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The adoption of machine learning in high-stakes applications such as healthcare and law has lagged in part because predictions are not accompanied by explanations comprehensible to the domain user, who often holds the ultimate…

We consider three types of entities for quantum measurements. In order of generality, these types are: observables, instruments and measurement models. If $\alpha$ and $\beta$ are entities, we define what it means for $\alpha$ to be a part…

Quantum Physics · Physics 2022-09-01 Stan Gudder

We propose a method of classifying the operation of a system into finitely many modes. Each mode has its own objectives for the system's behaviour and its own mathematical models and algorithms designed to accomplish its objectives. A…

Logic in Computer Science · Computer Science 2021-07-14 Edwin Beggs , John V. Tucker

Complex system design often proceeds in an iterative fashion, starting from a high-level model and adding detail as the design matures. This process can be assisted by metamodeling techniques that automate some model manipulations and check…

Systems and Control · Electrical Eng. & Systems 2019-10-10 Natasha Jarus , Sahra Sedigh Sarvestani , Ali R. Hurson

Electrification in the automotive industry and increasing powertrain complexity demand accelerated, cost-effective development cycles. While data-driven models are recently investigated at component level, a gap exists in systematically…

Systems and Control · Electrical Eng. & Systems 2025-12-17 Eymen Ipek , Mario Hirz

Molecular simulations and biophysical experiments can be used to provide independent and complementary insights into the molecular origin of biological processes. A particularly useful strategy is to use molecular simulations as a modelling…

Chemical Physics · Physics 2019-12-10 Simone Orioli , Andreas Haahr Larsen , Sandro Bottaro , Kresten Lindorff-Larsen

This study intends to introduce kernel mean embedding of probability measures over infinite-dimensional separable Hilbert spaces induced by functional response statistical models. The embedded function represents the concentration of…

Statistics Theory · Mathematics 2020-11-05 Saeed Hayati , Kenji Fukumizu , Afshin Parvardeh

Much of our mechanistic understanding of the functions of biological macromolecules is based on static structural experiments, which can be modelled either as single structures or conformational ensembles. While these provide us with…

Biomolecules · Quantitative Biology 2025-10-02 Daria Gusew , Carl G. Henning Hansen , Kresten Lindorff-Larsen

In order to enable model-based, iterative design of safety-relevant systems, an efficient incorporation of safety and system engineering is a pressing need. Our approach interconnects system design and safety analysis models efficiently…

Other Computer Science · Computer Science 2021-06-02 Marc Zeller , Kai Hoefig

We advocate the use of qualitative models in the analysis of large biological systems. We show how qualitative models are linked to theoretical differential models and practical graphical models of biological networks. A new technique for…

Molecular Networks · Quantitative Biology 2007-05-23 Philippe Veber , Michel Le_Borgne , Anne Siegel , Sandrine Lagarrigue , Ovidiu Radulescu

This paper provides an overview of the CODA framework for modelling and refinement of component-based embedded systems. CODA is an extension of Event-B and UML-B and is supported by a plug-in for the Rodin toolset. CODA augments Event-B…

Software Engineering · Computer Science 2013-05-28 Michael Butler , John Colley , Andrew Edmunds , Colin Snook , Neil Evans , Neil Grant , Helen Marshall

A complex system is a system composed of many interacting parts, often called agents, which displays collective behavior that does not follow trivially from the behaviors of the individual parts. Examples include condensed matter systems,…

Statistical Mechanics · Physics 2011-12-08 M. E. J. Newman

In this paper we propose an approach for measuring growth of complexity of emerging patterns in complex systems such as cellular automata. We discuss several ways how a metric for measuring the complexity growth can be defined. This…

Cellular Automata and Lattice Gases · Physics 2022-07-22 Hugo Cisneros , Josef Sivic , Tomas Mikolov

Complex biological processes are usually experimented along time among a collection of individuals. Longitudinal data are then available and the statistical challenge is to better understand the underlying biological mechanisms. The…

Statistics Theory · Mathematics 2015-06-11 Pierre Barbillon , Célia Barthélémy , Adeline Samson

In this paper we present a theoretical foundation for a representation of a data set as a measure in a very large hierarchically parametrized family of positive measures, whose parameters can be computed explicitly (rather than estimated by…

Classical Analysis and ODEs · Mathematics 2020-06-16 Devasis Bassu , Peter W. Jones , Linda Ness , David Shallcross

Distributed representations of medical concepts have been used to support downstream clinical tasks recently. Electronic Health Records (EHR) capture different aspects of patients' hospital encounters and serve as a rich source for…

Computation and Language · Computer Science 2020-01-07 Shaika Chowdhury , Chenwei Zhang , Philip S. Yu , Yuan Luo

Software measurement programs have emerged as compounds of several measurement activities that are pursued as part of a combined effort of several parties within a software organization, based on interests that the organization has…

Software Engineering · Computer Science 2013-07-18 Alejandro Sanchez Guinea

We discuss a characterization of complexity based on successive approximations of the probability density describing a system by means of maximum entropy methods, thereby quantifying the respective role played by different orders of…

Cellular Automata and Lattice Gases · Physics 2014-08-05 Gregor Chliamovitch , Bastien Chopard , Lino Velasquez

Some well-known examples of constrained quantum systems commonly quantized via Feynman path integrals are re-examined using the notion of conditional integrators introduced in [1]. The examples yield some new perspectives on old results. As…

Mathematical Physics · Physics 2026-02-09 J. LaChapelle

Information theory and the framework of information dynamics have been used to provide tools to characterise complex systems. In particular, we are interested in quantifying information storage, information modification and information…

Information Theory · Computer Science 2013-03-25 Oliver Obst , Joschka Boedecker , Benedikt Schmidt , Minoru Asada
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