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When gradient-based methods are impractical, black-box optimization (BBO) provides a valuable alternative. However, BBO often struggles with high-dimensional problems and limited trial budgets. In this work, we propose a novel approach…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Riccardo Busetto , Manas Mejari , Marco Forgione , Alberto Bemporad , Dario Piga

An adaptation of Response Surface Methodology (RSM) when the covariate is of high or infinite dimensional is proposed, providing a tool for black-box optimization in this context. We combine dimension reduction techniques with classical…

Statistics Theory · Mathematics 2015-11-19 Angelina Roche

Different unsupervised models for dimensionality reduction like PCA, LLE, Shannon's mapping, tSNE, UMAP, etc. work on different principles, hence, they are difficult to compare on the same ground. Although they are usually good for…

Methodology · Statistics 2024-05-10 Subhrajyoty Roy

We present Low Distortion Local Eigenmaps (LDLE), a manifold learning technique which constructs a set of low distortion local views of a dataset in lower dimension and registers them to obtain a global embedding. The local views are…

Spectral Theory · Mathematics 2021-12-21 Dhruv Kohli , Alexander Cloninger , Gal Mishne

Modern instance-based model-agnostic explanation methods (LIME, SHAP, L2X) are of great use in data-heavy industries for model diagnostics, and for end-user explanations. These methods generally return either a weighting or subset of input…

Machine Learning · Computer Science 2019-12-03 Matt Chapman-Rounds , Marc-Andre Schulz , Erik Pazos , Konstantinos Georgatzis

Bayesian optimization is a broadly applied methodology to optimize the expensive black-box function. Despite its success, it still faces the challenge from the high-dimensional search space. To alleviate this problem, we propose a novel…

Machine Learning · Computer Science 2020-10-20 Jingfan Chen , Guanghui Zhu , Chunfeng Yuan , Yihua Huang

Explainable machine learning (XML) has emerged as a major challenge in artificial intelligence (AI). Although black-box models such as Deep Neural Networks and Gradient Boosting often exhibit exceptional predictive accuracy, their lack of…

Methodology · Statistics 2024-06-18 Evgenii Kuriabov , Jia Li

Machine learning and especially deep learning have garneredtremendous popularity in recent years due to their increased performanceover other methods. The availability of large amount of data has aidedin the progress of deep learning.…

Machine Learning · Computer Science 2019-09-06 Sharath M. Shankaranarayana , Davor Runje

With the increasing availability of high-dimensional data, analysts often rely on exploratory data analysis to understand complex data sets. A key approach to exploring such data is dimensionality reduction, which embeds high-dimensional…

Machine Learning · Computer Science 2024-12-17 Pavlin G. Poličar , Blaž Zupan

Representing images and videos with Symmetric Positive Definite (SPD) matrices, and considering the Riemannian geometry of the resulting space, has been shown to yield high discriminative power in many visual recognition tasks.…

Computer Vision and Pattern Recognition · Computer Science 2016-05-23 Mehrtash Harandi , Mathieu Salzmann , Richard Hartley

Several explainable AI methods allow a Machine Learning user to get insights on the classification process of a black-box model in the form of local linear explanations. With such information, the user can judge which features are locally…

Machine Learning · Computer Science 2023-02-16 Francesco Lomuscio , Paolo Bajardi , Alan Perotti , Elvio G. Amparore

Interpreting black box classifiers, such as deep networks, allows an analyst to validate a classifier before it is deployed in a high-stakes setting. A natural idea is to visualize the deep network's representations, so as to "see what the…

Machine Learning · Computer Science 2018-03-13 Kai Xu , Dae Hoon Park , Chang Yi , Charles Sutton

Most multi-view clustering methods are limited by shallow models without sound nonlinear information perception capability, or fail to effectively exploit complementary information hidden in different views. To tackle these issues, we…

Machine Learning · Computer Science 2022-10-14 Fu Lele , Zhang Lei , Yang Jinghua , Chen Chuan , Zhang Chuanfu , Zheng Zibin

Dimension reduction and visualization of high-dimensional data have become very important research topics because of the rapid growth of large databases in data science. In this paper, we propose using a generalized sigmoid function to…

Machine Learning · Statistics 2020-07-20 Yu Liang , Arin Chaudhuri , Haoyu Wang

Explainable artificial intelligence (XAI) is an emerging new domain in which a set of processes and tools allow humans to better comprehend the decisions generated by black box models. However, most of the available XAI tools are often…

Machine Learning · Computer Science 2021-07-22 Zoumpolia Dikopoulou , Serafeim Moustakidis , Patrik Karlsson

Nonlinear dimensionality reduction lacks interpretability due to the absence of source features in low-dimensional embedding space. We propose an interpretable method featMAP to preserve source features by tangent space embedding. The core…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Yang Yang , Hongjian Sun , Jialei Gong , Di Yu

Sparse autoencoders (SAEs) have emerged as a powerful tool for uncovering interpretable features in large language models (LLMs) through the sparse directions they learn. However, the sheer number of extracted directions makes comprehensive…

Computation and Language · Computer Science 2025-11-11 Xinyuan Yan , Shusen Liu , Kowshik Thopalli , Bei Wang

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…

Image and Video Processing · Electrical Eng. & Systems 2020-08-11 Bowen Jiang , Maohao Shen

Understanding the interpretation of machine learning (ML) models has been of paramount importance when making decisions with societal impacts such as transport control, financial activities, and medical diagnosis. While current model…

Human-Computer Interaction · Computer Science 2024-05-07 Jun Yuan , Gromit Yeuk-Yin Chan , Brian Barr , Kyle Overton , Kim Rees , Luis Gustavo Nonato , Enrico Bertini , Claudio T. Silva

Interpretation of the underlying mechanisms of Deep Convolutional Neural Networks has become an important aspect of research in the field of deep learning due to their applications in high-risk environments. To explain these black-box…

Computer Vision and Pattern Recognition · Computer Science 2020-11-13 Haofan Wang , Rakshit Naidu , Joy Michael , Soumya Snigdha Kundu