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This paper addresses the analysis and design of quadratic neural networks, which have been recently introduced in the literature, and their applications to regression, classification, system identification and control of dynamical systems.…

Machine Learning · Computer Science 2022-07-28 Luis Rodrigues , Sidney Givigi

What is it about human brains that allows us to reason symbolically whereas most other animals cannot? There is evidence that dynamic binding, the ability to combine neurons into groups on the fly, is necessary for symbolic thought, but…

Neural and Evolutionary Computing · Computer Science 2025-08-22 John E. Hummel , Rachel F. Heaton

Neural networks can be trained to rank the choices made by logical reasoners, resulting in more efficient searches for answers. A key step in this process is creating useful embeddings, i.e., numeric representations of logical statements.…

Artificial Intelligence · Computer Science 2026-05-21 Yifan Zhang , Yasir White , Dean Clark , Joseph Sanchez , Jevon Lipsey , Ashely Hirst , Jeff Heflin

Language models and specialized table embedding models have recently demonstrated strong performance on many tasks over tabular data. Researchers and practitioners are keen to leverage these models in many new application contexts; but…

Databases · Computer Science 2024-01-30 Tianji Cong , Madelon Hulsebos , Zhenjie Sun , Paul Groth , H. V. Jagadish

The recent developments and growing interest in neural-symbolic models has shown that hybrid approaches can offer richer models for Artificial Intelligence. The integration of effective relational learning and reasoning methods is one of…

Machine Learning · Computer Science 2020-05-07 Henrique Lemos , Pedro Avelar , Marcelo Prates , Luís Lamb , Artur Garcez

We evaluate 8 different word embedding models on their usefulness for predicting the neural activation patterns associated with concrete nouns. The models we consider include an experiential model, based on crowd-sourced association data,…

Computation and Language · Computer Science 2017-11-28 Samira Abnar , Rasyan Ahmed , Max Mijnheer , Willem Zuidema

In this paper we present a unified framework for modeling multi-relational representations, scoring, and learning, and conduct an empirical study of several recent multi-relational embedding models under the framework. We investigate the…

Computation and Language · Computer Science 2014-11-18 Bishan Yang , Wen-tau Yih , Xiaodong He , Jianfeng Gao , Li Deng

When choosing between options, we must solve an important binding problem. The values of the options must be associated with information about the action needed to select them. We hypothesize that the brain solves this binding problem…

Neurons and Cognition · Quantitative Biology 2023-02-06 W. Jeffrey Johnston , Justin M. Fine , Seng Bum Michael Yoo , R. Becket Ebitz , Benjamin Y. Hayden

Brain decoding is a hot spot in cognitive science, which focuses on reconstructing perceptual images from brain activities. Analyzing the correlations of collected data from human brain activities and representing activity patterns are two…

Computer Vision and Pattern Recognition · Computer Science 2017-12-06 Siyu Yu , Nanning Zheng , Yongqiang Ma , Hao Wu , Badong Chen

With computers to handle more and more complicated things in variable environments, it becomes an urgent requirement that the artificial intelligence has the ability of automatic judging and deciding according to numerous specific…

Neural and Evolutionary Computing · Computer Science 2017-08-03 Gang Wang

Structural pruning has been widely studied for its effectiveness in compressing neural networks. However, existing methods often neglect the interconnections among parameters. To address this limitation, this paper proposes a structural…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Shaowu Chen , Wei Ma , Binhua Huang , Qingyuan Wang , Guoxin Wang , Weize Sun , Lei Huang , Deepu John

We propose a normative model for spatial representation in the hippocampal formation that combines optimality principles, such as maximizing coding range and spatial information per neuron, with an algebraic framework for computing in…

Neurons and Cognition · Quantitative Biology 2024-06-28 Christopher J. Kymn , Sonia Mazelet , Anthony Thomas , Denis Kleyko , E. Paxon Frady , Friedrich T. Sommer , Bruno A. Olshausen

We study the topmost weight matrix of neural network language models. We show that this matrix constitutes a valid word embedding. When training language models, we recommend tying the input embedding and this output embedding. We analyze…

Computation and Language · Computer Science 2017-02-22 Ofir Press , Lior Wolf

Human cognition excels at symbolic reasoning, deducing abstract rules from limited samples. This has been explained using symbolic and connectionist approaches, inspiring the development of a neuro-symbolic architecture that combines both…

Artificial Intelligence · Computer Science 2024-05-24 Mohamed Mejri , Chandramouli Amarnath , Abhijit Chatterjee

Neuro-symbolic methods integrate neural architectures, knowledge representation and reasoning. However, they have been struggling at both dealing with the intrinsic uncertainty of the observations and scaling to real-world applications.…

Artificial Intelligence · Computer Science 2025-01-16 Giuseppe Marra , Michelangelo Diligenti , Francesco Giannini

Vector Symbolic Architectures (VSAs) are high-dimensional vector representations of objects (eg., words, image parts), relations (eg., sentence structures), and sequences for use with machine learning algorithms. They consist of a vector…

Machine Learning · Computer Science 2015-02-02 Stephen I. Gallant , T. Wendy Okaywe

Inspired by neuronal diversity in the biological neural system, a plethora of studies proposed to design novel types of artificial neurons and introduce neuronal diversity into artificial neural networks. Recently proposed quadratic neuron,…

Machine Learning · Computer Science 2023-03-14 Feng-Lei Fan , Hang-Cheng Dong , Zhongming Wu , Lecheng Ruan , Tieyong Zeng , Yiming Cui , Jing-Xiao Liao

We present a novel learning method for word embeddings designed for relation classification. Our word embeddings are trained by predicting words between noun pairs using lexical relation-specific features on a large unlabeled corpus. This…

Computation and Language · Computer Science 2015-06-23 Kazuma Hashimoto , Pontus Stenetorp , Makoto Miwa , Yoshimasa Tsuruoka

The binding problem in human cognition, concerning how the brain represents and connects objects within a fixed network of neural connections, remains a subject of intense debate. Most machine learning efforts addressing this issue in an…

Machine Learning · Computer Science 2023-10-18 Sindy Löwe , Phillip Lippe , Francesco Locatello , Max Welling

Machine learning is evolving towards high-order models that necessitate pre-training on extensive datasets, a process associated with significant overheads. Traditional models, despite having pre-trained weights, are becoming obsolete due…

Machine Learning · Computer Science 2024-05-10 Chenhui Xu , Xinyao Wang , Fuxun Yu , Jinjun Xiong , Xiang Chen