The space of interactions in neural network models
From MaRDI portal
Publication:5443503
DOI10.1088/0305-4470/21/1/030zbMath1128.82302OpenAlexW2030450972MaRDI QIDQ5443503
Publication date: 21 February 2008
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/7346d681807bf0852695caa42dbecae5265b360a
Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Neural nets applied to problems in time-dependent statistical mechanics (82C32)
Related Items (72)
On-line learning through simple perceptron learning with a margin ⋮ Unified field theoretical approach to deep and recurrent neuronal networks ⋮ Pattern capacity of a single quantum perceptron ⋮ Satisfiability transition in asymmetric neural networks ⋮ On non-negative solutions to large systems of random linear equations ⋮ On the Marchenko–Pastur law in analog bipartite spin-glasses ⋮ Mean field theory of jamming of nonspherical particles ⋮ Mean-field inference methods for neural networks ⋮ Analysis of Bayesian inference algorithms by the dynamical functional approach ⋮ Interpolating between boolean and extremely high noisy patterns through minimal dense associative memories ⋮ ‘Place-cell’ emergence and learning of invariant data with restricted Boltzmann machines: breaking and dynamical restoration of continuous symmetries in the weight space ⋮ A precise high-dimensional asymptotic theory for boosting and minimum-\(\ell_1\)-norm interpolated classifiers ⋮ Some mathematical and computer modelling of neural networks ⋮ Tregs self-organize into a computing ecosystem and implement a sophisticated optimization algorithm for mediating immune response ⋮ Tutorial series on brain-inspired computing. III: Brain science, information science and associative memory model ⋮ Tutorial series on brain-inspired computing. V: Statistical mechanics of communication and computation ⋮ Computing and Stability in Cortical Networks ⋮ A visual analysis of learning rule effects and variable importance for neural networks in data mining operations ⋮ A multineuron interaction model for neural networks ⋮ A new mechanical approach to handle generalized Hopfield neural networks ⋮ Sudoku associative memory ⋮ Algorithmic pure states for the negative spherical perceptron ⋮ Impact of barren plateaus countermeasures on the quantum neural network capacity to learn ⋮ On the capacity of a quantum perceptron for storing biased patterns ⋮ Intersecting random half cubes ⋮ Out-of-equilibrium dynamical mean-field equations for the perceptron model ⋮ Turning statistical mechanics on its head ⋮ Storing Object-Dependent Sparse Codes in a Willshaw Associative Network ⋮ Iterative Retrieval and Block Coding in Autoassociative and Heteroassociative Memory ⋮ Efficient Associative Computation with Discrete Synapses ⋮ Exponentially Long Orbits in Hopfield Neural Networks ⋮ Variable threshold as a model for selective attention, (de)sensitization, and anesthesia in associative neural networks ⋮ Dreaming neural networks: rigorous results ⋮ On the Classification Capability of Sign-Constrained Perceptrons ⋮ Supervised learning with decision margins in pools of spiking neurons ⋮ Optimising synaptic learning rules in linear associative memories ⋮ Stability of the replica symmetric solution in diluted perceptron learning ⋮ Statistical mechanics of complex neural systems and high dimensional data ⋮ The jamming transition in high dimension: an analytical study of the TAP equations and the effective thermodynamic potential ⋮ Phase transitions in integer linear problems ⋮ Rigorous learning curve bounds from statistical mechanics ⋮ Neural Associative Memory with Optimal Bayesian Learning ⋮ PATTERN RECOGNITION WITH STOCHASTIC RESONANCE IN A GENERIC NEURAL NETWORK ⋮ Rigorous results for mean field models for spin glasses ⋮ Replica-Mean-Field Limits for Intensity-Based Neural Networks ⋮ Validation of the replica trick for simple models ⋮ Geometric compression of invariant manifolds in neural networks ⋮ The loss surfaces of neural networks with general activation functions ⋮ Information processing in three-state neural networks ⋮ Neural networks as systems for recognizing patterns ⋮ Covering cubes by random half cubes, with applications to binary neural networks ⋮ Correlation Between Eigenvalue Spectra and Dynamics of Neural Networks ⋮ Feedback-induced self-oscillations in large interacting systems subjected to phase transitions ⋮ A spin glass model for the loss surfaces of generative adversarial networks ⋮ Unnamed Item ⋮ Notions of associative memory and sparse coding ⋮ Quantum Perceptrons ⋮ Generalization performance of Bayes optimal classification algorithm for learning a perceptron ⋮ Self-planting: digging holes in rough landscapes ⋮ Good speciation and endogenous business cycles in a constraint satisfaction macroeconomic model ⋮ A dynamical mean-field theory for learning in restricted Boltzmann machines ⋮ Wide flat minima and optimal generalization in classifying high-dimensional Gaussian mixtures ⋮ Surfing on minima of isostatic landscapes: avalanches and unjamming transition ⋮ Critical properties of the SAT/UNSAT transitions in the classification problem of structured data ⋮ Techniques of replica symmetry breaking and the storage problem of the McCulloch-Pitts neuron ⋮ Why spikes? Hebbian learning and retrieval of time-resolved excitation patterns ⋮ Free energy of a diluted spin Glass model with quadratic Hamiltonian ⋮ Gaussian-spherical restricted Boltzmann machines ⋮ Capacity of the covariance perceptron ⋮ Replica analysis of overfitting in generalized linear regression models ⋮ Computational Capacity of an Odorant Discriminator: The Linear Separability of Curves ⋮ Universal characteristics of deep neural network loss surfaces from random matrix theory
This page was built for publication: The space of interactions in neural network models