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We introduce a new numerical method based on machine learning to approximate the solution of elliptic partial differential equations with collocation using a set of sigmoidal functions. We show that a feedforward neural network with a…

Numerical Analysis · Mathematics 2023-03-24 Francesco Calabrò , Gianluca Fabiani , Constantinos Siettos

A critical factor in adopting machine learning for time-sensitive financial tasks is computational speed, including model training and inference. This paper demonstrates that a broad class of such problems, especially those previously…

Computational Finance · Quantitative Finance 2025-05-27 Liexin Cheng , Xue Cheng , Shuaiqiang Liu

We present an alternative to the pseudo-inverse method for determining the hidden to output weight values for Extreme Learning Machines performing classification tasks. The method is based on linear discriminant analysis and provides Bayes…

Neural and Evolutionary Computing · Computer Science 2014-06-13 Philip de Chazal , Jonathan Tapson , André van Schaik

This work concerns receiver design for light emitting diode (LED) communications where the LED nonlinearity can severely degrade the performance of communications. We propose extreme learning machine (ELM) based non-iterative receivers and…

Signal Processing · Electrical Eng. & Systems 2020-12-30 Dawei Gao , Qinghua Guo , Jun Tong , Nan Wu , Jiangtao Xi , Yanguang Yu

The Extreme Learning Machine (ELM) technique is a machine learning approach for constructing feed-forward neural networks with a single hidden layer and their models. The ELM model can be constructed while being trained by concurrently…

Optimization and Control · Mathematics 2024-01-30 Muideen Adegoke , Lateef O. Jolaoso , Mardiyyah Oduwole

Extreme learning machine (ELM) is a new single hidden layer feedback neural network. The weights of the input layer and the biases of neurons in hidden layer are randomly generated, the weights of the output layer can be analytically…

Machine Learning · Computer Science 2018-03-13 Lin Feng , Shuliang Xu , Feilong Wang , Shenglan Liu

In this article, we improve extreme learning machines for regression tasks using a graph signal processing based regularization. We assume that the target signal for prediction or regression is a graph signal. With this assumption, we use…

Machine Learning · Statistics 2018-03-14 Arun Venkitaraman , Saikat Chatterjee , Peter Händel

We utilize extreme-learning machines for the prediction of partial differential equations (PDEs). Our method splits the state space into multiple windows that are predicted individually using a single model. Despite requiring only few data…

Machine Learning · Computer Science 2024-08-20 Hans Harder , Jean Rabault , Ricardo Vinuesa , Mikael Mortensen , Sebastian Peitz

The Extreme Learning Machine (ELM) is a growing statistical technique widely applied to regression problems. In essence, ELMs are single-layer neural networks where the hidden layer weights are randomly sampled from a specific distribution,…

Machine Learning · Statistics 2025-07-31 Daniela De Canditiis , Fabiano Veglianti

The paper proposes a new variant of a decision tree, called an Extreme Learning Tree. It consists of an extremely random tree with non-linear data transformation, and a linear observer that provides predictions based on the leaf index where…

Machine Learning · Computer Science 2019-12-20 Anton Akusok , Emil Eirola , Kaj-Mikael Björk , Amaury Lendasse

In the covariate shift learning scenario, the training and test covariate distributions differ, so that a predictor's average loss over the training and test distributions also differ. In this work, we explore the potential of extreme…

Machine Learning · Computer Science 2018-03-13 Fulton Wang , Cynthia Rudin

This paper explores the potential of extreme learning machine based supervised classification algorithm for land cover classification. In comparison to a backpropagation neural network, which requires setting of several user-defined…

Neural and Evolutionary Computing · Computer Science 2019-07-02 Mahesh Pal

Extreme learning machine (ELM), proposed by Huang et al., has been shown a promising learning algorithm for single-hidden layer feedforward neural networks (SLFNs). Nevertheless, because of the random choice of input weights and biases, the…

Neural and Evolutionary Computing · Computer Science 2014-09-16 Yuguang Wang , Feilong Cao , Yubo Yuan

Usually considered as a classification problem, entity resolution (ER) can be very challenging on real data due to the prevalence of dirty values. The state-of-the-art solutions for ER were built on a variety of learning models (most…

Databases · Computer Science 2019-06-17 Boyi Hou , Qun Chen , Yanyan Wang , Youcef Nafa , Zhanhuai Li

Dynamic environments require adaptive applications. One particular machine learning problem in dynamic environments is open world recognition. It characterizes a continuously changing domain where only some classes are seen in one batch of…

Machine Learning · Computer Science 2022-05-31 Tobias Koch , Felix Liebezeit , Christian Riess , Vincent Christlein , Thomas Köhler

The Extreme Learning Machine (ELM) is a single-hidden layer feedforward neural network (SLFN) learning algorithm that can learn effectively and quickly. The ELM training phase assigns the input weights and bias randomly and does not change…

Neural and Evolutionary Computing · Computer Science 2017-08-18 Andre Pacheco , Renato Krohling , Carlos da Silva

We propose a simplified, biologically inspired predictive local learning rule that eliminates the need for global backpropagation in conventional neural networks and membrane integration in event-based training. Weight updates are triggered…

Hardware Architecture · Computer Science 2025-12-29 Zhenya Zang , Xingda Li , David Day Uei Li

This work proposes a solution for the problem of training physics-informed networks under partial integro-differential equations. These equations require an infinite or a large number of neural evaluations to construct a single residual for…

Machine Learning · Computer Science 2024-06-12 Ehsan Saleh , Saba Ghaffari , Timothy Bretl , Luke Olson , Matthew West

Supervised learning by extreme learning machines resp. neural networks with random weights is studied under a non-stationary spatial-temporal sampling design which especially addresses settings where an autonomous object moving in a…

Machine Learning · Statistics 2021-09-02 Ansgar Steland

There has been rapid progress recently on the application of deep networks to the solution of partial differential equations, collectively labelled as Physics Informed Neural Networks (PINNs). In this paper, we develop Physics Informed…

Machine Learning · Computer Science 2019-07-09 Vikas Dwivedi , Balaji Srinivasan
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