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The properties of the normal distribution under linear transformation, as well the easy way to compute the covariance matrix of marginals and conditionals, offer a unique opportunity to get an insight about several aspects of uncertainties…

Data Analysis, Statistics and Probability · Physics 2018-02-12 Giulio D'Agostini

Prior knowledge and symbolic rules in machine learning are often expressed in the form of label constraints, especially in structured prediction problems. In this work, we compare two common strategies for encoding label constraints in a…

Machine Learning · Computer Science 2023-07-11 Kaifu Wang , Hangfeng He , Tin D. Nguyen , Piyush Kumar , Dan Roth

Machine learning algorithms generally suffer from a problem of explainability. Given a classification result from a model, it is typically hard to determine what caused the decision to be made, and to give an informative explanation. We…

Machine Learning · Computer Science 2019-06-26 Jonathan Moore , Nils Hammerla , Chris Watkins

This paper presents a novel technique for counterexample generation in probabilistic model checking of Markov Chains and Markov Decision Processes. (Finite) paths in counterexamples are grouped together in witnesses that are likely to…

Logic in Computer Science · Computer Science 2008-06-09 Miguel E. Andres , Pedro D'Argenio , Peter van Rossum

We propose an automated verification technique for hypersafety properties, which express sets of valid interrelations between multiple finite runs of a program. The key observation is that constructing a proof for a small representative set…

Programming Languages · Computer Science 2019-05-23 Azadeh Farzan , Anthony Vandikas

This paper investigates the combination of model predictive control (MPC) concepts and posterior sampling techniques and proposes a simple constraint tightening technique to introduce cautiousness during explorative learning episodes. The…

Systems and Control · Electrical Eng. & Systems 2022-09-22 Kim P. Wabersich , Melanie N. Zeilinger

In this paper we deal with verification of safety properties of parameterized systems with a tree topology. The verification problem is translated to a purely logical problem of finding a finite countermodel for a first-order formula, which…

Logic in Computer Science · Computer Science 2011-07-27 Alexei Lisitsa

As the complexity of software systems rises, methods for explaining their behaviour are becoming ever-more important. When a system fails, it is critical to determine which of its components are responsible for this failure. Within the…

Formal Languages and Automata Theory · Computer Science 2026-02-23 Christel Baier , Rio Klatt , Sascha Klüppelholz , Max Korn , Johannes Lehmann

Probabilistic programs are key to deal with uncertainty in e.g. controller synthesis. They are typically small but intricate. Their development is complex and error prone requiring quantitative reasoning over a myriad of alternative…

Software Engineering · Computer Science 2019-04-30 Milan Češka , Christian Hensel , Sebastian Junges , Joost-Pieter Katoen

While a mature body of work supports the study of rewriting systems, abstract tools for Probabilistic Rewriting are still limited. In this paper we study the question of uniqueness of the result (unique limit distribution), and develop a…

Logic in Computer Science · Computer Science 2023-06-22 Claudia Faggian

External controls from historical trials or observational data can augment randomized controlled trials when large-scale randomization is impractical or unethical, such as in drug evaluation for rare diseases. However, non-randomized…

Methodology · Statistics 2025-05-08 Ke Zhu , Shu Yang , Xiaofei Wang

Approximate Bayesian inference on the basis of summary statistics is well-suited to complex problems for which the likelihood is either mathematically or computationally intractable. However the methods that use rejection suffer from the…

Computation · Statistics 2010-05-04 M. G. B. Blum , O. Francois

We present a new type system combining occurrence typing, previously used to type check programs in dynamically-typed languages such as Racket, JavaScript, and Ruby, with dependent refinement types. We demonstrate that the addition of…

Programming Languages · Computer Science 2016-10-05 Andrew M. Kent , David Kempe , Sam Tobin-Hochstadt

This study examines the application of Bayesian approach in the context of clinical trials, emphasizing their increasing importance in contemporary biomedical research. While conventional frequentist approach provides a foundational basis…

Methodology · Statistics 2026-01-16 Paramahansa Pramanik , Arnab Kumar Maity , Anjan Mandal , Haley Kate Robinson

The determination of the fundamental parameters of the Standard Model (and its extensions) is often limited by the presence of statistical and theoretical uncertainties. We present several models for the latter uncertainties (random,…

High Energy Physics - Phenomenology · Physics 2017-04-26 Jérôme Charles , Sébastien Descotes-Genon , Valentin Niess , Luiz Vale Silva

There has been an increasing demand for formal methods in the design process of safety-critical synthetic genetic circuits. Probabilistic model checking techniques have demonstrated significant potential in analyzing the intrinsic…

Emerging Technologies · Computer Science 2019-01-24 Thakur Neupane , Zhen Zhang , Curtis Madsen , Hao Zheng , Chris J. Myers

Sequential estimation of the success probability $p$ in inverse binomial sampling is considered in this paper. For any estimator $\hat p$, its quality is measured by the risk associated with normalized loss functions of linear-linear or…

Statistics Theory · Mathematics 2018-12-18 Luis Mendo

In this paper, we study the possibility of designing non-trivial random CSP models by exploiting the intrinsic connection between structures and typical-case hardness. We show that constraint consistency, a notion that has been developed to…

Artificial Intelligence · Computer Science 2011-10-12 J. Culberson , Y. Gao

We present an approach to the verification of systems for whose description some elements - constants or functions - are underspecified and can be regarded as parameters, and, in particular, describe a method for automatically generating…

Logic in Computer Science · Computer Science 2023-10-30 Dennis Peuter , Philipp Marohn , Viorica Sofronie-Stokkermans

Models based on approximation capabilities have recently been studied in the context of Optimal Recovery. These models, however, are not compatible with overparametrization, since model- and data-consistent functions could then be…

Optimization and Control · Mathematics 2020-04-02 Simon Foucart