Zobrazeno 1 - 10
of 4 574
pro vyhledávání: '"Gorodetsky A"'
Autor:
Cui, Tiangang, Gorodetsky, Alex
We present a new sampling-based approach for enabling efficient computation of low-rank Bayesian matrix completion and quantifying the associated uncertainty. Firstly, we design a new prior model based on the singular-value-decomposition (SVD) parame
Externí odkaz:
http://arxiv.org/abs/2410.20318
Autor:
Pickard, Joshua, Choi, Marc Andrew, Oliven, Natalie, Stansbury, Cooper, Cwycyshyn, Jillian, Galioto, Nicholas, Gorodetsky, Alex, Velasquez, Alvaro, Rajapakse, Indika
Recent advancements in Large Language Models (LLMs) are transforming biology, computer science, and many other research fields, as well as impacting everyday life. While transformer-based technologies are currently being deployed in biology, no avail
Externí odkaz:
http://arxiv.org/abs/2409.02864
Autor:
Gorodetsky, Ofir, Wong, Mo Dick
Let $\alpha$ be a Steinhaus or a Rademacher random multiplicative function. For a wide class of multiplicative functions $f$ we show that the sum $\sum_{n \le x}\alpha(n) f(n)$, normalised to have mean square $1$, has a non-Gaussian limiting distribu
Externí odkaz:
http://arxiv.org/abs/2405.20311
Autor:
Gorodetsky, Ofir, Wong, Mo Dick
Let $\alpha \colon \mathbb{N} \to S^1$ be the Steinhaus multiplicative function: a completely multiplicative function such that $(\alpha(p))_{p\text{ prime}}$ are i.i.d.~random variables uniformly distributed on $S^1$. Helson conjectured that $\mathb
Externí odkaz:
http://arxiv.org/abs/2405.19151
Autor:
Gorodetsky, Leonid, Markarian, Nikita
The main result of the paper is a description of conormal Lie algebras of Feigin-Odesskii Poisson structures. In order to obtain it we introduce a new variant of a definition of a Feigin-Odesskii Poisson structure: we define it using a differential o
Externí odkaz:
http://arxiv.org/abs/2403.02805
This paper analyzes the approximate control variate (ACV) approach to multifidelity uncertainty quantification in the case where weighted estimators are combined to form the components of the ACV. The weighted estimators enable one to precisely group
Externí odkaz:
http://arxiv.org/abs/2402.14736
This paper presents a structure-preserving Bayesian approach for learning nonseparable Hamiltonian systems using stochastic dynamic models allowing for statistically-dependent, vector-valued additive and multiplicative measurement noise. The approach
Externí odkaz:
http://arxiv.org/abs/2401.12476
We provide a collection of results on covariance expressions between Monte Carlo based multi-output mean, variance, and Sobol main effect variance estimators from an ensemble of models. These covariances can be used within multi-fidelity uncertainty
Externí odkaz:
http://arxiv.org/abs/2310.00125
Autor:
Malin-Mayor, Caroline, Adeli, Vida, Sabo, Andrea, Noritsyn, Sergey, Gorodetsky, Carolina, Fasano, Alfonso, Iaboni, Andrea, Taati, Babak
Video-based ambient monitoring of gait for older adults with dementia has the potential to detect negative changes in health and allow clinicians and caregivers to intervene early to prevent falls or hospitalizations. Computer vision-based pose track
Externí odkaz:
http://arxiv.org/abs/2308.11484
Autor:
Gorodetsky, Ofir, Grimmelt, Lasse
Publikováno v:
Q. J. Math. 75 (2024), no. 2, 695-713
Elliott and Halberstam proved that $\sum_{p
Externí odkaz:
http://arxiv.org/abs/2307.13585