Search Results for author: Ali Vakilian

Found 21 papers, 3 papers with code

(Individual) Fairness for k-Clustering

no code implementations ICML 2020 Sepideh Mahabadi, Ali Vakilian

Intuitively, if a set of $k$ random points are chosen from $P$ as centers, every point $x\in P$ expects to have a center within radius $r(x)$.

Clustering Fairness

Scalable Algorithms for Individual Preference Stable Clustering

no code implementations15 Mar 2024 Ron Mosenzon, Ali Vakilian

In this paper, we study the natural local search algorithm for IP stable clustering.

Clustering Fairness

Learning-Based Algorithms for Graph Searching Problems

no code implementations27 Feb 2024 Adela Frances DePavia, Erasmo Tani, Ali Vakilian

Finally, we provide alternative simpler performance bounds on the algorithms of Banerjee et al. (2022) for the case of searching on a known graph, and establish new lower bounds for this setting.

Bayesian Strategic Classification

no code implementations13 Feb 2024 Lee Cohen, Saeed Sharifi-Malvajerdi, Kevin Stangl, Ali Vakilian, Juba Ziani

We initiate the study of partial information release by the learner in strategic classification.

Classification

Improved Frequency Estimation Algorithms with and without Predictions

no code implementations NeurIPS 2023 Anders Aamand, Justin Y. Chen, Huy Lê Nguyen, Sandeep Silwal, Ali Vakilian

In particular, their learning-augmented frequency estimation algorithm uses a learned heavy-hitter oracle which predicts which elements will appear many times in the stream.

Learning the Positions in CountSketch

no code implementations11 Jun 2023 Yi Li, Honghao Lin, Simin Liu, Ali Vakilian, David P. Woodruff

We fix this issue and propose approaches for learning a sketching matrix for both low-rank approximation and Hessian approximation for second order optimization.

Approximation Algorithms for Fair Range Clustering

no code implementations11 Jun 2023 Sèdjro S. Hotegni, Sepideh Mahabadi, Ali Vakilian

This paper studies the fair range clustering problem in which the data points are from different demographic groups and the goal is to pick $k$ centers with the minimum clustering cost such that each group is at least minimally represented in the centers set and no group dominates the centers set.

Clustering

Sequential Strategic Screening

no code implementations31 Jan 2023 Lee Cohen, Saeed Sharifi-Malvajerdi, Kevin Stangl, Ali Vakilian, Juba Ziani

We initiate the study of strategic behavior in screening processes with multiple classifiers.

Individual Preference Stability for Clustering

1 code implementation7 Jul 2022 Saba Ahmadi, Pranjal Awasthi, Samir Khuller, Matthäus Kleindessner, Jamie Morgenstern, Pattara Sukprasert, Ali Vakilian

In this paper, we propose a natural notion of individual preference (IP) stability for clustering, which asks that every data point, on average, is closer to the points in its own cluster than to the points in any other cluster.

Clustering Fairness

Multi Stage Screening: Enforcing Fairness and Maximizing Efficiency in a Pre-Existing Pipeline

no code implementations14 Mar 2022 Avrim Blum, Kevin Stangl, Ali Vakilian

Even if the firm is required to interview all of those who pass the final round, the tests themselves could have the property that qualified individuals from some groups pass more easily than qualified individuals from others.

Fairness

Fair Representation Clustering with Several Protected Classes

no code implementations3 Feb 2022 Zhen Dai, Yury Makarychev, Ali Vakilian

For this special case, we present an $O(\log k)$-approximation algorithm that runs in $(kf)^{O(\ell)}\log n + poly(n)$ time.

Clustering Fairness

Approximating Fair Clustering with Cascaded Norm Objectives

no code implementations8 Nov 2021 Eden Chlamtáč, Yury Makarychev, Ali Vakilian

We utilize convex programming techniques to approximate the $(p, q)$-Fair Clustering problem for different values of $p$ and $q$.

Clustering

Improved Approximation Algorithms for Individually Fair Clustering

no code implementations26 Jun 2021 Ali Vakilian, Mustafa Yalçıner

Moreover, for $p=1$ ($k$-median) and $p=\infty$ ($k$-center), we present improved cost-approximation factors $7. 081+\varepsilon$ and $3+\varepsilon$ respectively.

Clustering Fairness

Approximation Algorithms for Socially Fair Clustering

no code implementations3 Mar 2021 Yury Makarychev, Ali Vakilian

In order to obtain our result, we introduce a strengthened LP relaxation and show that it has an integrality gap of $\Theta(\frac{\log \ell}{\log\log\ell})$ for a fixed $p$.

Clustering

A framework for learned sparse sketches

no code implementations1 Jan 2021 Simin Liu, Tianrui Liu, Ali Vakilian, Yulin Wan, David Woodruff

In this work, we consider the problem of optimizing sketches to obtain low approximation error over a data distribution.

Clustering regression

Learning the Positions in CountSketch

no code implementations20 Jul 2020 Simin Liu, Tianrui Liu, Ali Vakilian, Yulin Wan, David P. Woodruff

Despite the growing body of work on this paradigm, a noticeable omission is that the locations of the non-zero entries of previous algorithms were fixed, and only their values were learned.

Clustering

Individual Fairness for $k$-Clustering

1 code implementation17 Feb 2020 Sepideh Mahabadi, Ali Vakilian

Intuitively, if a set of $k$ random points are chosen from $P$ as centers, every point $x\in P$ expects to have a center within radius $r(x)$.

Clustering Fairness

Learning-Based Low-Rank Approximations

no code implementations NeurIPS 2019 Piotr Indyk, Ali Vakilian, Yang Yuan

Our experiments show that, for multiple types of data sets, a learned sketch matrix can substantially reduce the approximation loss compared to a random matrix $S$, sometimes by one order of magnitude.

Generalization Bounds

Sample-Optimal Low-Rank Approximation of Distance Matrices

no code implementations2 Jun 2019 Piotr Indyk, Ali Vakilian, Tal Wagner, David Woodruff

Recent work by Bakshi and Woodruff (NeurIPS 2018) showed it is possible to compute a rank-$k$ approximation of a distance matrix in time $O((n+m)^{1+\gamma}) \cdot \mathrm{poly}(k, 1/\epsilon)$, where $\epsilon>0$ is an error parameter and $\gamma>0$ is an arbitrarily small constant.

Handwriting Recognition

Learning-Based Frequency Estimation Algorithms

no code implementations ICLR 2019 Chen-Yu Hsu, Piotr Indyk, Dina Katabi, Ali Vakilian

Estimating the frequencies of elements in a data stream is a fundamental task in data analysis and machine learning.

BIG-bench Machine Learning

Scalable Fair Clustering

1 code implementation10 Feb 2019 Arturs Backurs, Piotr Indyk, Krzysztof Onak, Baruch Schieber, Ali Vakilian, Tal Wagner

In the fair variant of $k$-median, the points are colored, and the goal is to minimize the same average distance objective while ensuring that all clusters have an "approximately equal" number of points of each color.

Clustering Fairness

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