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We design a predictive layer for structured-output prediction (SOP) that can be plugged into any neural network guaranteeing its predictions are consistent with a set of predefined symbolic constraints. Our Semantic Probabilistic Layer…

Machine Learning · Computer Science 2022-06-02 Kareem Ahmed , Stefano Teso , Kai-Wei Chang , Guy Van den Broeck , Antonio Vergari

Neurosymbolic learning can use symbolic rules to provide supervision for latent concepts from weak labels, but it commonly assumes that the entities referenced by these rules are already specified. Object-centric models decompose images…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Stefano Colamonaco , David Debot , Giuseppe Marra

Deep reinforcement learning (RL) methods often require many trials before convergence, and no direct interpretability of trained policies is provided. In order to achieve fast convergence and interpretability for the policy in RL, we…

Recent work has shown that large pretrained Language Models (LMs) can not only perform remarkably well on a range of Natural Language Processing (NLP) tasks but also start improving on reasoning tasks such as arithmetic induction, symbolic…

Computation and Language · Computer Science 2022-08-11 Jing Qian , Hong Wang , Zekun Li , Shiyang Li , Xifeng Yan

We introduce neural networks for end-to-end differentiable proving of queries to knowledge bases by operating on dense vector representations of symbols. These neural networks are constructed recursively by taking inspiration from the…

Neural and Evolutionary Computing · Computer Science 2017-12-05 Tim Rocktäschel , Sebastian Riedel

Pre-trained large language models (LMs) struggle to perform logical reasoning reliably despite advances in scale and compositionality. In this work, we tackle this challenge through the lens of symbolic programming. We propose DSR-LM, a…

Artificial Intelligence · Computer Science 2023-05-09 Hanlin Zhang , Jiani Huang , Ziyang Li , Mayur Naik , Eric Xing

Large language models (LLMs) are a promising venue for natural language understanding and generation tasks. However, current LLMs are far from reliable: they are prone to generate non-factual information and, more crucially, to contradict…

Machine Learning · Computer Science 2024-04-22 Diego Calanzone , Stefano Teso , Antonio Vergari

Large language models (LLMs) struggle with formal domains that require rigorous logical deduction and symbolic reasoning, such as mathematical proof generation. We propose a neuro-symbolic approach that combines LLMs' generative strengths…

Artificial Intelligence · Computer Science 2026-05-26 Oren Sultan , Eitan Stern , Dafna Shahaf

Neurosymbolic learning enables the integration of symbolic reasoning with deep learning but faces significant challenges in scaling to complex symbolic programs, large datasets, or both. We introduce DOLPHIN, a framework that tackles these…

Machine Learning · Computer Science 2026-01-01 Aaditya Naik , Jason Liu , Claire Wang , Amish Sethi , Saikat Dutta , Mayur Naik , Eric Wong

Large Language Models (LLMs) have shown remarkable reasoning performance but struggle with multi-step deductive reasoning involving a series of rule application steps, especially when rules are presented non-sequentially. Our preliminary…

Computation and Language · Computer Science 2024-08-27 Siyuan Wang , Zhongyu Wei , Yejin Choi , Xiang Ren

With an ever-growing number of parameters defining increasingly complex networks, Deep Learning has led to several breakthroughs surpassing human performance. As a result, data movement for these millions of model parameters causes a…

Neural and Evolutionary Computing · Computer Science 2023-04-12 Christopher Wolters , Brady Taylor , Edward Hanson , Xiaoxuan Yang , Ulf Schlichtmann , Yiran Chen

Deep learning (DL) based language models achieve high performance on various benchmarks for Natural Language Inference (NLI). And at this time, symbolic approaches to NLI are receiving less attention. Both approaches (symbolic and DL) have…

Computation and Language · Computer Science 2021-06-11 Zeming Chen , Qiyue Gao , Lawrence S. Moss

Neurosymbolic AI aims to integrate deep learning with symbolic AI. This integration has many promises, such as decreasing the amount of data required to train a neural network, improving the explainability and interpretability of answers…

Artificial Intelligence · Computer Science 2024-01-22 Emile van Krieken

We present Probabilistic Decision Model and Notation (pDMN), a probabilistic extension of Decision Model and Notation (DMN). DMN is a modeling notation for deterministic decision logic, which intends to be user-friendly and low in…

Artificial Intelligence · Computer Science 2021-10-06 Simon Vandevelde , Victor Verreet , Luc De Raedt , Joost Vennekens

Large Language Models (LLMs) achieve strong performance on natural language tasks but remain unreliable in mathematical reasoning, frequently generating fluent yet logically inconsistent solutions. We present \textbf{NeuroProlog}, a…

Artificial Intelligence · Computer Science 2026-03-05 Pratibha Zunjare , Michael Hsiao

Neural-symbolic AI (NeSy) allows neural networks to exploit symbolic background knowledge in the form of logic. It has been shown to aid learning in the limited data regime and to facilitate inference on out-of-distribution data.…

Artificial Intelligence · Computer Science 2023-03-15 Lennert De Smet , Pedro Zuidberg Dos Martires , Robin Manhaeve , Giuseppe Marra , Angelika Kimmig , Luc De Raedt

Studies on artificial neural networks rarely address both vanishing gradients and overfitting issues. In this study, we follow the pupil learning procedure, which has the features of interpreting, picking, understanding, cramming, and…

Machine Learning · Computer Science 2023-08-01 Rua-Huan Tsaih , Yu-Hang Chien , Shih-Yi Chien

The last decades have seen a drastic improvement of Machine Learning (ML), mainly driven by Deep Learning (DL). However, despite the resounding successes of ML in many domains, the impossibility to provide guarantees of conformity and the…

Machine Learning · Computer Science 2024-09-23 Arthur Ledaguenel , Céline Hudelot , Mostepha Khouadjia

We describe a neural-based method for generating exact or approximate solutions to differential equations in the form of mathematical expressions. Unlike other neural methods, our system returns symbolic expressions that can be interpreted…

Machine Learning · Computer Science 2020-11-16 Maysum Panju , Kourosh Parand , Ali Ghodsi

Predictive modeling on sequential event data is critical for fraud detection and healthcare monitoring. Existing data-driven approaches learn correlations from historical data but fail to incorporate domain-specific sequential constraints…

Artificial Intelligence · Computer Science 2026-03-31 Fabrizio De Santis , Gyunam Park , Francesco Zanichelli
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