Functional Large Deviations for Wide Deep Neural Networks with Gaussian Initialization and Lipschitz Activations
Fuente:
arXiv
Guardado en:
| Autores principales: | Macci, Claudio, Pacchiarotti, Barbara, Papagiannouli, Katerina, Torrisi, Giovanni Luca, Trevisan, Dario |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
Ejemplares similares
Large and moderate deviations for Gaussian neural networks
por: Macci, Claudio, et al.
Publicado: (2024)
por: Macci, Claudio, et al.
Publicado: (2024)
Large deviation principles and functional limit theorems in the deep limit of wide random neural networks
por: Di Lillo, Simmaco, et al.
Publicado: (2026)
por: Di Lillo, Simmaco, et al.
Publicado: (2026)
Posterior Bayesian Neural Networks with Dependent Weights
por: Apollonio, Nicola, et al.
Publicado: (2025)
por: Apollonio, Nicola, et al.
Publicado: (2025)
Large Deviations of Gaussian Neural Networks with ReLU activation
por: Vogel, Quirin
Publicado: (2024)
por: Vogel, Quirin
Publicado: (2024)
Asymptotic results for compound sums in separable Banach spaces
por: Macci, Claudio, et al.
Publicado: (2023)
por: Macci, Claudio, et al.
Publicado: (2023)
Some vector-valued examples of noncentral moderate deviation results
por: Macci, Claudio, et al.
Publicado: (2025)
por: Macci, Claudio, et al.
Publicado: (2025)
Phase Transitions in the Fluctuations of Functionals of Random Neural Networks
por: Di Lillo, Simmaco, et al.
Publicado: (2026)
por: Di Lillo, Simmaco, et al.
Publicado: (2026)
Analysis of multivariate symbol statistics in primitive rational models
por: Goldwurm, Massimiliano, et al.
Publicado: (2026)
por: Goldwurm, Massimiliano, et al.
Publicado: (2026)
Upper and lower bounds for the Lipschitz constant of random neural networks
por: Geuchen, Paul, et al.
Publicado: (2023)
por: Geuchen, Paul, et al.
Publicado: (2023)
Fractal and Regular Geometry of Deep Neural Networks
por: Di Lillo, Simmaco, et al.
Publicado: (2025)
por: Di Lillo, Simmaco, et al.
Publicado: (2025)
Large deviations of one-hidden-layer neural networks
por: Hirsch, Christian, et al.
Publicado: (2024)
por: Hirsch, Christian, et al.
Publicado: (2024)
Near-optimal estimates for the $\ell^p$-Lipschitz constants of deep random ReLU neural networks
por: Dirksen, Sjoerd, et al.
Publicado: (2025)
por: Dirksen, Sjoerd, et al.
Publicado: (2025)
Regime-Aware Conditional Neural Processes with Multi-Criteria Decision Support for Operational Electricity Price Forecasting
por: Das, Abhinav, et al.
Publicado: (2025)
por: Das, Abhinav, et al.
Publicado: (2025)
Non-Universal Moderate Deviation Principle for the Nodal Length of Arithmetic Random Waves
por: Macci, Claudio, et al.
Publicado: (2022)
por: Macci, Claudio, et al.
Publicado: (2022)
Kernel Limit for a Class of Recurrent Neural Networks Trained on Ergodic Data Sequences
por: Lam, Samuel Chun-Hei, et al.
Publicado: (2023)
por: Lam, Samuel Chun-Hei, et al.
Publicado: (2023)
Convergence Analysis of Real-time Recurrent Learning (RTRL) for a class of Recurrent Neural Networks
por: Lam, Samuel Chun-Hei, et al.
Publicado: (2025)
por: Lam, Samuel Chun-Hei, et al.
Publicado: (2025)
Genus expansion for non-linear random matrix ensembles with applications to neural networks
por: Cirone, Nicola Muca, et al.
Publicado: (2024)
por: Cirone, Nicola Muca, et al.
Publicado: (2024)
Mixed memories in Hopfield networks
por: Gayrard, Véronique
Publicado: (2025)
por: Gayrard, Véronique
Publicado: (2025)
Wide neural networks with general weights: convergence rate and explicit dependence on the hyper-parameters
por: Celli, Lucia
Publicado: (2026)
por: Celli, Lucia
Publicado: (2026)
LDP for the covariance process in fully connected neural networks
por: Andreis, Luisa, et al.
Publicado: (2025)
por: Andreis, Luisa, et al.
Publicado: (2025)
Entropic bounds for conditionally Gaussian vectors and applications to neural networks
por: Celli, Lucia, et al.
Publicado: (2025)
por: Celli, Lucia, et al.
Publicado: (2025)
Asymptotic results for sums and extremes
por: Giuliano, Rita, et al.
Publicado: (2022)
por: Giuliano, Rita, et al.
Publicado: (2022)
Quasi-invariant theorem on the Gaussian path space
por: Chen, Qinpin, et al.
Publicado: (2023)
por: Chen, Qinpin, et al.
Publicado: (2023)
Malliavin differentiability for the excursion measure of a Gaussian field
por: Maini, Leonardo
Publicado: (2025)
por: Maini, Leonardo
Publicado: (2025)
A Class of Gaussian Fields on $\mathbb{Z}_q^d$
por: Griffiths, Robert, et al.
Publicado: (2026)
por: Griffiths, Robert, et al.
Publicado: (2026)
The random $k$-SAT Gibbs uniqueness threshold revisited
por: Chatterjee, Arnab, et al.
Publicado: (2025)
por: Chatterjee, Arnab, et al.
Publicado: (2025)
Concentration of measure for non-linear random matrices with applications to neural networks and non-commutative polynomials
por: Adamczak, Radosław
Publicado: (2025)
por: Adamczak, Radosław
Publicado: (2025)
Deep neural networks with dependent weights: Gaussian Process mixture limit, heavy tails, sparsity and compressibility
por: Lee, Hoil, et al.
Publicado: (2022)
por: Lee, Hoil, et al.
Publicado: (2022)
Nodal Volumes as Differentiable Functionals of Gaussian fields
por: Peccati, Giovanni, et al.
Publicado: (2024)
por: Peccati, Giovanni, et al.
Publicado: (2024)
Riemann-Skorohod and Stratonovich integrals for Gaussian processes
por: Liu, Yanghui
Publicado: (2025)
por: Liu, Yanghui
Publicado: (2025)
Exponential bounds for the density of the law of the solution of a SDE with locally Lipschitz coefficients
por: Anton, Cristina
Publicado: (2024)
por: Anton, Cristina
Publicado: (2024)
Global law of conjugate kernel random matrices with heavy-tailed weights
por: Guionnet, Alice, et al.
Publicado: (2025)
por: Guionnet, Alice, et al.
Publicado: (2025)
Separation capacity of linear reservoirs with random connectivity matrix
por: Boutaib, Youness
Publicado: (2024)
por: Boutaib, Youness
Publicado: (2024)
Non-central limit of densities of some functionals of Gaussian processes
por: Bourguin, Solesne, et al.
Publicado: (2024)
por: Bourguin, Solesne, et al.
Publicado: (2024)
Spectral complexity of deep neural networks
por: Di Lillo, Simmaco, et al.
Publicado: (2024)
por: Di Lillo, Simmaco, et al.
Publicado: (2024)
On the Stability of the Jacobian Matrix in Deep Neural Networks
por: Dadoun, Benjamin, et al.
Publicado: (2025)
por: Dadoun, Benjamin, et al.
Publicado: (2025)
Wide stable neural networks: Sample regularity, functional convergence and Bayesian inverse problems
por: Soto, Tomás
Publicado: (2024)
por: Soto, Tomás
Publicado: (2024)
Universal Shuffle Asymptotics, Part II: Non-Gaussian Limits for Shuffle Privacy -- Poisson, Skellam, and Compound-Poisson Regimes
por: Shvets, Alex
Publicado: (2026)
por: Shvets, Alex
Publicado: (2026)
Malliavian differentiablity and smoothness of density for SDES with locally Lipschitz coefficients
por: Anton, Cristina
Publicado: (2024)
por: Anton, Cristina
Publicado: (2024)
Caputo fractional stochastic differential equations: Lipschitz continuity in the fractional order
por: Son, T. C., et al.
Publicado: (2024)
por: Son, T. C., et al.
Publicado: (2024)
Ejemplares similares
-
Large and moderate deviations for Gaussian neural networks
por: Macci, Claudio, et al.
Publicado: (2024) -
Large deviation principles and functional limit theorems in the deep limit of wide random neural networks
por: Di Lillo, Simmaco, et al.
Publicado: (2026) -
Posterior Bayesian Neural Networks with Dependent Weights
por: Apollonio, Nicola, et al.
Publicado: (2025) -
Large Deviations of Gaussian Neural Networks with ReLU activation
por: Vogel, Quirin
Publicado: (2024) -
Asymptotic results for compound sums in separable Banach spaces
por: Macci, Claudio, et al.
Publicado: (2023)