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Recent work on fractionally-supervised classification (FSC), an approach that allows classification to be carried out with a fractional amount of weight given to the unlabelled points, is further developed in two respects. The primary…

Methodology · Statistics 2017-09-26 Michael P. B. Gallaugher , Paul D. McNicholas

A fractal surface is a set which is a graph of a bivariate continuous function. In the construction of fractal surfaces using IFS, vertical scaling factors in IFS are important one which characterizes a fractal feature of surfaces…

Dynamical Systems · Mathematics 2014-04-07 Chol-Hui Yun , Hui-Chol Choi , Hyong-Chol O

Fuzzy time series forecasting (FTSF) is a typical forecasting method with wide application. Traditional FTSF is regarded as an expert system which leads to loss of the ability to recognize undefined features. The mentioned is the main…

Machine Learning · Computer Science 2023-08-29 Tianxiang Zhan , Yuanpeng He , Yong Deng , Zhen Li

Feature selection is crucial for fuzzy decision systems (FDSs), as it identifies informative features and eliminates rule redundancy, thereby enhancing predictive performance and interpretability. Most existing methods either fail to…

Machine Learning · Computer Science 2025-10-01 Suping Xu , Chuyi Dai , Ye Liu , Lin Shang , Xibei Yang , Witold Pedrycz

Over the last three decades, ensemble forecasts have become an integral part of forecasting the weather. They provide users with more complete information than single forecasts as they permit to estimate the probability of weather events by…

Few-Shot Semantic Segmentation (FSS) models achieve strong performance in segmenting novel classes with minimal labeled examples, yet their decision-making processes remain largely opaque. While explainable AI has advanced significantly in…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Pasquale De Marinis , Uzay Kaymak , Rogier Brussee , Gennaro Vessio , Giovanna Castellano

Downscaling (DS) of meteorological variables involves obtaining high-resolution states from low-resolution meteorological fields and is an important task in weather forecasting. Previous methods based on deep learning treat downscaling as a…

Computer Vision and Pattern Recognition · Computer Science 2024-01-23 Zili Liu , Hao Chen , Lei Bai , Wenyuan Li , Keyan Chen , Zhengyi Wang , Wanli Ouyang , Zhengxia Zou , Zhenwei Shi

Skill scores, which measure the relative improvement of a forecasting method over a benchmark via consistent scoring functions and proper scoring rules, are a standard tool in forecast evaluation, yet their sampling uncertainty is rarely…

Methodology · Statistics 2026-05-06 Marc-Oliver Pohle , Tanja Zahn , Sebastian Lerch

When predicting future events, it is common to issue forecasts that are probabilistic, in the form of probability distributions over the range of possible outcomes. Such forecasts can be evaluated using proper scoring rules. Proper scoring…

Computation · Statistics 2023-05-15 Sam Allen

Fractional learning algorithms are trending in signal processing and adaptive filtering recently. However, it is unclear whether the proclaimed superiority over conventional algorithms is well-grounded or is a myth as their performance has…

Machine Learning · Computer Science 2022-11-23 Abdul Wahab , Shujaat Khan , Imran Naseem , Jong Chul Ye

The study of third-order statistics in large-scale structure analyses has been hampered by the increased complexity of bispectrum estimators (compared to power spectra), the large dimensionality of the data vector, and the difficulty in…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-20 Lea Harscouet , Jessica A. Cowell , Julia Ereza , David Alonso , Hugo Camacho , Andrina Nicola , Anže Slosar

The partial least squares procedure was originally developed to estimate the slope parameter in multivariate parametric models. More recently it has gained popularity in the functional data literature. There, the partial least squares…

Statistics Theory · Mathematics 2012-05-30 Aurore Delaigle , Peter Hall

Machine learning has been highly successful in data-intensive applications but is often hampered when the data set is small. Recently, Few-Shot Learning (FSL) is proposed to tackle this problem. Using prior knowledge, FSL can rapidly…

Machine Learning · Computer Science 2020-03-31 Yaqing Wang , Quanming Yao , James Kwok , Lionel M. Ni

The Gaussian function (GF) is widely used to explain the behavior or statistical distribution of many natural phenomena as well as industrial processes in different disciplines of engineering and applied science. For example, the GF can be…

Signal Processing · Electrical Eng. & Systems 2020-01-08 Ibrahim Al-Nahhal , Octavia A. Dobre , Ertugrul Basar , Cecilia Moloney , Salama Ikki

Forecasting future weather and climate is inherently difficult. Machine learning offers new approaches to increase the accuracy and computational efficiency of forecasts, but current methods are unable to accurately model uncertainty in…

Machine Learning · Computer Science 2023-02-02 Yusuke Hatanaka , Yannik Glaser , Geoff Galgon , Giuseppe Torri , Peter Sadowski

The F-measure or F-score is one of the most commonly used single number measures in Information Retrieval, Natural Language Processing and Machine Learning, but it is based on a mistake, and the flawed assumptions render it unsuitable for…

Information Retrieval · Computer Science 2019-09-13 David M. W. Powers

In situations where forecasters are scored on the quality of their probabilistic predictions, it is standard to use `proper' scoring rules to perform such scoring. These rules are desirable because they give forecasters no incentive to lie…

Methodology · Statistics 2020-08-25 Spencer Greenberg

When using the Focused Information Criterion (FIC) for assessing and ranking candidate models with respect to how well they do for a given estimation task, it is customary to produce a so-called FIC plot. This plot has the different point…

Methodology · Statistics 2026-02-18 Céline Cunen , Nils Lid Hjort

Conformal prediction is a simple and powerful tool that can quantify uncertainty without any distributional assumptions. Many existing methods only address the average coverage guarantee, which is not ideal compared to the stronger…

Machine Learning · Statistics 2023-02-21 Xing Han , Ziyang Tang , Joydeep Ghosh , Qiang Liu

We introduce the concept of fractured stochastic orbitals (FSOs), short vectors that sample a small number of space points and enable an efficient stochastic sampling of any general function. As a first demonstration, FSOs are applied in…

Computational Physics · Physics 2018-08-15 Vojtěch Vlček , Wenfei Li , Roi Baer , Eran Rabani , Daniel Neuhauser