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Representation learning on dynamic graphs requires capturing complex dependencies that evolve across both time and structure. Existing approaches typically adopt fixed temporal decay schemes or predetermined structural propagation depths,…

Dense associative memory, a fundamental instance of modern Hopfield networks, can store a large number of memory patterns as equilibrium states of recurrent networks. While the stationary-state storage capacity has been investigated, its…

无序系统与神经网络 · 物理学 2025-10-29 Kazushi Mimura , Jun'ichi Takeuchi , Yuto Sumikawa , Yoshiyuki Kabashima , Anthony C. C. Coolen

The Hopfield associative memory model stores random patterns in synaptic couplings according to Hebb's rule and retrieves them through gradient descent on an energy function. This conventional setting, where neurons are assumed to have…

无序系统与神经网络 · 物理学 2026-01-23 Yoshiyuki Kabashima , Kazushi Mimura

It is well known that a sparsely coded network in which the activity level is extremely low has intriguing equilibrium properties. In the present work, we study the dynamical properties of a neural network designed to store sparsely coded…

无序系统与神经网络 · 物理学 2009-10-31 Katsunori Kitano , Toshio Aoyagi

Self-sustained, elevated neuronal activity persisting on time scales of ten seconds or longer is thought to be vital for aspects of working memory, including brain representations of real space. Continuous-attractor neural networks, one of…

神经元与认知 · 定量生物学 2020-08-19 Joseph L. Natale , H. George E. Hentschel , Ilya Nemenman

Neural population activity is theorized to reflect an underlying dynamical structure. This structure can be accurately captured using state space models with explicit dynamics, such as those based on recurrent neural networks (RNNs).…

神经元与认知 · 定量生物学 2023-07-21 Joel Ye , Chethan Pandarinath

The \textit{de facto} paradigm for applying dense retrieval (DR) to new tasks involves fine-tuning a pre-trained model for a specific task. However, this paradigm has two significant limitations: (1) It is difficult adapt the DR to a new…

信息检索 · 计算机科学 2026-02-27 Zhan Su , Fengran Mo , Jinghan Zhang , Yuchen Hui , Jia Ao Sun , Bingbing Wen , Jian-Yun Nie

Continuous-Time Recurrent Neural Networks (CTRNNs) have been widely used for their capacity to model complex temporal behaviour. However, their internal dynamics often remain difficult to interpret. In this paper, we propose a new class of…

无序系统与神经网络 · 物理学 2025-11-17 Miguel Aguilera , Daniele De Martino , Ivan Garashchuk , Dmitry Sinelshchikov

Double Reinforcement Learning (DRL) enables efficient inference for policy values in nonparametric Markov decision processes (MDPs), but existing methods face two major obstacles: (1) they require stringent intertemporal overlap conditions…

机器学习 · 统计学 2025-11-14 Lars van der Laan , David Hubbard , Allen Tran , Nathan Kallus , Aurélien Bibaut

An Ashkin-Teller neural network, allowing for two types of neurons is considered in the case of low loading as a function of the strength of the respective couplings between these neurons. The storage and retrieval of embedded patterns…

无序系统与神经网络 · 物理学 2009-10-31 D. Bolle , P. Kozlowski

Reproducibility of a deep-learning fully convolutional neural network is evaluated by training several times the same network on identical conditions (database, hyperparameters, hardware) with non-deterministic Graphics Processings Unit…

机器学习 · 计算机科学 2021-06-01 Wagner Gonçalves Pinto , Antonio Alguacil , Michaël Bauerheim

The subject of study is a neural network with binary neurons, randomly diluted synapses and variable pattern activity. We look at the system with parallel updating using a probabilistic approach to solve the one step dynamics with one…

无序系统与神经网络 · 物理学 2009-10-31 Stefan Grosskinsky

Population-based learning paradigms, including evolutionary strategies, Population-Based Training (PBT), and recent model-merging methods, combine fast within-model optimisation with slower population-level adaptation. Despite their…

机器学习 · 计算机科学 2026-03-26 Giacomo Borghi , Hyesung Im , Lorenzo Pareschi

Natural memories are associative, declarative and distributed. Symbolic computing memories resemble natural memories in their declarative character, and information can be stored and recovered explicitly; however, they lack the associative…

人工智能 · 计算机科学 2020-09-29 Luis A. Pineda , Gibrán Fuentes , Rafael Morales

We investigate associative-memory behavior in a reconfigurable particle packing programmed by purely local cyclic driving. The system is a two-dimensional bidisperse Lennard--Jones particle assembly with periodic boundaries evolved under…

Firing rate models are dynamical systems widely used in applied and theoretical neuroscience to describe local cortical dynamics in neuronal populations. By providing a macroscopic perspective of neuronal activity, these models are…

神经元与认知 · 定量生物学 2025-09-03 Simone Betteti , Giacomo Baggio , Francesco Bullo , Sandro Zampieri

Deep reinforcement learning (DRL) has significantly advanced the field of combinatorial optimization (CO). However, its practicality is hindered by the necessity for a large number of reward evaluations, especially in scenarios involving…

机器学习 · 计算机科学 2024-07-18 Hyeonah Kim , Minsu Kim , Sungsoo Ahn , Jinkyoo Park

The thermodynamic and retrieval properties of the Ashkin-Teller neural network model storing an infinite number of patterns are examined in the replica-symmetric mean-field approximation. In particular, for linked patterns…

无序系统与神经网络 · 物理学 2009-10-31 D. Bolle , P. Kozlowski

The retrieval behavior and thermodynamic properties of symmetrically diluted Q-Ising neural networks are derived and studied in replica-symmetric mean-field theory generalizing earlier works on either the fully connected or the symmetrical…

无序系统与神经网络 · 物理学 2009-11-07 W. K. Theumann , R. Erichsen

In this work we solve the dynamics of pattern diluted associative networks, evolving via sequential Glauber update. We derive dynamical equations for the order parameters, that quantify the simultaneous pattern recall of the system, and…

无序系统与神经网络 · 物理学 2015-06-19 Silvia Bartolucci , Alessia Annibale
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