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Related papers: Algorithmic Discrepancy Minimization

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This position paper argues that the theoretical inconsistency often observed among Responsible AI (RAI) metrics, such as differing fairness definitions or tradeoffs between accuracy and privacy, should be embraced as a valuable feature…

Artificial Intelligence · Computer Science 2025-10-31 Gordon Dai , Yunze Xiao

Algorithms are increasingly used to aid with high-stakes decision making. Yet, their predictive ability frequently exhibits systematic variation across population subgroups. To assess the trade-off between fairness and accuracy using finite…

Econometrics · Economics 2025-06-17 Yiqi Liu , Francesca Molinari

The vector-balancing problem is a fundamental problem in discrepancy theory: given T vectors in $[-1,1]^n$, find a signing $\sigma(a) \in \{\pm 1\}$ of each vector $a$ to minimize the discrepancy $\| \sum_{a} \sigma(a) \cdot a \|_{\infty}$.…

Data Structures and Algorithms · Computer Science 2021-11-12 Anupam Gupta , Vijaykrishna Gurunathan , Ravishankar Krishnaswamy , Amit Kumar , Sahil Singla

There is a significant gap between our theoretical understanding of optimization algorithms used in deep learning and their practical performance. Theoretical development usually focuses on proving convergence guarantees under a variety of…

Machine Learning · Computer Science 2025-11-03 Hoang Tran , Qinzi Zhang , Ashok Cutkosky

This paper is an attempt to set a justification for making use of some dicrepancy indexes, starting from the classical Maximum Likelihood definition, and adapting the corresponding basic principle of inference to situations where…

Statistics Theory · Mathematics 2021-02-24 Michel Broniatowski

The increasing prevalence of artificial agents creates a correspondingly increasing need to manage disagreements between humans and artificial agents, as well as between artificial agents themselves. Considering this larger space of…

Neurons and Cognition · Quantitative Biology 2023-10-23 Kerem Oktar , Ilia Sucholutsky , Tania Lombrozo , Thomas L. Griffiths

As the role of algorithmic systems and processes increases in society, so does the risk of bias, which can result in discrimination against individuals and social groups. Research on algorithmic bias has exploded in recent years,…

While algorithm audits are growing rapidly in commonality and public importance, relatively little scholarly work has gone toward synthesizing prior work and strategizing future research in the area. This systematic literature review aims…

Computers and Society · Computer Science 2021-02-09 Jack Bandy

While sensitivity analysis improves the transparency and reliability of mathematical models, its uptake by modelers is still scarce. This is partially explained by its technical requirements, which may be hard to understand and implement by…

Applications · Statistics 2023-03-20 Arnald Puy , Pamphile T. Roy , Andrea Saltelli

They run our lives, if you believe the hype in the news, but there is no precise definition of "algorithms" which is generally accepted by the mathematicians, logicians and computer scientists who create and study them. My main aims here…

Logic · Mathematics 2021-08-10 Yiannis N. Moschovakis

Algorithmic fairness has aroused considerable interests in data mining and machine learning communities recently. So far the existing research has been mostly focusing on the development of quantitative metrics to measure algorithm…

Machine Learning · Computer Science 2021-08-12 Weishen Pan , Sen Cui , Jiang Bian , Changshui Zhang , Fei Wang

In this paper we empirically evaluate biased methods for alpha-divergence minimization. In particular, we focus on how the bias affects the final solutions found, and how this depends on the dimensionality of the problem. We find that (i)…

Machine Learning · Computer Science 2021-05-17 Tomas Geffner , Justin Domke

Traditional approaches to ensure group fairness in algorithmic decision making aim to equalize ``total'' error rates for different subgroups in the population. In contrast, we argue that the fairness approaches should instead focus only on…

Machine Learning · Computer Science 2021-05-11 Junaid Ali , Preethi Lahoti , Krishna P. Gummadi

Fairness has become a crucial aspect in the development of trustworthy machine learning algorithms. Current fairness metrics to measure the violation of demographic parity have the following drawbacks: (i) the average difference of model…

Machine Learning · Computer Science 2024-06-06 Jinqiu Jin , Haoxuan Li , Fuli Feng

Dynamic graph algorithms have seen significant theoretical advancements, but practical evaluations often lag behind. This work bridges the gap between theory and practice by engineering and empirically evaluating recently developed…

Data Structures and Algorithms · Computer Science 2025-07-03 Ernestine Großmann , Ivor van der Hoog , Henrik Reinstädtler , Eva Rotenberg , Christian Schulz , Juliette Vlieghe

We introduce learning and planning algorithms for average-reward MDPs, including 1) the first general proven-convergent off-policy model-free control algorithm without reference states, 2) the first proven-convergent off-policy model-free…

Machine Learning · Computer Science 2021-06-29 Yi Wan , Abhishek Naik , Richard S. Sutton

The goal of this introductory survey is to present the major developments of algorithmic randomness with an eye toward its historical development. While two highly comprehensive books and one thorough survey article have been written on the…

Logic · Mathematics 2020-04-07 Johanna N. Y. Franklin , Christopher P. Porter

We investigate the construction of early stopping rules in the nonparametric regression problem where iterative learning algorithms are used and the optimal iteration number is unknown. More precisely, we study the discrepancy principle, as…

Statistics Theory · Mathematics 2020-04-21 Alain Celisse , Martin Wahl

In nearly every discipline, scientific computations are limited by the cost and speed of computation. For example, the best-known exact algorithms for the canonical Traveling Salesman Problem would take centuries to run on an instance of…

Data Structures and Algorithms · Computer Science 2026-05-04 Jeffery Li , Jayson Lynch , Liva Olina , Cecilia Chen , Andrew Lucas , Neil Thompson

We consider optimization algorithms that are open systems, that is, with external inputs and outputs. Such algorithms arise for instance, when analyzing the effect of noise or disturbance on an algorithm, or when an algorithm is part of…

Optimization and Control · Mathematics 2026-04-02 Jaap Eising , Florian Dörfler