Search Results - "Sen, Sayantan"
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A (simple) classical algorithm for estimating Betti numbers
Published in Quantum (Vienna, Austria) (2023)“…We describe a simple algorithm for estimating the k -th normalized Betti number of a simplicial complex over n elements using the path integral Monte Carlo…”
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A comparative study of norethisterone and combined oral contraceptive pill in the treatment of dysfunctional uterine bleeding
Published in Chrismed journal of health and research (01-04-2019)“…Background: A significant percentage of women in India suffer from dysfunctional uterine bleeding (DUB), which has a negative impact on physical and social…”
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Exploring the Gap between Tolerant and Non-tolerant Distribution Testing
Published in IEEE transactions on information theory (20-10-2024)“…The framework of distribution testing is currently ubiquitous in the field of property testing. In this model, the input is a probability distribution…”
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Efficient Sample-optimal Learning of Gaussian Tree Models via Sample-optimal Testing of Gaussian Mutual Information
Published 18-11-2024“…Learning high-dimensional distributions is a significant challenge in machine learning and statistics. Classical research has mostly concentrated on asymptotic…”
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Verilog Modeling of 24 Bit Stereo DAC Using Multibit SDM
Published in 2020 IEEE VLSI DEVICE CIRCUIT AND SYSTEM (VLSI DCS) (01-07-2020)“…A 24-bit 96kHz sampling rate DAC (Digital-to-Analog Converter) achieves 106dB Dynamic Range. A 3 rd order 6bit ∑-∆ modulator is included (SDM). To reduce the…”
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Conference Proceeding -
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Quantum property testing in sparse directed graphs
Published 07-10-2024“…We initiate the study of quantum property testing in sparse directed graphs, and more particularly in the unidirectional model, where the algorithm is allowed…”
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Near Uniform Triangle Sampling Over Adjacency List Graph Streams
Published 16-05-2024“…Triangle counting and sampling are two fundamental problems for streaming algorithms. Arguably, designing sampling algorithms is more challenging than their…”
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Testing Self-Reducible Samplers
Published 18-12-2023“…Samplers are the backbone of the implementations of any randomised algorithm. Unfortunately, obtaining an efficient algorithm to test the correctness of…”
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A (simple) classical algorithm for estimating Betti numbers
Published 05-12-2023“…Quantum 7, 1202 (2023) We describe a simple algorithm for estimating the $k$-th normalized Betti number of a simplicial complex over $n$ elements using the…”
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10
Distribution Learning Meets Graph Structure Sampling
Published 13-05-2024“…This work establishes a novel link between the problem of PAC-learning high-dimensional graphical models and the task of (efficient) counting and sampling of…”
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Testing of Index-Invariant Properties in the Huge Object Model
Published 25-07-2022“…The study of distribution testing has become ubiquitous in the area of property testing, both for its theoretical appeal, as well as for its applications in…”
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Tolerant Bipartiteness Testing in Dense Graphs
Published 26-04-2022“…Bipartite testing has been a central problem in the area of property testing since its inception in the seminal work of Goldreich, Goldwasser and Ron [FOCS'96…”
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Journal Article -
13
Exploring the Gap between Tolerant and Non-tolerant Distribution Testing
Published 19-10-2021“…The framework of distribution testing is currently ubiquitous in the field of property testing. In this model, the input is a probability distribution…”
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Journal Article -
14
A Faster Algorithm for Max Cut in Dense Graphs
Published 09-10-2021“…We design an algorithm for approximating the size of \emph{Max Cut} in dense graphs. Given a proximity parameter $\varepsilon \in (0,1)$, our algorithm…”
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