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This paper is the extended introduction of a serie of papers about modelling T-homotopy by refinement of observation. The notion of T-homotopy equivalence is discussed. A new one is proposed and its behaviour with respect to other…

Algebraic Topology · Mathematics 2010-06-29 Philippe Gaucher

Building on the recent notion of non-uniform complete observability, and on the fact that this property ensures non-uniform exponential detectability, this paper establishes the converse implication under suitable additional assumptions.…

Optimization and Control · Mathematics 2025-12-16 Ignacio Huerta , Pablo Monzón

Arguments are given that time must be defined in an operative manner,i.e., by constructing devices which can serve as clocks.The investigation of such devices leads to the conclusion that there is a principal uncertainity of time if one…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Martin Schoen

Interrupt Timed Automata (ITA) is an expressive timed model, introduced to take into account interruptions, according to levels. Due to this feature, this formalism is incomparable with Timed Automata. However several decidability results…

Logic in Computer Science · Computer Science 2014-09-09 Béatrice Bérard , Serge Haddad , Aleksandra Jovanović , Didier Lime

A time series represents a set of observations collected over time. Typically, these observations are captured with a uniform sampling frequency (e.g. daily). When data points are observed in uneven time intervals the time series is…

Machine Learning · Computer Science 2022-01-03 Pedro Costa , Vitor Cerqueira , João Vinagre

Out-of-distribution (OOD) detection aims to identify test examples that do not belong to the training distribution and are thus unlikely to be predicted reliably. Despite a plethora of existing works, most of them focused only on the…

Machine Learning · Computer Science 2023-11-07 Reza Averly , Wei-Lun Chao

Although models are built on the basis of some observations of reality, the concepts that derive theoretically from their definitions as well as from their characteristics and properties are not necessarily direct consequences of these…

Discrete Mathematics · Computer Science 2011-11-11 Mathilde Noual , Sylvain Sené

Irregularly sampled time series data arise naturally in many application domains including biology, ecology, climate science, astronomy, and health. Such data represent fundamental challenges to many classical models from machine learning…

Machine Learning · Computer Science 2021-01-07 Satya Narayan Shukla , Benjamin M. Marlin

Time delayed feedback control is one of the most successful methods to discover dynamically unstable features of a dynamical system in an experiment. This approach feeds back only terms that depend on the difference between the current…

Dynamical Systems · Mathematics 2016-04-26 Jan Sieber

The number of studies that combine Evolutionary Machine Learning and self-supervised learning has been growing steadily in recent years. Evolutionary Machine Learning has been shown to help automate the design of machine learning algorithms…

Neural and Evolutionary Computing · Computer Science 2025-11-05 Adriano Vinhas , João Correia , Penousal Machado

Modern approaches to causal modeling give a central role to interventions, which require the active input of an observer and introduces an explicit `causal arrow of time'. Causal models typically adopt a mechanistic interpretation,…

Quantum Physics · Physics 2019-08-23 Jacques Pienaar

The concept of time mostly plays a subordinate role in finance and economics. The assumption is that time flows continuously and that time series data should be analyzed at regular, equidistant intervals. Nonetheless, already nearly 60…

Statistical Finance · Quantitative Finance 2024-06-12 James B. Glattfelder , Richard B. Olsen

We introduce a new version of dynamic time warping for samples of observed event times that are modeled as time-warped intensity processes. Our approach is devel- oped within a framework where for each experimental unit or subject in a…

Methodology · Statistics 2012-11-07 Ana Arribas-Gil , Hans-Georg Müller

Time series interpretation aims to provide an explanation of what is observed in terms of its underlying processes. The present work is based on the assumption that the common classification-based approaches to time series interpretation…

Artificial Intelligence · Computer Science 2021-12-09 Tomás Teijeiro , Paulo Félix

Data-driven methods that detect anomalies in times series data are ubiquitous in practice, but they are in general unable to provide helpful explanations for the predictions they make. In this work we propose a model-agnostic algorithm that…

This paper proposes a novel distributed optimization framework that addresses time-varying optimization problems without requiring explicit derivative information of the objective functions. Traditional distributed methods often rely on…

Optimization and Control · Mathematics 2025-09-29 Xuebin Li , Xuefei Yang , Emilia Fridman , Mamadou Diagne , Jiebao Sun

This article introduces a fully automated verification technique that permits to analyze real-time systems described using a continuous notion of time and a mixture of operational (i.e., automata-based) and descriptive (i.e., logic-based)…

Logic in Computer Science · Computer Science 2013-08-14 Carlo A. Furia , Matteo Pradella , Matteo Rossi

A key challenge in abstraction-based verification and control under complex specifications such as Linear Temporal Logic (LTL) is that abstract models retain significantly less information than their original systems. This issue is…

Systems and Control · Electrical Eng. & Systems 2025-09-11 Sasinee Pruekprasert , Clovis Eberhart

We introduce a representation learning framework for spatial trajectories. We represent partial observations of trajectories as probability distributions in a learned latent space, which characterize the uncertainty about unobserved parts…

Machine Learning · Computer Science 2022-10-05 Dídac Surís , Carl Vondrick

What is a time-varying graph, a time-varying topological space, or, more generally, a mathematical structure that evolves over time? In this work, we lay the foundations for a general theory of temporal data by introducing categories of…

Category Theory · Mathematics 2026-04-22 Benjamin Merlin Bumpus , James Fairbanks , Martti Karvonen , Wilmer Leal , Frédéric Simard
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