Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Aishwarya, Gautam"'
Autor:
Aishwarya, Gautam, Li, Dongbin
The Kneser--Poulsen conjecture asserts that the volume of a union of balls in Euclidean space cannot be increased by bringing their centres pairwise closer. We prove that its natural information-theoretic counterpart is true. This follows from a comp
Externí odkaz:
http://arxiv.org/abs/2409.03664
Autor:
Aishwarya, Gautam, Faifman, Dmitry
The Banach isometric conjecture asserts that a normed space with all of its $k$-dimensional subspaces isometric, where $k\geq 2$, is Euclidean. The first case of $k=2$ is classical, established by Auerbach, Mazur and Ulam using an elegant topological
Externí odkaz:
http://arxiv.org/abs/2405.02440
Autor:
Aishwarya, Gautam, Rotem, Liran
We study the connection between the concavity properties of a measure $\nu$ and the convexity properties of the associated relative entropy $D(\cdot \Vert \nu)$ along optimal transport. As a corollary we prove a new dimensional Brunn-Minkowski inequa
Externí odkaz:
http://arxiv.org/abs/2311.05446
Publikováno v:
Mathematika, Volume 69, Issue 3, pp. 841-866 (2023)
We develop an information-theoretic approach to study the Kneser--Poulsen conjecture in discrete geometry. This leads us to a broad question regarding whether R\'enyi entropies of independent sums decrease when one of the summands is contracted by a
Externí odkaz:
http://arxiv.org/abs/2210.12842
Autor:
Aishwarya, Gautam, Madiman, Mokshay
Publikováno v:
Entropy (Special issue on "Information Measures with Applications" edited by A. Lapidoth), vol. 22, no. 5, 2020
The analogues of Arimoto's definition of conditional R\'enyi entropy and R\'enyi mutual information are explored for abstract alphabets. These quantities, although dependent on the reference measure, have some useful properties similar to those known
Externí odkaz:
http://arxiv.org/abs/2005.00876
Autor:
Aishwarya Gautam, Subhasis Bhadra
Publikováno v:
Journal of Human Rights and Social Work. 8:75-90
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::951db986cc9c27b6a7c8f3f725e5cb6d
https://doi.org/10.1007/s41134-023-00239-2
https://doi.org/10.1007/s41134-023-00239-2
Akademický článek
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Autor:
Aishwarya Gautam, Sheldon I. Green
Publikováno v:
Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit. 235:12-21
Locomotive sanders are used to optimize the traction between the train wheels and the railhead by spraying sand into the interface. It has been previously shown that a large fraction of sand sprayed by the sanders does not make it through the wheel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::946fa2e6724cbdee17d0ab84f82ad69d
https://doi.org/10.1177/0954409720902897
https://doi.org/10.1177/0954409720902897
Autor:
Aishwarya Gautam, Subhasis Bhadra
Publikováno v:
Child Safety, Welfare and Well-being ISBN: 9789811698194
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::899da2bc2e9846c6dd5d351e6b66067d
https://doi.org/10.1007/978-981-16-9820-0_12
https://doi.org/10.1007/978-981-16-9820-0_12
Autor:
Aishwarya, Gautam
This study presents the development and results of a numerical model of a locomotive sander system. Locomotive sanders are used to optimize traction between the train wheels and railhead by spraying sand into the interface. It has been previously sho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::86a6478ea65ed69b98d707458ab9e64d