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We extend the mathematical model based on stochastic differential equations describing the error gained by an atomic clock to the cases of anomalous behavior including jumps and an increase of instability. We prove an exact iterative…

Probability · Mathematics 2015-06-04 Cristina Zucca , Patrizia Tavella

With the passage of more time from the original date of publication, the measure of the impact of scientific works using subsequent citation counts becomes more accurate. However the measurement of individual and organizational research…

Digital Libraries · Computer Science 2018-11-06 Giovanni Abramo , Tindaro Cicero , Ciriaco Andrea D'Angelo

The process of collecting and organizing sets of observations represents a common theme throughout the history of science. However, despite the ubiquity of scientists measuring, recording, and analyzing the dynamics of different processes,…

Data Analysis, Statistics and Probability · Physics 2013-05-23 Ben D. Fulcher , Max A. Little , Nick S. Jones

Though languages can evolve slowly, they can also react strongly to dramatic world events. By studying the connection between words and events, it is possible to identify which events change our vocabulary and in what way. In this work, we…

Computation and Language · Computer Science 2019-09-24 Guy D. Rosin , Kira Radinsky

One clock alternating timed automata OCATA have been recently introduced as natural extension of (one clock) timed automata to express the semantics of MTL (Ouaknine, Worrell 2005). We consider the application of OCATA to problem of…

Formal Languages and Automata Theory · Computer Science 2013-04-11 Thomas Brihaye , Morgane Estiévenart , Gilles Geeraerts

Recent work has shown that models flow matching models can be trained without explicit time conditioning, challenging the standard view that the interpolation time is needed to disambiguate velocity targets. But why should a time-blind…

Machine Learning · Computer Science 2026-05-12 Alec Helbling , Sebastian Gutierrez Hernandez , Benjamin Hoover , Duen Horng Chau , Parikshit Ram

We study some limit theorems for the law of a generalized one-dimensional diffusion weighted and normalized by a non-negative function of the local time evaluated at a parametrized family of random times (which we will call a clock). As the…

Probability · Mathematics 2018-02-19 Christophe Profeta , Kouji Yano , Yuko Yano

Most of us think we know some basic facts about how time works. The facts we believe we know are based on a few intuitions about time, which are, in turn, based on our conscious waking experiences. As far as I can tell, these intuitions…

Neurons and Cognition · Quantitative Biology 2015-03-05 Julia Mossbridge

This paper addresses the question of identifying the time-window in short-term past from which the information regarding the future occupant's window opening actions and resulting window states in buildings can be predicted. The addressed…

Computers and Society · Computer Science 2018-09-27 Romana Markovic , Jérôme Frisch , Christoph van Treeck

Spreading processes on graphs arise in a host of application domains, from the study of online social networks to viral marketing to epidemiology. Various discrete-time probabilistic models for spreading processes have been proposed. These…

Social and Information Networks · Computer Science 2021-09-24 Abram Magner , Carolyn Kaminski , Petko Bogdanov

The study of temporal networks is motivated by the simple and important observation that just as network structure can affect dynamics, so can structure in time. Just as network topology can teach us about the system in question, so can its…

Physics and Society · Physics 2021-03-26 Petter Holme , Jari Saramäki

The abstraction introduced by von Neumann correctly reflected the state of the art 70 years ago. Although it omitted data transmission time between components of the computer, it served as an excellent base for classic computing for…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-29 János Végh

Clocks are a central part of many computing paradigms, and are mainly used to synchronise the delicate operation of switching, necessary to drive modern computational processes. Unfortunately, this synchronisation process is reaching a…

Emerging Technologies · Computer Science 2024-02-06 Jonathan Edwards , Alex Yakovlev , Simon O'Keefe

Temporal reasoning is the task of predicting temporal relations of event pairs. While temporal reasoning models can perform reasonably well on in-domain benchmarks, we have little idea of these systems' generalizability due to existing…

Computation and Language · Computer Science 2023-06-01 Yu Feng , Ben Zhou , Haoyu Wang , Helen Jin , Dan Roth

Classical anomaly detection is principally concerned with point-based anomalies, those anomalies that occur at a single point in time. Yet, many real-world anomalies are range-based, meaning they occur over a period of time. Motivated by…

Machine Learning · Computer Science 2019-01-04 Nesime Tatbul , Tae Jun Lee , Stan Zdonik , Mejbah Alam , Justin Gottschlich

Timings of human activities are marked by circadian clocks which in turn are entrained to different environmental signals. In an urban environment the presence of artificial lighting and various social cues tend to disrupt the natural…

Physics and Society · Physics 2018-02-07 Daniel Monsivais , Asim Ghosh , Kunal Bhattacharya , Robin I. M Dunbar , Kimmo Kaski

The Greek fictional narratives often termed love novels or romances, ranging from the first century CE to the middle of the 15th century, have long been considered as similar in many ways, not least in the use of particular literary motifs.…

Computation and Language · Computer Science 2025-05-01 Emelie Hallenberg

Recently, a thermodynamic definition of time has been introduced. This definition is useful to find approach some open problems in physics. But, it was obtained by a phenomenological approach and a logical inconsistency appears in the…

Statistical Mechanics · Physics 2023-11-14 Umberto Lucia

Time is an important dimension of brain function, but little is still known about the underlying cognitive principles and neurobiological mechanisms. The field of timing and time perception has witnessed rapid growth and multidisciplinary…

Neurons and Cognition · Quantitative Biology 2015-12-02 Sundeep Teki

Time is a parameter playing a central role in our most fundamental modeling of natural laws. Relativity theory shows that the comparison of times measured by different clocks depends on their relative motions and on the strength of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-11 Pierre Magain , Clémentine Hauret
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