Search Results for author: Nikhil Karamchandani

Found 13 papers, 0 papers with code

Best Arm Identification in Bandits with Limited Precision Sampling

no code implementations10 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.

ICQ: A Quantization Scheme for Best-Arm Identification Over Bit-Constrained Channels

no code implementations30 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.

Quantization

On the Regret of Online Edge Service Hosting

no code implementations13 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.

Sequential Community Mode Estimation

no code implementations16 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.

Online Partial Service Hosting at the Edge

no code implementations28 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

Fundamental Limits of Demand-Private Coded Caching

no code implementations18 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

Greedy k-Center from Noisy Distance Samples

no code implementations3 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.

Thompson Sampling

Query Complexity of k-NN based Mode Estimation

no code implementations26 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.

Query complexity of heavy hitter estimation

no code implementations29 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 $\mathcal{P}$.

Sequential Mode Estimation with Oracle Queries

no code implementations19 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.

PAC learning

Rate-Memory Trade-off for Multi-access Coded Caching with Uncoded Placement

no code implementations4 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.

Learning Recommendations While Influencing Interests

no code implementations23 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.

Recommendation Systems

Randomized Kaczmarz for Rank Aggregation from Pairwise Comparisons

no code implementations9 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.

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