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Shannon entropy and Fisher information functionals are known to quantify certain information-theoretic properties of continuous probability distributions of various origins. We carry out a systematic study of these functionals, while…

量子物理 · 物理学 2007-05-23 Piotr Garbaczewski

Mouse-tracking of computer system users represents a less expensive, but also a far more applicable alternative to eye-tracking. The main disadvantage of mouse-tracking are errors manifested as discrepancies between the actual eye-gaze…

人机交互 · 计算机科学 2021-05-14 Aleksandar Jevremovic , Panayiotis Zaphiris , Sasa Adamovic , Mati Mottus , Andri Ioannou

Conditional differential entropy provides an intuitive measure for relatively ranking time-series complexity by quantifying uncertainty in future observations given past context. However, its direct computation for high-dimensional…

A popular Adam--Gibbs scenario has suggested that the excess entropy of glass and liquid over crystal dominates the dynamical arrest at the glass transition with exclusive contribution from configurational entropy over vibrational entropy.…

软凝聚态物质 · 物理学 2020-02-05 Dong Han , Dan Wei , Jie Yang , Hui-Ling Li , Min-Qiang Jiang , Yun-Jiang Wang , Lan-Hong Dai , Alessio Zaccone

Numerous analyses of reading time (RT) data have been implemented -- all in an effort to better understand the cognitive processes driving reading comprehension. However, data measured on words at the end of a sentence -- or even at the end…

计算与语言 · 计算机科学 2024-01-08 Clara Meister , Tiago Pimentel , Thomas Hikaru Clark , Ryan Cotterell , Roger Levy

Understanding how information is dynamically accumulated and transformed in human reasoning has long challenged cognitive psychology, philosophy, and artificial intelligence. Existing accounts, from classical logic to probabilistic models,…

Temporal resolution of visual information processing is thought to be an important factor in predator-prey interactions, shaped in the course of evolution by animals' ecology. Here I show that light can be considered to have a dual role of…

神经元与认知 · 定量生物学 2019-10-25 Bartosz Jura

A general theory of stochastic decision forests is developed to bridge two concepts of information flow: decision trees and refined partitions on the one side, filtrations from probability theory on the other. Instead of the traditional…

理论经济学 · 经济学 2024-11-12 E. Emanuel Rapsch

We propose a novel tensor-based formalism for inferring causal structures from time series. An information theoretical analysis of transfer entropy, shows that transfer entropy results from transmission of information over a set of…

信息论 · 计算机科学 2020-04-22 David Sigtermans

Reinforcement learning plays a crucial role in generative re-ranking scenarios due to its exploration-exploitation capabilities, but existing generative methods mostly fail to adapt to the dynamic entropy changes in model difficulty during…

人工智能 · 计算机科学 2026-01-21 Changshuo Zhang

Turbulence theory is usually concerned with the statistical moments of the velocity or its fluctuations. One could also analyze the implicit probability distributions. This is the purview of information theory. Here we use information…

混沌动力学 · 物理学 2016-02-15 Rory T. Cerbus , Walter I. Goldburg

Complementarity relations between various characterizations of a probability distribution are at the core of information theory. In particular, lower and upper bounds for the entropic function are of great importance. In applied topics, we…

量子物理 · 物理学 2022-09-07 Alexey E. Rastegin

We propose to examine the predictability and the complexity characteristics of the Standard&Poor500 dynamics behaviors in a coarse-grained way using the symbolic dynamics method and under the prism of the Information theory through the…

统计金融 · 定量金融 2021-05-11 Geoffrey Ducournau

We show why the amount of information communicated between the past and future--the excess entropy--is not in general the amount of information stored in the present--the statistical complexity. This is a puzzle, and a long-standing one,…

统计力学 · 物理学 2013-05-29 James P. Crutchfield , Christopher J. Ellison , John R. Mahoney

In information theory, Fisher information and Shannon information (entropy) are respectively used to quantify the uncertainty associated with the distribution modeling and the uncertainty in specifying the outcome of given variables. These…

机器学习 · 统计学 2018-09-27 Huangjie Zheng , Jiangchao Yao , Ya Zhang , Ivor W. Tsang , Jia Wang

People segment complex, ever-changing and continuous experience into basic, stable and discrete spatio-temporal experience units, called events. Event segmentation literature investigates the mechanisms that allow people to extract events.…

神经元与认知 · 定量生物学 2022-10-13 Hamit Basgol , Inci Ayhan , Emre Ugur

In this paper, we identify a radically new viewpoint on the collective behaviour of groups of intelligent agents. We first develop a highly general abstract model for the possible future lives that these agents may encounter as a result of…

其他定量生物学 · 定量生物学 2017-04-20 Richard P. Mann , Roman Garnett

This work suggests modifications to a previously introduced class of heterogeneous agent models that allow for the inclusion of different types of agent motivations and behaviours in a unified way. The agents operate within a highly…

交易与市场微观结构 · 定量金融 2009-11-13 H. Lamba , T. Seaman

Decision formation in perceptual decision-making involves sensory evidence accumulation instantiated by the temporal integration of an internal decision variable towards some decision criterion or threshold, as described by sequential…

神经元与认知 · 定量生物学 2024-10-15 Brendan Lenfesty , Saugat Bhattacharyya , KongFatt Wong-Lin

The probability distribution of number of ties of an individual in a social network follows a scale-free power-law. However, how this distribution arises has not been conclusively demonstrated in direct analyses of people's actions in…

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