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Large health surveys increasingly collect high-dimensional functional data from wearable devices, and function on scalar regression (FoSR) is often used to quantify the relationship between these functional outcomes and scalar covariates…

Methodology · Statistics 2025-11-10 Lily Koffman , Sunan Gao , Xinkai Zhou , Andrew Leroux , Ciprian Crainiceanu , John Muschelli

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

Fuzzy rule based systems (FRBSs) is a rule-based system which uses linguistic fuzzy variables as antecedents and consequent to represent human understandable knowledge. They have been applied to various applications and areas throughout the…

Artificial Intelligence · Computer Science 2023-05-30 Ayush K. Varshney , Vicenç Torra

This review presents the fundamentals of Flicker-Noise Spectroscopy (FNS), a general phenomenological methodology in which the dynamics and structure of complex systems, characterized by nonlinear interactions, dissipation, and inertia, are…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Serge F. Timashev , Yuriy S. Polyakov

Convolutional Neural Networks have dramatically improved in recent years, surpassing human accuracy on certain problems and performance exceeding that of traditional computer vision algorithms. While the compute pattern in itself is…

Computer Vision and Pattern Recognition · Computer Science 2018-07-10 Michaela Blott , Thomas B. Preusser , Nicholas Fraser , Giulio Gambardella , Kenneth OBrien , Yaman Umuroglu , Miriam Leeser

The fuzzy linear regression (FLR) modeling was first proposed making use of linear programming and then followed by many improvements in a variety of ways. In almost all approaches changing the meters, objective function, and restrictions…

Statistics Theory · Mathematics 2019-03-04 M. Kashani , M. Arashi , M. R. Rabiei

Large language models (LLMs) have exhibited remarkable capabilities across various domains. The ability to call external tools further expands their capability to handle real-world tasks. However, LLMs often follow an opaque reasoning…

Machine Learning · Computer Science 2025-11-20 Ruixin Zhang , Jon Donnelly , Zhicheng Guo , Ghazal Khalighinejad , Haiyang Huang , Alina Jade Barnett , Cynthia Rudin

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

Scaled Relative Graphs (SRGs) provide a novel graphical frequency-domain method for the analysis of nonlinear systems. There have been recent efforts to generalize SRG analysis to Multiple-Input Multiple-Output (MIMO) systems. However,…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Julius P. J. Krebbekx , Roland Tóth , Amritam Das

The growing complexity of machine learning (ML) models in big data analytics, especially in domains such as environmental monitoring, highlights the critical need for interpretability and explainability to promote trust, ethical…

Machine Learning · Computer Science 2025-10-08 Farjana Yesmin , Nusrat Shirmin

This paper introduces the Decomposed Requirements Following Ratio (DRFR), a new metric for evaluating Large Language Models' (LLMs) ability to follow instructions. Addressing a gap in current methodologies, DRFR breaks down complex…

Computation and Language · Computer Science 2024-01-09 Yiwei Qin , Kaiqiang Song , Yebowen Hu , Wenlin Yao , Sangwoo Cho , Xiaoyang Wang , Xuansheng Wu , Fei Liu , Pengfei Liu , Dong Yu

Considering the case where the response variable is a categorical variable and the predictor is a random function, two novel functional sufficient dimensional reduction (FSDR) methods are proposed based on mutual information and square loss…

Machine Learning · Statistics 2024-02-28 Xinyu Li , Jianjun Xu , Wenquan Cui , Haoyang Cheng

High-dimensional functional data are becoming increasingly common in fields such as environmental monitoring and neuroimaging. This paper studies high-dimensional functional linear regression models that relate a scalar response to…

Methodology · Statistics 2026-05-08 Xingche Guo , Yehua Li , Pang Du

In this paper, a Multiple Models Adaptive Fuzzy Logic Controller (MM-AFLC) with Neural Network Identification is designed to control the unmanned vehicle in Intelligent Autonomous Parking System. The objective is to achieve robust control…

Systems and Control · Electrical Eng. & Systems 2019-11-11 Yu Wang , Xiaoxi Zhu

If the main use of colour measurement is the metrology, it is now possible to find industrial control applications which uses this information. Using colour in process control leads to specific problems where human perception has to be…

Instrumentation and Detectors · Physics 2009-05-01 Eric Benoit , Laurent Foulloy

Fuzzy systems have achieved great success in numerous applications. However, there are still many challenges in designing an optimal fuzzy system, e.g., how to efficiently optimize its parameters, how to balance the trade-off between…

Machine Learning · Computer Science 2019-07-16 Dongrui Wu , Chin-Teng Lin , Jian Huang , Zhigang Zeng

Ensuring that classifiers are well-calibrated, i.e., their predictions align with observed frequencies, is a minimal and fundamental requirement for classifiers to be viewed as trustworthy. Existing methods for assessing multiclass…

Machine Learning · Computer Science 2025-10-30 Mahmoud Hegazy , Michael I. Jordan , Aymeric Dieuleveut

Random fuzzy variables join the modeling of the impreciseness (due to their ``fuzzy part'') and randomness. Statistical samples of such objects are widely used, and their direct, numerically effective generation is therefore necessary.…

Machine Learning · Statistics 2025-01-22 Maciej Romaniuk , Abbas Parchami , Przemysław Grzegorzewski

Nonuniform Fourier data are routinely collected in applications such as magnetic resonance imaging, synthetic aperture radar, and synthetic imaging in radio astronomy. To acquire a fast reconstruction that does not require an online inverse…

Numerical Analysis · Mathematics 2016-10-05 Anne Gelb , Guohui Song

In this work, we propose a balanced multi-component and multi-layer neural network (MMNN) structure to accurately and efficiently approximate functions with complex features, in terms of both degrees of freedom and computational cost. The…

Machine Learning · Computer Science 2025-07-17 Shijun Zhang , Hongkai Zhao , Yimin Zhong , Haomin Zhou