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It has been shown that a neural network model recently proposed to describe basic memory performance is based on a ternary/binary coding/decoding algorithm which leads to a new neural network assembly memory model (NNAMM) providing…

人工智能 · 计算机科学 2007-05-23 Petro M. Gopych

A ternary/binary data coding algorithm and conditions under which Hopfield networks implement optimal convolutional or Hamming decoding algorithms has been described. Using the coding/decoding approach (an optimal Binary Signal Detection…

人工智能 · 计算机科学 2007-05-23 Petro M. Gopych

Receiver operating characteristic (ROC) analysis is one of the most popular approaches for evaluating and comparing the accuracy of medical diagnostic tests. Although various methodologies have been developed for estimating ROC curves and…

统计方法学 · 统计学 2022-08-16 Ainesh Sewak , Torsten Hothorn

Dense Associative Memories or Modern Hopfield Networks have many appealing properties of associative memory. They can do pattern completion, store a large number of memories, and can be described using a recurrent neural network with a…

神经与进化计算 · 计算机科学 2021-07-29 Dmitry Krotov

The standard Hopfield model for associative neural networks accounts for biological Hebbian learning and acts as the harmonic oscillator for pattern recognition, however its maximal storage capacity is $\alpha \sim 0.14$, far from the…

神经与进化计算 · 计算机科学 2018-10-30 Alberto Fachechi , Elena Agliari , Adriano Barra

We introduce Graph Hopfield Networks, whose energy function couples associative memory retrieval with graph Laplacian smoothing for node classification. Gradient descent on this joint energy yields an iterative update interleaving Hopfield…

机器学习 · 计算机科学 2026-03-05 Abinav Rao , Alex Wa , Rishi Athavale

Neural Additive Models (NAMs) have recently demonstrated promising predictive performance while maintaining interpretability. However, their capacity is limited to capturing only first-order feature interactions, which restricts their…

机器学习 · 计算机科学 2025-11-17 Minkyu Kim , Hyun-Soo Choi , Jinho Kim

We consider the class of Hopfield models of associative memory with activation function $F$ and state space $\{-1,1\}^N$, where each vertex of the cube describes a configuration of $N$ binary neurons. $M$ randomly chosen configurations,…

概率论 · 数学 2025-04-08 Véronique Gayrard

Associative memory models are content-addressable memory systems fundamental to biological intelligence and are notable for their high interpretability. However, existing models evaluate the quality of retrieval based on proximity, which…

机器学习 · 计算机科学 2025-11-26 Shurong Wang , Yuqi Pan , Zhuoyang Shen , Meng Zhang , Hongwei Wang , Guoqi Li

In the present paper, an effort has been made for storing and recalling images with Hopfield Neural Network Model of auto-associative memory. Images are stored by calculating a corresponding weight matrix. Thereafter, starting from an…

神经与进化计算 · 计算机科学 2011-05-03 C. Ramya , G. Kavitha , Dr. K. S. Shreedhara

The receiver operating characteristic (ROC) curve and its summary measure, the Area Under the Curve (AUC), are well-established tools for evaluating the efficacy of biomarkers in biomedical studies. Compared to the traditional ROC curve,…

统计方法学 · 统计学 2025-10-20 Ziad Akram Ali Hammouri , Yating Zou , Rahul Ghosal , Juan C. Vidal , Marcos Matabuena

A large number of neural network models of associative memory have been proposed in the literature. These include the classical Hopfield networks (HNs), sparse distributed memories (SDMs), and more recently the modern continuous Hopfield…

神经与进化计算 · 计算机科学 2022-06-20 Beren Millidge , Tommaso Salvatori , Yuhang Song , Thomas Lukasiewicz , Rafal Bogacz

Throughout science and technology, receiver operating characteristic (ROC) curves and associated area under the curve (AUC) measures constitute powerful tools for assessing the predictive abilities of features, markers and tests in binary…

机器学习 · 统计学 2021-06-25 Tilmann Gneiting , Eva-Maria Walz

This article considers the receiver operating characteristic (ROC) curve analysis for medical data with non-ignorable missingness in the disease status. In the framework of the logistic regression models for both the disease status and the…

统计方法学 · 统计学 2024-11-27 Dingding Hu , Tao Yu , Pengfei Li

Receiver operating characteristic (ROC) curve is an informative tool in binary classification and Area Under ROC Curve (AUC) is a popular metric for reporting performance of binary classifiers. In this paper, first we present a…

机器学习 · 计算机科学 2021-09-14 Khashayar Namdar , Masoom A. Haider , Farzad Khalvati

Receiver operating characteristic (ROC) curves are used ubiquitously to evaluate covariates, markers, or features as potential predictors in binary problems. We distinguish raw ROC diagnostics and ROC curves, elucidate the special role of…

统计方法学 · 统计学 2018-09-14 Tilmann Gneiting , Peter Vogel

Receiver Operating Characteristic (ROC) curves are plots of true positive rate versus false positive rate which are useful for evaluating binary classification models, but difficult to use for learning since the Area Under the Curve (AUC)…

机器学习 · 统计学 2021-07-06 Jonathan Hillman , Toby Dylan Hocking

Auto-associative neural networks (e.g., the Hopfield model implementing the standard Hebbian prescription) serve as a foundational framework for pattern recognition and associative memory in statistical mechanics. However, their…

无序系统与神经网络 · 物理学 2025-06-03 Elena Agliari , Andrea Alessandrelli , Adriano Barra , Martino Salomone Centonze , Federico Ricci-Tersenghi

Associative memories are structures that store data in such a way that it can later be retrieved given only a part of its content -- a sort-of error/erasure-resilience property. They are used in applications ranging from caches and memory…

信息论 · 计算机科学 2013-04-23 Vincent Gripon , Michael Rabbat

We introduce the Dreaming $L$-directional Associative Memory (DLAM), a multi-layer Hebbian architecture in which off-line dreaming and supervised heteroassociative coupling coexist within a single energy function, placing our approach…

无序系统与神经网络 · 物理学 2026-05-14 Adriano Barra , Fabrizio Durante , Andrea Ladiana , Michela Marra Solazzo
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