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Precise rules are developed in order to formalize the reasoning processes involved in standard non-relativistic quantum mechanics, with the help of analogies from classical physics. A classical or quantum description of a mechanical system…

Quantum Physics · Physics 2007-05-23 Robert B. Griffiths

The CAP theorem is a fundamental result that applies to distributed storage systems. In this paper, we first present and prove two CAP-like impossibility theorems. To state these theorems, we present probabilistic models to characterize the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-26 Muntasir Raihan Rahman , Lewis Tseng , Son Nguyen , Indranil Gupta , Nitin Vaidya

In large-scale networks of uncertain dynamical systems, where communication is limited and there is a strong interaction among subsystems, learning local models and control policies offers great potential for designing high-performance…

Systems and Control · Electrical Eng. & Systems 2021-11-08 Andrea Carron , Jerome Sieber , Melanie N. Zeilinger

Undoing computations of a concurrent system is beneficial in many situations, e.g., in reversible debugging of multi-threaded programs and in recovery from errors due to optimistic execution in parallel discrete event simulation. A number…

Logic in Computer Science · Computer Science 2024-02-13 Ivan Lanese , Iain Phillips , Irek Ulidowski

We develop a generalized stability framework for stochastic discrete-time systems, where the generality pertains to the ways in which the distribution of the state energy can be characterized. We use tools from finance and operations…

Systems and Control · Electrical Eng. & Systems 2022-11-23 Margaret P. Chapman , Dionysios S. Kalogerias

Structural causal models (SCMs), also known as (nonparametric) structural equation models (SEMs), are widely used for causal modeling purposes. In particular, acyclic SCMs, also known as recursive SEMs, form a well-studied subclass of SCMs…

Methodology · Statistics 2021-11-23 Stephan Bongers , Patrick Forré , Jonas Peters , Joris M. Mooij

These lecture notes cover basic automata-theoretic concepts and logical formalisms for the modeling and verification of concurrent and distributed systems. Many of these concepts naturally extend the classical automata and logics over…

Logic in Computer Science · Computer Science 2021-10-19 Benedikt Bollig , Paul Gastin

Over the past two decades, complex network theory provided the ideal framework for investigating the intimate relationships between the topological properties characterizing the wiring of connections among a system's unitary components and…

Fault-tolerant distributed algorithms are central for building reliable spatially distributed systems. Unfortunately, the lack of a canonical precise framework for fault-tolerant algorithms is an obstacle for both verification and…

Formal Languages and Automata Theory · Computer Science 2012-10-16 Annu John , Igor Konnov , Ulrich Schmid , Helmut Veith , Josef Widder

A robust and efficient Simultaneous Localization and Mapping (SLAM) system is essential for robot autonomy. For visual SLAM algorithms, though the theoretical framework has been well established for most aspects, feature extraction and…

Computer Vision and Pattern Recognition · Computer Science 2020-08-13 Dongjiang Li , Xuesong Shi , Qiwei Long , Shenghui Liu , Wei Yang , Fangshi Wang , Qi Wei , Fei Qiao

We formalize synthesis of shared control protocols with correctness guarantees for temporal logic specifications. More specifically, we introduce a modeling formalism in which both a human and an autonomy protocol can issue commands to a…

Robotics · Computer Science 2016-10-28 Nils Jansen , Murat Cubuktepe , Ufuk Topcu

Networked nonlinear systems present a variety of emergent phenomena as a result of the mutual interactions between their units. An interesting feature of these systems is the presence of stable periodic behavior even when each unit…

Adaptation and Self-Organizing Systems · Physics 2022-06-01 Leonard Hallier , Everton S. Medeiros , Antonio Mihara , Rene O. Medrano-T , Anna Zakharova

Literature on Constraint Satisfaction exhibits the definition of several structural properties that can be possessed by CSPs, like (in)consistency, substitutability or interchangeability. Current tools for constraint solving typically…

Artificial Intelligence · Computer Science 2014-01-16 Lucas Bordeaux , Marco Cadoli , Toni Mancini

Randomly-assembled dynamical systems are theoretically predicted to be unstable upon crossing a critical threshold of complexity, as first shown by May. Yet, empirical complex systems exhibit remarkable stability, indicating the presence of…

Disordered Systems and Neural Networks · Physics 2026-03-31 Francesco Ferraro , Christian Grilletta , Amos Maritan , Samir Suweis , Sandro Azaele

The paper considers the complexity of verifying that a finite state system satisfies a number of definitions of information flow security. The systems model considered is one in which agents operate synchronously with awareness of the…

Cryptography and Security · Computer Science 2014-02-05 Franck Cassez , Ron van der Meyden , Chenyi Zhang

Dynamical networks are important models for the behaviour of complex systems, modelling physical, biological and societal systems, including the brain, food webs, epidemic disease in populations, power grids and many other. Such dynamical…

Chaotic Dynamics · Physics 2017-03-27 Deniz Eroglu , Jeroen Lamb , Tiago Pereira

In this paper, we study the simultaneous stability problem of a finite number of locally inter-connected linear subsystems under practical constraints, including asynchronous and aperiodic sampling, time-varying delays, and measurement…

Optimization and Control · Mathematics 2017-10-06 Feng Xiao , Yang Shi , Wei Ren

Distributed sensor networks are commonly operated through coincidence logic: if detector reports overlap within a prescribed time window, an event is declared. While effective for clean, high-significance signals, this approach becomes…

Instrumentation and Detectors · Physics 2026-03-27 Thammarat Yawisit

Confidence intervals based on the central limit theorem (CLT) are a cornerstone of classical statistics. Despite being only asymptotically valid, they are ubiquitous because they permit statistical inference under weak assumptions and can…

Statistics Theory · Mathematics 2024-03-15 Ian Waudby-Smith , David Arbour , Ritwik Sinha , Edward H. Kennedy , Aaditya Ramdas

We present DataFlow, a computational framework for building, testing, and deploying high-performance machine learning systems on unbounded time-series data. Traditional data science workflows assume finite datasets and require substantial…

Machine Learning · Computer Science 2026-01-01 Giacinto Paolo Saggese , Paul Smith