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- Anamitra R. Choudhury, Syamantak Das, Naveen Garg, Amit Kumar
- SODA
- 2015

Online algorithms are usually analyzed using the notion of competitive ratio which compares the solution obtained by the algorithm to that obtained by an online adversary for the worst possible input sequence. Often this measure turns out to be too pessimistic, and one popular approach especially for scheduling problems has been that of " resource… (More)

We describe a primal-dual framework for the design and analysis of online convex optimization algorithms for drifting regret. Existing literature shows (nearly) optimal drifting regret bounds only for the ℓ 2 and the ℓ 1-norms. Our work provides a connection between these algorithms and the Online Mirror Descent (OMD) updates; one key insight that results… (More)

- Anamitra R. Choudhury, Syamantak Das, Amit Kumar
- FSTTCS
- 2015

We consider the online scheduling problem to minimize the weighted p-norm of flow-time of jobs. We study this problem under the rejection model introduced by Choudhury et al. (SODA 2015) – here the online algorithm is allowed to not serve an ε-fraction of the requests. We consider the restricted assignments setting where each job can go to a specified… (More)

The Group Steiner Tree (GST) problem is a classical problem in combinatorial optimization and theoretical computer science. In the Edge-Weighted Group Steiner Tree (EW-GST) problem, we are given an undirected graph G = (V, E) on n vertices with edge costs c : E → R ≥0 , a source ver-tex s and a collection of subsets of vertices, called groups, Tree (NW-GST)… (More)

- Suman Kalyan Bera, Syamantak Das, Amit Kumar
- COCOON
- 2014

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