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Collective properties of neural networks: A statistical physics approach

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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The Existence of Persistent States in the Brain
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Theoretical Approaches to Complex Systems
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Theoretical Approaches to Complex Systems
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A model of associative memory in the brain
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Reverberations and control of neural networks
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Large-scale activity in neural nets I: Theory with application to motoneuron pool responses
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F�higkeiten eines assoziativen Speichersystems im Vergleich zu Gehirnfunktionen
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Neural theory of association and concept-formation
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Theory of disordered spin systems
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Cell assemblies in the cerebral cortex
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The existence of persistent states in the brain
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Analytic study of the memory storage capacity of a neural network
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Neural model with probabilistic firing behavior. I. general considerations.
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Neural model with probabilistic firing behavior. II. One- and two-neuron networks
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Fundamental problems in statistical mechanics
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Statistical mechanics of neocortical interactions
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Solvable spin systems with random interactions
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A Possible Organization of Animal Memory and Learning11This work was supported in part by the US National Science Foundation.
inferredcites →https://doi.org/10.1016/b978-0-12-460350-9.x5001-2openalex-snapshot
Collective Properties of Physical Systems
inferredcites →https://doi.org/10.1016/s0022-5193(70)80036-4openalex-snapshot
Dynamics of neural structures
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Fundamental Problems in Statistical Mechanics
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Neural networks and physical systems with emergent collective computational abilities.
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Ground-state correlations in the two-dimensional Ising frustration model
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Statistical mechanics of neocortical interactions. Dynamics of synaptic modification
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Infinite-ranged models of spin-glasses
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Digital dynamics and the simulation of magnetic systems
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Infinite Number of Order Parameters for Spin-Glasses
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Classical Spin-Glass Model
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A study of synaptic transmission in the absence of nerve impulses
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The Computer and the Brain
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The Organization of Behavior

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Artificial Neural Networks and Their use in Chemistry
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Lyapunov functional for neural networks with delayed interactions and statistical mechanics of temporal associations
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On Potts-glass neural networks with biased patterns
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Dynamics of Automata, Spin Glasses and Neural Network Models
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Recurrent Collateral Inhibition Simulated in a Simple Neuronal Automata Assembly
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Collective Phenomena in Neural Networks
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Introduction
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From Brain Theory to Future Generations Computer Systems
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Introduction
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Attractor neural networks and biological reality: associative memory and learning
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Physical Modeling of Neural Networks
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Pseudo-likelihood produces associative memories able to generalize, even for asymmetric couplings
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Associative neural network model for the generation of temporal patterns. Theory and application to central pattern generators
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Biologically Plausible Associative Memory: Continuous Unit Response + Stochastic Dynamics
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Inverse statistical problems: from the inverse Ising problem to data science
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EFFECT OF SPATIAL FACILITATION ON NEURAL NETWORK EXCITABILITY
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Transfer operator analysis of the parallel dynamics of disordered Ising chains
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Storing patterns in a spin-glass model of neural networks nears saturation
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Storing extensively many weighted patterns in a saturated neural network
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Non-linear neural networks with external noise
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Complex temporal association in neural networks
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Dynamics of a neural network with hierarchically stored patterns
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Retrieval phase diagrams for attractor neural networks with optimal interactions
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Two-state representations of three-state neural networks
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External fields in attractor neural networks with different learning rules
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An extremely diluted asymmetric network with graded response neurons
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The parallel dynamics of a dilute symmetric Hebb-rule network
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Domains of attraction of neural networks at finite temperature
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Competition between pattern reconstruction and sequence processing in nonsymmetric neural networks
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Onset of 'super retrieval phase' and enhancement of the storage capacity in neural networks of nonmonotonic neurons
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Statistical mechanics for neural networks with continuous-time dynamics
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Retrieval dynamics of associative memory of the Hopfield type
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Attractor properties of dynamical systems: neural network models
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Recognition of temporal sequences of patterns using state-dependent synapses
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Quasi-periodicity and bifurcation phenomena in Ising spin neural networks with asymmetric interactions
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On the relaxation of infinite-range spin glasses
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Parallel simulations in ferromagnetic spin systems
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Cycles in a synchronous neural network
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Multivalley structure of attractor neural networks
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Relaxation, closing probabilities and transition from oscillatory to chaotic attractors in asymmetric neural networks
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(1 + ∞)-dimensional attractor neural networks
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Random field Ising chains with synchronous dynamics
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Parallel dynamics of disordered Ising spin systems on finitely connected random graphs
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The Little–Hopfield model on a sparse random graph
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The signal-to-noise analysis of the Little–Hopfield model revisited
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Statistical mechanics as the underlying theory of ‘elastic’ and ‘neural’ optimisations
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Modelling of the Bonhoeffer-effect during LTP learning
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Stationary states of a spherical Minority Game with ergodicity breaking
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Effects of neuronal loss in the dynamic model of neural networks
inferred← citeshttps://doi.org/10.1088/1751-8113/42/41/415001openalex-snapshot
Parallel dynamics of disordered Ising spin systems on finitely connected directed random graphs with arbitrary degree distributions
inferred← citeshttps://doi.org/10.1088/1751-8113/47/10/105001openalex-snapshot
Transfer matrix analysis of one-dimensional majority cellular automata with thermal noise
inferred← citeshttps://doi.org/10.1088/1751-8113/49/43/434003openalex-snapshot
Variational perturbation and extended Plefka approaches to dynamics on random networks: the case of the kinetic Ising model
inferred← citeshttps://doi.org/10.1088/1751-8121/50/3/033001openalex-snapshot
Path integral methods for the dynamics of stochastic and disordered systems
inferred← citeshttps://doi.org/10.1088/1751-8121/ac9165openalex-snapshot
Dynamics of sparse Boolean networks with multi-node and self-interactions
inferred← citeshttps://doi.org/10.1088/2632-2153/ad5a5fopenalex-snapshot
Unlearning regularization for Boltzmann machines
inferred← citeshttps://doi.org/10.1093/cercor/bhaa190openalex-snapshot
Connectome Signatures of Hyperexcitation in Cognitively Intact Middle-Aged Female APOE-ε4 Carriers
inferred← citeshttps://doi.org/10.1098/rstb.1991.0050openalex-snapshot
Probabilistic secretion of quanta in the central nervous system: granule cell synaptic control of pattern separation and activity regulation
inferred← citeshttps://doi.org/10.1101/2022.04.28.489908openalex-snapshot
Attractor dynamics of a whole-cortex network model predicts emergence and structure of fMRI co-activation patterns in the mouse brain
inferred← citeshttps://doi.org/10.1103/16r5-nddcopenalex-snapshot
Finite-Time Observability of Oscillatory Instabilities in Synchronous p-bit Dynamics
inferred← citeshttps://doi.org/10.1103/physreva.32.1007openalex-snapshot
Spin-glass models of neural networks
inferred← citeshttps://doi.org/10.1103/physreva.34.3435openalex-snapshot
Spin-glass models of a neural network
inferred← citeshttps://doi.org/10.1103/physreva.34.4217openalex-snapshot
Collective computational properties of neural networks: New learning mechanisms
inferred← citeshttps://doi.org/10.1103/physreva.34.714openalex-snapshot
Physicality of the Little model
inferred← citeshttps://doi.org/10.1103/physreva.35.380openalex-snapshot
Associative recall of memory without errors
inferred← citeshttps://doi.org/10.1103/physreva.36.1959openalex-snapshot
Nonlinear neural networks near saturation
inferred← citeshttps://doi.org/10.1103/physreva.36.2475openalex-snapshot
Information storage and retrieval in synchronous neural networks
inferred← citeshttps://doi.org/10.1103/physreva.37.2739openalex-snapshot
Potts-glass models of neural networks
inferred← citeshttps://doi.org/10.1103/physreva.39.347openalex-snapshot
Stability of analog neural networks with delay
inferred← citeshttps://doi.org/10.1103/physreva.41.1126openalex-snapshot
Random iterative networks
inferred← citeshttps://doi.org/10.1103/physreva.43.1079openalex-snapshot
Phase transitions in a dynamic model of neural networks
inferred← citeshttps://doi.org/10.1103/physreva.43.2084openalex-snapshot
Statistical mechanics for networks of graded-response neurons
inferred← citeshttps://doi.org/10.1103/physreva.43.2613openalex-snapshot
Single effective neuron
inferred← citeshttps://doi.org/10.1103/physreva.43.7012openalex-snapshot
Statistical-mechanical formulation of the Willshaw model with local inhibition
inferred← citeshttps://doi.org/10.1103/physreva.44.4005openalex-snapshot
Stochastic dynamics of time-summating binary neural networks
inferred← citeshttps://doi.org/10.1103/physreva.45.7549openalex-snapshot
Analysis of quantal synaptic noise in neural networks using iterated function systems
inferred← citeshttps://doi.org/10.1103/physreva.46.1116openalex-snapshot
Control-parameter scaling in a Hopfield-Tank list-matching network
inferred← citeshttps://doi.org/10.1103/physreva.91.043811openalex-snapshot
Statistical physical theory of mode-locking laser generation with a frequency comb
inferred← citeshttps://doi.org/10.1103/physreve.105.014116openalex-snapshot
Quasiequilibrium multistate cellular automata
inferred← citeshttps://doi.org/10.1103/physreve.107.034127openalex-snapshot
Nonequilibrium dynamics of the Ising model on heterogeneous networks with an arbitrary distribution of threshold noise
inferred← citeshttps://doi.org/10.1103/physreve.47.2155openalex-snapshot
Distributed dynamics in neural networks
inferred← citeshttps://doi.org/10.1103/physreve.50.709openalex-snapshot
Mean-field Monte Carlo approach to the Sherrington-Kirkpatrick model with asymmetric couplings
inferred← citeshttps://doi.org/10.1103/physreve.51.738openalex-snapshot
Time structure of the activity in neural network models
inferred← citeshttps://doi.org/10.1103/physreve.55.5849openalex-snapshot
Stimulus-dependent correlations in stochastic networks
inferred← citeshttps://doi.org/10.1103/physreve.55.7344openalex-snapshot
Dynamical phase diagrams of neural networks with asymmetric couplings
inferred← citeshttps://doi.org/10.1103/physreve.61.4235openalex-snapshot
Fisher information and temporal correlations for spiking neurons with stochastic dynamics
inferred← citeshttps://doi.org/10.1103/physreve.87.032131openalex-snapshot
Emergence of equilibriumlike domains within nonequilibrium Ising spin systems
inferred← citeshttps://doi.org/10.1103/physreve.88.062114openalex-snapshot
Conciliating synchronicity with spatial discretization, exclusion, interactions, and detailed balance
inferred← citeshttps://doi.org/10.1103/physreve.90.022118openalex-snapshot
Thermodynamics of the one-dimensional parallel Kawasaki model: Exact solution and mean-field approximations
inferred← citeshttps://doi.org/10.1103/physreve.96.022126openalex-snapshot
Large deviations of the finite-time magnetization of the Curie-Weiss random-field Ising model
inferred← citeshttps://doi.org/10.1103/physreve.99.012316openalex-snapshot
Optimized brute-force algorithms for the bifurcation analysis of a binary neural network model
inferred← citeshttps://doi.org/10.1103/physrevlett.55.1530openalex-snapshot
Storing Infinite Numbers of Patterns in a Spin-Glass Model of Neural Networks
inferred← citeshttps://doi.org/10.1103/physrevlett.57.913openalex-snapshot
Nonlinear Neural Networks
inferred← citeshttps://doi.org/10.1103/physrevlett.58.949openalex-snapshot
Learning of correlated patterns in spin-glass networks by local learning rules
inferred← citeshttps://doi.org/10.1103/physrevlett.61.2809openalex-snapshot
Dynamic Model of Neural Networks
inferred← citeshttps://doi.org/10.1103/physrevlett.66.1370openalex-snapshot
Statistical mechanics of temporal association in neural networks with transmission delays
inferred← citeshttps://doi.org/10.1103/physrevx.13.041043openalex-snapshot
Enhanced Associative Memory, Classification, and Learning with Active Dynamics
inferred← citeshttps://doi.org/10.1103/revmodphys.58.801openalex-snapshot
Spin glasses: Experimental facts, theoretical concepts, and open questions
inferred← citeshttps://doi.org/10.1103/revmodphys.65.499openalex-snapshot
The statistical mechanics of learning a rule
inferred← citeshttps://doi.org/10.1109/18.32122openalex-snapshot
Classification performance of a Hopfield neural network based on a Hebbian-like learning rule
inferred← citeshttps://doi.org/10.1109/18.87009openalex-snapshot
Learning by parallel Boltzmann machines
inferred← citeshttps://doi.org/10.1109/21.105090openalex-snapshot
A probabilistic model of neural networks with static attractors
inferred← citeshttps://doi.org/10.1109/72.165593openalex-snapshot
A parallel network for visual cognition
inferred← citeshttps://doi.org/10.1109/compeng60905.2024.10741409openalex-snapshot
Learning and Unlearning: Bridging classification, memory and generative modeling in Recurrent Neural Networks
inferred← citeshttps://doi.org/10.1109/eurocon.2017.8011193openalex-snapshot
An overview of fastcinating ideas on complexity and complex networks and systems in computational cybernetics: Dedicated to Prof. Rudoplh E. Kalman, a giant of systems and control sciences, who past away on July 3, 2016: Jean Jacques Russeaux: “Who dares to say — this far man can go but not a step…
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