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In this paper, we introduce a probabilistic extension to Kolmogorov Arnold Networks (KANs) by incorporating Gaussian Process (GP) as non-linear neurons, which we refer to as GP-KAN. A fully analytical approach to handling the output…

Machine Learning · Computer Science 2024-08-20 Andrew Siyuan Chen

Deep neural networks have revolutionized many fields, but their black-box nature also occasionally prevents their wider adoption in fields such as healthcare and finance, where interpretable and explainable models are required. The recent…

Machine Learning · Computer Science 2024-03-20 Wei Zhang , Brian Barr , John Paisley

The hyper-parameters of a neural network are traditionally designed through a time consuming process of trial and error that requires substantial expert knowledge. Neural Architecture Search (NAS) algorithms aim to take the human out of the…

Neural and Evolutionary Computing · Computer Science 2021-06-01 Andrew Nader , Danielle Azar

This paper proposes a novel meta-learning based hyper-parameter optimization framework for wireless network traffic prediction (NTP) models. The primary objective is to accumulate and leverage the acquired hyper-parameter optimization…

Networking and Internet Architecture · Computer Science 2025-05-06 Liangzhi Wang , Jie Zhang , Yuan Gao , Jiliang Zhang , Guiyi Wei , Haibo Zhou , Bin Zhuge , Zitian Zhang

The wide adoption of Convolutional Neural Networks (CNNs) in applications where decision-making under uncertainty is fundamental, has brought a great deal of attention to the ability of these models to accurately quantify the uncertainty in…

Machine Learning · Statistics 2018-05-29 Gia-Lac Tran , Edwin V. Bonilla , John P. Cunningham , Pietro Michiardi , Maurizio Filippone

In many areas of science and engineering, discovering the governing differential equations from the noisy experimental data is an essential challenge. It is also a critical step in understanding the physical phenomena and prediction of the…

Methodology · Statistics 2026-05-12 Jiuhai Chen , Lulu Kang , Guang Lin

Inverse problems are encountered in many domains of physics, with analytic continuation of the imaginary Green's function into the real frequency domain being a particularly important example. However, the analytic continuation problem is…

Computational Physics · Physics 2020-02-07 Romain Fournier , Lei Wang , Oleg V. Yazyev , QuanSheng Wu

Gaussian Process (GPs) models are a rich distribution over functions with inductive biases controlled by a kernel function. Learning occurs through the optimisation of kernel hyperparameters using the marginal likelihood as the objective.…

Machine Learning · Statistics 2021-11-22 Fergus Simpson , Vidhi Lalchand , Carl Edward Rasmussen

Neural Machine Translation (NMT) models tend to achieve best performance when larger sets of parallel sentences are provided for training. For this reason, augmenting the training set with artificially-generated sentence pairs can boost…

Computation and Language · Computer Science 2019-09-27 Alberto Poncelas , Andy Way

Neural Processes (NPs) are a family of conditional generative models that are able to model a distribution over functions, in a way that allows them to perform predictions at test time conditioned on a number of context points. A recent…

Machine Learning · Computer Science 2021-06-14 Jens Petersen , Gregor Köhler , David Zimmerer , Fabian Isensee , Paul F. Jäger , Klaus H. Maier-Hein

We present a novel deep learning-based algorithm to accelerate - through the use of Artificial Neural Networks (ANNs) - the convergence of Algebraic Multigrid (AMG) methods for the iterative solution of the linear systems of equations…

Numerical Analysis · Mathematics 2025-06-18 Paola F. Antonietti , Matteo Caldana , Luca Dede'

Machine-designed control of complex devices or experiments can discover strategies superior to those developed via simplified models. We describe an online optimization algorithm based on Gaussian processes and apply it to optimization of…

Parameter-efficient tuning (PET) methods fit pre-trained language models (PLMs) to downstream tasks by either computing a small compressed update for a subset of model parameters, or appending and fine-tuning a small number of new model…

Computation and Language · Computer Science 2023-05-29 Neal Lawton , Anoop Kumar , Govind Thattai , Aram Galstyan , Greg Ver Steeg

Gaussian process regression is a machine learning approach which has been shown its power for estimation of unknown functions. However, Gaussian processes suffer from high computational complexity, as in a basic form they scale cubically…

Machine Learning · Statistics 2018-09-10 Danil Kuzin , Le Yang , Olga Isupova , Lyudmila Mihaylova

We propose a genetic algorithm (GA) for hyperparameter optimization of artificial neural networks which includes chromosomal crossover as well as a decoupling of parameters (i.e., weights and biases) from hyperparameters (e.g., learning…

Neural and Evolutionary Computing · Computer Science 2019-01-15 Aaron Vose , Jacob Balma , Alex Heye , Alessandro Rigazzi , Charles Siegel , Diana Moise , Benjamin Robbins , Rangan Sukumar

A common theoretical approach to understanding neural networks is to take an infinite-width limit, at which point the outputs become Gaussian process (GP) distributed. This is known as a neural network Gaussian process (NNGP). However, the…

Machine Learning · Statistics 2025-06-26 Ben Anson , Edward Milsom , Laurence Aitchison

Quality classification of wood boards is an essential task in the sawmill industry, which is still usually performed by human operators in small to median companies in developing countries. Machine learning algorithms have been successfully…

Machine Learning · Computer Science 2023-10-23 Mateus Roder , Leandro Aparecido Passos , João Paulo Papa , André Luis Debiaso Rossi

High-order Gaussian beams with multiple propagation modes have been studied for free-space optical communications. Fast classification of beams using a diffractive deep neural network, D2NN, has been proposed. D2NN optimization is important…

Neural architecture search (NAS) automatically finds the best task-specific neural network topology, outperforming many manual architecture designs. However, it can be prohibitively expensive as the search requires training thousands of…

Machine Learning · Computer Science 2020-12-21 Chris Zhang , Mengye Ren , Raquel Urtasun

This paper presents the beginnings of an automatic statistician, focusing on regression problems. Our system explores an open-ended space of statistical models to discover a good explanation of a data set, and then produces a detailed…

Machine Learning · Statistics 2014-04-25 James Robert Lloyd , David Duvenaud , Roger Grosse , Joshua B. Tenenbaum , Zoubin Ghahramani