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Hopfield networks are an attractive choice for solving many types of computational problems because they provide a biologically plausible mechanism. The Self-Optimization (SO) model adds to the Hopfield network by using a biologically…

适应与自组织系统 · 物理学 2024-03-06 Natalya Weber , Werner Koch , Ozan Erdem , Tom Froese

The Self-Optimization (SO) model is a useful computational model for investigating self-organization in "soft" Artificial life (ALife) as it has been shown to be general enough to model various complex adaptive systems. So far, existing…

适应与自组织系统 · 物理学 2023-04-07 Natalya Weber , Werner Koch , Tom Froese

While Hopfield networks are known as paradigmatic models for memory storage and retrieval, modern artificial intelligence systems mainly stand on the machine learning paradigm. We show that it is possible to formulate a teacher-student…

无序系统与神经网络 · 物理学 2024-01-02 Francesco Alemanno , Luca Camanzi , Gianluca Manzan , Daniele Tantari

The state space of a conventional Hopfield network typically exhibits many different attractors of which only a small subset satisfy constraints between neurons in a globally optimal fashion. It has recently been demonstrated that combining…

适应与自组织系统 · 物理学 2014-09-02 Alexander Woodward , Tom Froese , Takashi Ikegami

We propose a model for demonstrating spontaneous emergence of collective intelligent behavior from selfish individual agents. Agents' behavior is modeled using our proposed selfish algorithm ($SA$) with three learning mechanisms: reinforced…

适应与自组织系统 · 物理学 2020-01-06 Korosh Mahmoodi , Bruce J. West , Cleotilde Gonzalez

We investigate the computational limits of the memory retrieval dynamics of modern Hopfield models from the fine-grained complexity analysis. Our key contribution is the characterization of a phase transition behavior in the efficiency of…

机器学习 · 计算机科学 2024-06-04 Jerry Yao-Chieh Hu , Thomas Lin , Zhao Song , Han Liu

Associative memory, traditionally modeled by Hopfield networks, enables the retrieval of previously stored patterns from partial or noisy cues. Yet, the local computational principles which are required to enable this function remain…

We describe via simulation novel optimization algorithms for a Hopfield neural network constructed using manufacturable three-terminal Silicon-Oxide-Nitride-Oxide-Silicon (SONOS) synaptic devices. We first present a computationally-light,…

材料科学 · 物理学 2021-04-27 Su-in Yi , Suhas Kumar , R. Stanley Williams

Hopfield neural networks are a possible basis for modelling associative memory in living organisms. After summarising previous studies in the field, we take a new look at learning rules, exhibiting them as descent-type algorithms for…

神经与进化计算 · 计算机科学 2020-10-06 Pavel Tolmachev , Jonathan H. Manton

The Hopfield model is a pioneering neural network model with associative memory retrieval. The analytical solution of the model in mean field limit revealed that memories can be retrieved without any error up to a finite storage capacity of…

无序系统与神经网络 · 物理学 2017-10-31 Do-Hyun Kim , Jinha Park , B. Kahng

Understanding the memory capacity of neural networks remains a challenging problem in implementing artificial intelligence systems. In this paper, we address the notion of capacity with respect to Hopfield networks and propose a dynamic…

神经与进化计算 · 计算机科学 2017-09-19 Saarthak Sarup , Mingoo Seok

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

Recent studies have shown that synaptic unreliability is a robust and sufficient mechanism for inducing the stochasticity observed in cortex. Here, we introduce Synaptic Sampling Machines, a class of neural network models that uses synaptic…

神经与进化计算 · 计算机科学 2016-12-16 Emre O. Neftci , Bruno U. Pedroni , Siddharth Joshi , Maruan Al-Shedivat , Gert Cauwenberghs

The brain can reproduce memories from partial data; this ability is critical for memory recall. The process of memory recall has been studied using auto-associative networks such as the Hopfield model. This kind of model reliably converges…

神经元与认知 · 定量生物学 2016-05-18 James P. Roach , Leonard M Sander , Michal R. Zochowski

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

Unsupervised learning in a generalized Hopfield associative-memory network is investigated in this work. First, we prove that the (generalized) Hopfield model is equivalent to a semi-restricted Boltzmann machine with a layer of visible…

神经与进化计算 · 计算机科学 2017-07-26 Huiling Zhen , Shang-Nan Wang , Hai-Jun Zhou

Understanding the theoretical foundations of how memories are encoded and retrieved in neural populations is a central challenge in neuroscience. A popular theoretical scenario for modeling memory function is the attractor neural network…

神经元与认知 · 定量生物学 2016-02-17 Alireza Alemi , Carlo Baldassi , Nicolas Brunel , Riccardo Zecchina

A general framework of unsupervised learning for combinatorial optimization (CO) is to train a neural network (NN) whose output gives a problem solution by directly optimizing the CO objective. Albeit with some advantages over traditional…

机器学习 · 计算机科学 2023-01-24 Haoyu Wang , Pan Li

We present a system comprising a hybridization of self-organized map (SOM) properties with spiking neural networks (SNNs) that retain many of the features of SOMs. Networks are trained in an unsupervised manner to learn a self-organized…

神经与进化计算 · 计算机科学 2019-03-27 Hananel Hazan , Daniel J. Saunders , Darpan T. Sanghavi , Hava T. Siegelmann , Robert Kozma

The term serendipity describes a creative process that develops, in context, with the active participation of a creative agent, but not entirely within that agent's control. While a system cannot be made to perform serendipitously on…

人工智能 · 计算机科学 2020-04-21 Joseph Corneli , Anna Jordanous , Christian Guckelsberger , Alison Pease , Simon Colton
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