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20212026
most citedBin Packing under Random-Order: Breaking the Barrier of 3/2

2 citations · 7 across the 14 of their papers we have counts for

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cs.LG2022

Mitigating Disparity while Maximizing Reward: Tight Anytime Guarantee for Improving Bandits

Vishakha Patil, Vineet Nair, Ganesh Ghalme +1

We study the Improving Multi-Armed Bandit (IMAB) problem, where the reward obtained from an arm increases with the number of pulls it receives. This model provides an elegant abstr…

cs.GT2022★ 1 cited

Finding Fair Allocations under Budget Constraints

Siddharth Barman, Arindam Khan, Sudarshan Shyam +1

We study the fair allocation of indivisible goods among agents with identical, additive valuations but individual budget constraints. Here, the indivisible goods--each with a speci…

cs.LG2022★ 1 cited

Fairness and Welfare Quantification for Regret in Multi-Armed Bandits

Siddharth Barman, Arindam Khan, Arnab Maiti +1

We extend the notion of regret with a welfarist perspective. Focussing on the classic multi-armed bandit (MAB) framework, the current work quantifies the performance of bandit algo…

cs.DS2022

Near-optimal Algorithms for Stochastic Online Bin Packing

Nikhil Ayyadevara, Rajni Dabas, Arindam Khan +1

We study the online bin packing problem under two stochastic settings. In the bin packing problem, we are given n items with sizes in (0,1] and the goal is to pack them into the mi…

cs.DS2022

Approximation Algorithms for ROUND-UFP and ROUND-SAP

Debajyoti Kar, Arindam Khan, Andreas Wiese

We study ROUND-UFP and ROUND-SAP, two generalizations of the classical BIN PACKING problem that correspond to the unsplittable flow problem on a path (UFP) and the storage allocati…

cs.DS2022

A PTAS for Packing Hypercubes into a Knapsack

Klaus Jansen, Arindam Khan, Marvin Lira +1

We study the d-dimensional hypercube knapsack problem where we are given a set of d-dimensional hypercubes with associated profits, and a knapsack which is a unit d-dimensional hyp…

cs.DS2022

Tight Approximation Algorithms for Two Dimensional Guillotine Strip Packing

Arindam Khan, Aditya Lonkar, Arnab Maiti +2

In the Strip Packing problem (SP), we are given a vertical half-strip and a set of axis-aligned rectangles of width at most . The goal is to find a n…