Zobrazeno 1 - 10
of 341 606
pro vyhledávání: '"Watson, P."'
We investigate the quasi-limiting behaviour of bisexual subcritical Galton-Watson branching processes. While classical subcritical Galton-Watson processes have been extensively analyzed, bisexual Galton-Watson branching processes present unique diffi
Externí odkaz:
http://arxiv.org/abs/2406.19559
Autor:
Barczy, Matyas, Bezdány, Dániel
We study the asymptotic behaviour of a critical decomposable 3-type Galton-Watson process with immigration when its offspring mean matrix is triangular with diagonal entries 1. It is proved that, under second or fourth order moment assumptions on the
Externí odkaz:
http://arxiv.org/abs/2406.09852
We investigate the behavior of the Nadaraya-Watson kernel smoothing estimator in high dimensions using its relationship to the random energy model and to dense associative memories.
Comment: 9 pages, 3 figures
Comment: 9 pages, 3 figures
Externí odkaz:
http://arxiv.org/abs/2408.03769
Autor:
Goldberg, Saveli, Sluchak, Vladimir
The article further develops and formalizes a theory of friendly dialogue in an AI System of Dr. Watson type, as proposed in our previous publication[4],[19]. The main principle of this type of AI is to guide the user toward a solution in a friendly
Externí odkaz:
http://arxiv.org/abs/2407.20291
Autor:
Taneja, Karan, Maiti, Pratyusha, Kakar, Sandeep, Guruprasad, Pranav, Rao, Sanjeev, Goel, Ashok K.
Conversational AI agents often require extensive datasets for training that are not publicly released, are limited to social chit-chat or handling a specific domain, and may not be easily extended to accommodate the latest advances in AI technologies
Externí odkaz:
http://arxiv.org/abs/2405.11070
Autor:
Qian, Dongjian, Xiao, Yang
This paper deals with a transient random walk in Dirichlet environment, or equivalently a linearly edge reinforced random walk, on a Galton-Watson tree. We compute the stationary distribution of the environment seen from the particle of an edge reinf
Externí odkaz:
http://arxiv.org/abs/2405.11845
We consider an observed subcritical Galton Watson process $\{Y_n,\ n\in \mathbb{Z} \}$ with correlated stationary immigration process $\{\epsilon_n,\ n\in \mathbb{Z} \}$. Two situations are presented. The first one is when $\mbox{Cov}(\epsilon_0,\eps
Externí odkaz:
http://arxiv.org/abs/2404.12137
Autor:
Ventura, Irene Ayuso, Berger, Quentin
When considering statistical mechanics models on trees, such that the Ising model, percolation, or more generally the random cluster model, some concave tree recursions naturally emerge. Some of these recursions can be compared with non-linear conduc
Externí odkaz:
http://arxiv.org/abs/2404.11564
Autor:
Lysetskyi, T. B., Yeleiko, Ya. I.
We consider a multi-type Galton-Watson branching processes, where the largest in magnitude positive eigenvalue $\rho$ of the first moments matrix is close to unity. Specifically, we examine the random vector representing the number of individuals pre
Externí odkaz:
http://arxiv.org/abs/2404.00435
We consider a Galton-Watson tree where each node is marked independently of each others with a probability depending on itsout-degree. Using a penalization method, we exhibit new martingales where the number of marks up to level n -- 1 appears. Then,
Externí odkaz:
http://arxiv.org/abs/2403.00384