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08/16/2023
A Quantum Approximation Scheme for k-Means
We give a quantum approximation scheme (i.e., (1 + ε)-approximation for ...
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10/27/2021
Tight FPT Approximation for Constrained k-Center and k-Supplier
In this work, we study a range of constrained versions of the k-supplier...
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06/12/2021
FPT Approximation for Socially Fair Clustering
In this work, we study the socially fair k-median/k-means problem. We ar...
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11/09/2020
Hardness of Approximation of Euclidean k-Median
The Euclidean k-median problem is defined in the following manner: given...
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07/23/2020
FPT Approximation for Constrained Metric k-Median/Means
The Metric k-median problem over a metric space (𝒳, d) is defined as fol...
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09/25/2019
Streaming PTAS for Binary ℓ_0-Low Rank Approximation
We give a 3-pass, polylog-space streaming PTAS for the constrained binar...
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09/16/2019
Multiplicative Rank-1 Approximation using Length-Squared Sampling
We show that the span of Ω(1/ε^4) rows of any matrix A ⊂R^n × d sampled ...
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09/16/2019
Streaming PTAS for Constrained k-Means
We generalise the results of Bhattacharya et al. (Journal of Computing S...
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12/19/2017