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pro vyhledávání: '"Dutta, Kunal"'
In this work, we propose a novel dimensionality reduction technique, DiffRed, which first projects the data matrix, A, along first $k_1$ principal components and the residual matrix $A^{*}$ (left after subtracting its $k_1$-rank approximation) along
Externí odkaz:
http://arxiv.org/abs/2403.05882
Spin-orbit coupled electronic structure of two representative non-polar half-Heusler alloys, namely 18 electron compound CoZrBi and 8 electron compound SiLiIn have been studied in details. An excursion through the Brillouin zone of these alloys from
Externí odkaz:
http://arxiv.org/abs/2308.03760
The \emph{strong collapse} of a simplicial complex, proposed by Barmak and Minian (\emph{Disc. Comp. Geom. 2012}), is a combinatorial collapse of a complex onto its sub-complex. Recently, it has received attention from computational topology research
Externí odkaz:
http://arxiv.org/abs/2301.03514
Autor:
Dutta, Kunal, Ghosh, Arijit
We investigate the combinatorial discrepancy of geometric set systems having bounded shallow cell complexity in the \emph{Beck-Fiala} setting, where each point belongs to at most $t$ ranges. For set systems with shallow cell complexity $\psi(m,k)=g(m
Externí odkaz:
http://arxiv.org/abs/2301.03329
Autor:
Boissonnat, Jean-Daniel, Dutta, Kunal
Computing persistent homology using Gaussian kernels is useful in the domains of topological data analysis and machine learning as shown by Phillips, Wang and Zheng [SoCG 2015]. However, contrary to the case of computing persistent homology using the
Externí odkaz:
http://arxiv.org/abs/2301.03321
Autor:
Ashikhmina, Mariia S., Zenkin, Artemii M., Pantiukhin, Igor S., Litvak, Igor G., Nesterov, Pavel V., Dutta, Kunal, Shityakov, Sergey, Nosonovsky, Michael, Korablev-Dyson, Maxim A., Orlova, Olga Y., Ulasevich, Sviatlana A., Skorb, Ekaterina V.
Publikováno v:
In Food Bioscience December 2024 62
We study the connections between three seemingly different combinatorial structures - "uniform" brackets in statistics and probability theory, "containers" in online and distributed learning theory, and "combinatorial Macbeath regions", or Mnets in d
Externí odkaz:
http://arxiv.org/abs/2111.10048
Given a set P of n points and a constant k, we are interested in computing the persistent homology of the Cech filtration of P for the k-distance, and investigate the effectiveness of dimensionality reduction for this problem, answering an open quest
Externí odkaz:
http://arxiv.org/abs/2110.05897
Autor:
Dutta, Kunal
Tusn\'ady's problem asks to bound the discrepancy of points and axis-parallel boxes in $\mathbb{R}^d$. Algorithmic bounds on Tusn\'ady's problem use a canonical decomposition of Matou\v{s}ek for the system of points and axis-parallel boxes, together
Externí odkaz:
http://arxiv.org/abs/2109.05693
Impact of drying methods on ergosterol content and cholesterol-lowering activity of Ganodermalucidum
Autor:
Ashikhmina, Mariia S., Ostrokhishko, Anastasia A., Dyagil, Darya A., Nesterov, Pavel V., Barkov, Artem V., Vinokurov, Vladimir A., Dutta, Kunal, Orlova, Olga Y., Iakovchenko, Natalia V., Shityakov, Sergey, Ulasevich, Sviatlana A., Skorb, Ekaterina V.
Publikováno v:
In Food Bioscience August 2024 60