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Currently, it is hard to reap the benefits of deep learning for Bayesian methods, which allow the explicit specification of prior knowledge and accurately capture model uncertainty. We present Prior-Data Fitted Networks (PFNs). PFNs…

Machine Learning · Computer Science 2024-08-14 Samuel Müller , Noah Hollmann , Sebastian Pineda Arango , Josif Grabocka , Frank Hutter

Artificial neural networks (ANNs) have become a very powerful tool in the approximation of high-dimensional functions. Especially, deep ANNs, consisting of a large number of hidden layers, have been very successfully used in a series of…

Numerical Analysis · Mathematics 2021-03-09 Philipp Grohs , Shokhrukh Ibragimov , Arnulf Jentzen , Sarah Koppensteiner

Training and inference in Gaussian processes (GPs) require solving linear systems with $n\times n$ kernel matrices. To address the prohibitive $\mathcal{O}(n^3)$ time complexity, recent work has employed fast iterative methods, like…

Machine Learning · Computer Science 2024-03-12 Kaiwen Wu , Jonathan Wenger , Haydn Jones , Geoff Pleiss , Jacob R. Gardner

Adaptive learning is necessary for non-stationary environments where the learning machine needs to forget past data distribution. Efficient algorithms require a compact model update to not grow in computational burden with the incoming data…

Machine Learning · Computer Science 2023-07-11 Vanessa Gómez-Verdejo , Emilio Parrado-Hernández , Manel Martínez-Ramón

In this work, we propose a graph-adaptive pruning (GAP) method for efficient inference of convolutional neural networks (CNNs). In this method, the network is viewed as a computational graph, in which the vertices denote the computation…

Computer Vision and Pattern Recognition · Computer Science 2018-11-22 Mengdi Wang , Qing Zhang , Jun Yang , Xiaoyuan Cui , Wei Lin

Currently, most speaker recognition backends, such as cosine, linear discriminant analysis (LDA), or probabilistic linear discriminant analysis (PLDA), make decisions by calculating similarity or distance between enrollment and test…

Audio and Speech Processing · Electrical Eng. & Systems 2023-08-21 Liang He , Ruida Li , Mengqi Niu

In the analysis of complex physical systems, the objective often extends beyond merely computing a numerical solution to capturing the precise crossover between different regimes and extracting parameters containing meaningful information.…

Machine Learning · Computer Science 2026-01-26 Doyoung Kim , Donghee Lee , Hye-Sung Lee , Jiheon Lee , Jaeok Yi

Gaussian processes (GPs) provide a probabilistic nonparametric representation of functions in regression, classification, and other problems. Unfortunately, exact learning with GPs is intractable for large datasets. A variety of approximate…

Machine Learning · Computer Science 2012-03-19 Yuan , Qi , Ahmed H. Abdel-Gawad , Thomas P. Minka

The overparameterization of variational quantum circuits, as a model of Quantum Neural Networks (QNN), not only improves their trainability but also serves as a method for evaluating the property of a given ansatz by investigating their…

Quantum Physics · Physics 2023-05-23 Ali Rad

Gaussian Processes (GPs) are a generic modelling tool for supervised learning. While they have been successfully applied on large datasets, their use in safety-critical applications is hindered by the lack of good performance guarantees. To…

Machine Learning · Statistics 2019-08-27 David Reeb , Andreas Doerr , Sebastian Gerwinn , Barbara Rakitsch

Self-explainable deep neural networks are a recent class of models that can output ante-hoc local explanations that are faithful to the model's reasoning, and as such represent a step forward toward filling the gap between expressiveness…

Machine Learning · Computer Science 2023-08-30 Marc Christiansen , Lea Villadsen , Zhiqiang Zhong , Stefano Teso , Davide Mottin

Neural network training is inherently sequential where the layers finish the forward propagation in succession, followed by the calculation and back-propagation of gradients (based on a loss function) starting from the last layer. The…

Machine Learning · Computer Science 2023-12-01 Vahid Janfaza , Shantanu Mandal , Farabi Mahmud , Abdullah Muzahid

Graph Neural Networks (GNNs) are a form of deep learning that enable a wide range of machine learning applications on graph-structured data. The learning of GNNs, however, is known to pose challenges for memory-constrained devices such as…

Machine Learning · Computer Science 2023-05-01 Jeroen Bollen , Jasper Steegmans , Jan Van den Bussche , Stijn Vansummeren

Deep Gaussian processes (DGP) have appealing Bayesian properties, can handle variable-sized data, and learn deep features. Their limitation is that they do not scale well with the size of the data. Existing approaches address this using a…

Machine Learning · Computer Science 2019-05-20 Issam H. Laradji , Mark Schmidt , Vladimir Pavlovic , Minyoung Kim

With the increasing use of Graph Neural Networks (GNNs) in critical real-world applications, several post hoc explanation methods have been proposed to understand their predictions. However, there has been no work in generating explanations…

Machine Learning · Computer Science 2022-12-02 Valentina Giunchiglia , Chirag Varun Shukla , Guadalupe Gonzalez , Chirag Agarwal

Inference in Gaussian process (GP) models is computationally challenging for large data, and often difficult to approximate with a small number of inducing points. We explore an alternative approximation that employs stochastic inference…

Machine Learning · Statistics 2019-05-28 Jiaxin Shi , Mohammad Emtiyaz Khan , Jun Zhu

Deep feedforward neural networks (DFNNs) are a powerful tool for functional approximation. We describe flexible versions of generalized linear and generalized linear mixed models incorporating basis functions formed by a DFNN. The…

Computation · Statistics 2018-05-28 Minh-Ngoc Tran , Nghia Nguyen , David Nott , Robert Kohn

Deep Gaussian processes (DGPs) are popular surrogate models for complex nonstationary computer experiments. DGPs use one or more latent Gaussian processes (GPs) to warp the input space into a plausibly stationary regime, then use typical GP…

Methodology · Statistics 2025-12-23 Annie S. Booth

Learning to generate neural network parameters conditioned on task descriptions and architecture specifications is pivotal for advancing model adaptability and transfer learning. Existing methods especially those based on diffusion models…

Machine Learning · Computer Science 2025-04-04 Soro Bedionita , Bruno Andreis , Song Chong , Sung Ju Hwang

The Gaussian process (GP) is a widely used probabilistic machine learning method with implicit uncertainty characterization for stochastic function approximation, stochastic modeling, and analyzing real-world measurements of nonlinear…

Machine Learning · Statistics 2026-04-14 Mark D. Risser , Marcus M. Noack , Hengrui Luo , Ronald Pandolfi
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