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We investigate temporal correlations in the simplest measurement scenario, i.e., that of a physical system on which the same measurement is performed at different times, producing a sequence of dichotomic outcomes. The resource for…

量子物理 · 物理学 2022-01-19 Lucas B. Vieira , Costantino Budroni

In two previous experiments we investigated the neural precursors of subjects' "free" choices for one of two options (pressing one of two buttons, and choosing between adding and subtracting numbers). In these experiments the distribution…

神经元与认知 · 定量生物学 2013-11-05 Carsten Allefeld , Chun Siong Soon , Carsten Bogler , Jakob Heinzle , John-Dylan Haynes

There has been a large increase in the amount of work on hierarchical low-rank approximation methods, where the interest is shared by multiple communities that previously did not intersect. This objective of this article is two-fold; to…

数值分析 · 计算机科学 2016-02-09 Rio Yokota , Huda Ibeid , David Keyes

Rehearsal is one of the key techniques for mitigating catastrophic forgetting and has been widely adopted in continual learning algorithms due to its simplicity and practicality. However, the theoretical understanding of how rehearsal scale…

机器学习 · 计算机科学 2026-02-25 JinLi He , Liang Bai , Xian Yang

Competitive dynamics are thought to occur in many processes of learning involving synaptic plasticity. Here we show, in a game theory-inspired model of synaptic interactions, that the competition between synapses in their weak and strong…

无序系统与神经网络 · 物理学 2015-05-28 Gaurang Mahajan , Anita Mehta

We present a new method for linear and nonlinear, lagged and contemporaneous constraint-based causal discovery from observational time series in the presence of latent confounders. We show that existing causal discovery methods such as FCI…

统计方法学 · 统计学 2021-02-03 Andreas Gerhardus , Jakob Runge

Both the human brain and artificial learning agents operating in real-world or comparably complex environments are faced with the challenge of online model selection. In principle this challenge can be overcome: hierarchical Bayesian…

机器学习 · 计算机科学 2017-12-05 David G. Nagy , Gergő Orbán

Motivated by the psychological literature on the "peak-end rule" for remembered experience, we perform an analysis within a random walk framework of a discrete choice model where agents' future choices depend on the peak memory of their…

统计力学 · 物理学 2015-06-01 Rosemary J. Harris

A stochastic model of short-term verbal memory is proposed, in which the psychological state of the subject is encoded as the instantaneous position of a particle diffusing over a semantic graph with a probabilistic structure. The model is…

神经元与认知 · 定量生物学 2017-03-22 Francesco Fumarola

In the context of individual-level causal inference, we study the problem of predicting whether someone will respond or not to a treatment based on their features and past examples of features, treatment indicator (e.g., drug/no drug), and…

机器学习 · 统计学 2019-06-04 Nathan Kallus

IntroductionThe free and cued selective reminding test is used to identify memory deficits in mild cognitive impairment and demented patients. It allows assessing three processes: encoding, storage, and recollection of verbal episodic…

Deploying Multimodal Large Language Models as the brain of embodied agents remains challenging, particularly under long-horizon observations and limited context budgets. Existing memory assisted methods often rely on textual summaries,…

机器人学 · 计算机科学 2026-03-03 Ji Li , Bo Wang , Jing Xia , Mingyi Li , Shiyan Hu

We study various models of associative memories with sparse information, i.e. a pattern to be stored is a random string of $0$s and $1$s with about $\log N$ $1$s, only. We compare different synaptic weights, architectures and retrieval…

概率论 · 数学 2016-06-27 Vincent Gripon , Judith Heusel , Matthias Löwe , Franck Vermet

By incorporating feedback loops, that engender amplification and damping so that output is not proportional to input, the biological neural networks become highly nonlinear and thus very likely chaotic in nature. Research in control theory…

神经元与认知 · 定量生物学 2022-12-22 Fan Zhang

Consider the extreme value of a Bernoulli random walk on the one-dimensional integer lattice, with reflection at 0, over a finite discrete time interval. Only the asymmetric (biased) case is discussed. Asymptotic mean/variance results are…

历史与综述 · 数学 2018-08-27 Steven R. Finch

Many complex systems exhibit interactions that depend not only on pairwise connections, but also group structures and memory effects. To capture such effects, we develop a unified tensor framework for modeling higher-order Markov chains…

系统与控制 · 电气工程与系统科学 2026-04-09 Shaoxuan Cui , Lingfei Wang , Hildeberto Jardon-Kojakhmetov , Karl Henrik Johansson , Ming Cao

Random walks find applications in many areas of science and are the heart of essential network analytic tools. When defined on temporal networks, even basic random walk models may exhibit a rich spectrum of behaviours, due to the…

物理与社会 · 物理学 2019-11-11 Julien Petit , Renaud Lambiotte , Timoteo Carletti

We develop nonlinear renewal theorems for a perturbed random walk without assuming stochastic boundedness of centered perturbation terms. A second order expansion of the expected stopping time is obtained via the uniform integrability of…

统计理论 · 数学 2007-06-13 Keiji Nagai , Cun-Hui Zhang

We introduce a lifelong language learning setup where a model needs to learn from a stream of text examples without any dataset identifier. We propose an episodic memory model that performs sparse experience replay and local adaptation to…

机器学习 · 计算机科学 2019-11-27 Cyprien de Masson d'Autume , Sebastian Ruder , Lingpeng Kong , Dani Yogatama

The statistics of records in sequences of independent, identically distributed random variables is a classic subject of study. One of the earliest results concerns the stochastic independence of record events. Recently, records statistics…

统计力学 · 物理学 2011-09-26 Gregor Wergen , Jasper Franke , Joachim Krug