Zobrazeno 1 - 10
of 4 305
pro vyhledávání: '"Grama, A."'
Autor:
Grama, Ion, Xiao, Hui
Consider a random walk $S_n=\sum_{i=1}^n X_i$ with independent and identically distributed real-valued increments with zero mean, finite variance and moment of order $2 + \delta$ for some $\delta>0$. For any starting point $x\in \mathbb R$, let $\tau
Externí odkaz:
http://arxiv.org/abs/2412.08932
Generative models have shown impressive capabilities in synthesizing high-quality outputs across various domains. However, a persistent challenge is the occurrence of "hallucinations", where the model produces outputs that are plausible but invalid.
Externí odkaz:
http://arxiv.org/abs/2410.19217
Our objective is to explore random walks on the general linear group, constrained to a specific domain, with a primary focus on establishing the conditioned local limit theorem. This paper marks the initial stride toward achieving this goal, specific
Externí odkaz:
http://arxiv.org/abs/2410.05812
The purpose of this article is to show that Theorems 2.2-2.5 from [1] apply to the product of random matrices considered by Grama, Le Page, and Peign\'e [2]. This allows us, in particular, to emphasize the general nature of the formulation of our the
Externí odkaz:
http://arxiv.org/abs/2410.05795
We investigate random walks on the general linear group constrained within a specific domain, with a focus on their asymptotic behavior. In a previous work [38], we constructed the associated harmonic measure, a key element in formulating the local l
Externí odkaz:
http://arxiv.org/abs/2410.05897
Spectral Graph Convolutional Networks (GCNs) have gained popularity in graph machine learning applications due, in part, to their flexibility in specification of network propagation rules. These propagation rules are often constructed as polynomial f
Externí odkaz:
http://arxiv.org/abs/2409.04813
We present a characterization of the Hamiltonians that generate optimal-speed unitary time evolution and the associated dynamical trajectory, where the initial states are either pure states or quasi-pure quantum states. We construct the manifold of p
Externí odkaz:
http://arxiv.org/abs/2408.07794
In this paper, combining the Rashevsky-Chow-Sussmann (orbit) theorem with the Ambrose-Singer theorem, we introduce the notion of controllable principal connections on principal $G$-bundles. Using this concept, under a mild assumption of compactness,
Externí odkaz:
http://arxiv.org/abs/2407.01427
Task-specific functional MRI (fMRI) images provide excellent modalities for studying the neuronal basis of cognitive processes. We use fMRI data to formulate and solve the problem of deconvolving task-specific aggregate neuronal networks into a set o
Externí odkaz:
http://arxiv.org/abs/2407.00201
Aligning large language models (LLMs) with human preferences is critical for their deployment. Recently, decoding-time alignment has emerged as an effective plug-and-play technique that requires no fine-tuning of model parameters. However, generating
Externí odkaz:
http://arxiv.org/abs/2406.16306