Zobrazeno 1 - 10
of 154 881
pro vyhledávání: '"P. P. Stein"'
Stein variational gradient descent (SVGD) [Liu and Wang, 2016] performs approximate Bayesian inference by representing the posterior with a set of particles. However, SVGD suffers from variance collapse, i.e. poor predictions due to underestimating u
Externí odkaz:
http://arxiv.org/abs/2410.22948
Autor:
Benoist, Olivier
We prove that fields of meromorphic functions on Stein surfaces have cohomological dimension 2, and solve the period-index problem and Serre's conjecture II for these fields. We obtain analogous results for fields of real meromorphic functions on Ste
Externí odkaz:
http://arxiv.org/abs/2410.16809
Autor:
Benoist, Olivier
We prove that the category of Stein spaces and holomorphic maps is anti-equivalent to the category of Stein algebras and $\mathbb{C}$-algebra morphisms. This removes a finite dimensionality hypothesis from a theorem of Forster.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/2410.05521
Autor:
Gaunt, Robert E.
Building on the rather large literature concerning the regularity of the solution of the standard normal Stein equation, we provide a complete description of the best possible uniform bounds for the derivatives of the solution of the standard normal
Externí odkaz:
http://arxiv.org/abs/2410.05475
Autor:
Benoist, Olivier
Artin vanishing theorems for Stein spaces refer to the vanishing of some of their (co)homology groups in degrees higher than the dimension. We obtain new positive and negative results concerning Artin vanishing for the cohomology of a Stein space rel
Externí odkaz:
http://arxiv.org/abs/2410.04291
Federated Learning (FL) facilitates data privacy by enabling collaborative in-situ training across decentralized clients. Despite its inherent advantages, FL faces significant challenges of performance and convergence when dealing with data that is n
Externí odkaz:
http://arxiv.org/abs/2410.03499
Autor:
Diez, Charles-Philippe
In this paper, we propose a free analogue to Fathi's construction of Stein kernels using moment maps (2019). This is possible for a class of measures called free moment measures that was introduced in the free case by Bahr and Boschert (2021), and by
Externí odkaz:
http://arxiv.org/abs/2410.02470
Autor:
Kusuoka, Seiichiro, Shiozawa, Yuichi
We consider solutions of stochastic differential equations which diverge to infinity as the time parameter goes to infinity. If the coefficients converge as the spacial variable goes to infinity, then the solutions will get close to some Gaussian pro
Externí odkaz:
http://arxiv.org/abs/2411.08725
Bayesian inference for doubly intractable distributions is challenging because they include intractable terms, which are functions of parameters of interest. Although several alternatives have been developed for such models, they are computationally
Externí odkaz:
http://arxiv.org/abs/2410.21021
Autor:
Corrales, Miguel, Berti, Sean, Denel, Bertrand, Williamson, Paul, Aleardi, Mattia, Ravasi, Matteo
In recent years, Full-Waveform Inversion (FWI) has been extensively used to derive high-resolution subsurface velocity models from seismic data. However, due to the nonlinearity and ill-posed nature of the problem, FWI requires a good starting model
Externí odkaz:
http://arxiv.org/abs/2410.13249