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We introduce Dynamic SOS as a framework for describing semantics of programming languages that include dynamic software upgrades, for upgrading software code during run-time. Dynamic SOS (DSOS) is built on top of the Modular SOS of P.…

Programming Languages · Computer Science 2018-07-24 Christian Johansen , Olaf Owe

In this paper, we study a class of nonsmooth fractional programs {\rm (FP, for short)} with SOS-convex semi-algebraic functions. Under suitable assumptions, we derive a strong duality result between the problem (FP) and its semidefinite…

Optimization and Control · Mathematics 2024-01-31 Chengmiao Yang , Liguo Jiao , Jae Hyoung Lee

The bialgebraic abstract GSOS framework by Turi and Plotkin provides an elegant categorical approach to modelling the operational and denotational semantics of programming and process languages. In abstract GSOS, bisimilarity is always a…

Programming Languages · Computer Science 2026-02-23 Sergey Goncharov , Marco Peressotti , Stelios Tsampas , Henning Urbat , Stefano Volpe

In complex inferential tasks like question answering, machine learning models must confront two challenges: the need to implement a compositional reasoning process, and, in many applications, the need for this reasoning process to be…

Computer Vision and Pattern Recognition · Computer Science 2019-03-08 Ronghang Hu , Jacob Andreas , Trevor Darrell , Kate Saenko

Before we combine actions and probabilities two very obvious questions should be asked. Firstly, what does "the probability of an action" mean? Secondly, how does probability interact with nondeterminism? Neither question has a single…

Software Engineering · Computer Science 2011-06-22 Steve Reeves , David Streader

We propose and analyze a specific asymptotic stochastic order for random processes based on the measure of departure discussed in the literature. As applications, we stochastically compare mixtures of order statistics and record values…

Probability · Mathematics 2021-03-04 Sugata Ghosh , Asok K. Nanda

In this paper, a connection between bi-free probability and the theory of non-commutative stochastic processes is examined. Specifically it is demonstrated that the transition operators for non-commutative stochastic processes can be…

Operator Algebras · Mathematics 2022-04-26 Paul Skoufranis

Currently, there is a gap between the tools used by probability theorists and those used in formal reasoning about probabilistic programs. On the one hand, a probability theorist decomposes probabilistic state along the simple and natural…

Programming Languages · Computer Science 2024-05-30 John M. Li , Jon Aytac , Philip Johnson-Freyd , Amal Ahmed , Steven Holtzen

This paper provides a concise summary of the framework of operational-probabilistic theories, aimed at emphasizing the interaction between category-theoretic and probabilistic structures. Within this framework, we review an operational…

Quantum Physics · Physics 2014-12-31 Giulio Chiribella

Probabilistic puzzles can be confusing, partly because they are formulated in natural languages - full of unclarities and ambiguities - and partly because there is no widely accepted and intuitive formal language to express them. We propose…

Logic in Computer Science · Computer Science 2025-04-11 Elena Di Lavore , Bart Jacobs , Mario Román

We provide a sparse version of the bounded degree SOS hierarchy BSOS [7] for polynomial optimization problems. It permits to treat large scale problems which satisfy a structured sparsity pattern. When the sparsity pattern satisfies the…

Optimization and Control · Mathematics 2017-05-30 Tillmann Weisser , Jean-Bernard Lasserre , Kim-Chuan Toh

Probabilistic Latent Semantic Analysis is a novel statistical technique for the analysis of two-mode and co-occurrence data, which has applications in information retrieval and filtering, natural language processing, machine learning from…

Machine Learning · Computer Science 2013-01-30 Thomas Hofmann

This paper presents an algorithmic method to study structural properties of nonlinear control systems in dependence of parameters. The result consists of a description of parameter configurations which cause different control-theoretic…

Optimization and Control · Mathematics 2012-12-04 Markus Lange-Hegermann , Daniel Robertz

Probabilistic transition system specifications (PTSSs) in the $nt \mu f\theta / nt\mu x\theta$ format provide structural operational semantics for Segala-type systems that exhibit both probabilistic and nondeterministic behavior and…

Logic in Computer Science · Computer Science 2015-08-28 Pedro R. D'Argenio , Matias David Lee , Daniel Gebler

A central paradigm behind process semantics based on observability and testing is that the exact moment of occurring of an internal nondeterministic choice is unobservable. It is natural, therefore, for this property to hold when the…

Logic in Computer Science · Computer Science 2009-07-10 Sonja Georgievska , Suzana Andova

Chordal and factor-width decomposition methods for semidefinite programming and polynomial optimization have recently enabled the analysis and control of large-scale linear systems and medium-scale nonlinear systems. Chordal decomposition…

Optimization and Control · Mathematics 2021-11-23 Yang Zheng , Giovanni Fantuzzi , Antonis Papachristodoulou

This volume contains the proceedings of the Combined 21st International Workshop on Expressiveness in Concurrency and the 11th Workshop on Structural Operational Semantics (EXPRESS/SOS 2014) which was held on 1st September 2014 in Rome,…

Logic in Computer Science · Computer Science 2014-08-07 Johannes Borgström , Silvia Crafa

Modal parameter estimation of operational structures is often a challenging task when confronted with unwanted distortions (outliers) in field measurements. Atypical observations present a problem to operational modal analysis (OMA)…

Machine Learning · Statistics 2024-06-25 Brandon J. O'Connell , Timothy J. Rogers

Programs that combine I/O and countable probabilistic choice, modulo either bisimilarity or trace equivalence, can be seen as describing a probabilistic strategy. For well-founded programs, we might expect to axiomatize bisimilarity via a…

Logic in Computer Science · Computer Science 2025-08-22 Nathan Bowler , Sergey Goncharov , Paul Blain Levy

We consider the task of predicting a response Y from a set of covariates X in settings where the conditional distribution of Y given X changes over time. For this to be feasible, assumptions on how the conditional distribution changes over…

Machine Learning · Statistics 2025-02-19 Margherita Lazzaretto , Jonas Peters , Niklas Pfister
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