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This paper advocates the usefulness of new theories of uncertainty for the purpose of modeling some facets of uncertain knowledge, especially vagueness, in AI. It can be viewed as a partial reply to Cheeseman's (among others) defense of…

Artificial Intelligence · Computer Science 2013-04-10 Didier Dubois , Henri Prade

A fundamental result in psycholinguistics is that less predictable words take a longer time to process. One theoretical explanation for this finding is Surprisal Theory (Hale, 2001; Levy, 2008), which quantifies a word's predictability as…

Computation and Language · Computer Science 2025-04-15 Ethan Gotlieb Wilcox , Tiago Pimentel , Clara Meister , Ryan Cotterell , Roger P. Levy

This paper proposes an abstract mathematical frame for describing some features of cognitive and biological time. We focus here on the so called "extended present" as a result of protentional and retentional activities (memory and…

Other Quantitative Biology · Quantitative Biology 2012-04-09 Giuseppe Longo , Maël Montévil

This paper provides a comprehensive framework for designing functional observers for linear systems subject to delayed output measurements. Moving beyond traditional methodologies, the proposed observer generates an estimate $\hat{z}(t)$…

Systems and Control · Electrical Eng. & Systems 2026-04-21 H. Trinh , P. T. Nam , T. N. Nguyen

We investigate the global scheduling of sporadic, implicit deadline, real-time task systems on multiprocessor platforms. We provide a task model which integrates job parallelism. We prove that the time-complexity of the feasibility problem…

Operating Systems · Computer Science 2008-05-22 S. Collette , L. Cucu , J. Goossens

Formal properties represent a cornerstone of the system-correctness proofs based on formal verification techniques such as model checking. Formalizing requirements into temporal properties may be very complex and error prone, due not only…

Logic in Computer Science · Computer Science 2017-09-08 Stefano Tonetta

Deciding the best future execution time is a critical task in many business activities while evolving time series forecasting, and optimal timing strategy provides such a solution, which is driven by observed data. This solution has plenty…

Artificial Intelligence · Computer Science 2023-10-10 Chen Pan , Fan Zhou , Xuanwei Hu , Xinxin Zhu , Wenxin Ning , Zi Zhuang , Siqiao Xue , James Zhang , Yunhua Hu

A key issue in the handling of temporal data is the treatment of persistence; in most approaches it consists in inferring defeasible confusions by extrapolating from the actual knowledge of the history of the world; we propose here a…

Artificial Intelligence · Computer Science 2013-03-08 Dimiter Driankov , Jerome Lang

Occasional deadline misses are acceptable for soft real-time systems. Quantifying probabilistic and deterministic characteristics of deadline misses is therefore essential to ensure that deadline misses indeed happen only occasionally. This…

Performance · Computer Science 2024-01-30 Jian-Jia Chen , Mario Günzel , Peter Bella , Georg von der Brüggen , Kuan-Hsun Chen

The current state-of-the-art in artificial intelligence is impressive, especially in terms of mastery of language, but not so much in terms of mathematical reasoning. What could be missing? Can we learn something useful about that gap from…

Artificial Intelligence · Computer Science 2024-03-08 Yoshua Bengio , Nikolay Malkin

We show that strategies implemented in automatic theorem proving involve an interesting tradeoff between execution speed, proving speedup/computational time and usefulness of information. We advance formal definitions for these concepts by…

Logic in Computer Science · Computer Science 2015-06-16 Santiago Hernández-Orozco , Francisco Hernández-Quiroz , Hector Zenil , Wilfried Sieg

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…

Chaotic Dynamics · Physics 2016-01-20 DJ Albers , George Hripcsak

We propose an integration of possibility theory into non-classical logics. We obtain many formal results that generalize the case where possibility and necessity functions are based on classical logic. We show how useful such an approach is…

Artificial Intelligence · Computer Science 2013-02-28 Philippe Besnard , Jerome Lang

Explaining predictions based on multivariate time series data carries the additional difficulty of handling not only multiple features, but also time dependencies. It matters not only what happened, but also when, and the same feature could…

Machine Learning · Computer Science 2023-05-31 Joseph Enguehard

We study the regime of anticipated synchronization recently described on a number of dynamical systems including chaotic and noisy ones. We use simple linear caricatures to show the minimal setups able to reproduce the basic facts…

Condensed Matter · Physics 2007-09-27 Oscar Calvo , Dante R. Chialvo , Victor M. Eguiluz , Claudio Mirasso , Raul Toral

We study individual decision-making behavioral on generic view. Using a formal mathematical model, we investigate the action mechanism of decision behavioral under subjective perception changing of task attributes. Our model is built on…

General Economics · Economics 2018-09-14 Xingguang Chen

We present a learning theory for the training of a linear system operator having an input compositional variable and propose a Bayesian inversion method for inferring the unknown variable from an output of a noisy linear system. We assume…

Machine Learning · Statistics 2018-07-03 Se Un Park

Model retraining is usually treated as an ongoing maintenance task. But as Harrison Katz now argues, retraining can be better understood as approximate Bayesian inference under computational constraints. The gap between a continuously…

Artificial Intelligence · Computer Science 2026-03-27 Harrison Katz

The Logical Execution Time (LET) model has been gaining industrial attention because of its timing and data-flow deterministic characteristics, which simplify the computation of end-to-end latencies of multi-rate cause-effect chains at the…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Luiz Maia , Gerhard Fohler

A task decomposition method for iterative learning model predictive control is presented. We consider a constrained nonlinear dynamical system and assume the availability of state-input pair datasets which solve a task T1. Our objective is…

Systems and Control · Electrical Eng. & Systems 2020-03-13 Charlott Vallon , Francesco Borrelli
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