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Correlated fluctuations in the activity of neural populations reflect the network's dynamics and connectivity. The temporal and spatial dimensions of neural correlations are interdependent. However, prior theoretical work mainly analyzed…

神经元与认知 · 定量生物学 2022-07-19 Yan-Liang Shi , Roxana Zeraati , Anna Levina , Tatiana A. Engel

The analysis of temporal networks heavily depends on the analysis of time-respecting paths. However, before being able to model and analyze the time-respecting paths, we have to infer the timescales at which the temporal edges influence…

物理与社会 · 物理学 2023-01-30 Luka V. Petrović , Anatol Wegner , Ingo Scholtes

Manipulating the propagation of light through scattering media remains a major challenge for many applications, including astronomy, biomedical imaging and colloidal optics. Wavefront shaping is one of the most promising ways to mitigate…

Absorption yields an additional exponential decay in open quantum systems which can be described by shifting the (scattering) energy E along the imaginary axis, E+i\hbar/2\tau_{a}. Using the random matrix approach, we calculate analytically…

介观与纳米尺度物理 · 物理学 2007-05-23 D. V. Savin , H. -J. Sommers

In this paper we review an approach to estimating the causal effect of a time-varying treatment on time to some event of interest. This approach is designed for the situation where the treatment may have been repeatedly adapted to patient…

统计理论 · 数学 2007-06-13 J. J. Lok , R. D. Gill , A. W. van der Vaart , J. M. Robins

Spatiotemporal predictive learning offers a self-supervised learning paradigm that enables models to learn both spatial and temporal patterns by predicting future sequences based on historical sequences. Mainstream methods are dominated by…

计算机视觉与模式识别 · 计算机科学 2023-10-31 Xuesong Nie , Xi Chen , Haoyuan Jin , Zhihang Zhu , Yunfeng Yan , Donglian Qi

The Loschmidt echo measures the sensitivity to perturbations of quantum evolutions. We study its short time decay in classically chaotic systems. Using perturbation theory and throwing out all correlation imposed by the initial state and…

混沌动力学 · 物理学 2009-11-07 Diego A. Wisniacki

The use of learned dynamics models, also known as world models, can improve the sample efficiency of reinforcement learning. Recent work suggests that the underlying causal graphs of such dynamics models are sparsely connected, with each of…

We show how a recently introduced statistics [Patil et al, Phys. Rev. Lett. 81 5878 (2001)] provides a direct relationship between dimension and predictability in spatiotemporal chaotic systems. Regions of low dimension are identified as…

混沌动力学 · 物理学 2007-05-23 Gerson Francisco , Paulsamy Muruganandam

High resolution satellite image sequences are multidimensional signals composed of spatio-temporal patterns associated to numerous and various phenomena. Bayesian methods have been previously proposed in (Heas and Datcu, 2005) to code the…

计算机视觉与模式识别 · 计算机科学 2007-09-20 Patrick Héas , Mihai Datcu

Adversarial examples mainly exploit changes to input pixels to which humans are not sensitive to, and arise from the fact that models make decisions based on uninterpretable features. Interestingly, cognitive science reports that the…

We study synthetic temporal networks whose evolution is determined by stochastically evolving node variables - synthetic analogues of, e.g., temporal proximity networks of mobile agents. We quantify the long-timescale correlations of these…

物理与社会 · 物理学 2024-08-30 Harrison Hartle , Naoki Masuda

This paper studies the effects of a time-delayed feedback control on the appearance and development of spatiotemporal patterns in a reaction-diffusion system. Different types of control schemes are investigated, including single-species,…

混沌动力学 · 物理学 2012-09-21 Y. N. Kyrychko , K. B. Blyuss , S. J. Hogan , E. Schoell

We present a theoretical analysis of the Jacobian of an attention block within a transformer, showing that it is governed by the query, key, and value projections that define the attention mechanism. Leveraging this insight, we introduce a…

机器学习 · 计算机科学 2026-03-10 Hemanth Saratchandran , Simon Lucey

Transformer models systematically favor certain token positions, yet the architectural origins of this position bias remain poorly understood. This bias is closely connected to the Lost-in-the-Middle phenomenon, where models underutilize…

机器学习 · 计算机科学 2026-05-28 Hanna Herasimchyk , Robin Labryga , Tomislav Prusina , Sören Laue

Consider the problem of learning the drift coefficient of a stochastic differential equation from a sample path. In this paper, we assume that the drift is parametrized by a high dimensional vector. We address the question of how long the…

信息论 · 计算机科学 2011-03-10 José Bento , Morteza Ibrahimi , Andrea Montanari

In many computer vision tasks, the relevant information to solve the problem at hand is mixed to irrelevant, distracting information. This has motivated researchers to design attentional models that can dynamically focus on parts of images…

计算机视觉与模式识别 · 计算机科学 2017-02-14 Loris Bazzani , Hugo Larochelle , Lorenzo Torresani

Autoregressive generative models play a key role in various language tasks, especially for modeling and evaluating long text sequences. While recent methods leverage stochastic representations to better capture sequence dynamics, encoding…

计算与语言 · 计算机科学 2025-09-22 Tianhao Zhang , Zhecheng Sheng , Zhexiao Lin , Chen Jiang , Dongyeop Kang

We discuss the usual account of causal structure that relies on the temporal precedence constraint between cause-effect pairs. In particular, we consider the subtle interplay between local and global characters of time and causality encoded…

天体物理学 · 物理学 2007-05-23 Eric Bois , Eric Trelut

We suggest a spatially local feedback mechanism for stabilizing periodic orbits in spatially extended systems. Our method, which is based on a comparison between present and past states of the system, does not require the external…

chao-dyn · 物理学 2009-10-28 Michael E. Bleich , Joshua E. S. Socolar