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Binary decision making classifiers are not fair by default. Fairness requirements are an additional element to the decision making rationale, which is typically driven by maximizing some utility function. In that sense, algorithmic fairness…

Computers and Society · Computer Science 2022-06-07 Joachim Baumann , Anikó Hannák , Christoph Heitz

Affine rank minimization algorithms typically rely on calculating the gradient of a data error followed by a singular value decomposition at every iteration. Because these two steps are expensive, heuristic approximations are often used to…

Optimization and Control · Mathematics 2013-06-04 Stephen Becker , Volkan Cevher , Anastasios Kyrillidis

Multi-label classification (MLC) often suffers from performance disparities across labels. We propose \textbf{FairPO}, a framework combining preference-based loss and group-robust optimization to improve fairness by targeting…

Machine Learning · Computer Science 2025-12-01 Soumen Kumar Mondal , Prateek Chanda , Akshit Varmora , Ganesh Ramakrishnan

We consider the problem of principal component analysis (PCA) in the presence of outliers. Given a matrix $A$ ($d \times n$) and parameters $k, m$, the goal is to remove a set of at most $m$ columns of $A$ (known as outliers), so as to…

Data Structures and Algorithms · Computer Science 2018-05-14 Aditya Bhaskara , Srivatsan Kumar

Mitigating the disparate impact of statistical machine learning methods is crucial for ensuring fairness. While extensive research aims to reduce disparity, the effect of using a \emph{finite dataset} -- as opposed to the entire population…

Machine Learning · Statistics 2024-03-28 Xianli Zeng , Guang Cheng , Edgar Dobriban

We consider a discrete optimization formulation for learning sparse classifiers, where the outcome depends upon a linear combination of a small subset of features. Recent work has shown that mixed integer programming (MIP) can be used to…

Machine Learning · Statistics 2021-06-08 Antoine Dedieu , Hussein Hazimeh , Rahul Mazumder

Learning to rank has recently emerged as an attractive technique to train deep convolutional neural networks for various computer vision tasks. Pairwise ranking, in particular, has been successful in multi-label image classification,…

Computer Vision and Pattern Recognition · Computer Science 2017-06-02 Yuncheng Li , Yale Song , Jiebo Luo

Matrix completion aims to recover an unknown low-rank matrix from a small subset of its entries. In many applications, the rank of the unknown target matrix is known in advance. In this paper, first we revisit a recently proposed rank-based…

Optimization and Control · Mathematics 2024-06-11 Tacildo de Souza Araújo , Douglas S. Gonçalves , Cristiano Torezzan

Algorithmic fairness has been a serious concern and received lots of interest in machine learning community. In this paper, we focus on the bipartite ranking scenario, where the instances come from either the positive or negative class and…

Machine Learning · Computer Science 2023-07-28 Sen Cui , Weishen Pan , Changshui Zhang , Fei Wang

We investigate the fundamental optimization question of minimizing a target function $f$, whose gradients are expensive to compute or have limited availability, given access to some auxiliary side function $h$ whose gradients are cheap or…

Machine Learning · Computer Science 2025-12-19 El Mahdi Chayti , Sai Praneeth Karimireddy

We study worst-case guarantees on the expected return of fixed-dataset policy optimization algorithms. Our core contribution is a unified conceptual and mathematical framework for the study of algorithms in this regime. This analysis…

Artificial Intelligence · Computer Science 2020-12-01 Jacob Buckman , Carles Gelada , Marc G. Bellemare

We prove two lower bounds for the complexity of non-log-concave sampling within the framework of Balasubramanian et al. (2022), who introduced the use of Fisher information (FI) bounds as a notion of approximate first-order stationarity in…

Machine Learning · Statistics 2022-10-07 Sinho Chewi , Patrik Gerber , Holden Lee , Chen Lu

Asadpour, Feige, and Saberi proved that the integrality gap of the configuration LP for the restricted max-min allocation problem is at most $4$. However, their proof does not give a polynomial-time approximation algorithm. A lot of efforts…

Data Structures and Algorithms · Computer Science 2019-05-16 Siu-Wing Cheng , Yuchen Mao

The era of Big Data has spawned unprecedented interests in developing hashing algorithms for efficient storage and fast nearest neighbor search. Most existing work learn hash functions that are numeric quantizations of feature values in…

Machine Learning · Computer Science 2015-03-23 Kai Li , Guojun Qi , Jun Ye , Kien A. Hua

Black-box policy optimization is a class of reinforcement learning algorithms that explores and updates the policies at the parameter level. This class of algorithms is widely applied in robotics with movement primitives or…

Machine Learning · Computer Science 2022-03-22 Marius Memmel , Puze Liu , Davide Tateo , Jan Peters

Computing the dominant eigenvalue is important in nuclear systems as it determines the stability of the system (i.e. whether the system is sub or supercritical). Recently, the work of Kusch, Whewell, McClarren and Frank \cite{KWMF} showed…

Numerical Analysis · Mathematics 2024-09-24 C. Scalone , L. Einkemmer , J. Kusch , R. J. McClarren

This paper studies the problem of inferring a global preference based on the partial rankings provided by many users over different subsets of items according to the Plackett-Luce model. A question of particular interest is how to optimally…

Machine Learning · Statistics 2014-06-24 Bruce Hajek , Sewoong Oh , Jiaming Xu

Statistical algorithms are usually helping in making decisions in many aspects of our lives. But, how do we know if these algorithms are biased and commit unfair discrimination of a particular group of people, typically a minority?…

Statistics Theory · Mathematics 2018-07-19 Eustasio del Barrio , Fabrice Gamboa , Paula Gordaliza , Jean-Michel Loubes

We develop a novel approach to conformal prediction when the target task has limited data available for training. Conformal prediction identifies a small set of promising output candidates in place of a single prediction, with guarantees…

Machine Learning · Computer Science 2021-07-21 Adam Fisch , Tal Schuster , Tommi Jaakkola , Regina Barzilay

We consider the problem of ranking a set of items from pairwise comparisons in the presence of features associated with the items. Recent works have established that $O(n\log(n))$ samples are needed to rank well when there is no feature…

Machine Learning · Computer Science 2021-02-10 Aadirupa Saha , Arun Rajkumar