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This paper considers the approximation of the continuous time filtering equation for the case of a multiple timescale (slow-intermediate, and fast scales) that may have correlation between the slow-intermediate process and the observation…

Probability · Mathematics 2020-11-02 Ryne Beeson , N. Sri Namachchivaya , Nicolas Perkowski

Where graphs are used for modelling and specifying systems, consistency is an important concern. To be a valid model of a system, the graph structure must satisfy a number of constraints. To date, consistency has primarily been viewed as a…

Logic in Computer Science · Computer Science 2021-11-02 Jens Kosiol , Daniel Strüber , Gabriele Taentzer , Steffen Zschaler

This paper presents and philosophically assesses three types of results on the observational equivalence of continuous-time measure-theoretic deterministic and indeterministic descriptions. The first results establish observational…

Dynamical Systems · Mathematics 2013-10-08 Charlotte Werndl

With the growing number of devices, sensors and digital systems, data logs may become uncertain due to, e.g., sensor reading inaccuracies or incorrect interpretation of readings by processing programs. At times, such uncertainties can be…

Artificial Intelligence · Computer Science 2023-11-22 Eli Bogdanov , Izack Cohen , Avigdor Gal

The instance discrimination paradigm has become dominant in unsupervised learning. It always adopts a teacher-student framework, in which the teacher provides embedded knowledge as a supervision signal for the student. The student learns…

Computer Vision and Pattern Recognition · Computer Science 2021-08-25 Weixin Feng , Yuanjiang Wang , Lihua Ma , Ye Yuan , Chi Zhang

In this paper, we study estimation of potentially unstable linear dynamical systems when the observations are distributed over a network. We are interested in scenarios when the information exchange among the agents is restricted. In…

Information Theory · Computer Science 2011-11-22 Usman A. Khan , Ali Jadbabaie

A special case of the satisfiability problem, in which the clauses have a hierarchical structure, is shown to be solvable in linear time, assuming that the clauses have been represented in a convenient way.

Computational Complexity · Computer Science 2008-02-03 Donald E. Knuth

There has been a growing interest in defining models of automata enriched with time, such as finite automata extended with clocks (timed automata). In this paper, we study deterministic timed finite state machines (TFSMs), i.e., finite…

Formal Languages and Automata Theory · Computer Science 2021-03-09 Davide Bresolin , Khaled El-Fakih , Tiziano Villa , Nina Yevtushenko

A trade-off between accuracy and fairness is almost taken as a given in the existing literature on fairness in machine learning. Yet, it is not preordained that accuracy should decrease with increased fairness. Novel to this work, we…

Machine Learning · Statistics 2020-12-14 Sanghamitra Dutta , Dennis Wei , Hazar Yueksel , Pin-Yu Chen , Sijia Liu , Kush R. Varshney

Coherence is an essential property of well-written texts, that refers to the way textual units relate to one another. In the era of generative AI, coherence assessment is essential for many NLP tasks; summarization, generation, long-form…

Computation and Language · Computer Science 2024-08-14 Aviya Maimon , Reut Tsarfaty

Linearizability is the de facto correctness criterion for concurrent data structures. Unfortunately, linearizability imposes a performance penalty which scales linearly in the number of contending threads. Quiescent consistency is an…

Programming Languages · Computer Science 2014-04-29 Radha Jagadeesan , James Riely

Is matching in NC, i.e., is there a deterministic fast parallel algorithm for it? This has been an outstanding open question in TCS for over three decades, ever since the discovery of randomized NC matching algorithms [KUW85, MVV87]. Over…

Data Structures and Algorithms · Computer Science 2020-11-10 Nima Anari , Vijay V. Vazirani

Consistency properties of concurrent computations, e.g., sequential consistency, linearizability, or eventual consistency, are essential for devising correct concurrent algorithms. In this paper, we present a logical formalization of such…

Logic in Computer Science · Computer Science 2013-05-13 Klaus v. Gleissenthall , Andrey Rybalchenko

CNN feature spaces can be linearly mapped and consequently are often interchangeable. This equivalence holds across variations in architectures, training datasets, and network tasks. Specifically, we mapped between 10 image-classification…

Computer Vision and Pattern Recognition · Computer Science 2021-02-15 David McNeely-White , Benjamin Sattelberg , Nathaniel Blanchard , Ross Beveridge

The Thermal Time Hypotheis (TTH) has been proposed as a general method for identifying a time variable from within background-free theories which do not come equipped with a pre-defined clock variable. Here, we explore some implications of…

General Relativity and Quantum Cosmology · Physics 2011-08-04 Nicolas C. Menicucci , S. Jay Olson , Gerard J. Milburn

The relation between the notion of crystalline symmetry and characteristic time intervals when this symmetry could be observed is analyzed. Several time scales are shown to exist for a system of interacting particles. It is only when the…

Condensed Matter · Physics 2017-08-23 V. I. Yukalov , E. P. Yukalova

This paper revisits the classical notion of sampling in the setting of real-time temporal logics for the modeling and analysis of systems. The relationship between the satisfiability of Metric Temporal Logic (MTL) formulas over…

Logic in Computer Science · Computer Science 2015-03-13 Carlo A. Furia , Matteo Rossi

Flow matching (FM) is a general framework for defining probability paths via Ordinary Differential Equations (ODEs) to transform between noise and data samples. Recent approaches attempt to straighten these flow trajectories to generate…

Computer Vision and Pattern Recognition · Computer Science 2024-07-03 Ling Yang , Zixiang Zhang , Zhilong Zhang , Xingchao Liu , Minkai Xu , Wentao Zhang , Chenlin Meng , Stefano Ermon , Bin Cui

In this paper we present an algorithm for performing runtime verification of a bounded temporal logic over timed runs. The algorithm consists of three elements. First, the bounded temporal formula to be verified is translated into a monadic…

Logic in Computer Science · Computer Science 2007-06-01 Henrik Reif Andersen , Kaare J. Kristoffersen

Nested conditions are used, among other things, as a graphical way to express first order formulas ruling the applicability of a graph transformation rule to a given match. In this paper, we propose (for the first time) a notion of…

Logic in Computer Science · Computer Science 2024-08-13 Arend Rensink , Andrea Corradini
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