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Related papers: Query Minimization under Stochastic Uncertainty

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We propose a new approach for solving a class of discrete decision making problems under uncertainty with positive cost. This issue concerns multiple and diverse fields such as engineering, economics, artificial intelligence, cognitive…

Artificial Intelligence · Computer Science 2014-01-03 Steve N'Guyen , Clément Moulin-Frier , Jacques Droulez

The area of computing with uncertainty considers problems where some information about the input elements is uncertain, but can be obtained using queries. For example, instead of the weight of an element, we may be given an interval that is…

Data Structures and Algorithms · Computer Science 2021-01-15 Thomas Erlebach , Michael Hoffmann , Murilo S. de Lima

Optimization under uncertainty deals with the problem of optimizing stochastic cost functions given some partial information on their inputs. These problems are extremely difficult to solve and yet pervade all areas of technological and…

Statistical Mechanics · Physics 2015-03-13 Fabrizio Altarelli , Alfredo Braunstein , Abolfazl Ramezanpour , Riccardo Zecchina

There is a growing body of work on sorting and selection in models other than the unit-cost comparison model. This work is the first treatment of a natural stochastic variant of the problem where the cost of comparing two elements is a…

Data Structures and Algorithms · Computer Science 2007-10-02 Stanislav Angelov , Keshav Kunal , Andrew McGregor

Many real-world systems are characterized by stochastic dynamical rules where a complex network of interactions among individual elements probabilistically determines their state. Even with full knowledge of the network structure and of the…

Physics and Society · Physics 2018-05-15 Filippo Radicchi , Claudio Castellano

Given a weighted, ordered query set $Q$ and a partition of $Q$ into classes, we study the problem of computing a minimum-cost decision tree that, given any query $q$ in $Q$, uses equality tests and less-than comparisons to determine the…

Data Structures and Algorithms · Computer Science 2025-01-28 Marek Chrobak , Neal E. Young

In the online (time-series) search problem, a player is presented with a sequence of prices which are revealed in an online manner. In the standard definition of the problem, for each revealed price, the player must decide irrevocably…

Data Structures and Algorithms · Computer Science 2021-12-06 Spyros Angelopoulos , Shahin Kamali , Dehou Zhang

In this paper, we consider an adaptive approach to address optimization problems with uncertain cost parameters. Here, the decision maker selects an initial decision, observes the realization of the uncertain cost parameters, and then is…

Computational Complexity · Computer Science 2013-12-17 Ebrahim Nasrabadi , James B. Orlin

When optimizing problems with uncertain parameter values in a linear objective, decision-focused learning enables end-to-end learning of these values. We are interested in a stochastic scheduling problem, in which processing times are…

Machine Learning · Computer Science 2024-08-16 Kim van den Houten , David M. J. Tax , Esteban Freydell , Mathijs de Weerdt

Stochastic optimization is a widely used approach for optimization under uncertainty, where uncertain input parameters are modeled by random variables. Exact or approximation algorithms have been obtained for several fundamental problems in…

Machine Learning · Computer Science 2025-08-14 Arpit Agarwal , Rohan Ghuge , Viswanath Nagarajan , Zhengjia Zhuo

We study contextual stochastic optimization problems, where we leverage rich auxiliary observations (e.g., product characteristics) to improve decision making with uncertain variables (e.g., demand). We show how to train forest decision…

Optimization and Control · Mathematics 2022-03-17 Nathan Kallus , Xiaojie Mao

We introduce a novel strategy to address the issue of demand estimation in single-item single-period stochastic inventory optimisation problems. Our strategy analytically combines confidence interval analysis and inventory optimisation. We…

Optimization and Control · Mathematics 2014-09-09 Roberto Rossi , Steven Prestwich , S. Armagan Tarim , Brahim Hnich

Many practical scenarios make it necessary to evaluate top-k queries over data items with partially unknown values. This paper considers a setting where the values are taken from a numerical domain, and where some partial order constraints…

Databases · Computer Science 2019-08-28 Antoine Amarilli , Yael Amsterdamer , Tova Milo , Pierre Senellart

Considering a graph with unknown weights, can we find the shortest path for a pair of nodes if we know the minimal Steiner trees associated with some subset of nodes? That is, with respect to a fixed latent decision-making system (e.g., a…

Machine Learning · Computer Science 2024-02-06 Guangmo Tong , Peng Zhao , Mina Samizadeh

We study the problem of determining what data is required to solve a decision-making task when only partial information about the state of the world is available. Focusing on linear programs, we introduce a decision-focused notion of data…

Optimization and Control · Mathematics 2026-02-18 Omar Bennouna , Amine Bennouna , Saurabh Amin , Asuman Ozdaglar

It is a long-standing objective to ease the computation burden incurred by the decision making process. Identification of this mechanism's sensitivity to simplification has tremendous ramifications. Yet, algorithms for decision making under…

Artificial Intelligence · Computer Science 2021-05-13 Andrey Zhitnikov , Vadim Indelman

We consider the worst-case expectation of a permutation invariant ambiguity set of discrete distributions as a proxy-cost for data-driven expected risk minimization. For this framework, we coin the term ordered risk minimization to…

Optimization and Control · Mathematics 2023-09-19 Peter Coppens , Panagiotis Patrinos

Online decision making aims to learn the optimal decision rule by making personalized decisions and updating the decision rule recursively. It has become easier than before with the help of big data, but new challenges also come along.…

Machine Learning · Statistics 2020-10-16 Haoyu Chen , Wenbin Lu , Rui Song

In applications of imprecise probability, analysts must compute lower (or upper) expectations, defined as the infimum of an expectation over a set of parameter values. Monte Carlo methods consistently approximate expectations at fixed…

Computation · Statistics 2021-03-05 Nicholas Syring , Ryan Martin

Searching in partially ordered structures has been considered in the context of information retrieval and efficient tree-like indexes, as well as in hierarchy based knowledge representation. In this paper we focus on tree-like partial…

Data Structures and Algorithms · Computer Science 2016-12-16 Ferdinando Cicalese , Balázs Keszegh , Bernard Lidický , Dömötör Pálvölgyi , Tomáš Valla