no code implementations • 10 May 2023 • Kota Srinivas Reddy, P. N. Karthik, Nikhil Karamchandani, Jayakrishnan Nair
The pulled arm and its instantaneous reward are revealed to the learner, whose goal is to find the best arm by minimising the expected stopping time, subject to an upper bound on the error probability.
no code implementations • 30 Apr 2023 • Fathima Zarin Faizal, Adway Girish, Manjesh Kumar Hanawal, Nikhil Karamchandani
We study the problem of best-arm identification in a distributed variant of the multi-armed bandit setting, with a central learner and multiple agents.
no code implementations • 13 Mar 2023 • R Sri Prakash, Nikhil Karamchandani, Sharayu Moharir
The total cost incurred by the system is modeled as a combination of the rent cost, the service cost incurred due to latency in serving customers, and the fetch cost incurred as a result of the bandwidth used to fetch the code/databases of the service from the cloud servers to host the service at the edge.
no code implementations • 16 Nov 2021 • Shubham Anand Jain, Shreyas Goenka, Divyam Bapna, Nikhil Karamchandani, Jayakrishnan Nair
We propose and analyse novel algorithms for this problem, and also establish information theoretic lower bounds on the probability of error under any algorithm.
no code implementations • 28 Feb 2021 • V S Ch Lakshmi Narayana, Mohit Agarwala, Nikhil Karamchandani, Sharayu Moharir
We propose an online policy called $\alpha$-RetroRenting ($\alpha$-RR) which dynamically determines the fraction of the service to be hosted at the edge in any time-slot, based on the history of the request arrivals and the rent cost sequence.
Edge-computing Networking and Internet Architecture
no code implementations • 18 Jan 2021 • Chinmay Gurjarpadhye, Jithin Ravi, Sneha Kamath, Bikash Kumar Dey, Nikhil Karamchandani
The memory-rate trade-off achieved using our schemes is shown to be within a multiplicative factor of 3 from the optimal when $K < N$ and of 8 when $N\leq K$.
Information Theory Information Theory
no code implementations • 3 Nov 2020 • Neharika Jali, Nikhil Karamchandani, Sharayu Moharir
We study a variant of the canonical k-center problem over a set of vertices in a metric space, where the underlying distances are apriori unknown.
no code implementations • 26 Oct 2020 • Anirudh Singhal, Subham Pirojiwala, Nikhil Karamchandani
Motivated by the mode estimation problem of an unknown multivariate probability density function, we study the problem of identifying the point with the minimum k-th nearest neighbor distance for a given dataset of n points.
no code implementations • 29 May 2020 • Sahasrajit Sarmasarkar, Kota Srinivas Reddy, Nikhil Karamchandani
We consider the problem of identifying the subset $\mathcal{S}^{\gamma}_{\mathcal{P}}$ of elements in the support of an underlying distribution $\mathcal{P}$ whose probability value is larger than a given threshold $\gamma$, by actively querying an oracle to gain information about a sequence $X_1, X_2, \ldots$ of $i. i. d.$ samples drawn from $\mathcal{P}$.
no code implementations • 19 Nov 2019 • Dhruti Shah, Tuhinangshu Choudhury, Nikhil Karamchandani, Aditya Gopalan
We consider the problem of adaptively PAC-learning a probability distribution $\mathcal{P}$'s mode by querying an oracle for information about a sequence of i. i. d.
no code implementations • 4 Sep 2019 • Kota Srinivas Reddy, Nikhil Karamchandani
We study a multi-access variant of the popular coded caching framework, which consists of a central server with a catalog of $N$ files, $K$ caches with limited memory $M$, and $K$ users such that each user has access to $L$ consecutive caches with a cyclic wrap-around and requests one file from the central server's catalog.
no code implementations • 23 Mar 2018 • Rahul Meshram, D. Manjunath, Nikhil Karamchandani
Many of these are based on learning algorithms where the RS uses the recommendation history and the user response to learn an optimal strategy.
no code implementations • 9 May 2016 • Vivek S. Borkar, Nikhil Karamchandani, Sharad Mirani
We revisit the problem of inferring the overall ranking among entities in the framework of Bradley-Terry-Luce (BTL) model, based on available empirical data on pairwise preferences.