Zobrazeno 1 - 10
of 2 374
pro vyhledávání: '"[MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA]"'
Autor:
de La Salle, Mikael
Publikováno v:
Comptes Rendus. Mathématique. 360:549-560
We show that a partition of the unity (or POVM) on a Hilbert space that is almost orthogonal is close to an orthogonal POVM in the same von Neumann algebra. This generalizes to infinite dimension previous results in matrix algebras by Kempe-Vidick an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3892b982dfdcd1f6c83d305a457a7612
https://doi.org/10.5802/crmath.326
https://doi.org/10.5802/crmath.326
We explore alternative functional or transport-entropy formulations of the Blaschke-Santal{\'o} inequality and of its conjectured counterpart due to Mahler. In particular, we obtain new direct and reverse Blaschke-Santal{\'o} inequalities for s-conca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c895024c10652c6a9218d84d7c28f64
http://arxiv.org/abs/2307.04393
http://arxiv.org/abs/2307.04393
Autor:
Nenna, Luca, Pegon, Paul
We investigate the convergence rate of multi-marginal optimal transport costs that are regularized with the Boltzmann-Shannon entropy, as the noise parameter $\varepsilon$ tends to $0$. We establish lower and upper bounds on the difference with the u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ca89323ec0750095ee6128844d6ef7d
http://arxiv.org/abs/2307.03023
http://arxiv.org/abs/2307.03023
Autor:
Bayart, Frédéric
We compute the essential norm of inclusion operators, composition operators and multipliers acting from a closed subspace of some $L^p$-space into a subspace of some $L^q$-space, with $p > q.$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca1708553871afee1f59309b816414f3
http://arxiv.org/abs/2306.12839
http://arxiv.org/abs/2306.12839
Autor:
Kobeissi, Ziad, Bach, Francis
We consider the problem of continuous-time policy evaluation. This consists in learning through observations the value function associated with an uncontrolled continuous-time stochastic dynamic and a reward function. We propose two original variants
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f8d33d85faa54f6bfdf97a63b6c2e30
https://inria.hal.science/hal-03574645v3/document
https://inria.hal.science/hal-03574645v3/document
Publikováno v:
Acta Mathematica Sinica English Series
Acta Mathematica Sinica English Series, 2022, 38 (8), pp.1377-1398. ⟨10.1007/s10114-022-0501-3⟩
Acta Mathematica Sinica English Series, 2022, 38 (8), pp.1377-1398. ⟨10.1007/s10114-022-0501-3⟩
If Poincar{\'e} inequality has been studied by Bobkov for radial measures, few is known about the logarithmic Sobolev inequalty in the radial case. We try to fill this gap here using different methods: Bobkov's argument and super-Poincar{\'e} inequal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::722d74269ecf34b5a958698e37f7d9f5
https://doi.org/10.1007/s10114-022-0501-3
https://doi.org/10.1007/s10114-022-0501-3
Given a training set, a loss function, and a neural network architecture, it is often taken for granted that optimal network parameters exist, and a common practice is to apply available optimization algorithms to search for them. In this work, we sh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb7052e8899662810520f55415852268
https://inria.hal.science/hal-04108849/file/nips_sketch.pdf
https://inria.hal.science/hal-04108849/file/nips_sketch.pdf
Autor:
Mouze, Augustin, Munnier, Vincent
We are interested in the optimal growth in terms of $L^p$-averages of hypercyclic and $\mathcal{U}$-frequently hypercyclic functions for some weighted Taylor shift operators acting on the space of analytic function on the unit disc. We unify the resu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______4254::af59e553add9878d157bedd3035b2122
https://hal.science/hal-03882883
https://hal.science/hal-03882883
We consider the evolution of a free quantum particle on the Grushin cylinder, under different type of quantizations. In particular we are interested to understand if the particle can cross the singular set, i.e., the set where the structure is not Ri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3c2f0837e14f5cda9050986b612d0ef
https://hal.science/hal-04057223
https://hal.science/hal-04057223