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Related papers: Fuzzy Rule Interpolation Methods and Fri Toolbox

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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

The Numerical Recipes series of books are a useful resource, but all the algorithms they contain cannot be used within open-source projects. In this paper we develop drop-in alternatives to the two algorithms they present for cubic spline…

Mathematical Software · Computer Science 2020-01-28 Haysn Hornbeck

This paper presents an innovative set of tools to support a methodology for the multichannel interpolation (MCI) of a discrete signal. It is shown that a bandlimited signal $f$ can be exactly reconstructed from finite samples of $g_k$…

Information Theory · Computer Science 2019-04-12 Dong Cheng , Kit Ian Kou

According to V.P.Potapov, a classical interpolation problem can be reformulated in terms of a so-called Fundamental Matrix Inequality (FMI). To show that every solution of the FMI satisfies the interpolation problem, we usualy have to…

Classical Analysis and ODEs · Mathematics 2007-06-14 Victor Katsnelson

Video Frame Interpolation (VFI) is a crucial technique in various applications such as slow-motion generation, frame rate conversion, video frame restoration etc. This paper introduces an efficient video frame interpolation framework that…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 Tong Shen , Dong Li , Ziheng Gao , Lu Tian , Emad Barsoum

We give a new probabilistic algorithm for interpolating a "sparse" polynomial f given by a straight-line program. Our algorithm constructs an approximation f* of f, such that their difference probably has at most half the number of terms of…

Symbolic Computation · Computer Science 2014-01-24 Andrew Arnold , Mark Giesbrecht , Daniel S. Roche

We present the main improvements and new features in version $\texttt{2.0}$ of the open-source $\texttt{C++}$ library $\texttt{FireFly}$ for the interpolation of rational functions. This includes algorithmic improvements, e.g. a hybrid…

Mathematical Software · Computer Science 2021-05-05 Jonas Klappert , Sven Yannick Klein , Fabian Lange

Most of the research related to Non Functional Requirements (NFRs) have presented NFRs frameworks by integrating non functional requirements with functional requirements while we proposed that measurement of NFRs is possible e.g. cost and…

Software Engineering · Computer Science 2009-07-01 Nasir Mahmood Malik , Arif Mushtaq , Samina Khalid , Tehmina Khalil , Faisal Munir Malik

Video frame interpolation, which aims to synthesize non-exist intermediate frames in a video sequence, is an important research topic in computer vision. Existing video frame interpolation methods have achieved remarkable results under…

Computer Vision and Pattern Recognition · Computer Science 2021-12-03 Youjian Zhang , Chaoyue Wang , Dacheng Tao

Generating intermediate video content of varying lengths based on given first and last frames, along with text prompt information, offers significant research and application potential. However, traditional frame interpolation tasks…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Yijia Hong , Jiangning Zhang , Ran Yi , Yuji Wang , Weijian Cao , Xiaobin Hu , Zhucun Xue , Yabiao Wang , Chengjie Wang , Lizhuang Ma

The problem of video inter-frame interpolation is an essential task in the field of image processing. Correctly increasing the number of frames in the recording while maintaining smooth movement allows to improve the quality of played video…

Computer Vision and Pattern Recognition · Computer Science 2021-06-02 Malwina Kubas , Grzegorz Sarwas

Factorization Machines (FM) are only used in a narrow range of applications and are not part of the standard toolbox of machine learning models. This is a pity, because even though FMs are recognized as being very successful for recommender…

Machine Learning · Computer Science 2016-11-24 Immanuel Bayer

Collaborative filtering (CF) is a popular technique in today's recommender systems, and matrix approximation-based CF methods have achieved great success in both rating prediction and top-N recommendation tasks. However, real-world…

Machine Learning · Computer Science 2018-11-07 Dongsheng Li , Chao Chen , Qin Lv , Junchi Yan , Li Shang , Stephen M. Chu

The introduction of Fuzzy Relational Equations (FREs) has made problems that were unsolvable using algebraic linear equations into solvable ones. FREs have been applied to problemsin medicine, industry, transportation and all types of…

General Mathematics · Mathematics 2007-05-23 W. B. Vasantha Kandasamy , Florentin Smarandache

Non-uniform fast Fourier Transform (NUFFT) and inverse NUFFT (INUFFT) algorithms, based on the Fast Multipole Method (FMM) are developed and tested. Our algorithms are based on a novel factorization of the FFT kernel, and are implemented…

Numerical Analysis · Computer Science 2016-11-30 Nail A. Gumerov , Ramani Duraiswami

Interval Pairwise Comparison Matrices have been widely used to account for uncertain statements concerning the preferences of decision makers. Several approaches have been proposed in the literature, such as multiplicative and fuzzy…

Artificial Intelligence · Computer Science 2017-11-28 Bice Cavallo , Matteo Brunelli

Cross-silo federated learning (FL) enables the development of machine learning models on datasets distributed across data centers such as hospitals and clinical research laboratories. However, recent research has found that current FL…

Machine Learning · Computer Science 2023-07-21 Minghui Chen , Meirui Jiang , Qi Dou , Zehua Wang , Xiaoxiao Li

In this paper we propose a new efficient interpolation tool, extremely suitable for large scattered data sets. The partition of unity method is used and performed by blending Radial Basis Functions (RBFs) as local approximants and using…

Numerical Analysis · Mathematics 2016-04-18 R. Cavoretto , A. De Rossi , E. Perracchione

We present a frame interpolation algorithm that synthesizes multiple intermediate frames from two input images with large in-between motion. Recent methods use multiple networks to estimate optical flow or depth and a separate network…

Computer Vision and Pattern Recognition · Computer Science 2022-07-19 Fitsum Reda , Janne Kontkanen , Eric Tabellion , Deqing Sun , Caroline Pantofaru , Brian Curless

Matrix factorization models are the core of current commercial collaborative filtering Recommender Systems. This paper tested six representative matrix factorization models, using four collaborative filtering datasets. Experiments have…

Information Retrieval · Computer Science 2024-10-28 Jesús Bobadilla , Jorge Dueñas-Lerín , Fernando Ortega , Abraham Gutierrez