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We generalise Spatial Transformer Networks (STN) by replacing the parametric transformation of a fixed, regular sampling grid with a deformable, statistical shape model which is itself learnt. We call this a Statistical Transformer Network…

Computer Vision and Pattern Recognition · Computer Science 2018-04-20 Anil Bas , William A. P. Smith

Deep generative models (DGM) are neural networks with many hidden layers trained to approximate complicated, high-dimensional probability distributions using a large number of samples. When trained successfully, we can use the DGMs to…

Machine Learning · Computer Science 2021-04-13 Lars Ruthotto , Eldad Haber

Chaotic dynamical systems exhibit strong sensitivity to initial conditions and often contain unresolved multiscale processes, making deterministic forecasting fundamentally limited. Generative models offer an appealing alternative by…

Machine Learning · Computer Science 2026-01-01 Patrick Wyrod , Ashesh Chattopadhyay , Daniele Venturi

Stochastic graph neural networks (SGNNs) are information processing architectures that learn representations from data over random graphs. SGNNs are trained with respect to the expected performance, which comes with no guarantee about…

Signal Processing · Electrical Eng. & Systems 2023-03-22 Zhan Gao , Elvin Isufi

Partial Bayesian neural networks (pBNNs) have been shown to perform competitively with fully Bayesian neural networks while only having a subset of the parameters be stochastic. Using sequential Monte Carlo (SMC) samplers as the inference…

Machine Learning · Computer Science 2026-01-30 Andrew Millard , Joshua Murphy , Simon Maskell , Zheng Zhao

Spiking Neural Networks (SNNs) capture some of the efficiency of biological brains for inference and learning via the dynamic, online, event-driven processing of binary time series. Most existing learning algorithms for SNNs are based on…

Machine Learning · Computer Science 2021-01-06 Hyeryung Jang , Osvaldo Simeone

Neural Processes (NPs; Garnelo et al., 2018a,b) are a rich class of models for meta-learning that map data sets directly to predictive stochastic processes. We provide a rigorous analysis of the standard maximum-likelihood objective used to…

Machine Learning · Statistics 2021-01-12 Wessel P. Bruinsma , James Requeima , Andrew Y. K. Foong , Jonathan Gordon , Richard E. Turner

Bayesian Likelihood-Free Inference methods yield posterior approximations for simulator models with intractable likelihood. Recently, many works trained neural networks to approximate either the intractable likelihood or the posterior…

Computation · Statistics 2022-06-01 Lorenzo Pacchiardi , Ritabrata Dutta

The graph neural network (GNN) has demonstrated its superior performance in various applications. The working mechanism behind it, however, remains mysterious. GNN models are designed to learn effective representations for graph-structured…

Machine Learning · Computer Science 2022-06-10 Zepeng Zhang , Ziping Zhao

We propose stochastic, non-parametric activation functions that are fully learnable and individual to each neuron. Complexity and the risk of overfitting are controlled by placing a Gaussian process prior over these functions. The result is…

Machine Learning · Statistics 2017-12-01 Sebastian Urban , Marcus Basalla , Patrick van der Smagt

We introduce a new approach to functional causal modeling from observational data, called Causal Generative Neural Networks (CGNN). CGNN leverages the power of neural networks to learn a generative model of the joint distribution of the…

We propose Scalable Message Passing Neural Networks (SMPNNs) and demonstrate that, by integrating standard convolutional message passing into a Pre-Layer Normalization Transformer-style block instead of attention, we can produce…

Machine Learning · Computer Science 2026-03-11 Haitz Sáez de Ocáriz Borde , Artem Lukoianov , Anastasis Kratsios , Michael Bronstein , Xiaowen Dong

This letter proposes a graph neural network (GNN)-based framework for statistical precoder design that leverages model-based insights to compactly represent statistical knowledge, resulting in efficient, lightweight architectures. The…

Information Theory · Computer Science 2024-12-11 Nurettin Turan , Srikar Allaparapu , Donia Ben Amor , Benedikt Böck , Michael Joham , Wolfgang Utschick

Sum-product networks (SPNs) are probabilistic models characterized by exact and fast evaluation of fundamental probabilistic operations. Its superior computational tractability has led to applications in many fields, such as machine…

Machine Learning · Statistics 2024-06-19 Soma Yokoi , Issei Sato

A neural network (NN) is a parameterised function that can be tuned via gradient descent to approximate a labelled collection of data with high precision. A Gaussian process (GP), on the other hand, is a probabilistic model that defines a…

Machine Learning · Computer Science 2018-07-05 Marta Garnelo , Jonathan Schwarz , Dan Rosenbaum , Fabio Viola , Danilo J. Rezende , S. M. Ali Eslami , Yee Whye Teh

Leveraging advances in variational inference, we propose to enhance recurrent neural networks with latent variables, resulting in Stochastic Recurrent Networks (STORNs). The model i) can be trained with stochastic gradient methods, ii)…

Machine Learning · Statistics 2015-03-09 Justin Bayer , Christian Osendorfer

Graph Neural Networks (GNNs) are a new and increasingly popular family of deep neural network architectures to perform learning on graphs. Training them efficiently is challenging due to the irregular nature of graph data. The problem…

Machine Learning · Computer Science 2021-06-15 Marco Serafini , Hui Guan

Tensor networks have recently found applications in machine learning for both supervised learning and unsupervised learning. The most common approaches for training these models are gradient descent methods. In this work, we consider an…

Machine Learning · Computer Science 2023-06-27 Sheng-Hsuan Lin , Olivier Kuijpers , Sebastian Peterhansl , Frank Pollmann

While Markov chain Monte Carlo methods (MCMC) provide a general framework to sample from a probability distribution defined up to normalization, they often suffer from slow convergence to the target distribution when the latter is highly…

Machine Learning · Computer Science 2023-07-06 Tristan Deleu , Yoshua Bengio

Generative state estimators based on probabilistic filters and smoothers are one of the most popular classes of state estimators for robots and autonomous vehicles. However, generative models have limited capacity to handle rich sensory…

Machine Learning · Computer Science 2017-10-03 Tuomas Haarnoja , Anurag Ajay , Sergey Levine , Pieter Abbeel
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