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It is shown that regularisation by dimensional reduction is a viable alternative to dimensional regularisation in non-supersymmetric theories.

高能物理 - 唯象学 · 物理学 2009-10-22 I. Jack , D. R. T. Jones , K. L. Roberts

One of the fundamental problems within the field of machine learning is dimensionality reduction. Dimensionality reduction methods make it possible to combat the so-called curse of dimensionality, visualize high-dimensional data and, in…

机器学习 · 计算机科学 2025-05-12 Sergio García-Heredia , Ángela Fernández , Carlos M. Alaíz

When performing classification tasks, raw high dimensional features often contain redundant information, and lead to increased computational complexity and overfitting. In this paper, we assume the data samples lie on a single underlying…

图像与视频处理 · 电气工程与系统科学 2020-08-11 Bowen Jiang , Maohao Shen

The gradual patterns that model the complex co-variations of attributes of the form "The more/less X, The more/less Y" play a crucial role in many real world applications where the amount of numerical data to manage is important, this is…

机器学习 · 计算机科学 2020-05-25 Michaël Chirmeni Boujike , Jerry Lonlac , Norbert Tsopze , Engelbert Mephu Nguifo

Many decision making systems deployed in the real world are not static - a phenomenon known as model adaptation takes place over time. The need for transparency and interpretability of AI-based decision models is widely accepted and thus…

机器学习 · 计算机科学 2021-04-08 André Artelt , Fabian Hinder , Valerie Vaquet , Robert Feldhans , Barbara Hammer

Contrastive explanations clarify why an event occurred in contrast to another. They are more inherently intuitive to humans to both produce and comprehend. We propose a methodology to produce contrastive explanations for classification…

计算与语言 · 计算机科学 2021-09-15 Alon Jacovi , Swabha Swayamdipta , Shauli Ravfogel , Yanai Elazar , Yejin Choi , Yoav Goldberg

One of the central issues of several machine learning applications on real data is the choice of the input features. Ideally, the designer should select only the relevant, non-redundant features to preserve the complete information…

机器学习 · 计算机科学 2023-03-28 Paolo Bonetti , Alberto Maria Metelli , Marcello Restelli

Dimensionality Reduction plays a pivotal role in improving feature learning accuracy and reducing training time by eliminating redundant features, noise, and irrelevant data. Nonnegative Matrix Factorization (NMF) has emerged as a popular…

机器学习 · 计算机科学 2024-05-07 Farid Saberi-Movahed , Kamal Berahman , Razieh Sheikhpour , Yuefeng Li , Shirui Pan

Counterfactual Explanations are becoming a de-facto standard in post-hoc interpretable machine learning. For a given classifier and an instance classified in an undesired class, its counterfactual explanation corresponds to small…

机器学习 · 计算机科学 2024-01-17 Veronica Piccialli , Dolores Romero Morales , Cecilia Salvatore

This article presents the prediction difference analysis method for visualizing the response of a deep neural network to a specific input. When classifying images, the method highlights areas in a given input image that provide evidence for…

计算机视觉与模式识别 · 计算机科学 2017-02-16 Luisa M Zintgraf , Taco S Cohen , Tameem Adel , Max Welling

Dimensionality reduction (DR) techniques are essential for visually analyzing high-dimensional data. However, visual analytics using DR often face unreliability, stemming from factors such as inherent distortions in DR projections. This…

Dimensionality reduction techniques are fundamental for analyzing and visualizing high-dimensional data. With established methods like t-SNE and PCA presenting a trade-off between representational power and interpretability. This paper…

机器学习 · 计算机科学 2025-04-25 Erik Bergh

Dimensionality reduction techniques play important roles in the analysis of big data. Traditional dimensionality reduction approaches, such as principal component analysis (PCA) and linear discriminant analysis (LDA), have been studied…

机器学习 · 计算机科学 2018-05-31 Haozhe Xie , Jie Li , Hanqing Xue

Dimension reduction is a common strategy to study non-linear dynamical systems composed by a large number of variables. The goal is to find a smaller version of the system whose time evolution is easier to predict while preserving some of…

动力系统 · 数学 2022-06-23 Marina Vegué , Vincent Thibeault , Patrick Desrosiers , Antoine Allard

Affective computing has become a very important research area in human-machine interaction. However, affects are subjective, subtle, and uncertain. So, it is very difficult to obtain a large number of labeled training samples, compared with…

机器学习 · 计算机科学 2020-04-02 Chenfeng Guo , Dongrui Wu

Post-hoc explanations of machine learning models are crucial for people to understand and act on algorithmic predictions. An intriguing class of explanations is through counterfactuals, hypothetical examples that show people how to obtain a…

机器学习 · 计算机科学 2019-12-09 Ramaravind Kommiya Mothilal , Amit Sharma , Chenhao Tan

Dimensionality reduction methods, also known as projections, are frequently used for exploring multidimensional data in machine learning, data science, and information visualization. Among these, t-SNE and its variants have become very…

机器学习 · 计算机科学 2019-02-22 Mateus Espadoto , Nina S. T. Hirata , Alexandru C. Telea

In the covariate shift learning scenario, the training and test covariate distributions differ, so that a predictor's average loss over the training and test distributions also differ. In this work, we explore the potential of extreme…

机器学习 · 计算机科学 2018-03-13 Fulton Wang , Cynthia Rudin

Classification models are a key component of structural digital twin technologies used for supporting asset management decision-making. An important consideration when developing classification models is the dimensionality of the input, or…

机器学习 · 计算机科学 2024-09-18 Aidan J. Hughes , Keith Worden , Nikolaos Dervilis , Timothy J. Rogers

Many high dimensional vector distances tend to a constant. This is typically considered a negative "contrast-loss" phenomenon that hinders clustering and other machine learning techniques. We reinterpret "contrast-loss" as a blessing.…

计算机视觉与模式识别 · 计算机科学 2018-04-10 Wen-Yan Lin , Siying Liu , Jian-Huang Lai , Yasuyuki Matsushita