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Artificial Neural Networks are powerful function approximators capable of modelling solutions to a wide variety of problems, both supervised and unsupervised. As their size and expressivity increases, so too does the variance of the model,…

Neural and Evolutionary Computing · Computer Science 2018-01-26 Richard Evans , Edward Grefenstette

Recent advances in natural language processing (NLP), particularly large language models (LLMs), have motivated the automatic translation of natural language statements into formal logic without human intervention. This enables automated…

Computation and Language · Computer Science 2025-12-03 Muyu Pan , Dheeraj Kodakandla , Mahfuza Farooque

Probabilistic programming languages (PPLs) are receiving widespread attention for performing Bayesian inference in complex generative models. However, applications to science remain limited because of the impracticability of rewriting…

Comprehensive evaluation of Large Language Models (LLMs) is an open research problem. Existing evaluations rely on deterministic point estimates generated via greedy decoding. However, we find that deterministic evaluations fail to capture…

Machine Learning · Computer Science 2025-03-04 Yan Scholten , Stephan Günnemann , Leo Schwinn

We study the problem of programmatic reinforcement learning, in which policies are represented as short programs in a symbolic language. Programmatic policies can be more interpretable, generalizable, and amenable to formal verification…

Machine Learning · Computer Science 2021-01-21 Abhinav Verma , Hoang M. Le , Yisong Yue , Swarat Chaudhuri

Large language models (LLMs) have demonstrated strong performance on coding tasks such as generation, completion and repair, but their ability to handle complex symbolic reasoning over code still remains underexplored. We introduce the task…

Software Engineering · Computer Science 2025-09-17 Daniel Koh , Yannic Noller , Corina S. Pasareanu , Adrians Skapars , Youcheng Sun

State-of-the-art neurosymbolic learning systems use probabilistic reasoning to guide neural networks towards predictions that conform to logical constraints over symbols. Many such systems assume that the probabilities of the considered…

Machine Learning · Statistics 2024-06-10 Emile van Krieken , Pasquale Minervini , Edoardo M. Ponti , Antonio Vergari

Despite significant progress in natural language understanding, Large Language Models (LLMs) remain error-prone when performing logical reasoning, often lacking the robust mental representations that enable human-like comprehension. We…

Artificial Intelligence · Computer Science 2025-09-05 François Olivier , Zied Bouraoui

Symbolic regression with polynomial neural networks and polynomial neural ordinary differential equations (ODEs) are two recent and powerful approaches for equation recovery of many science and engineering problems. However, these methods…

Machine Learning · Computer Science 2023-08-28 Colby Fronk , Jaewoong Yun , Prashant Singh , Linda Petzold

Neural network language models (NNLMs) have achieved ever-improving accuracy due to more sophisticated architectures and increasing amounts of training data. However, the inductive bias of these models (formed by the distributional…

Machine Learning · Computer Science 2019-12-12 David Demeter , Doug Downey

The ability to conduct logical reasoning is a fundamental aspect of intelligent human behavior, and thus an important problem along the way to human-level artificial intelligence. Traditionally, logic-based symbolic methods from the field…

Artificial Intelligence · Computer Science 2021-01-11 Patrick Hohenecker , Thomas Lukasiewicz

We develop a general approach to distill symbolic representations of a learned deep model by introducing strong inductive biases. We focus on Graph Neural Networks (GNNs). The technique works as follows: we first encourage sparse latent…

Machine Learning · Computer Science 2020-11-19 Miles Cranmer , Alvaro Sanchez-Gonzalez , Peter Battaglia , Rui Xu , Kyle Cranmer , David Spergel , Shirley Ho

Despite exceptional predictive performance of Deep sequence models (DSMs), the main concern of their deployment centers around the lack of uncertainty awareness. In contrast, probabilistic models quantify the uncertainty associated with…

Machine Learning · Computer Science 2026-03-03 Wenlong Chen

Neurosymbolic Programming (NP) techniques have the potential to accelerate scientific discovery. These models combine neural and symbolic components to learn complex patterns and representations from data, using high-level concepts or known…

Deep learning has redefined the field of artificial intelligence (AI) thanks to the rise of artificial neural networks, which are architectures inspired by their neurological counterpart in the brain. Through the years, this dualism between…

Machine Learning · Computer Science 2023-02-21 Tommaso Salvatori , Yuhang Song , Thomas Lukasiewicz , Rafal Bogacz , Zhenghua Xu

Process anomaly detection is an important application of process mining for identifying deviations from the normal behavior of a process. Neural network-based methods have recently been applied to this task, learning directly from event…

Machine Learning · Computer Science 2026-04-02 Devashish Gaikwad , Wil M. P. van der Aalst , Gyunam Park

Probabilistic programming languages (PPLs) are a powerful modeling tool, able to represent any computable probability distribution. Unfortunately, probabilistic program inference is often intractable, and existing PPLs mostly rely on…

Artificial Intelligence · Computer Science 2016-10-19 Daniel Ritchie , Paul Horsfall , Noah D. Goodman

Large language models (LLMs) and theorem provers (TPs) can be effectively combined for verifiable natural language inference (NLI). However, existing approaches rely on a fixed logical formalism, a feature that limits robustness and…

Artificial Intelligence · Computer Science 2026-01-12 Ali Farjami , Luca Redondi , Marco Valentino

Compressed prompts aid instruction-tuned language models (LMs) in overcoming context window limitations and reducing computational costs. Existing methods, which primarily based on training embeddings, face various challenges associated…

Computation and Language · Computer Science 2024-06-04 Hoyoun Jung , Kyung-Joong Kim

Large Language Models (LLMs) often struggle with complex mathematical reasoning, where prose-based generation leads to unverified and arithmetically unsound solutions. Current prompting strategies like Chain of Thought still operate within…

Computation and Language · Computer Science 2026-01-27 Sina Bagheri Nezhad , Yao Li , Ameeta Agrawal
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