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This paper develops a novel methodology for using symbolic knowledge in deep learning. From first principles, we derive a semantic loss function that bridges between neural output vectors and logical constraints. This loss function captures…

Artificial Intelligence · Computer Science 2018-06-11 Jingyi Xu , Zilu Zhang , Tal Friedman , Yitao Liang , Guy Van den Broeck

Existing math datasets evaluate the reasoning abilities of large language models (LLMs) by either using the final answer or the intermediate reasoning steps derived from static examples. However, the former approach fails to surface model's…

Artificial Intelligence · Computer Science 2024-10-28 Xiaodong Yu , Ben Zhou , Hao Cheng , Dan Roth

Over the last decades, deep neural networks based-models became the dominant paradigm in machine learning. Further, the use of artificial neural networks in symbolic learning has been seen as increasingly relevant recently. To study the…

Machine Learning · Computer Science 2025-06-03 João Flach , Alvaro F. Moreira , Luis C. Lamb

Visual reasoning, particularly spatial reasoning, is a challenging cognitive task that requires understanding object relationships and their interactions within complex environments, especially in robotics domain. Existing vision_language…

Robotics · Computer Science 2025-11-03 Simindokht Jahangard , Mehrzad Mohammadi , Abhinav Dhall , Hamid Rezatofighi

Large scale neural models show impressive performance across a wide array of linguistic tasks. Despite this they remain, largely, black-boxes - inducing vector-representations of their input that prove difficult to interpret. This limits…

Computation and Language · Computer Science 2024-06-05 Henry Conklin , Kenny Smith

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

In this paper, we aim to establish a simple, effective, and theoretically grounded benchmark for rigorously probing abstract reasoning in Large Language Models (LLMs). To achieve this, we first develop a mathematic framework that defines…

Computation and Language · Computer Science 2025-06-02 Qingchuan Ma , Yuhang Wu , Xiawu Zheng , Rongrong Ji

Formal verification via interactive theorem proving is increasingly used to ensure the correctness of critical systems, yet constructing large proof scripts remains highly manual and limits scalability. Advances in large language models…

Artificial Intelligence · Computer Science 2026-05-08 Baoding He , Zenan Li , Wei Sun , Yuan Yao , Taolue Chen , Xiaoxing Ma , Zhendong Su

The challenge of answering graph queries over incomplete knowledge graphs is gaining significant attention in the machine learning community. Neuro-symbolic models have emerged as a promising approach, combining good performance with high…

Machine Learning · Computer Science 2024-06-06 Tamara Cucumides , Daniel Daza , Pablo Barceló , Michael Cochez , Floris Geerts , Juan L Reutter , Miguel Romero

Automated interpretability research aims to identify concepts encoded in neural network features to enhance human understanding of model behavior. Within the context of large language models (LLMs) for natural language processing (NLP),…

Machine Learning · Computer Science 2025-11-13 Laura Kopf , Nils Feldhus , Kirill Bykov , Philine Lou Bommer , Anna Hedström , Marina M. -C. Höhne , Oliver Eberle

There is a wide gap between symbolic reasoning and deep learning. In this research, we explore the possibility of using deep learning to improve symbolic reasoning. Briefly, in a reasoning system, a deep feedforward neural network is used…

Artificial Intelligence · Computer Science 2018-09-13 Cheng-Hao Cai , Dengfeng Ke , Yanyan Xu , Kaile Su

Tree-structured neural network architectures for sentence encoding draw inspiration from the approach to semantic composition generally seen in formal linguistics, and have shown empirical improvements over comparable sequence models by…

Computation and Language · Computer Science 2019-04-08 WooJin Chung , Sheng-Fu Wang , Samuel R. Bowman

Language models' (LMs) proficiency in handling deterministic symbolic reasoning and rule-based tasks remains limited due to their dependency implicit learning on textual data. To endow LMs with genuine rule comprehension abilities, we…

Computation and Language · Computer Science 2024-03-12 Yixuan Weng , Minjun Zhu , Fei Xia , Bin Li , Shizhu He , Kang Liu , Jun Zhao

Large language models (LLMs) can prove mathematical theorems formally by generating proof steps (\textit{a.k.a.} tactics) within a proof system. However, the space of possible tactics is vast and complex, while the available training data…

Artificial Intelligence · Computer Science 2025-02-28 Zenan Li , Zhaoyu Li , Wen Tang , Xian Zhang , Yuan Yao , Xujie Si , Fan Yang , Kaiyu Yang , Xiaoxing Ma

Trained on a vast amount of data, Large Language models (LLMs) have achieved unprecedented success and generalization in modeling fairly complex textual inputs in the abstract space, making them powerful tools for zero-shot learning. Such…

Computer Vision and Pattern Recognition · Computer Science 2023-05-19 Shervin Ardeshir

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

Large Language models have achieved impressive performance in automated software engineering. Extensive efforts have been made to evaluate the abilities of code LLMs in various aspects, with an increasing number of benchmarks and evaluation…

Software Engineering · Computer Science 2025-03-25 Lezhi Ma , Shangqing Liu , Lei Bu , Shangru Li , Yida Wang , Yang Liu

The range of potential applications of acoustic analysis is wide. Classification of sounds, in particular, is a typical machine learning task that received a lot of attention in recent years. The most common approaches to sound…

Neural networks with tree-based sentence encoders have shown better results on many downstream tasks. Most of existing tree-based encoders adopt syntactic parsing trees as the explicit structure prior. To study the effectiveness of…

Computation and Language · Computer Science 2018-08-30 Haoyue Shi , Hao Zhou , Jiaze Chen , Lei Li

We present a symbolic learning framework inspired by cognitive-like memory functionalities (i.e., storing, retrieving, consolidating and forgetting) to generate task representations to support high-level task planning and knowledge…

Robotics · Computer Science 2024-04-22 Luca Buoncompagni , Fulvio Mastrogiovanni