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Building neural systems that can learn to execute symbolic algorithms is a challenging open problem in artificial intelligence, especially when aiming for strong generalization and out-of-distribution performance. In this work, we introduce…

Artificial Intelligence · Computer Science 2025-07-28 Flavio Petruzzellis , Alberto Testolin , Alessandro Sperduti

Modern transformer-based encoder-decoder architectures struggle with reasoning tasks due to their inability to effectively extract relational information between input objects (data/tokens). Recent work introduced the Abstractor module,…

Artificial Intelligence · Computer Science 2024-11-14 Mohamed Mejri , Chandramouli Amarnath , Abhijit Chatterjee

We consider the problem of learning free-form symbolic expressions from raw data, such as that produced by an experiment in any scientific domain. Accurate and interpretable models of scientific phenomena are the cornerstone of scientific…

Machine Learning · Computer Science 2021-12-09 Nikos Arechiga , Francine Chen , Yan-Ying Chen , Yanxia Zhang , Rumen Iliev , Heishiro Toyoda , Kent Lyons

Deep neural networks (DNNs) have been shown lack of robustness for the vulnerability of their classification to small perturbations on the inputs. This has led to safety concerns of applying DNNs to safety-critical domains. Several…

Machine Learning · Computer Science 2021-02-24 Jianlin Li , Pengfei Yang , Jiangchao Liu , Liqian Chen , Xiaowei Huang , Lijun Zhang

Holographic Reduced Representations (HRR) are a method for performing symbolic AI on top of real-valued vectors by associating each vector with an abstract concept, and providing mathematical operations to manipulate vectors as if they were…

Artificial Intelligence · Computer Science 2021-12-30 Ashwinkumar Ganesan , Hang Gao , Sunil Gandhi , Edward Raff , Tim Oates , James Holt , Mark McLean

Understanding how humans and AI systems interpret ambiguous visual stimuli offers critical insight into the nature of perception, reasoning, and decision-making. This paper examines image labeling performance across human participants and…

Artificial Intelligence · Computer Science 2025-12-11 Chethana Prasad Kabgere

We introduce the Deep Symbolic Network (DSN) model, which aims at becoming the white-box version of Deep Neural Networks (DNN). The DSN model provides a simple, universal yet powerful structure, similar to DNN, to represent any knowledge of…

Artificial Intelligence · Computer Science 2017-07-14 Qunzhi Zhang , Didier Sornette

It is expected that progress toward true artificial intelligence will be achieved through the emergence of a system that integrates representation learning and complex reasoning (LeCun et al. 2015). In response to this prediction, research…

Artificial Intelligence · Computer Science 2017-11-07 Ju-Hong Lee , Moon-Ju Kang , Bumghi Choi

The importance of building neural networks that can learn to reason has been well recognized in the neuro-symbolic community. In this paper, we apply neural pointer networks for conducting reasoning over symbolic knowledge bases. In doing…

Artificial Intelligence · Computer Science 2021-06-18 Monireh Ebrahimi , Aaron Eberhart , Pascal Hitzler

Cybersecurity demands both rapid pattern recognition and deliberative reasoning, yet purely neural or purely symbolic approaches each address only one side of this duality. Neuro-Symbolic (NeSy) AI bridges this gap by integrating learning…

Cryptography and Security · Computer Science 2026-04-16 Safayat Bin Hakim , Muhammad Adil , Alvaro Velasquez , Shouhuai Xu , Houbing Herbert Song

Using Frequency-domain Holographic Reduced Representations (FHRRs), we extend a Vector-Symbolic Architecture (VSA) encoding of Lisp 1.5 with primitives for arithmetic operations using Residue Hyperdimensional Computing (RHC). Encoding a…

Machine Learning · Computer Science 2025-11-13 Connor Hanley , Eilene Tomkins-Flanaganm , Mary Alexandria Kelly

Evolutionary computation methods have been successfully applied to neural networks since two decades ago, while those methods cannot scale well to the modern deep neural networks due to the complicated architectures and large quantities of…

Neural and Evolutionary Computing · Computer Science 2019-03-12 Yanan Sun , Bing Xue , Mengjie Zhang , Gary G. Yen

Recovering analytical solutions of physical fields from visual observations is a fundamental yet underexplored capability for AI-assisted scientific reasoning. We study visual-to-symbolic analytical solution inference (ViSA) for…

Machine learning models have become firmly established across all scientific fields. Extracting features from data and making inferences based on them with neural network models often yields high accuracy; however, this approach has several…

Machine Learning · Computer Science 2026-01-13 Mikhail Lazarev , Andrey Ustyuzhanin

The capacity to generate meaningful symbols and effectively employ them for advanced cognitive processes, such as communication, reasoning, and planning, constitutes a fundamental and distinctive aspect of human intelligence. Existing deep…

Artificial Intelligence · Computer Science 2023-06-27 Yang Chen , Liangxuan Guo , Shan Yu

Neuro-Symbolic Artificial Intelligence (AI) is an emerging and quickly advancing field that combines the subsymbolic strengths of (deep) neural networks and explicit, symbolic knowledge contained in knowledge graphs to enhance…

Computers and Society · Computer Science 2023-08-07 Aritran Piplai , Anantaa Kotal , Seyedreza Mohseni , Manas Gaur , Sudip Mittal , Anupam Joshi

Hyperdimensional computing (HDC), also known as vector symbolic architectures (VSA), is a computing framework used within artificial intelligence and cognitive computing that operates with distributed vector representations of large fixed…

Artificial Intelligence · Computer Science 2022-05-18 Dmitri A. Rachkovskij , Denis Kleyko

Analysis and manipulation of trained neural networks is a challenging and important problem. We propose a symbolic representation for piecewise-linear neural networks and discuss its efficient computation. With this representation, one can…

Machine Learning · Computer Science 2019-08-21 Matthew Sotoudeh , Aditya V. Thakur

There are many problems in physics, biology, and other natural sciences in which symbolic regression can provide valuable insights and discover new laws of nature. A widespread Deep Neural Networks do not provide interpretable solutions.…

Machine Learning · Computer Science 2023-01-18 Sergei Popov , Mikhail Lazarev , Vladislav Belavin , Denis Derkach , Andrey Ustyuzhanin

Humans interact with the environment using a combination of perception - transforming sensory inputs from their environment into symbols, and cognition - mapping symbols to knowledge about the environment for supporting abstraction,…

Artificial Intelligence · Computer Science 2023-11-07 Amit Sheth , Kaushik Roy , Manas Gaur