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Ensuring fairness in matching algorithms is a key challenge in allocating scarce resources and positions. Focusing on Optimal Transport (OT), we introduce a novel notion of group fairness requiring that the probability of matching two…

Machine Learning · Statistics 2026-02-02 Linus Bleistein , Mathieu Dagréou , Francisco Andrade , Thomas Boudou , Aurélien Bellet

One of the most valuable assets of an organization is its organizational data. The analysis and mining of this potential hidden treasure can lead to much added-value for the organization. Process mining is an emerging area that can be…

Software Engineering · Computer Science 2016-07-05 Asef Pourmasoumi , Ebrahim Bagheri

In this article we consider combinatorial markets with valuations only for singletons and pairs of buy/sell-orders for swapping two items in equal quantity. We provide an algorithm that permits polynomial time market-clearing and -pricing.…

Optimization and Control · Mathematics 2017-10-30 Johannes C. Müller , Sebastian Pokutta , Alexander Martin , Susanne Pape , Andrea Peter , Thomas Winter

Region-based type systems are a powerful tool for various kinds of program analysis. We introduce a new inference algorithm for region types based on an abstract notion of environment transformation. It analyzes the code of a method only…

Programming Languages · Computer Science 2022-09-09 Ulrich Schöpp , Chuangjie Xu

Inspired by the recent 11th Global Trajectory Optimisation Competition, this paper presents the asteroid routing problem (ARP) as a realistic benchmark of algorithms for expensive bound-constrained black-box optimization in permutation…

Optimization and Control · Mathematics 2022-04-20 Manuel López-Ibáñez , Francisco Chicano , Rodrigo Gil-Merino

This paper presents a high-order deferred correction algorithm combined with penalty iteration for solving free and moving boundary problems, using a fourth-order finite difference method. Typically, when free boundary problems are solved…

Numerical Analysis · Mathematics 2023-01-20 Dawei Wang , Kirill Serkh , Christina Christara

In this paper, we propose a novel offloading learning approach to compromise energy consumption and latency in multi-tier network with mobile edge computing. In order to solve this integer programming problem, instead of using conventional…

Information Theory · Computer Science 2019-12-10 Shuhan Zhu , Wei Xu , Lisheng Fan , Kezhi Wang , George K. Karagiannidis

Comparing observed behavior (event data generated during process executions) with modeled behavior (process models), is an essential step in process mining analyses. Alignments are the de-facto standard technique for calculating conformance…

Databases · Computer Science 2021-05-18 Daniel Schuster , Sebastiaan van Zelst , Wil M. P. van der Aalst

Optimal Transport (OT) theory has seen an increasing amount of attention from the computer science community due to its potency and relevance in modeling and machine learning. It introduces means that serve as powerful ways to compare…

Machine Learning · Computer Science 2021-06-04 Luis Caicedo Torres , Luiz Manella Pereira , M. Hadi Amini

It is often known, from modelling studies, that a certain mode of climate tipping (of the oceanic thermohaline circulation, for example) is governed by an underlying fold bifurcation. For such a case we present a scheme of analysis that…

Dynamical Systems · Mathematics 2010-12-15 J. M. T. Thompson , Jan Sieber

The Set Cover Problem (SCP) and the Hitting Set Problem (HSP) are well-studied optimization problems. In this paper we introduce the Reward-Penalty-Selection Problem (RPSP) which can be understood as a combination of the SCP and the HSP…

Computational Complexity · Computer Science 2021-06-29 T. Heller , S. O. Krumke , K. -H. Küfer

We study an optimal investment problem that arises in the context of the vehicle-sharing system. Given a set of locations to build stations, we need to determine i) the sequence of stations to be built and the number of vehicles to acquire…

Artificial Intelligence · Computer Science 2023-11-16 Ba Luat Le , Layla Martin , Emrah Demir , Duc Minh Vu

We consider the problem of searching for an object on a line at an unknown distance OPT from the original position of the searcher, in the presence of a cost of d for each time the searcher changes direction. This is a generalization of the…

Data Structures and Algorithms · Computer Science 2007-05-23 Erik D. Demaine , Sandor P. Fekete , Shmuel Gal

This paper studies the problem of optimally extracting nonrenewable natural resources. Taking into account the fact that the market values of the main natural resources i.e. oil, natural gas, copper,..., etc, fluctuate randomly following…

General Economics · Economics 2018-07-23 Moustapha Pemy

We consider the problem of assigning or allocating resources to a set of jobs. We consider the case when the resources are fungible, that is, the job can be done with any mix of the resources, but with different efficiencies. In our…

Optimization and Control · Mathematics 2021-04-20 Akshay Agrawal , Stephen Boyd , Deepak Narayanan , Fiodar Kazhamiaka , Matei Zaharia

Multi-armed bandit problems are the most basic examples of sequential decision problems with an exploration-exploitation trade-off. This is the balance between staying with the option that gave highest payoffs in the past and exploring new…

Machine Learning · Computer Science 2012-11-06 Sébastien Bubeck , Nicolò Cesa-Bianchi

Path finding algorithm addresses problem of finding shortest path from source to destination avoiding obstacles. There exist various search algorithms namely A*, Dijkstra's and ant colony optimization. Unlike most path finding algorithms…

Artificial Intelligence · Computer Science 2015-04-10 Ahlam Ansari , Mohd Amin Sayyed , Khatija Ratlamwala , Parvin Shaikh

The topology transition problem of transmission networks is becoming increasingly crucial with topological flexibility more widely leveraged to promote high renewable penetration. This paper proposes a novel methodology to address this…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Tong Han , Yue Song , David J. Hill

We propose a novel adaptive approximation approach for test-time resource-constrained prediction. Given an input instance at test-time, a gating function identifies a prediction model for the input among a collection of models. Our…

Machine Learning · Statistics 2017-05-30 Feng Nan , Venkatesh Saligrama

The matrix completion problem has been studied broadly under many underlying conditions. The problem has been explored under adaptive or non-adaptive, exact or estimation, single-phase or multi-phase, and many other categories. In most of…

Machine Learning · Computer Science 2022-05-10 Ilqar Ramazanli