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In this paper, I argue that counterfactual fairness does not constitute a necessary condition for an algorithm to be fair, and subsequently suggest how the constraint can be modified in order to remedy this shortcoming. To this end, I…

Machine Learning · Computer Science 2020-11-17 Fabian Beigang

We study the notion of boundedness in the context of positive existential rules, that is, whether there exists an upper bound to the depth of the chase procedure, that is independent from the initial instance. By focussing our attention on…

Artificial Intelligence · Computer Science 2020-06-16 Pierre Bourhis , Michel Leclère , Marie-Laure Mugnier , Sophie Tison , Federico Ulliana , Lily Galois

Approximations of functions with finite data often do not respect certain "structural" properties of the functions. For example, if a given function is non-negative, a polynomial approximation of the function is not necessarily also…

Numerical Analysis · Mathematics 2020-08-20 Vidhi Zala , Robert M. Kirby , Akil Narayan

Machine learning models trained on uncurated datasets can often end up adversely affecting inputs belonging to underrepresented groups. To address this issue, we consider the problem of adaptively constructing training sets which allow us…

Machine Learning · Computer Science 2021-07-21 Shubhanshu Shekhar , Greg Fields , Mohammad Ghavamzadeh , Tara Javidi

The chase is a fundamental algorithm with ubiquitous uses in database theory. Given a database and a set of existential rules (aka tuple-generating dependencies), it iteratively extends the database to ensure that the rules are satisfied in…

Logic in Computer Science · Computer Science 2025-05-23 David Carral , Lukas Gerlach , Lucas Larroque , Michaël Thomazo

We introduce Feasible Learning (FL), a sample-centric learning paradigm where models are trained by solving a feasibility problem that bounds the loss for each training sample. In contrast to the ubiquitous Empirical Risk Minimization (ERM)…

Efforts to promote equitable public policy with algorithms appear to be fundamentally constrained by the "impossibility of fairness" (an incompatibility between mathematical definitions of fairness). This technical limitation raises a…

Computers and Society · Computer Science 2023-02-28 Ben Green

We propose a new method to design adaptation algorithms that guarantee a certain prescribed level of performance and are applicable to systems with nonconvex parameterization. The main idea behind the method is, given the desired…

Optimization and Control · Mathematics 2007-05-23 I. Y. Tyukin , D. V. Prokhorov , Cees van Leeuwen

We show that proximal minimization algorithms (PMA), majorization minimization (MM), and alternating minimization (AM) are equivalent. Each type of algorithm leads to a decreasing sequence of objective function. New conditions on PMA are…

Numerical Analysis · Mathematics 2015-12-10 Charles L. Byrne , Jong Soo Lee

Investigation of the degree of personalization in federated learning algorithms has shown that only maximizing the performance of the global model will confine the capacity of the local models to personalize. In this paper, we advocate an…

Machine Learning · Computer Science 2020-11-09 Yuyang Deng , Mohammad Mahdi Kamani , Mehrdad Mahdavi

The objective of offline RL is to learn optimal policies when a fixed exploratory demonstrations data-set is available and sampling additional observations is impossible (typically if this operation is either costly or rises ethical…

Machine Learning · Computer Science 2021-06-10 Firas Jarboui , Vianney Perchet

Prediction+optimization is a common real-world paradigm where we have to predict problem parameters before solving the optimization problem. However, the criteria by which the prediction model is trained are often inconsistent with the goal…

Machine Learning · Computer Science 2021-11-23 Kai Yan , Jie Yan , Chuan Luo , Liting Chen , Qingwei Lin , Dongmei Zhang

Machine learning has become increasingly prevalent in football performance analysis, yet most studies prioritize predictive accuracy while implicitly assuming that learned performance determinants and their interpretations are transferable…

Artificial Intelligence · Computer Science 2026-05-12 Yu-Fang Tsai , Yu-Jen Chen , Kok-Hua Tan , Sheng-Chieh Huang , You-Ying Ji , Yu-Lun Chen , Chun-Yi Wang , Chien-Ming Hsu

This paper proposes a simple topological characterization of a large class of fair adversarial models via affine tasks: sub-complexes of the second iteration of the standard chromatic subdivision. We show that the task computability of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-20 Petr Kuznetsov , Thibault Rieutord , Yuan He

We study the properties of the constructive linear programing problems. The parameters of linear functions in such problems are constructive real numbers. To solve such a problem is to find the optimal plan with the constructive real number…

Optimization and Control · Mathematics 2024-04-24 Viktor Chernov , Vladimir Chernov

A basic requirement for a mathematical model is often that its solution (output) shouldn't change much if the model's parameters (input) are perturbed. This is important because the exact values of parameters may not be known and one would…

Optimization and Control · Mathematics 2021-08-09 Johannes O. Royset

Online-learning research has mainly been focusing on minimizing one objective function. In many real-world applications, however, several objective functions have to be considered simultaneously. Recently, an algorithm for dealing with…

Machine Learning · Computer Science 2017-03-21 Guy Uziel , Ran El-Yaniv

Offline reinforcement learning seeks to utilize offline (observational) data to guide the learning of (causal) sequential decision making strategies. The hope is that offline reinforcement learning coupled with function approximation…

Machine Learning · Computer Science 2020-10-23 Ruosong Wang , Dean P. Foster , Sham M. Kakade

Classifiers can be trained with data-dependent constraints to satisfy fairness goals, reduce churn, achieve a targeted false positive rate, or other policy goals. We study the generalization performance for such constrained optimization…

Machine Learning · Computer Science 2018-10-02 Andrew Cotter , Maya Gupta , Heinrich Jiang , Nathan Srebro , Karthik Sridharan , Serena Wang , Blake Woodworth , Seungil You

The problem of reinforcement learning is considered where the environment or the model undergoes a change. An algorithm is proposed that an agent can apply in such a problem to achieve the optimal long-time discounted reward. The algorithm…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Wuxia Chen , Taposh Banerjee , Jemin George , Carl Busart