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This paper presents a deep machine learning architecture, the "polyharmonic cascade" -- a sequence of packages of polyharmonic splines, where each layer is rigorously derived from the theory of random functions and the principles of…

Machine Learning · Computer Science 2025-12-22 Yuriy N. Bakhvalov

Machine learning approaches have recently been leveraged as a substitute or an aid for physical/mathematical modeling approaches to dynamical systems. To develop an efficient machine learning method dedicated to modeling and prediction of…

Machine Learning · Computer Science 2022-08-01 Gouhei Tanaka , Tadayoshi Matsumori , Hiroaki Yoshida , Kazuyuki Aihara

Plasma systems exhibit complex multiscale dynamics, resolving which poses significant challenges for conventional numerical simulations. Machine learning (ML) offers an alternative by learning data-driven representations of these dynamics.…

Plasma Physics · Physics 2025-03-04 Farbod Faraji , Maryam Reza

In this paper, first we present a new explanation for the relation between logical circuits and artificial neural networks, logical circuits and fuzzy logic, and artificial neural networks and fuzzy inference systems. Then, based on these…

Neural and Evolutionary Computing · Computer Science 2016-11-15 Farnood Merrikh-Bayat , Farshad Merrikh-Bayat , Saeed Bagheri Shouraki

This research will present a hybrid approach to accelerate convergence in a second order optimization. An online finite difference approximation of the diagonal Hessian matrix will be introduced, along with fuzzy inferencing of several…

Machine Learning · Computer Science 2024-03-26 Abdelaziz Bensadok , Muhammad Zeeshan Babar

This work contributes to the development of neural forecasting models with novel randomization-based learning methods. These methods improve the fitting abilities of the neural model, in comparison to the standard method, by generating…

Machine Learning · Computer Science 2021-07-06 Grzegorz Dudek

Pooling operations, which can be calculated at low cost and serve as a linear or nonlinear transfer function for data reduction, are found in almost every modern neural network. Countless modern approaches have already tackled replacing the…

Computer Vision and Pattern Recognition · Computer Science 2021-01-19 Wolfgang Fuhl , Enkelejda Kasneci

In this paper, an online task scheduling and mapping method based on a fuzzy neural network (FNN) learned by an evolutionary multi-objective algorithm (NSGA-II) to jointly optimize the main design challenges of heterogeneous MPSoCs is…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-08 Athena Abdi , Armin Salimi-Badr

Capsule Networks (CapsNets) is a machine learning architecture proposed to overcome some of the shortcomings of convolutional neural networks (CNNs). However, CapsNets have mainly outperformed CNNs in datasets where images are small and/or…

Computer Vision and Pattern Recognition · Computer Science 2021-09-07 Juan P. Vigueras-Guillén , Arijit Patra , Ola Engkvist , Frank Seeliger

We propose a neural network model with transient chaos, or a transiently chaotic neural network (TCNN) as an approximation method for combinatorial optimization problem, by introducing transiently chaotic dynamics into neural networks.…

chao-dyn · Physics 2008-02-03 Luonan Chen , Kazuyuki Aihara

Coordinating a high number of flexibility providing units (e.g. to provide ancillary services for the transmission system) across various grid layers requires new control concepts. A flexibility request at a point of common coupling can be…

Systems and Control · Electrical Eng. & Systems 2025-05-12 Irina Zettl , Florian Klein-Helmkamp , Florian Schmidtke , Lukas Ortmann , Andreas Ulbig

Capsules are the multidimensional analogue to scalar neurons in neural networks, and because they are multidimensional, much more complex routing schemes can be used to pass information forward through the network than what can be used in…

Neural and Evolutionary Computing · Computer Science 2019-07-29 Michael Hauser

In recent years, the CNNs have achieved great successes in the image processing tasks, e.g., image recognition and object detection. Unfortunately, traditional CNN's classification is found to be easily misled by increasingly complex image…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-12 Xingyao Zhang , Shuaiwen Leon Song , Chenhao Xie , Jing Wang , Weigong Zhang , Xin Fu

In this article, we propose the approach to procedural optimization of a neural network, based on the combination of information theory and braid theory. The network studied in the article implemented with the intersections between the…

Neural and Evolutionary Computing · Computer Science 2021-04-21 Olga Lukyanova , Oleg Nikitin , Alex Kunin

We propose a neural physics system for real-time, interactive fluid simulations. Traditional physics-based methods, while accurate, are computationally intensive and suffer from latency issues. Recent machine-learning methods reduce…

Machine Learning · Computer Science 2025-05-27 Jingxuan Xu , Hong Huang , Chuhang Zou , Manolis Savva , Yunchao Wei , Wuyang Chen

Cascading multiple pre-trained models is an effective way to compose an end-to-end system. However, fine-tuning the full cascaded model is parameter and memory inefficient and our observations reveal that only applying adapter modules on…

Machine Learning · Computer Science 2023-10-30 Yingying Gao , Shilei Zhang , Zihao Cui , Chao Deng , Junlan Feng

We seek to improve deep neural networks by generalizing the pooling operations that play a central role in current architectures. We pursue a careful exploration of approaches to allow pooling to learn and to adapt to complex and variable…

Machine Learning · Statistics 2015-10-13 Chen-Yu Lee , Patrick W. Gallagher , Zhuowen Tu

Over the last couple of years, machine learning parameterizations have emerged as a potential way to improve the representation of sub-grid processes in Earth System Models (ESMs). So far, all studies were based on the same three-step…

Atmospheric and Oceanic Physics · Physics 2020-03-25 Stephan Rasp

Identifying university students' weaknesses results in better learning and can function as an early warning system to enable students to improve. However, the satisfaction level of existing systems is not promising. New and dynamic hybrid…

Neural and Evolutionary Computing · Computer Science 2019-03-29 Tarik A. Rashid , Dosti K. Abbas , Yalin K. Turel

The design of complexity-aware cascaded detectors, combining features of very different complexities, is considered. A new cascade design procedure is introduced, by formulating cascade learning as the Lagrangian optimization of a risk that…

Computer Vision and Pattern Recognition · Computer Science 2015-07-21 Zhaowei Cai , Mohammad Saberian , Nuno Vasconcelos