several resource processing and data transfer multicriteria optimization problems. The results of most of the presented techniques are strategies which solve the considered problems…

Data Structures and Algorithms · Computer Science 2010-06-28 Mugurel Ionut Andreica , Nicolae Tapus

We revisit the problem of searching for a target at an unknown location on a line when given upper and lower bounds on the distance D that separates the initial position of the searcher from the target. Prior to this work, only asymptotic…

Data Structures and Algorithms · Computer Science 2013-10-04 Prosenjit Bose , Jean-Lou De Carufel , Stephane Durocher

This paper presents different methods for solving parallel machine scheduling problems with precedence constraints and setup times between the jobs. Limited discrepancy search methods mixed with local search principles, dominance conditions…

Data Structures and Algorithms · Computer Science 2009-02-19 Bernat Gacias , Christian Artigues , Pierre Lopez

An intelligent agent may in general pursue multiple procedural goals simultaneously, which may lead to arise some conflicts (incompatibilities) among them. In this paper, we focus on the incompatibilities that emerge due to resources…

Artificial Intelligence · Computer Science 2020-09-15 Mariela Morveli-Espinoza , Ayslan Possebom , Cesar Augusto Tacla

In certain real-world optimization scenarios, practitioners are not interested in solving multiple problems but rather in finding the best solution to a single, specific problem. When the computational budget is large relative to the cost…

Machine Learning · Computer Science 2026-02-10 Judith Echevarrieta , Etor Arza , Aritz Pérez , Josu Ceberio

Resource-constrained systems are prevalent in communications. Such a system is composed of many components but only some of them can be allocated with resources such as time slots. According to the amount of information about the system,…

Information Theory · Computer Science 2014-04-02 Albert Y. S. Lam , Yanhui Geng , Victor O. K. Li

In this paper we formulate and study an optimal switching problem under partial information. In our model the agent/manager/investor attempts to maximize the expected reward by switching between different states/investments. However, he is…

Optimization and Control · Mathematics 2014-03-10 Kai Li , Kaj Nyström , Marcus Olofsson

In this article, a general problem of sequential statistical inference for general discrete-time stochastic processes is considered. The problem is to minimize an average sample number given that Bayesian risk due to incorrect decision does…

Statistics Theory · Mathematics 2010-10-18 Andrey Novikov

The Performance Estimation Problem (PEP) approach consists in computing worst-case performance bounds on optimization algorithms by solving an optimization problem: one maximizes an error criterion over all initial conditions allowed and…

Optimization and Control · Mathematics 2024-02-13 Anne Rubbens , Nizar Bousselmi , Sebastien Colla , Julien M. Hendrickx

The role of an expert in the decision-making process is crucial, as the final recommendation depends on his disposition, clarity of mind, experience, and knowledge of the problem. However, the recommendation also depends on their honesty.…

Artificial Intelligence · Computer Science 2024-05-28 Jacek Szybowski , Konrad Kułakowski , Sebastian Ernst

Many major works in social science employ matching to make causal conclusions, but different matches on the same data may produce different treatment effect estimates, even when they achieve similar balance or minimize the same loss…

Applications · Statistics 2023-03-23 Marco Morucci , Cynthia Rudin

Model selection is often performed by empirical risk minimization. The quality of selection in a given situation can be assessed by risk bounds, which require assumptions both on the margin and the tails of the losses used. Starting with…

Statistics Theory · Mathematics 2008-12-18 Charles Mitchell , Sara van de Geer

Applications of machine learning inform human decision makers in a broad range of tasks. The resulting problem is usually formulated in terms of a single decision maker. We argue that it should rather be described as a two-player learning…

Machine Learning · Computer Science 2022-05-04 Sebastian Bordt , Ulrike von Luxburg

This paper investigates and bounds the expected solution quality of combinatorial optimization problems when feasible solutions are chosen at random. Loose general bounds are discovered, as well as families of combinatorial optimization…

Data Structures and Algorithms · Computer Science 2014-02-04 Evan A. Sultanik

We address the problem of identifying the optimal policy with a fixed confidence level in a multi-armed bandit setup, when \emph{the arms are subject to linear constraints}. Unlike the standard best-arm identification problem which is well…

Machine Learning · Computer Science 2024-01-26 Emil Carlsson , Debabrota Basu , Fredrik D. Johansson , Devdatt Dubhashi

We consider the problem of discriminating finite-dimensional quantum processes, also called quantum supermaps, that can consist of multiple time steps. Obtaining the ultimate performance for discriminating quantum processes is of…

Quantum Physics · Physics 2022-02-22 Kenji Nakahira , Kentaro Kato

There are two common settings in a quantum-state discrimination problem. One is minimum-error discrimination where a wrong guess (error) is allowed and the discrimination success probability is maximized. The other is unambiguous…

Quantum Physics · Physics 2009-11-13 A. Hayashi , T. Hashimoto , M. Horibe

Synthesis of bulletproof strategies in imperfect information scenarios is a notoriously hard problem. In this paper, we suggest that it is sometimes a viable alternative to aim at "reasonably good" strategies instead. This makes sense not…

Multiagent Systems · Computer Science 2023-10-26 Wojciech Jamroga , Damian Kurpiewski

We study a sequential resource allocation problem involving a fixed number of recurring jobs. At each time-step the manager should distribute available resources among the jobs in order to maximise the expected number of completed jobs.…

Machine Learning · Computer Science 2014-06-17 Tor Lattimore , Koby Crammer , Csaba Szepesvári