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We present a novel deep learning approach to approximate the solution of large, sparse, symmetric, positive-definite linear systems of equations. These systems arise from many problems in applied science, e.g., in numerical methods for…

Machine Learning · Computer Science 2022-10-04 Ayano Kaneda , Osman Akar , Jingyu Chen , Victoria Kala , David Hyde , Joseph Teran

In this paper, a novel stepwise learning approach based on estimating desired premise parts' outputs by solving a constrained optimization problem is proposed. This learning approach does not require backpropagating the output error to…

Machine Learning · Computer Science 2021-11-23 Armin Salimi-Badr , Mohammad Mehdi Ebadzadeh

In tis paper we consider approaches for time series forecasting based on deep neural networks and neuro-fuzzy nets. Also, we make short review of researches in forecasting based on various models of ANFIS models. Deep Learning has proven to…

Neural and Evolutionary Computing · Computer Science 2020-11-12 Alexey Averkin , Sergey Yarushev

Fuzzy modeling has many advantages over the non-fuzzy methods, such as robustness against uncertainties and less sensitivity to the varying dynamics of nonlinear systems. Data-driven fuzzy modeling needs to extract fuzzy rules from the…

Systems and Control · Computer Science 2018-06-08 Erick de la Rosa , Wen Yu

Many state-of-the-art technologies developed in recent years have been influenced by machine learning to some extent. Most popular at the time of this writing are artificial intelligence methodologies that fall under the umbrella of deep…

Computer Vision and Pattern Recognition · Computer Science 2020-03-03 Stanton R. Price , Steven R. Price , Derek T. Anderson

An architecture of a new neuro-fuzzy system is proposed. The basic idea of this approach is to tune both synaptic weights and membership functions with the help of the supervised learning and self-learning paradigms. The approach to solving…

Artificial Intelligence · Computer Science 2016-10-21 Yevgeniy V. Bodyanskiy , Oleksii K. Tyshchenko , Anastasiia O. Deineko

Nonlinear differential equations are challenging to solve numerically and are important to understanding the dynamics of many physical systems. Deep neural networks have been applied to help alleviate the computational cost that is…

Numerical Analysis · Mathematics 2020-10-27 Bryce Chudomelka , Youngjoon Hong , Hyunwoo Kim , Jinyoung Park

Representation learning has emerged as a crucial focus in machine and deep learning, involving the extraction of meaningful and useful features and patterns from the input data, thereby enhancing the performance of various downstream tasks…

Machine Learning · Computer Science 2025-03-19 Wei Zhang , Zhaohong Deng , Guanjin Wang , Kup-Sze Choi

Aiming at the group decision - making problem with multi - objective attributes, this study proposes a group decision - making system that integrates fuzzy inference and Bayesian network. A fuzzy rule base is constructed by combining…

Artificial Intelligence · Computer Science 2025-05-01 Shui-jin Rong , Wei Guo , Da-qing Zhang

Partial differential equations have a wide range of applications in modeling multiple physical, biological, or social phenomena. Therefore, we need to approximate the solutions of these equations in computationally feasible terms. Nowadays,…

Numerical Analysis · Mathematics 2024-11-14 Carlos Uriarte

As recommender systems become increasingly complex, transparency is essential to increase user trust, accountability, and regulatory compliance. Neuro-symbolic approaches that integrate symbolic reasoning with sub-symbolic learning offer a…

Machine Learning · Computer Science 2025-05-12 Stephan Bartl , Kevin Innerebner , Elisabeth Lex

Several adaptation techniques have been investigated to optimize fuzzy inference systems. Neural network learning algorithms have been used to determine the parameters of fuzzy inference system. Such models are often called as integrated…

Artificial Intelligence · Computer Science 2016-11-15 Ajith Abraham

The methods of extracting image features are the key to many image processing tasks. At present, the most popular method is the deep neural network which can automatically extract robust features through end-to-end training instead of…

Computer Vision and Pattern Recognition · Computer Science 2023-03-20 Xiang Ma , Liangzhe Chen , Zhaohong Deng , Peng Xu , Qisheng Yan , Kup-Sze Choi , Shitong Wang

The need to update the calibration of Function Point (FP) complexity weights is discussed, whose aims are to fit specific software application, to reflect software industry trend, and to improve cost estimation. Neuro-Fuzzy is a technique…

Software Engineering · Computer Science 2015-07-27 Wei Xia , Danny Ho , Luiz Fernando Capretz

In order to achieve faster and more robust convergence (especially under noisy working environments), a sliding mode theory-based learning algorithm has been proposed to tune both the premise and consequent parts of type-2 fuzzy neural…

Systems and Control · Electrical Eng. & Systems 2021-04-06 Erkan Kayacan , Erdal Kayacan , Mojtaba Ahmadieh Khanesar

The combination of neural network and fuzzy systems into neuro-fuzzy systems integrates fuzzy reasoning rules into the connectionist networks. However, the existing neuro-fuzzy systems are developed under shallow structures having lower…

Neural and Evolutionary Computing · Computer Science 2020-01-07 Omolbanin Yazdanbakhsh , Scott Dick

In regression problems, the use of TSK fuzzy systems is widely extended due to the precision of the obtained models. Moreover, the use of simple linear TSK models is a good choice in many real problems due to the easy understanding of the…

Machine Learning · Computer Science 2015-07-20 I. Rodríguez-Fdez , M. Mucientes , A. Bugarín

The concepts of calibrating Function Points are discussed, whose aims are to fit specific software application, to reflect software industry trend, and to improve cost estimation. Neuro-Fuzzy is a technique which incorporates the learning…

Software Engineering · Computer Science 2015-08-04 Wei Xia , Danny Ho , Luiz Fernando Capretz

In this paper, we present a novel framework to solve differential equations based on multilayer feedforward network. Previous works indicate that solvers based on neural network have low accuracy due to that the boundary conditions are not…

Numerical Analysis · Mathematics 2019-04-16 Zeyu Liu , Yantao Yang , Qing-Dong Cai

Fuzzy Neural Networks (FNNs) are effective machine learning models for classification tasks, commonly based on the Takagi-Sugeno-Kang (TSK) fuzzy system. However, when faced with high-dimensional data, especially with noise, FNNs encounter…

Machine Learning · Computer Science 2024-10-18 Yingtao Ren , Yu-Cheng Chang , Thomas Do , Zehong Cao , Chin-Teng Lin
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