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We study the proportional clustering problem of Chen et al. [ICML'19] and relate it to the area of multiwinner voting in computational social choice. We show that any clustering satisfying a weak proportionality notion of Brill and Peters…

机器学习 · 计算机科学 2024-05-27 Leon Kellerhals , Jannik Peters

We show that many machine learning goals, such as improved fairness metrics, can be expressed as constraints on the model's predictions, which we call rate constraints. We study the problem of training non-convex models subject to these…

机器学习 · 计算机科学 2018-09-13 Andrew Cotter , Heinrich Jiang , Serena Wang , Taman Narayan , Maya Gupta , Seungil You , Karthik Sridharan

In many applications such as rationing medical care and supplies, university admissions, and the assignment of public housing, the decision of who receives an allocation can be justified by various normative criteria. Such settings have…

计算机科学与博弈论 · 计算机科学 2023-05-30 Siddhartha Banerjee , Matthew Eichhorn , David Kempe

A novel matrix approximation problem is considered herein: observations based on a few fully sampled columns and quasi-polynomial structural side information are exploited. The framework is motivated by quantum chemistry problems wherein…

信号处理 · 电气工程与系统科学 2023-05-23 Jeongmin Chae , Praneeth Narayanamurthy , Selin Bac , Shaama Mallikarjun Sharada , Urbashi Mitra

In planning problems, it is often challenging to fully model the desired specifications. In particular, in human-robot interaction, such difficulty may arise due to human's preferences that are either private or complex to model.…

机器人学 · 计算机科学 2021-01-01 Mahsa Ghasemi , Evan Scope Crafts , Bo Zhao , Ufuk Topcu

We study a general stochastic ranking problem where an algorithm needs to adaptively select a sequence of elements so as to "cover" a random scenario (drawn from a known distribution) at minimum expected cost. The coverage of each scenario…

数据结构与算法 · 计算机科学 2019-02-06 Fatemeh Navidi , Prabhanjan Kambadur , Viswanath Nagarajan

We study the computational complexity of committee selection problem for several approval-based voting rules in the presence of outliers. Our first result shows that outlier consideration makes committee selection problem intractable for…

多智能体系统 · 计算机科学 2015-11-16 Palash Dey , Neeldhara Misra , Y. Narahari

We analyze the performance of the Borda counting algorithm in a non-parametric model. The algorithm needs to utilize probabilistic rankings of the items within $m$-sized subsets to accurately determine which items are the overall top-$k$…

数据结构与算法 · 计算机科学 2022-05-25 Wenjing Chen , Ruida Zhou , Chao Tian , Cong Shen

The problem of column subset selection has recently attracted a large body of research, with feature selection serving as one obvious and important application. Among the techniques that have been applied to solve this problem, the greedy…

数据结构与算法 · 计算机科学 2021-11-16 Jason Altschuler , Aditya Bhaskara , Gang Fu , Vahab Mirrokni , Afshin Rostamizadeh , Morteza Zadimoghaddam

Greedy algorithms are widely used for problems in machine learning such as feature selection and set function optimization. Unfortunately, for large datasets, the running time of even greedy algorithms can be quite high. This is because for…

机器学习 · 统计学 2017-03-09 Rajiv Khanna , Ethan Elenberg , Alexandros G. Dimakis , Sahand Negahban , Joydeep Ghosh

We present a number of positive and negative results for variants of the matroid secretary problem. Most notably, we design a constant-factor competitive algorithm for the "random assignment" model where the weights are assigned randomly to…

数据结构与算法 · 计算机科学 2011-12-13 Shayan Oveis Gharan , Jan Vondrák

We investigate the problem of fairly allocating indivisible goods among interested agents using the concept of maximin share. Procaccia and Wang showed that while an allocation that gives every agent at least her maximin share does not…

计算机科学与博弈论 · 计算机科学 2018-04-19 Warut Suksompong

In this paper we consider clustering problems in which each point is endowed with a color. The goal is to cluster the points to minimize the classical clustering cost but with the additional constraint that no color is over-represented in…

数据结构与算法 · 计算机科学 2019-05-31 Sara Ahmadian , Alessandro Epasto , Ravi Kumar , Mohammad Mahdian

We initiate the study of centralized algorithms for welfare-maximizing allocation of goods to buyers subject to average-value constraints. We show that this problem is NP-hard to approximate beyond a factor of $\frac{e}{e-1}$, and provide a…

数据结构与算法 · 计算机科学 2025-09-09 Kshipra Bhawalkar , Zhe Feng , Anupam Gupta , Aranyak Mehta , David Wajc , Di Wang

We consider finite horizon Markov decision processes under performance measures that involve both the mean and the variance of the cumulative reward. We show that either randomized or history-based policies can improve performance. We prove…

机器学习 · 计算机科学 2011-05-02 Shie Mannor , John Tsitsiklis

We consider the optimization problem of a multi-resource, multi-unit VCG auction that produces an optimal, i.e., non-approximated, social welfare. We present an algorithm that solves this optimization problem with pseudo-polynomial…

计算机科学与博弈论 · 计算机科学 2019-05-23 Liran Funaro , Orna Agmon Ben-Yehuda , Assaf Schuster

We present a novel approach to the core set/instance selection problem in machine learning. Our approach is based on recent results on (proportional) representation in approval-based multi-winner elections. In our model, instances play a…

机器学习 · 计算机科学 2025-12-15 Luis Sánchez-Fernández , Jesús A. Fisteus , Rafael López-Zaragoza

We consider the problem of predicting winners in elections, for the case where we are given complete knowledge about all possible candidates, all possible voters (together with their preferences), but where it is uncertain either which…

计算机科学与博弈论 · 计算机科学 2016-03-27 Krzysztof Wojtas , Krzysztof Magiera , Tomasz Miąsko , Piotr Faliszewski

Issue salience is a major determinant in voters' decisions. Candidates and political parties campaign to shift salience to their advantage - a process termed priming. We study the dynamics, strategies and equilibria of campaign spending for…

计算机科学与博弈论 · 计算机科学 2024-12-30 Jonathan Shaki , Yonatan Aumann , Sarit Kraus

Given a linear dynamical system affected by stochastic noise, we consider the problem of selecting an optimal set of sensors (at design-time) to minimize the trace of the steady state a priori or a posteriori error covariance of the Kalman…

最优化与控制 · 数学 2020-07-13 Lintao Ye , Nathaniel Woodford , Sandip Roy , Shreyas Sundaram