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In a data matrix, we may distinguish between cases, each represented by a row vector for a statistical unit, and cells, which correspond to single entries of the data matrix. Recent developments in Robust Statistics have introduced the…

The quality of the ranking function is an important factor that determines the quality of the Information Retrieval system. Each document is assigned a score by the ranking function; the score indicates the likelihood of relevance of the…

信息检索 · 计算机科学 2007-05-23 Neil Rubens

We propose a novel scheme for designing fuzzy rule based classifier. An SOFM based method is used for generating a set of prototypes which is used to generate a set of fuzzy rules. Each rule represents a region in the feature space that we…

计算机视觉与模式识别 · 计算机科学 2015-05-14 Nikhil R. Pal , Arijit Laha , J. Das

As the two basic fuzzy inference models, fuzzy modus ponens (FMP) and fuzzy modus tollens (FMT) have the important application in artificial intelligence. In order to solve FMP and FMT problems, Zadeh proposed a compositional rule of…

逻辑 · 数学 2023-11-14 Dechao Li , Mengying He

Machine learning algorithms have been increasingly deployed in critical automated decision-making systems that directly affect human lives. When these algorithms are only trained to minimize the training/test error, they could suffer from…

机器学习 · 计算机科学 2023-09-14 Sina Baharlouei , Maher Nouiehed , Ahmad Beirami , Meisam Razaviyayn

A central goal of machine learning is to learn robust representations that capture the causal relationship between inputs features and output labels. However, minimizing empirical risk over finite or biased datasets often results in models…

机器学习 · 计算机科学 2021-06-15 Chunting Zhou , Xuezhe Ma , Paul Michel , Graham Neubig

L.A.Zadeh introduced the concept of fuzzy set theory as the generalization of classical set theory in 1965 and further it has been generalized to intuitionistic fuzzy sets (IFSs) by Atanassov in 1983 to model information by the membership,…

综合数学 · 数学 2016-02-05 V. Lakshmana Gomathi Nayagam , Jeevaraj. S , Geetha Sivaraman

A long-standing topic in artificial intelligence is the effective recognition of patterns from noisy images. In this regard, the recent data-driven paradigm considers 1) improving the representation robustness by adding noisy samples in…

计算机视觉与模式识别 · 计算机科学 2024-06-21 Shuren Qi , Yushu Zhang , Chao Wang , Tao Xiang , Xiaochun Cao , Yong Xiang

Tree ensemble methods such as random forests [Breiman, 2001] are very popular to handle high-dimensional tabular data sets, notably because of their good predictive accuracy. However, when machine learning is used for decision-making…

统计理论 · 数学 2021-12-28 Erwan Scornet

This paper further studies the fuzzy rough sets based on fuzzy coverings. We first present the notions of the lower and upper approximation operators based on fuzzy coverings and derive their basic properties. To facilitate the computation…

信息论 · 计算机科学 2013-04-02 Guangming Lang , Qingguo Li , Lankun Guo

The Fuzzy Gene Filter (FGF) is an optimised Fuzzy Inference System designed to rank genes in order of differential expression, based on expression data generated in a microarray experiment. This paper examines the effectiveness of the FGF…

机器学习 · 计算机科学 2011-08-24 Meir Perez , Tshilidzi Marwala

Regression trees are a popular machine learning algorithm that fit piecewise constant models by recursively partitioning the predictor space. This paper focuses on statistical inference for a data-dependent model obtained from a fitted…

统计方法学 · 统计学 2025-12-17 Soham Bakshi , Yiling Huang , Snigdha Panigrahi , Walter Dempsey

We present FOLD-SE, an efficient, explainable machine learning algorithm for classification tasks given tabular data containing numerical and categorical values. FOLD-SE generates a set of default rules-essentially a stratified normal logic…

机器学习 · 计算机科学 2023-01-11 Huaduo Wang , Gopal Gupta

Fault tree analysis is a vital method of assessing safety risks. It helps to identify potential causes of accidents, assess their likelihood and severity, and suggest preventive measures. Quantitative analysis of fault trees is often done…

人工智能 · 计算机科学 2024-03-15 Thi Kim Nhung Dang , Milan Lopuhaä-Zwakenberg , Mariëlle Stoelinga

This paper mainly studies the rule acquisition and attribute reduction for formal decision context based on two new kinds of decision rules, namely I-decision rules and II-decision rules. The premises of these rules are object-oriented…

人工智能 · 计算机科学 2021-07-08 Qian Hu , Keyun Qin

Regression problems have been more and more embraced by deep learning (DL) techniques. The increasing number of papers recently published in this domain, including surveys and reviews, shows that deep regression has captured the attention…

机器学习 · 计算机科学 2022-09-12 Jorge S. S. Júnior , Jérôme Mendes , Francisco Souza , Cristiano Premebida

Label learning is a fundamental task in machine learning that aims to construct intelligent models using labeled data, encompassing traditional single-label and multi-label classification models. Traditional methods typically rely on…

机器学习 · 计算机科学 2025-11-11 Chenxi Luoa , Zhuangzhuang Zhaoa , Zhaohong Denga , Te Zhangb

Feature Learning aims to extract relevant information contained in data sets in an automated fashion. It is driving force behind the current deep learning trend, a set of methods that have had widespread empirical success. What is lacking…

机器学习 · 统计学 2015-04-02 Brendan van Rooyen , Robert C. Williamson

Structure learning of Conditional Random Fields (CRFs) can be cast into an L1-regularized optimization problem. To avoid optimizing over a fully linked model, gain-based or gradient-based feature selection methods start from an empty model…

机器学习 · 计算机科学 2014-07-01 Ni Lao , Jun Zhu

In our recent paper we have established close relationships between state reduction of a fuzzy recognizer and resolution of a particular system of fuzzy relation equations. In that paper we have also studied reductions by means of those…

形式语言与自动机理论 · 计算机科学 2011-03-01 Aleksandar Stamenković , Miroslav Ćirić , Jelena Ignjatović