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A method to estimate the time-dependent correlation via an empirical bias estimate of the time-delayed mutual information for a time-series is proposed. In particular, the bias of the time-delayed mutual information is shown to often be…

混沌动力学 · 物理学 2016-01-20 DJ Albers , George Hripcsak

Wibral et al. propose a measure of interaction delays rooted in an information-theoretic framework and contrast their measure with the bivariate momentary information transfer (MIT), introduced in Pompe, B., & Runge, J. (2011). Momentary…

数据分析、统计与概率 · 物理学 2014-01-17 Jakob Runge

The utilization of time reversal symmetry in designing and implementing (quantum) optical experiments has become more and more frequent over the past years. We review the basic idea underlying time reversal methods, illustrate it with…

光学 · 物理学 2012-05-08 Gerd Leuchs , Markus Sondermann

Distance measurement is crucial to astronomy. Here we suggest a new conceptual method to measure the distance by using a local instrument. By engaging the double-slit interference and by considering the phase information of the light, the…

天体物理仪器与方法 · 物理学 2020-06-17 Yuan-Chuan Zou

We propose a "decomposition method" to prove non-asymptotic bound for the convergence of empirical measures in various dual norms. The main point is to show that if one measures convergence in duality with sufficiently regular observables,…

概率论 · 数学 2018-02-13 Benoît Kloeckner

Random walks as well as diffusions in random media are considered. Methods are developed that allow one to establish large deviation results for both the `quenched' and the `averaged' case.

概率论 · 数学 2007-05-23 S R S Varadhan

We consider an approach for testing the hypothesis that two realizations of the random variables in the form of histograms are taken from the same statistical population (i.e. two histograms are drawn from the same distribution). The…

数据分析、统计与概率 · 物理学 2013-11-26 S. Bityukov , N. Krasnikov , A. Nikitenko , V. Smirnova

We consider gravitational time dilation between stationary observers and present examples, which contradict the statement that "time slows down as gravity increases". We show furthermore that this statement cannot be true in general, if…

广义相对论与量子宇宙学 · 物理学 2021-02-25 Andrzej Okolow

Sufficient conditions for the design of a simple class of interval observers for linear impulsive systems subject to minimum and range dwell-time constraints are obtained and formulated in terms of infinite-dimensional linear programs. The…

最优化与控制 · 数学 2017-03-30 Corentin Briat , Mustafa Khammash

Measuring the topological overlap of two graphs becomes important when assessing the changes between temporally adjacent graphs in a time-evolving network. Current methods depend on the fraction of nodes that have persisting edges. This…

物理与社会 · 物理学 2014-03-06 Fiona Pigott , Mauricio Rene Herrera Marin

Real-world systems can be strongly influenced by time delays occurring in self-coupling interactions, due to unavoidable finite signal propagation velocities. When the delays become significantly long, complicated high-dimensional phenomena…

混沌动力学 · 物理学 2022-06-08 Serhiy Yanchuk , Giovanni Giacomelli

In many application domains, time series are monitored to detect extreme events like technical faults, natural disasters, or disease outbreaks. Unfortunately, it is often non-trivial to select both a time series that is informative about…

统计方法学 · 统计学 2020-05-01 Erik Scharwächter , Emmanuel Müller

The analysis of social networks, in particular those describing face-to-face interactions between individuals, is complex due to the intertwining of the topological and temporal aspects. We revisit them both, using public data recorded by…

物理与社会 · 物理学 2024-02-07 Stephane Plaszczynski , Gilberto Nakamura , Basile Grammaticos , Mathilde Badoual

A method is proposed that allows one to infer the sum of the values of an observable taken during contacts with a pointer state. Hereby the state of the pointer is updated while contacted with the system and remains unchanged between…

统计力学 · 物理学 2020-11-06 Juzar Thingna , Peter Talkner

Many systems rely on reliable timestamps to determine the time of a particular action or event. This is especially true in digital investigations where investigators are attempting to determine when a suspect actually committed an action.…

计算机与社会 · 计算机科学 2018-03-23 Joshua I. James , Yunsik Jang

We state a condition for an observer to be comoving with another observer in general relativity, based on the concept of lightlike simultaneity. Taking into account this condition, we study relative velocities, Doppler effect and light…

广义相对论与量子宇宙学 · 物理学 2007-05-23 V. J. Bolós

Ubiquitously during experiments one encounters a situation where time lapse between two events has to measured. For example during the oscillations of a pendulum or a vibrating reed, the powering of a lamp and achieving of its full…

物理教育 · 物理学 2012-01-26 Raju Baddi

Time perception is crucial for a coherent human experience. As life progresses, our perception of the passage of time becomes increasingly non-uniform, often feeling as though it accelerates with age. While various causes for this…

神经元与认知 · 定量生物学 2024-11-11 Enric Espel Sanchez

We propose a novel framework for learning time-varying graphs from spatiotemporal measurements. Given an appropriate prior on the temporal behavior of signals, our proposed method can estimate time-varying graphs from a small number of…

信号处理 · 电气工程与系统科学 2025-09-10 Haruki Yokota , Koki Yamada , Yuichi Tanaka , Antonio Ortega

According to Aristotle "time is the number of change with respect to the before and after". That's certainly a vague concept, but at the same time it's both simple and satisfying from a philosophical point of view: things do not change…

物理学史与哲学 · 物理学 2022-01-07 Marcello Poletti