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Review Open access Sep 2026

An Introduction to Stochastic Deep Learning

Stochastic neural network broadens deep learning from prediction‐oriented function approximation to a richer framework for statistical inference, and two related architectures are discussed: kernel‐expanded StoNet and sublinearly structured DNNs, which can be viewed as structural or theoretical extensions of the StoNet...

Fa-Ming Liang · 0 citations
#machine learning Preprint Aug 2026

Learning the Geometry of Admissible Hypotheses through Inductive Bias in Training Distributions

This work presents a framework for learning continuous latent representations of admissible partial differential equations by embedding a scientific inductive bias directly into the training distribution, and shows that embedding a scientific inductive bias in the training distribution enables the learning of compact a...

James Crowley, Faez Ahmed, A. van Beek · 0 citations
#machine learning Preprint Sep 2026

Livin'on a Prior: Likelihood Score Approximation for Inverse Problems

Likelihood Score Approximation (LSA), a generative framework that keeps a pretrained unconditional model fixed and learns an observation-conditioned model that approximates the likelihood score from paired samples, is introduced.

Rostislav Makarov, Tal Peer, Danilo de Oliveira et al. · 0 citations
#machine learning Preprint Sep 2026

Variational Mixtures and Multi-Marginal Flow Matching: Advancing Statistical Inference with Biological Applications

In this thesis I develop methods for statistical inference when the distributions arising from complex biological systems are multi-modal, geometrically structured, and sometimes only defined up to a normalizing constant. I start from variational inference and, when analytic update equations are unavailable, move to bl...

Oskar Kviman · 0 citations
#machine learning Preprint Aug 2026

Neural Regression with Embeddings for Numerical Attribute Prediction in Knowledge Graphs

A neural regression model (LitEm) that enables transductive knowledge graph embedding models to predict numerical attributes within knowledge graphs and a co-training framework that jointly trains state-of-the-art transductive knowledge graph embedding models with LitEm, which improves link prediction performance mainl...

Rupesh Sapkota, Louis Mozart Kamdem Teyou, Moshood Yekini et al. · 0 citations
#artificial intelligence Preprint Sep 2026

A Study of Hidden-State Optimization Order in Predictive Coding Networks

A boundary-first inference schedule that partitions a model into chunks, first coordinates hidden states at chunk boundaries, and then refines representations within each chunk is proposed, which instantiate in predictive coding networks (PCNs), a local-learning framework in which hidden activities and prediction error...

Xue-Yuan Li, Danilo Vasconcellos Vargas · 0 citations

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