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Binary Neural Networks (BNNs) can significantly accelerate the inference time of a neural network by replacing its expensive floating-point arithmetic with bitwise operations. Most existing solutions, however, do not fully optimize data…

Machine Learning · Computer Science 2023-04-04 L. Vorabbi , D. Maltoni , S. Santi

Neural associative memories are single layer perceptrons with fast synaptic learning typically storing discrete associations between pairs of neural activity patterns. Previous works have analyzed the optimal networks under naive Bayes…

Neural and Evolutionary Computing · Computer Science 2024-12-25 Andreas Knoblauch

We introduce a modern Hopfield network with continuous states and a corresponding update rule. The new Hopfield network can store exponentially (with the dimension of the associative space) many patterns, retrieves the pattern with one…

We present here new mechanisms for hashing data via binary embeddings. Contrary to most of the techniques presented before, the embedding matrix of our mechanism is highly structured. That enables us to perform hashing more efficiently and…

Data Structures and Algorithms · Computer Science 2015-05-14 Krzysztof Choromanski

In \cite{Hop82}, Hopfield introduced a \emph{Hebbian} learning rule based neural network model and suggested how it can efficiently operate as an associative memory. Studying random binary patterns, he also uncovered that, if a small…

Machine Learning · Statistics 2024-03-05 Mihailo Stojnic

High-capacity associative memory models, such as Kernel Logistic Regression (KLR) Hopfield networks, have demonstrated strong storage capabilities but typically rely on computationally expensive synchronous updates. This reliance poses a…

Neural and Evolutionary Computing · Computer Science 2026-05-12 Akira Tamamori

The quest for biologically plausible deep learning is driven, not just by the desire to explain experimentally-observed properties of biological neural networks, but also by the hope of discovering more efficient methods for training…

Machine Learning · Computer Science 2017-11-22 Zuozhu Liu , Tony Q. S. Quek , Shaowei Lin

Binarized Neural Networks (BNNs) are a class of deep neural networks designed to utilize minimal computational resources, which drives their popularity across various applications. Recent studies highlight the potential of mapping BNN model…

Cryptography and Security · Computer Science 2025-10-28 Gokulnath Rajendran , Suman Deb , Anupam Chattopadhyay

This paper presents a storage-efficient learning model titled Recursive Binary Neural Networks for sensing devices having a limited amount of on-chip data storage such as < 100's kilo-Bytes. The main idea of the proposed model is to…

Neural and Evolutionary Computing · Computer Science 2017-09-18 Tianchan Guan , Xiaoyang Zeng , Mingoo Seok

I review and expand the model of quantum associative memory that I have recently proposed. In this model binary patterns of n bits are stored in the quantum superposition of the appropriate subset of the computational basis of n qbits.…

Quantum Physics · Physics 2007-05-23 Carlo A. Trugenberger

We test four fast mean field type algorithms on Hopfield networks as an inverse Ising problem. The equilibrium behavior of Hopfield networks is simulated through Glauber dynamics. In the low temperature regime, the simulated annealing…

Disordered Systems and Neural Networks · Physics 2013-05-29 Haiping Huang

Unsupervised binary representation allows fast data retrieval without any annotations, enabling practical application like fast person re-identification and multimedia retrieval. It is argued that conflicts in binary space are one of the…

Computer Vision and Pattern Recognition · Computer Science 2020-11-23 Fangrui Liu , Zheng Liu

We propose a two-stage memory retrieval dynamics for modern Hopfield models, termed $\mathtt{U\text{-}Hop}$, with enhanced memory capacity. Our key contribution is a learnable feature map $\Phi$ which transforms the Hopfield energy function…

Machine Learning · Computer Science 2024-11-12 Dennis Wu , Jerry Yao-Chieh Hu , Teng-Yun Hsiao , Han Liu

In this paper we consider data storage from a probabilistic point of view and obtain bounds for efficient storage in the presence of feature selection and undersampling, both of which are important from the data science perspective. First,…

Information Theory · Computer Science 2023-09-26 Ghurumuruhan Ganesan

We discuss how inference can be performed when data are sampled from the non-ergodic phase of systems with multiple attractors. We take as model system the finite connectivity Hopfield model in the memory phase and suggest a cavity method…

Disordered Systems and Neural Networks · Physics 2013-09-03 A. Braunstein , A. Ramezanpour , R. Zecchina , P. Zhang

The ability to learn continuously in artificial neural networks (ANNs) is often limited by catastrophic forgetting, a phenomenon in which new knowledge becomes dominant. By taking mechanisms of memory encoding in neuroscience (aka. engrams)…

Machine Learning · Computer Science 2025-03-28 Isabelle Aguilar , Luis Fernando Herbozo Contreras , Omid Kavehei

Neuron models of associative memory provide a new and prospective technology for reliable date storage and patterns recognition. However, even when the patterns are uncorrelated, the efficiency of most known models of associative memory is…

Disordered Systems and Neural Networks · Physics 2007-05-23 B. V. Kryzhanovsky , L. B. Litinskii , A. Fonarev

We propose a novel algorithm for using Hopfield networks to denoise QR codes. Hopfield networks have mostly been used as a noise tolerant memory or to solve difficult combinatorial problems. One of the major drawbacks in their use in noise…

Computer Vision and Pattern Recognition · Computer Science 2018-12-14 Ishan Bhatnagar , Shubhang Bhatnagar

We generalize the standard Hopfield model to the case when a weight is assigned to each input pattern. The weight can be interpreted as the frequency of the pattern occurrence at the input of the network. In the framework of the statistical…

Disordered Systems and Neural Networks · Physics 2012-05-07 Iakov Karandashev , Boris Kryzhanovsky , Leonid Litinskii

The problem of fast items retrieval from a fixed collection is often encountered in most computer science areas, from operating system components to databases and user interfaces. We present an approach based on hash tables that focuses on…

Neural and Evolutionary Computing · Computer Science 2020-07-17 Dan Domnita , Ciprian Oprisa
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