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Review Open access Sep 2026

An Introduction to Stochastic Deep Learning

Deep neural networks (DNNs) have achieved remarkable success in prediction, but their deterministic formulation makes many statistical inference tasks difficult. StoNet, short for stochastic neural network, addresses this limitation by reformulating a DNN as a probabilistic latent‐variable model, in which the outputs o...

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...

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

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

Generative models have found great success as data-driven methods of solving inverse problems. Two popular approaches work either by combining a pretrained generative prior with a known degradation model, or by training a conditional generative model directly from paired data. We target a setting that spans both regime...

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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