Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Miasojedow, Blazej"'
We present a significant advancement in the field of Langevin Monte Carlo (LMC) methods by introducing the Inexact Proximal Langevin Algorithm (IPLA). This novel algorithm broadens the scope of problems that LMC can effectively address while maintain
Externí odkaz:
http://arxiv.org/abs/2412.09698
We establish that the Lavrentiev gap between Sobolev and Lipschitz maps does not occur for a scalar variational problem of the form: \[ \textrm{to minimize} \qquad u \mapsto \int_\Omega f(x,u,\nabla u)\text{d}x \,, \] under a Dirichlet boundary condi
Externí odkaz:
http://arxiv.org/abs/2410.14995
We study the spatially homogeneous granular medium equation \[\partial_t\mu=\rm{div}(\mu\nabla V)+\rm{div}(\mu(\nabla W \ast \mu))+\Delta\mu\,,\] within a large and natural class of the confinement potentials $V$ and interaction potentials $W$. The c
Externí odkaz:
http://arxiv.org/abs/2405.18034
We consider a macroscopic model for the growth of living tissues incorporating pressure-driven dispersal and pressure-modulated proliferation. Assuming a power-law relation between the mechanical pressure and the cell density, the model can be expres
Externí odkaz:
http://arxiv.org/abs/2403.19070
Gibbs samplers are preeminent Markov chain Monte Carlo algorithms used in computational physics and statistical computing. Yet, their most fundamental properties, such as relations between convergence characteristics of their various versions, are no
Externí odkaz:
http://arxiv.org/abs/2304.02109
We study classes of weights ensuring the absence and presence of the Lavrentiev's phenomenon for double phase functionals upon every choice of exponents. We introduce a new sharp scale for weights for which there is no Lavrentiev's phenomenon up to a
Externí odkaz:
http://arxiv.org/abs/2303.05877
We establish the absence of the Lavrentiev gap between Sobolev and smooth maps for a non-autonomous variational problem of a general structure, where the integrand is assumed to be controlled by a function which is convex and anisotropic with respect
Externí odkaz:
http://arxiv.org/abs/2210.15217
We provide a short proof of a sharp rearrangement estimate for a generalized version of a potential of Wolff--Havin--Maz'ya type. As a consequence, we prove a reduction principle for that integral operators, that is, a characterization of those rearr
Externí odkaz:
http://arxiv.org/abs/2209.05618
Autor:
Dainotti, Maria Giovanna, Bogdan, Malgorzata, Narendra, Aditya, Gibson, Spencer James, Miasojedow, Blazej, Liodakis, Ioannis, Pollo, Agnieszka, Nelson, Trevor, Wozniak, Kamil, Nguyen, Zooey, Larrson, Johan
AGNs are very powerful galaxies characterized by extremely bright emissions coming out from their central massive black holes. Knowing the redshifts of AGNs provides us with an opportunity to determine their distance to investigate important astrophy
Externí odkaz:
http://arxiv.org/abs/2107.10952
From a systems biology perspective the majority of cancer models, although interesting and providing a qualitative explanation of some problems, have a major disadvantage in that they usually miss a genuine connection with experimental data. Having t
Externí odkaz:
http://arxiv.org/abs/2106.05955