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This paper studies prototypical strategies to sequentially aggregate independent decisions. We consider a collection of agents, each performing binary hypothesis testing and each obtaining a decision over time. We assume the agents are…

Applications · Statistics 2010-08-30 Sandra H. Dandach , Ruggero Carli , Francesco Bullo

We present an elementary introduction to a new logic for reasoning about behaviors that occur over time. This logic is based on temporal type theory. The syntax of the logic is similar to the usual first-order logic; what differs is the…

Logic · Mathematics 2022-11-04 Brendan Fong , Alberto Speranzon , David I. Spivak

Discrete temporal transitions occur in a variety of domains, but this work is mainly motivated by applications in molecular biology: explaining and analyzing observed transcriptome and proteome time series by literature and database…

Quantitative Methods · Quantitative Biology 2007-09-18 Johannes Wollbold

Real world evolves in continuous time but computations are done from finite samples. Therefore, we study algorithms using finite observations in continuous-time linear dynamical systems. We first study the system identification problem, and…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Hongyi Zhou , Jingwei Li , Jingzhao Zhang

Statistical differentiability of the measure along the reconstructed trajectory is a good candidate to quantify determinism in time series. The procedure is based upon a formula that explicitly shows the sensitivity of the measure to…

Chaotic Dynamics · Physics 2009-10-31 Guillermo J. Ortega , Enrique Louis

Type-and-effect systems are a widely-used approach to program verification, verifying the result of a computation using types, and the behavior using effects. This paper extends an effect system for verifying temporal, value-dependent…

Programming Languages · Computer Science 2022-07-22 Taro Sekiyama , Hiroshi Unno

Rule set learning has long been studied and has recently been frequently revisited due to the need for interpretable models. Still, existing methods have several shortcomings: 1) most recent methods require a binary feature matrix as input,…

Machine Learning · Computer Science 2022-07-19 Lincen Yang , Matthijs van Leeuwen

A mechanism is proposed that allows to interpret the temporal evolution of a physical system as a result of the inability of an observer to record its whole state and a simple example is given. It is based on a review of the concepts of…

General Physics · Physics 2010-10-15 Alberto Bicego

Because organisms are able to sense its passage, it is perhaps tempting to treat time as a sensory modality, akin to vision or audition. Indeed, certain features of sensory estimation, such as Weber's law, apply to timing and sensation…

Neurons and Cognition · Quantitative Biology 2025-04-01 Caroline Haimerl , Filipe S. Rodrigues , Joseph J. Paton

According to the dominant view, time in perceptual decision making is used for integrating new sensory evidence. Based on a probabilistic framework, we investigated the alternative hypothesis that time is used for gradually refining an…

Neurons and Cognition · Quantitative Biology 2015-02-12 Máté Lengyel , Ádám Koblinger , Marjena Popović , József Fiser

Temporal information conveyed by language describes how the world around us changes through time. Events, durations and times are all temporal elements that can be viewed as intervals. These intervals are sometimes temporally related in…

Computation and Language · Computer Science 2012-03-23 Leon Derczynski , Robert Gaizauskas

Autonomous systems embedded with machine learning modules often rely on deep neural networks for classifying different objects of interest in the environment or different actions or strategies to take for the system. Due to the…

Systems and Control · Electrical Eng. & Systems 2020-04-07 Zhe Xu

The analysis of temporal networks heavily depends on the analysis of time-respecting paths. However, before being able to model and analyze the time-respecting paths, we have to infer the timescales at which the temporal edges influence…

Physics and Society · Physics 2023-01-30 Luka V. Petrović , Anatol Wegner , Ingo Scholtes

A scientific reasoning system makes decisions using objective evidence in the form of independent experimental trials, propositional axioms, and constraints on the probabilities of events. As a first step towards this goal, we propose a…

Artificial Intelligence · Computer Science 2013-04-05 David Sher

Temporal causal representation learning is a powerful tool for uncovering complex patterns in observational studies, which are often represented as low-dimensional time series. However, in many real-world applications, data are…

Machine Learning · Computer Science 2025-07-21 Jianhong Chen , Meng Zhao , Mostafa Reisi Gahrooei , Xubo Yue

Recommender systems are a valuable way to engage users in a system, increase participation and show them resources they may not have found otherwise. One significant challenge is that user interests may change over time and certain items…

Information Retrieval · Computer Science 2020-06-17 Oznur Alkan , Elizabeth Daly

We present a novel approach to learn the formulae characterising the emergent behaviour of a dynamical system from system observations. At a high level, the approach starts by devising a statistical dynamical model of the system which…

Logic in Computer Science · Computer Science 2013-12-31 Ezio Bartocci , Luca Bortolussi , Guido Sanguinetti

We consider the concept of a local set of inference rules. A local rule set can be automatically transformed into a rule set for which bottom-up evaluation terminates in polynomial time. The local-rule-set transformation gives…

Logic in Computer Science · Computer Science 2007-05-23 Robert Givan , David McAllester

The current work is motivated by the need for robust statistical methods for precision medicine; as such, we address the need for statistical methods that provide actionable inference for a single unit at any point in time. We aim to learn…

Statistics Theory · Mathematics 2021-07-02 Ivana Malenica , Aurelien Bibaut , Mark J. van der Laan

We present a different approach to developing a concept of time for specifying temporality in the conceptual modeling of software and database systems. In the database field, various proposals and products address temporal data. The…

Software Engineering · Computer Science 2021-02-02 Sabah Al-Fedaghi