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Multi-agent reinforcement learning (MARL) is well-suited for runtime decision-making in optimizing the performance of systems where multiple agents coexist and compete for shared resources. However, applying common deep learning-based MARL…

We study the problem of combining neural networks with symbolic reasoning. Recently introduced frameworks for Probabilistic Neurosymbolic Learning (PNL), such as DeepProbLog, perform exponential-time exact inference, limiting the…

Machine Learning · Computer Science 2023-09-25 Emile van Krieken , Thiviyan Thanapalasingam , Jakub M. Tomczak , Frank van Harmelen , Annette ten Teije

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 limitations of purely neural learning have sparked an interest in probabilistic neurosymbolic models, which combine neural networks with probabilistic logical reasoning. As these neurosymbolic models are trained with gradient descent,…

Machine Learning · Computer Science 2024-06-10 Jaron Maene , Vincent Derkinderen , Luc De Raedt

We introduce DeepProbLog, a neural probabilistic logic programming language that incorporates deep learning by means of neural predicates. We show how existing inference and learning techniques of the underlying probabilistic logic…

Artificial Intelligence · Computer Science 2019-09-26 Robin Manhaeve , Sebastijan Dumančić , Angelika Kimmig , Thomas Demeester , Luc De Raedt

The goal of combining the robustness of neural networks and the expressiveness of symbolic methods has rekindled the interest in Neuro-Symbolic AI. Deep Probabilistic Programming Languages (DPPLs) have been developed for probabilistic logic…

Artificial Intelligence · Computer Science 2023-06-16 Arseny Skryagin , Daniel Ochs , Devendra Singh Dhami , Kristian Kersting

Resolving complex information needs that come with multiple constraints should consider enforcing the logical operators encoded in the query (i.e., conjunction, disjunction, negation) on the candidate answer set. Current retrieval systems…

Information Retrieval · Computer Science 2026-02-02 Mohanna Hoveyda , Jelle Piepenbrock , Arjen P de Vries , Maarten de Rijke , Faegheh Hasibi

Despite their linguistic competence, Large Language Models (LLMs) often struggle to reason reliably and flexibly. To identify these shortcomings, we introduce the Non-Linear Reasoning (NLR) dataset, a collection of 55 unique, hand-designed…

Computation and Language · Computer Science 2025-12-02 Nasim Borazjanizadeh , Steven T. Piantadosi

Many real-world systems can be described by mathematical models that are human-comprehensible, easy to analyze and help explain the system's behavior. Symbolic regression is a method that can automatically generate such models from data.…

Neural and Evolutionary Computing · Computer Science 2023-06-28 Jiří Kubalík , Erik Derner , Robert Babuška

Probabilistic logic programs are logic programs in which some of the facts are annotated with probabilities. This paper investigates how classical inference and learning tasks known from the graphical model community can be tackled for…

Artificial Intelligence · Computer Science 2020-02-19 Daan Fierens , Guy Van den Broeck , Joris Renkens , Dimitar Shterionov , Bernd Gutmann , Ingo Thon , Gerda Janssens , Luc De Raedt

Large Language Models (LLMs) demonstrate impressive capabilities in natural language processing but suffer from inaccuracies and logical inconsistencies known as hallucinations. This compromises their reliability, especially in domains…

Artificial Intelligence · Computer Science 2025-12-08 Ruslan Idelfonso Magana Vsevolodovna , Marco Monti

Recent work on neuro-symbolic inductive logic programming has led to promising approaches that can learn explanatory rules from noisy, real-world data. While some proposals approximate logical operators with differentiable operators from…

Artificial Intelligence · Computer Science 2021-12-08 Prithviraj Sen , Breno W. S. R. de Carvalho , Ryan Riegel , Alexander Gray

Weighted model counting (WMC) has emerged as a prevalent approach for probabilistic inference. In its most general form, WMC is #P-hard. Weighted DNF counting (weighted #DNF) is a special case, where approximations with probabilistic…

Artificial Intelligence · Computer Science 2020-01-31 Ralph Abboud , Ismail Ilkan Ceylan , Thomas Lukasiewicz

Recent advances in neural symbolic learning, such as DeepProbLog, extend probabilistic logic programs with neural predicates. Like graphical models, these probabilistic logic programs define a probability distribution over possible worlds,…

Artificial Intelligence · Computer Science 2021-06-24 Thomas Winters , Giuseppe Marra , Robin Manhaeve , Luc De Raedt

Deep learning and symbolic learning are two frequently employed methods in Sequential Recommendation (SR). Recent neural-symbolic SR models demonstrate their potential to enable SR to be equipped with concurrent perception and cognition…

Artificial Intelligence · Computer Science 2023-05-16 Huanhuan Yuan , Pengpeng Zhao , Xuefeng Xian , Guanfeng Liu , Victor S. Sheng , Lei Zhao

Probabilistic programming languages (PPLs) are an expressive means of representing and reasoning about probabilistic models. The computational challenge of probabilistic inference remains the primary roadblock for applying PPLs in practice.…

Programming Languages · Computer Science 2020-10-19 Steven Holtzen , Guy Van den Broeck , Todd Millstein

We present Scallop, a language which combines the benefits of deep learning and logical reasoning. Scallop enables users to write a wide range of neurosymbolic applications and train them in a data- and compute-efficient manner. It achieves…

Programming Languages · Computer Science 2023-04-12 Ziyang Li , Jiani Huang , Mayur Naik

The field of statistical relational learning aims at unifying logic and probability to reason and learn from data. Perhaps the most successful paradigm in the field is probabilistic logic programming: the enabling of stochastic primitives…

Machine Learning · Computer Science 2018-09-20 Stefanie Speichert , Vaishak Belle

Inference-time scaling has emerged as a powerful technique for enhancing the reasoning performance of Large Language Models (LLMs). However, existing approaches often rely on heuristic strategies for parallel sampling, lacking a principled…

Machine Learning · Computer Science 2025-12-22 Youkang Wang , Jian Wang , Rubing Chen , Xiao-Yong Wei

Probabilistic Logic Programs (PLPs) generalize traditional logic programs and allow the encoding of models combining logical structure and uncertainty. In PLP, inference is performed by summarizing the possible worlds which entail the query…

Logic in Computer Science · Computer Science 2018-04-30 Arun Nampally , Timothy Zhang , C. R. Ramakrishnan
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