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Manifold visualisation techniques are commonly used to visualise high-dimensional datasets in physical sciences. In this paper we apply a recently introduced manifold visualisation method, called Slise, on datasets from physics and…

Machine Learning · Computer Science 2024-01-29 Lauri Seppäläinen , Anton Björklund , Vitus Besel , Kai Puolamäki

Nonlinear dimensional reduction with the manifold assumption, often called manifold learning, has proven its usefulness in a wide range of high-dimensional data analysis. The significant impact of t-SNE and UMAP has catalyzed intense…

Machine Learning · Computer Science 2026-04-02 Jungeum Kim , Xiao Wang

Non-linear dimensionality reduction can be performed by \textit{manifold learning} approaches, such as Stochastic Neighbour Embedding (SNE), Locally Linear Embedding (LLE) and Isometric Feature Mapping (ISOMAP). These methods aim to produce…

Machine Learning · Statistics 2021-12-09 Theodoulos Rodosthenous , Vahid Shahrezaei , Marina Evangelou

Dimensionality reduction is often used as an initial step in data exploration, either as preprocessing for classification or regression or for visualization. Most dimensionality reduction techniques to date are unsupervised; they do not…

Machine Learning · Statistics 2020-06-17 Jake S. Rhodes , Adele Cutler , Guy Wolf , Kevin R. Moon

Dimensionality reduction methods are employed to decrease data dimensionality, either to enhance machine learning performance or to facilitate data visualization in two or three-dimensional spaces. These methods typically fall into two…

Machine Learning · Computer Science 2025-08-26 Berat Dogan

Manifold learning (ML) aims to seek low-dimensional embedding from high-dimensional data. The problem is challenging on real-world datasets, especially with under-sampling data, and we find that previous methods perform poorly in this case.…

Machine Learning · Computer Science 2022-07-27 Zelin Zang , Siyuan Li , Di Wu , Ge Wang , Lei Shang , Baigui Sun , Hao Li , Stan Z. Li

Most state-of-the-art machine learning algorithms induce black-box models, preventing their application in many sensitive domains. Hence, many methodologies for explaining machine learning models have been proposed to address this problem.…

Machine Learning · Computer Science 2020-09-15 Tiago Botari , Frederik Hvilshøj , Rafael Izbicki , Andre C. P. L. F. de Carvalho

For image recognition, an extensive number of methods have been proposed to overcome the high-dimensionality problem of feature vectors being used. These methods vary from unsupervised to supervised, and from statistics to graph-theory…

Computer Vision and Pattern Recognition · Computer Science 2018-01-12 Cigdem Turan , Kin-Man Lam , Xiangjian He

Understanding black-box machine learning models is crucial for their widespread adoption. Learning globally interpretable models is one approach, but achieving high performance with them is challenging. An alternative approach is to explain…

Machine Learning · Computer Science 2022-09-23 Jinsung Yoon , Sercan O. Arik , Tomas Pfister

Black box systems for automated decision making, often based on machine learning over (big) data, map a user's features into a class or a score without exposing the reasons why. This is problematic not only for lack of transparency, but…

Artificial Intelligence · Computer Science 2018-06-27 Dino Pedreschi , Fosca Giannotti , Riccardo Guidotti , Anna Monreale , Luca Pappalardo , Salvatore Ruggieri , Franco Turini

We present a new nonlinear dimensionality reduction method, MAPLE, that enhances UMAP by improving manifold modeling. MAPLE employs a self-supervised learning approach to more efficiently encode low-dimensional manifold geometry. Central to…

Machine Learning · Computer Science 2026-05-15 Zeyang Huang , Takanori Fujiwara , Angelos Chatzimparmpas , Wandrille Duchemin , Andreas Kerren

Uniform Manifold Approximation and Projection (UMAP) is a widely used manifold learning technique for dimensionality reduction. This paper studies UMAP, supervised UMAP, and several competing dimensionality reduction methods, including…

Machine Learning · Computer Science 2026-05-04 Guanzhe Zhang , Shanshan Ding , Zhezhen Jin

A new brand of technical artificial intelligence ( Explainable AI ) research has focused on trying to open up the 'black box' and provide some explainability. This paper presents a novel visual explanation method for deep learning networks…

Computer Vision and Pattern Recognition · Computer Science 2020-06-08 Satya M. Muddamsetty , Mohammad N. S. Jahromi , Thomas B. Moeslund

We propose a visualization method to understand the effect of multidimensional projection on local subspaces, using implicit function differentiation. Here, we understand the local subspace as the multidimensional local neighborhood of data…

Machine Learning · Computer Science 2023-07-21 Rongzheng Bian , Yumeng Xue , Liang Zhou , Jian Zhang , Baoquan Chen , Daniel Weiskopf , Yunhai Wang

Locally interpretable model agnostic explanations (LIME) method is one of the most popular methods used to explain black-box models at a per example level. Although many variants have been proposed, few provide a simple way to produce high…

Machine Learning · Computer Science 2023-10-04 Amit Dhurandhar , Karthikeyan Ramamurthy , Kartik Ahuja , Vijay Arya

The encoding of solutions in black-box optimization is a delicate, handcrafted balance between expressiveness and domain knowledge -- between exploring a wide variety of solutions, and ensuring that those solutions are useful. Our main…

Neural and Evolutionary Computing · Computer Science 2020-07-07 Adam Gaier , Alexander Asteroth , Jean-Baptiste Mouret

Most commonly used non-linear machine learning methods are closed-box models, uninterpretable to humans. The field of explainable artificial intelligence (XAI) aims to develop tools to examine the inner workings of these closed boxes. An…

Machine Learning · Computer Science 2026-05-26 Lauri Seppäläinen , Mudong Guo , Kai Puolamäki

Dimension reduction (DR) algorithms have proven to be extremely useful for gaining insight into large-scale high-dimensional datasets, particularly finding clusters in transcriptomic data. The initial phase of these DR methods often…

Machine Learning · Computer Science 2025-10-15 Yingfan Wang , Yiyang Sun , Haiyang Huang , Cynthia Rudin

Linear dimensionality reduction methods are a cornerstone of analyzing high dimensional data, due to their simple geometric interpretations and typically attractive computational properties. These methods capture many data features of…

Machine Learning · Statistics 2016-03-22 John P. Cunningham , Zoubin Ghahramani

Software visualization helps to comprehend the system by providing a vivid illustration. The developers, as well as the analysts, can have a glance over the total system to understand the basic changes over time from a high-level point of…

Software Engineering · Computer Science 2021-08-16 Fazle Rabbi , Nishat Tasnim Niloy , Nadia Nahar , Md. Nurul Ahad Tawhid
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