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The aim of this paper is to present an elementary computable theory of random variables, based on the approach to probability via valuations. The theory is based on a type of lower-measurable sets, which are controlled limits of open sets,…

Logic in Computer Science · Computer Science 2021-01-05 Pieter Collins

Many classification problems require decisions among a large number of competing classes. These tasks, however, are not handled well by general purpose learning methods and are usually addressed in an ad-hoc fashion. We suggest a general…

Artificial Intelligence · Computer Science 2007-05-23 Yair Even-Zohar , Dan Roth

Programs are more distributed and concurrent today than ever before, and structural communications are at the core. Constructing and debugging such programs are hard due to the lack of formal specification/verification of concurrency. This…

Programming Languages · Computer Science 2018-08-02 Hanwen Wu , Hongwei Xi

We give a short overview of recent results on a specific class of Markov process: the Piecewise Deterministic Markov Processes (PDMPs). We first recall the definition of these processes and give some general results. On more specific cases…

Statistics Theory · Mathematics 2013-09-25 Romain Azaïs , Jean-Baptiste Bardet , Alexandre Genadot , Nathalie Krell , Pierre-André Zitt

The described tagger is based on a hidden Markov model and uses tags composed of features such as part-of-speech, gender, etc. The contextual probability of a tag (state transition probability) is deduced from the contextual probabilities…

cmp-lg · Computer Science 2008-02-03 Andre Kempe

Much research has studied foundations for correct and reliable communication-centric systems. A salient approach to correctness uses session types to enforce structured communications; a recent approach to reliability uses reversible…

Logic in Computer Science · Computer Science 2016-06-21 Claudio A. Mezzina , Jorge A. Pérez

Up to now session types have been used under the assumptions of point to point communication, to ensure the linearity of session endpoints, and reliable communication, to ensure send/receive duality. In this paper we define a session type…

Programming Languages · Computer Science 2014-06-16 Dimitrios Kouzapas , Ramūnas Gutkovas , Simon J. Gay

We study a variable length Markov chain model associated with a group of stationary processes that share the same context tree but each process has potentially different conditional probabilities. We propose a new model selection and…

Methodology · Statistics 2016-01-01 Alexandre Belloni , Roberto I. Oliveira

This paper presents a wp-style calculus for obtaining bounds on the expected run-time of probabilistic programs. Its application includes determining the (possibly infinite) expected termination time of a probabilistic program and proving…

Logic in Computer Science · Computer Science 2022-02-17 Benjamin Lucien Kaminski , Joost-Pieter Katoen , Christoph Matheja , Federico Olmedo

In this paper we work on (bi)simulation semantics of processes that exhibit both nondeterministic and probabilistic behaviour. We propose a probabilistic extension of the modal mu-calculus and show how to derive characteristic formulae for…

Logic in Computer Science · Computer Science 2015-05-19 Yuxin Deng , Rob van Glabbeek

We propose algebraic protocols that enable the definition of protocol templates and session types analogous to the definition of domain-specific types with algebraic datatypes. Parameterized algebraic protocols subsume all regular as well…

Programming Languages · Computer Science 2023-04-10 Andreia Mordido , Janek Spaderna , Peter Thiemann , Vasco T. Vasconcelos

Probabilistic specifications are fast gaining ground as a tool for statistical modeling of probabilistic systems. One of the main goals of formal methods in this domain is to ensure that specific behavior is present or absent in the system,…

Logic in Computer Science · Computer Science 2022-06-14 Carlos Olarte , Camilo Rocha , Daniel Osorio

Matched case-control studies are commonly employed in epidemiological research for their convenience and efficiency. Analysis of secondary outcomes can yield valuable insights into biological pathways and help identify genetic variants of…

Methodology · Statistics 2026-02-24 Shanshan Liu , Guoqing Diao

We introduce two-sided type systems, which are sequent calculi for typing formulas. Two-sided type systems allow for hypothetical reasoning over the typing of compound program expressions, and the refutation of typing formulas. By…

Programming Languages · Computer Science 2023-10-23 Steven Ramsay , Charlie Walpole

Count outcomes in longitudinal studies are frequent in clinical and engineering studies. In frequentist and Bayesian statistical analysis, methods such as Mixed linear models allow the variability or correlation within individuals to be…

Methodology · Statistics 2024-07-15 Alejandra Estefanía Patiño Hoyos , Johnatan Cardona Jiménez

We are studying long term sequence prediction (forecasting). We approach this by investigating criteria for choosing a compact useful state representation. The state is supposed to summarize useful information from the history. We want a…

Machine Learning · Computer Science 2012-02-10 Peter Sunehag , Marcus Hutter

This paper introduces the concept of random context representations for the transition probabilities of a finite-alphabet stochastic process. Processes with these representations generalize context tree processes (a.k.a. variable length…

Probability · Mathematics 2016-12-09 Roberto Imbuzeiro Oliveira

This paper builds on prior work investigating the adaptation of session types to provide behavioural information about Elixir modules. A type system called ElixirST has been constructed to statically determine whether functions in an Elixir…

Programming Languages · Computer Science 2022-08-10 Gerard Tabone , Adrian Francalanza

This paper presents the first formalisation of the precise subtyping relation for asynchronous multiparty sessions. We show that our subtyping relation is sound (i.e., guarantees safe process replacement) and also complete: any extension of…

Logic in Computer Science · Computer Science 2020-10-28 Silvia Ghilezan , Jovanka Pantović , Ivan Prokić , Alceste Scalas , Nobuko Yoshida

Recommender systems are designed to help users in situations of information overload. In recent years, we observed increased interest in session-based recommendation scenarios, where the problem is to make item suggestions to users based…

Information Retrieval · Computer Science 2021-09-15 Sara Latifi , Noemi Mauro , Dietmar Jannach