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This paper presents a Probabilistic State Algebra as an extension of deterministic propositional logic, providing a computational framework for constructing Markov Random Fields (MRFs) through pure linear algebra. By mapping logical states…

Artificial Intelligence · Computer Science 2026-03-17 Dmitry Lesnik , Tobias Schäfer

Symbolic event recognition systems have been successfully applied to a variety of application domains, extracting useful information in the form of events, allowing experts or other systems to monitor and respond when significant events are…

Artificial Intelligence · Computer Science 2013-08-16 Anastasios Skarlatidis , Georgios Paliouras , Alexander Artikis , George A. Vouros

We introduce DeepProbLog, a probabilistic logic programming language that incorporates deep learning by means of neural predicates. We show how existing inference and learning techniques can be adapted for the new language. Our experiments…

Artificial Intelligence · Computer Science 2018-12-13 Robin Manhaeve , Sebastijan Dumančić , Angelika Kimmig , Thomas Demeester , Luc De Raedt

The distribution semantics is one of the most prominent approaches for the combination of logic programming and probability theory. Many languages follow this semantics, such as Independent Choice Logic, PRISM, pD, Logic Programs with…

Artificial Intelligence · Computer Science 2011-10-05 Fabrizio Riguzzi , Terrance Swift

Symbolic regression is a powerful system identification technique in industrial scenarios where no prior knowledge on model structure is available. Such scenarios often require specific model properties such as interpretability, robustness,…

In recent years, machine learning has established itself as a powerful tool for high-resolution weather forecasting. While most current machine learning models focus on deterministic forecasts, accurately capturing the uncertainty in the…

Machine Learning · Computer Science 2024-10-29 Joel Oskarsson , Tomas Landelius , Marc Peter Deisenroth , Fredrik Lindsten

We introduce SMProbLog, a generalization of the probabilistic logic programming language ProbLog. A ProbLog program defines a distribution over logic programs by specifying for each clause the probability that it belongs to a randomly…

Artificial Intelligence · Computer Science 2021-10-08 Pietro Totis , Angelika Kimmig , Luc De Raedt

We propose a machine learning framework for parameter estimation of single mode Gaussian quantum states. Under a Bayesian framework, our approach estimates parameters of suitable prior distributions from measured data. For phase-space…

Quantum Physics · Physics 2021-08-16 Neel Kanth Kundu , Matthew R. McKay , Ranjan K. Mallik

We consider the problem of automatically verifying programs which manipulate arbitrary data structures. Our specification language is expressive, contains a notion of \emph{separation}, and thus enables a precise specification of…

Programming Languages · Computer Science 2017-11-16 Duc-Hiep Chu , Joxan Jaffar

The problem of knowledge graph (KG) reasoning has been widely explored by traditional rule-based systems and more recently by knowledge graph embedding methods. While logical rules can capture deterministic behavior in a KG they are brittle…

Artificial Intelligence · Computer Science 2020-09-24 Susheel Suresh , Jennifer Neville

Conditional random fields (CRFs) are usually specified by graphical models but in this paper we propose to use probabilistic logic programs and specify them generatively. Our intension is first to provide a unified approach to CRFs for…

Machine Learning · Computer Science 2014-10-16 Taisuke Sato , Keiichi Kubota , Yoshitaka Kameya

We discuss probabilistic neural networks with a fixed internal representation as models for machine understanding. Here understanding is intended as mapping data to an already existing representation which encodes an {\em a priori}…

Disordered Systems and Neural Networks · Physics 2023-12-07 Rongrong Xie , Matteo Marsili

Machine learning (ML) has emerged as a powerful tool for tackling complex regression and classification tasks, yet its success often hinges on the quality of training data. This study introduces an ML paradigm inspired by domain knowledge…

Machine Learning · Computer Science 2025-01-10 Mohsen Rashki

Learning neural program embeddings is key to utilizing deep neural networks in program languages research --- precise and efficient program representations enable the application of deep models to a wide range of program analysis tasks.…

Software Engineering · Computer Science 2019-07-12 Ke Wang , Zhendong Su

Bayesian networks are a canonical formalism for representing probabilistic dependencies, yet their integration within logic programming frameworks remains a nontrivial challenge, mainly due to the complex structure of these networks. In…

Logic in Computer Science · Computer Science 2026-02-25 Matteo Acclavio , Roberto Maieli

In many applications, the variables that characterize a stochastic system are measured along a second dimension, such as time. This results in multivariate functional data and the interest is in describing the statistical dependences among…

Methodology · Statistics 2025-11-11 Marco Borriero , Luigi Augugliaro , Gianluca Sottile , Veronica Vinciotti

Probabilistic logic programs are logic programs where some facts hold with a specified probability. Here, we investigate these programs with a causal framework that allows counterfactual queries. Learning the program structure from…

Logic in Computer Science · Computer Science 2023-08-31 Kilian Rückschloß , Felix Weitkämper

Automated reasoning and theorem proving have recently become major challenges for machine learning. In other domains, representations that are able to abstract over unimportant transformations, such as abstraction over translations and…

Artificial Intelligence · Computer Science 2021-12-03 Miroslav Olšák , Cezary Kaliszyk , Josef Urban

Bayesian graphical models are a useful tool for understanding dependence relationships among many variables, particularly in situations with external prior information. In high-dimensional settings, the space of possible graphs becomes…

Machine Learning · Statistics 2019-02-07 Zehang Richard Li , Tyler H. McCormick

A new approach for signal parametrization, which consists of a specific regression model incorporating a discrete hidden logistic process, is proposed. The model parameters are estimated by the maximum likelihood method performed by a…

Methodology · Statistics 2013-12-30 Faicel Chamroukhi , Allou Samé , Gérard Govaert , Patrice Aknin