Zobrazeno 1 - 10
of 85
pro vyhledávání: '"KhudaBukhsh, Wasiur R"'
We propose a novel model-based clustering approach for samples of time series. We assume as a unique commonality that two observations belong to the same group if structural changes in their behaviours happen at the same time. We resort to a latent r
Externí odkaz:
http://arxiv.org/abs/2410.09552
Autor:
Ganguly, Arnab, KhudaBukhsh, Wasiur R.
We consider a stochastic model of multistage Michaelis--Menten (MM) type enzyme kinetic reactions describing the conversion of substrate molecules to a product through several intermediate species. The high-dimensional, multiscale nature of these rea
Externí odkaz:
http://arxiv.org/abs/2409.06565
We study a Volterra Gaussian process of the form $X(t)=\int^t_0K(t,s)d{W(s)},$ where $W$ is a Wiener process and $K$ is a continuous kernel. In dimension one, we prove a law of the iterated logarithm, discuss the existence of local times and verify a
Externí odkaz:
http://arxiv.org/abs/2409.04377
Quantum entanglement is the key to quantum communications over considerable distances. The first step for entanglement distribution among quantum communication nodes is to generate link-level Einstein-Podolsky-Rosen (EPR) pairs between adjacent commu
Externí odkaz:
http://arxiv.org/abs/2310.18198
Epidemic propagation on networks represents an important departure from traditional massaction models. However, the high-dimensionality of the exact models poses a challenge to both mathematical analysis and parameter inference. By using mean-field m
Externí odkaz:
http://arxiv.org/abs/2302.02470
The Dynamical Survival Analysis (DSA) is a framework for modeling epidemics based on mean field dynamics applied to individual (agent) level history of infection and recovery. Recently, DSA has been shown to be an effective tool in analyzing complex
Externí odkaz:
http://arxiv.org/abs/2208.00417
We propose an approach to modelling large-scale multi-agent dynamical systems allowing interactions among more than just pairs of agents using the theory of mean field games and the notion of hypergraphons, which are obtained as limits of large hyper
Externí odkaz:
http://arxiv.org/abs/2203.16223
Publikováno v:
In Mathematical Biosciences September 2024 375
Autor:
Di Lauro, Francesco, KhudaBukhsh, Wasiur R., Kiss, Istvan Z., Kenah, Eben, Jensen, Max, Rempala, Grzegorz A.
We present a new method for analyzing stochastic epidemic models under minimal assumptions. The method, dubbed DSA, is based on a simple yet powerful observation, namely that population-level mean-field trajectories described by a system of PDE may a
Externí odkaz:
http://arxiv.org/abs/2202.09948
Interacting particles on graphs are routinely used to study magnetic behaviour in physics, disease spread in epidemiology, and opinion dynamics in social sciences. The literature on mean-field approximations of such systems for large graphs is limite
Externí odkaz:
http://arxiv.org/abs/2201.04999