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We study the problem of computationally efficient proper agnostic learning of multidimensional concept classes under the Gaussian distribution. In this setting, given i.i.d. labeled samples from an unknown distribution over $\mathbb{R}^d…

Data Structures and Algorithms · Computer Science 2026-05-28 Sergei Tikhonov , Arsen Vasilyan

Algebraic Subspace Clustering (ASC) is a simple and elegant method based on polynomial fitting and differentiation for clustering noiseless data drawn from an arbitrary union of subspaces. In practice, however, ASC is limited to…

Computer Vision and Pattern Recognition · Computer Science 2015-10-16 Manolis C. Tsakiris , Rene Vidal

Privacy-preserving AI algorithms are widely adopted in various domains, but the lack of transparency might pose accountability issues. While auditing algorithms can address this issue, machine-based audit approaches are often costly and…

Cryptography and Security · Computer Science 2024-04-26 Ya-Ting Yang , Tao Zhang , Quanyan Zhu

In this paper we give a polynomial-time quantum algorithm for computing orders of solvable groups. Several other problems, such as testing membership in solvable groups, testing equality of subgroups in a given solvable group, and testing…

Quantum Physics · Physics 2007-05-23 John Watrous

Although deep learning has demonstrated astonishing performance in many applications, there are still concerns about its dependability. One desirable property of deep learning applications with societal impact is fairness (i.e.,…

Machine Learning · Computer Science 2021-07-30 Peixin Zhang , Jingyi Wang , Jun Sun , Xinyu Wang , Guoliang Dong , Xingen Wang , Ting Dai , Jin Song Dong

In this work, we present Fairness Aware Counterfactuals for Subgroups (FACTS), a framework for auditing subgroup fairness through counterfactual explanations. We start with revisiting (and generalizing) existing notions and introducing new,…

No polynomial-time algorithm is known to test whether a sparse polynomial G divides another sparse polynomial $F$. While computing the quotient Q=F quo G can be done in polynomial time with respect to the sparsities of F, G and Q, this is…

Symbolic Computation · Computer Science 2021-07-21 Pascal Giorgi , Bruno Grenet , Armelle Perret du Cray

We study a novel problem of fairness in ranking aimed at minimizing the amount of individual unfairness introduced when enforcing group-fairness constraints. Our proposal is rooted in the distributional maxmin fairness theory, which uses…

Machine Learning · Computer Science 2021-06-18 David Garcia-Soriano , Francesco Bonchi

The issue of fairness in machine learning models has recently attracted a lot of attention as ensuring it will ensure continued confidence of the general public in the deployment of machine learning systems. We focus on mitigating the harm…

Machine Learning · Statistics 2021-02-24 Thomas Kehrenberg , Zexun Chen , Novi Quadrianto

We revisit the problem of distribution learning within the framework of learning-augmented algorithms. In this setting, we explore the scenario where a probability distribution is provided as potentially inaccurate advice on the true,…

Machine Learning · Computer Science 2025-02-03 Arnab Bhattacharyya , Davin Choo , Philips George John , Themis Gouleakis

Center-based clustering (e.g., $k$-means, $k$-medians) and clustering using linear subspaces are two most popular techniques to partition real-world data into smaller clusters. However, when the data consists of sensitive demographic…

Machine Learning · Computer Science 2022-08-23 Sruthi Gorantla , Kishen N. Gowda , Amit Deshpande , Anand Louis

A growing specter in the rise of machine learning is whether the decisions made by machine learning models are fair. While research is already underway to formalize a machine-learning concept of fairness and to design frameworks for…

Machine Learning · Computer Science 2020-09-28 Tao Zhang , Tianqing Zhu , Jing Li , Mengde Han , Wanlei Zhou , Philip S. Yu

In centralized mechanisms and platforms, participants do not fully observe each others' type reports. Hence, if there is a deviation from the promised mechanism, participants may be unable to detect it. We formalize a notion of auditabilty…

Theoretical Economics · Economics 2024-05-20 Aram Grigoryan , Markus Möller

We study several questions in the reliable agnostic learning framework of Kalai et al. (2009), which captures learning tasks in which one type of error is costlier than others. A positive reliable classifier is one that makes no false…

Machine Learning · Computer Science 2014-02-25 Varun Kanade , Justin Thaler

We study the problem of agnostic learning under the Gaussian distribution. We develop a method for finding hard families of examples for a wide class of problems by using LP duality. For Boolean-valued concept classes, we show that the…

Machine Learning · Computer Science 2021-02-09 Ilias Diakonikolas , Daniel M. Kane , Thanasis Pittas , Nikos Zarifis

As AI-based systems increasingly impact many areas of our lives, auditing these systems for fairness is an increasingly high-stakes problem. Traditional group fairness metrics can miss discrimination against individuals and are difficult to…

Machine Learning · Computer Science 2022-02-10 Krystal Maughan , Ivoline C. Ngong , Joseph P. Near

With the increased use of machine learning systems for decision making, questions about the fairness properties of such systems start to take center stage. Most existing work on algorithmic fairness assume complete observation of features…

Machine Learning · Computer Science 2022-12-06 Nikil Roashan Selvam , Guy Van den Broeck , YooJung Choi

Algorithmic fairness literature presents numerous mathematical notions and metrics, and also points to a tradeoff between them while satisficing some or all of them simultaneously. Furthermore, the contextual nature of fairness notions…

Human-Computer Interaction · Computer Science 2022-02-17 Mukund Telukunta , Venkata Sriram Siddhardh Nadendla

Fairness-aware learning involves designing algorithms that do not discriminate with respect to some sensitive feature (e.g., race or gender). Existing work on the problem operates under the assumption that the sensitive feature available in…

Machine Learning · Computer Science 2020-01-10 Alexandre Louis Lamy , Ziyuan Zhong , Aditya Krishna Menon , Nakul Verma

This work represents a natural coalescence of two important lines of work: learning mixtures of Gaussians and algorithmic robust statistics. In particular we give the first provably robust algorithm for learning mixtures of any constant…

Data Structures and Algorithms · Computer Science 2021-07-27 Allen Liu , Ankur Moitra