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Preprint Aug 2026

Uncertainty propagation in auto-regressive random neural network models

Analytical and particle-based methods for uncertainty propagation in random neural network models, where both the inputs and network parameters are allowed to be random, are developed and extended to autonomous dynamical systems whose one-step evolution map is represented by a random neural network.

J. Adams, Daniele Venturi · 0 citations
Review 2026

Probabilistic Neural Networks: An Overview.

This survey provides a curated list of open-source software libraries in Python, Scala, and Julia that implement PNNs, along with a selection of online tutorials and video lectures aimed at making this model accessible to a broader audience.

Srinjoy Dora, D. Chicco · 0 citations
Open access Nov 2024

Rapid Bayesian computation and estimation for neural networks via log-concave coupling

It is demonstrated that the posterior density can be written as a mixture density with suitably defined auxiliary random variables, where the mixture components are log-concave, and neuron parameters can be sampled from the posterior by only sampling log-concave densities.

Curtis McDonald, Andrew R. Barron · 1 citation
Review Open access Sep 2026

Sequential Inference With Gaussian Processes: A signal processing perspective

The proliferation of capable and efficient machine learning (ML) models marks one of the strongest methodological shifts in signal processing (SP) in its nearly 100-year history. ML models support the development of SP systems that represent complex, nonlinear relationships with high predictive accuracy. Adapting these...

Daniel Waxman, F. Llorente, Petar M. Djurić et al. · 0 citations
Preprint Aug 2026

Learning of deep neural network regression estimates using gradient descent with pruning

Estimation of a regression function from independent and identically distributed data is considered. The $L_2$ error with integration with respect to the design variable is used as the error criterion. An initially randomly pruned fully connected deep neural network with logistic squasher as activation function is fitt...

M. Kohler, V. M. Römer, Adam Krzyżak · 0 citations

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