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This paper expresses the structure of artificial neural network (ANN) as a functional form, using the activation integral concept derived from the activation function. In this way, the structure of ANN can be represented by a simple…

Machine Learning · Computer Science 2026-02-03 Zhongkui Ma

Some of the strongest evidence that human minds should be thought about in terms of symbolic systems has been the way they combine ideas, produce novelty, and learn quickly. We argue that modern neural networks -- and the artificial…

Artificial Intelligence · Computer Science 2025-08-11 Thomas L. Griffiths , Brenden M. Lake , R. Thomas McCoy , Ellie Pavlick , Taylor W. Webb

Although Large Language Models (LLMs) have demonstrated impressive formal reasoning abilities, they often break down when problems require complex proof planning. One promising approach for improving LLM reasoning abilities involves…

Artificial Intelligence · Computer Science 2026-01-27 Joseph Cotnareanu , Didier Chetelat , Yingxue Zhang , Mark Coates

What do artificial neural networks (ANNs) learn? The machine learning (ML) community shares the narrative that ANNs must develop abstract human concepts to perform complex tasks. Some go even further and believe that these concepts are…

Machine Learning · Computer Science 2024-03-27 Timo Freiesleben

We explore end-to-end trained differentiable models that integrate natural logic with neural networks, aiming to keep the backbone of natural language reasoning based on the natural logic formalism while introducing subsymbolic vector…

Computation and Language · Computer Science 2020-11-11 Yufei Feng , Zi'ou Zheng , Quan Liu , Michael Greenspan , Xiaodan Zhu

Today, the dominant paradigm for training neural networks involves minimizing task loss on a large dataset. Using world knowledge to inform a model, and yet retain the ability to perform end-to-end training remains an open question. In this…

Machine Learning · Computer Science 2020-08-21 Tao Li , Vivek Srikumar

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

Neuroimaging data, particularly from techniques like MRI or PET, offer rich but complex information about brain structure and activity. To manage this complexity, latent representation models - such as Autoencoders, Generative Adversarial…

Computer Vision and Pattern Recognition · Computer Science 2024-12-31 C. Vázquez-García , F. J. Martínez-Murcia , F. Segovia Román , Juan M. Górriz

Application domains that require considering relationships among objects which have real-valued attributes are becoming even more important. In this paper we propose NeuralLog, a first-order logic language that is compiled to a neural…

Machine Learning · Computer Science 2021-05-05 Victor Guimarães , Vítor Santos Costa

Artificial Intelligence has looked into biological systems as a source of inspiration. Although there are many aspects of the brain yet to be discovered, neuroscience has found evidence that the connections between neurons continuously grow…

Neural and Evolutionary Computing · Computer Science 2020-10-29 Javier Lopez Randulfe , Leon Bonde Larsen

Machine reading comprehension (MRC) poses new challenges over logical reasoning, which aims to understand the implicit logical relations entailed in the given contexts and perform inference over them. Due to the complexity of logic, logical…

Computation and Language · Computer Science 2023-06-22 Jialin Chen , Zhuosheng Zhang , Hai Zhao

First-principles-based modelings have been extremely successful in providing crucial insights and predictions for complex biological functions and phenomena. However, they can be hard to build and expensive to simulate for complex living…

Adaptation and Self-Organizing Systems · Physics 2024-11-26 Ruilin Zhang , Zhongyi Wang , Tianyi Wu , Yuhang Cai , Louis Tao , Zhuo-Cheng Xiao , Yao Li

Large Language Models (LLMs) have rapidly transformed the landscape of artificial intelligence, enabling natural language interfaces and dynamic orchestration of software components. However, their reliance on probabilistic inference limits…

Machine Learning · Computer Science 2025-07-01 Claudionor Coelho , Yanen Li , Philip Tee

The neural mechanism of memory has a very close relation with the problem of representation in artificial intelligence. In this paper a computational model was proposed to simulate the network of neurons in brain and how they process…

Neurons and Cognition · Quantitative Biology 2020-12-02 Hui Wei

Graph neural networks (GNNs) excel at predictive tasks on graph-structured data but often lack the ability to incorporate symbolic domain knowledge and perform general reasoning. Relational Bayesian Networks (RBNs), in contrast, enable…

Artificial Intelligence · Computer Science 2025-07-30 Raffaele Pojer , Andrea Passerini , Kim G. Larsen , Manfred Jaeger

Biological neurons exhibit remarkable intelligence: they maintain internal states, communicate selectively with other neurons, and self-organize into complex graphs rather than rigid hierarchical layers. What if artificial intelligence…

Machine Learning · Computer Science 2025-12-01 Antoine Salomon

Recently, Graph Neural Networks (GNNs) have gained popularity in a variety of real-world scenarios. Despite the great success, the architecture design of GNNs heavily relies on manual labor. Thus, automated graph neural network (AutoGNN)…

Machine Learning · Computer Science 2021-12-03 Zhili Wang , Shimin Di , Lei Chen

Until recently, artificial neural networks were typically designed with a fixed network structure. Here, I argue that network structure is highly relevant to function, and therefore neural networks should be livewired (Eagleman 2020):…

Neural and Evolutionary Computing · Computer Science 2021-05-19 Thomas Schumacher

We present a new methodology for utilising machine learning technology in symbolic computation research. We explain how a well known human-designed heuristic to make the choice of variable ordering in cylindrical algebraic decomposition may…

Symbolic Computation · Computer Science 2024-04-29 Dorian Florescu , Matthew England

Artificial neural networks (ANN), typically referred to as neural networks, are a class of Machine Learning algorithms and have achieved widespread success, having been inspired by the biological structure of the human brain. Neural…

Machine Learning · Computer Science 2022-04-08 Murilo Gustineli