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In this contribution we revisit regular model checking, a powerful framework that has been successfully applied for the verification of infinite-state systems, especially parameterized systems (concurrent systems with an arbitrary number of…

Logic in Computer Science · Computer Science 2021-11-23 Anthony W. Lin , Philipp Rümmer

We present an efficient parametric model checking (PMC) technique for the analysis of software performability, i.e., of the performance and dependability properties of software systems. The new PMC technique works by automatically…

Logic in Computer Science · Computer Science 2022-10-25 Xinwei Fang , Radu Calinescu , Simos Gerasimou , Faisal Alhwikem

We consider deep multivariate models for heterogeneous collections of random variables. In the context of computer vision, such collections may e.g. consist of images, segmentations, image attributes, and latent variables. When developing…

Machine Learning · Computer Science 2026-02-03 Dmitrij Schlesinger , Boris Flach , Alexander Shekhovtsov

Many algorithms are specified with respect to a fixed but unspecified parameter. Examples of this are especially common in cryptography, where protocols often feature a security parameter such as the bit length of a secret key. Our aim is…

Logic in Computer Science · Computer Science 2025-10-28 Alessandro Di Giorgio , Pawel Sobocinski , Niels Voorneveld

Parameter inference and uncertainty quantification are important steps when relating mathematical models to real-world observations, and when estimating uncertainty in model predictions. However, methods for doing this can be…

Quantitative Methods · Quantitative Biology 2025-08-27 Michael J. Plank , Matthew J. Simpson

This paper studies parametric Markov decision processes (pMDPs), an extension to Markov decision processes (MDPs) where transitions probabilities are described by polynomials over a finite set of parameters. Fixing values for all parameters…

Logic in Computer Science · Computer Science 2019-04-03 Tobias Winkler , Sebastian Junges , Guillermo A. Pérez , Joost-Pieter Katoen

In simulations of multiscale dynamical systems, not all relevant processes can be resolved explicitly. Taking the effect of the unresolved processes into account is important, which introduces the need for paramerizations. We present a…

Numerical Analysis · Mathematics 2021-04-14 Daan Crommelin , Wouter Edeling

We present in this paper a way to transform a constrained statistical inference problem into an unconstrained one in order to be able to use modern computational methods, such as those based on automatic differentiation, GPU computing,…

Computation · Statistics 2023-01-23 Jean-Benoist Leger

Scientific explanation often requires inferring maximally predictive features from a given data set. Unfortunately, the collection of minimal maximally predictive features for most stochastic processes is uncountably infinite. In such…

Statistical Mechanics · Physics 2017-05-31 Sarah E. Marzen , James P. Crutchfield

This paper derives a somewhat surprising but interesting enough result on the stabilizability of discrete-time parameterized uncertain systems. Contrary to an intuition, it shows that the growth rate of a discrete-time stabilizable system…

Optimization and Control · Mathematics 2018-10-19 Zhaobo Liu , Chanying Li

Mechanistic network models specify the mechanisms by which networks grow and change, allowing researchers to investigate complex systems using both simulation and analytical techniques. Unfortunately, it is difficult to write likelihoods…

Methodology · Statistics 2023-07-19 Jonathan Larson , Jukka-Pekka Onnela

The task of listing all triangles in an undirected graph is a fundamental graph primitive with numerous applications. It is trivially solvable in time cubic in the number of vertices. It has seen a significant body of work contributing to…

Data Structures and Algorithms · Computer Science 2018-12-24 Matthias Bentert , Till Fluschnik , André Nichterlein , Rolf Niedermeier

Multivariable parametric models are critical for designing, controlling, and optimizing the performance of engineered systems. The main aim of this paper is to develop a parametric identification strategy that delivers accurate and…

Signal Processing · Electrical Eng. & Systems 2025-07-01 Maarten van der Hulst , Rodrigo González , Koen Classens , Nic Dirkx , Jeroen van de Wijdeven , Tom Oomen

Adaptive Markov chain Monte Carlo (MCMC) algorithms, which automatically tune their parameters based on past samples, have proved extremely useful in practice. The self-tuning mechanism makes them `non-Markovian', which means that their…

Probability · Mathematics 2024-08-28 Pietari Laitinen , Matti Vihola

We consider the reduction of parametric families of linear dynamical systems having an affine parameter dependence that differ from one another by a low-rank variation in the state matrix. Usual approaches for parametric model reduction…

Numerical Analysis · Mathematics 2019-12-25 Christopher Beattie , Serkan Gugercin , Zoran Tomljanovic

A large-scale complex system comprising many, often spatially distributed, dynamical subsystems with partial autonomy and complex interactions are called system of systems. This paper describes an efficient algorithm for model predictive…

Optimization and Control · Mathematics 2019-04-25 Branimir Novoselnik , Vedrana Spudić , Mato Baotić

Probabilistic model checking mainly concentrates on techniques for reasoning about the probabilities of certain path properties or expected values of certain random variables. For the quantitative system analysis, however, there is also…

Logic in Computer Science · Computer Science 2013-01-11 Michael Ummels , Christel Baier

We provide an analytical framework for balanced realization model order reduction of linear control systems which depend on an unknown parameter. Besides recovering known results for the first order corrections, we obtain explicit novel…

Systems and Control · Computer Science 2016-06-24 Carles Batlle , Nestor Roqueiro

Inspired by distributed applications that use consensus or other agreement protocols for global coordination, we define a new computational model for parameterized systems that is based on a general global synchronization primitive and…

Formal Languages and Automata Theory · Computer Science 2021-05-07 Nouraldin Jaber , Swen Jacobs , Christopher Wagner , Milind Kulkarni , Roopsha Samanta

Using Bayesian methods for extreme value analysis offers an alternative to frequentist ones, with several advantages such as easily dealing with parametric uncertainty or studying irregular models. However, computations can be challenging…

Methodology · Statistics 2023-06-12 Théo Moins , Julyan Arbel , Stéphane Girard , Anne Dutfoy