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We propose a novel framework for learning a low-dimensional representation of data based on nonlinear dynamical systems, which we call dynamical dimension reduction (DDR). In the DDR model, each point is evolved via a nonlinear flow towards…

Machine Learning · Statistics 2022-04-19 Ryeongkyung Yoon , Braxton Osting

One of the challenges in analyzing high-dimensional expression data is the detection of important biological signals. A common approach is to apply a dimension reduction method, such as principal component analysis. Typically, after…

Quantitative Methods · Quantitative Biology 2012-06-05 Andreas Lehrmann , Michael Huber , Aydin C. Polatkan , Albert Pritzkau , Kay Nieselt

In healthcare, making the best possible predictions with complex models (e.g., neural networks, ensembles/stacks of different models) can impact patient welfare. In order to make these complex models explainable, we present DeepSHAP for…

Machine Learning · Computer Science 2019-11-28 Hugh Chen , Scott Lundberg , Su-In Lee

This paper introduces a new unsupervised method for dimensionality reduction via regression (DRR). The algorithm belongs to the family of invertible transforms that generalize Principal Component Analysis (PCA) by using curvilinear instead…

Machine Learning · Statistics 2016-02-02 Valero Laparra , Jesus Malo , Gustau Camps-Valls

Data valuation has garnered increasing attention in recent years, given the critical role of high-quality data in various applications. Among diverse data valuation approaches, Shapley value-based methods are predominant due to their strong…

Machine Learning · Computer Science 2025-11-27 Xiaoling Zhou , Ou Wu , Michael K. Ng , Hao Jiang

Dimension reduction (DR) is commonly utilized to capture the intrinsic structure and transform high-dimensional data into low-dimensional space while retaining meaningful properties of the original data. It is used in various applications,…

Machine Learning · Computer Science 2022-11-29 Zelin Zang , Shenghui Cheng , Linyan Lu , Hanchen Xia , Liangyu Li , Yaoting Sun , Yongjie Xu , Lei Shang , Baigui Sun , Stan Z. Li

Clustering high-dimensional datasets is hard because interpoint distances become less informative in high-dimensional spaces. We present a clustering algorithm that performs nonlinear dimensionality reduction and clustering jointly. The…

Machine Learning · Computer Science 2018-03-06 Sohil Atul Shah , Vladlen Koltun

The use of algorithm-agnostic approaches is an emerging area of research for explaining the contribution of individual features towards the predicted outcome. Whilst there is a focus on explaining the prediction itself, a little has been…

Machine Learning · Computer Science 2022-11-07 Guilherme Dean Pelegrina , Sajid Siraj

Clustering is an unsupervised learning problem that aims to partition unlabelled data points into groups with similar features. Traditional clustering algorithms provide limited insight into the groups they find as their main focus is…

Machine Learning · Computer Science 2022-10-18 Connor Lawless , Oktay Gunluk

Visual analytics using dimensionality reduction (DR) can easily be unreliable for various reasons, e.g., inherent distortions in representing the original data. The literature has thus proposed a wide range of methodologies to make DR-based…

Human-Computer Interaction · Computer Science 2025-06-19 Hyeon Jeon , Hyunwook Lee , Yun-Hsin Kuo , Taehyun Yang , Daniel Archambault , Sungahn Ko , Takanori Fujiwara , Kwan-Liu Ma , Jinwook Seo

Clustering is one of the most widely used procedures in the analysis of microarray data, for example with the goal of discovering cancer subtypes based on observed heterogeneity of genetic marks between different tissues. It is well-known…

Methodology · Statistics 2009-04-21 Heng Lian

Disentangled Representation Learning (DRL) aims to learn a model capable of identifying and disentangling the underlying factors hidden in the observable data in representation form. The process of separating underlying factors of variation…

Machine Learning · Computer Science 2024-06-28 Xin Wang , Hong Chen , Si'ao Tang , Zihao Wu , Wenwu Zhu

Shapley values have become one of the go-to methods to explain complex models to end-users. They provide a model agnostic post-hoc explanation with foundations in game theory: what is the worth of a player (in machine learning, a feature…

Machine Learning · Computer Science 2023-06-21 Joran Michiels , Maarten De Vos , Johan Suykens

Interpretable machine learning has been focusing on explaining final models that optimize performance. The current state-of-the-art is the Shapley additive explanations (SHAP) that locally explains variable impact on individual predictions,…

We study the topic of dimensionality reduction for $k$-means clustering. Dimensionality reduction encompasses the union of two approaches: \emph{feature selection} and \emph{feature extraction}. A feature selection based algorithm for…

Data Structures and Algorithms · Computer Science 2015-03-19 Christos Boutsidis , Anastasios Zouzias , Michael W. Mahoney , Petros Drineas

Ensemble learning has had many successes in supervised learning, but it has been rare in unsupervised learning and dimensionality reduction. This study explores dimensionality reduction ensembles, using principal component analysis and…

Machine Learning · Statistics 2017-10-13 Colleen M. Farrelly

Dimensionality reduction techniques aim at representing high-dimensional data in low-dimensional spaces to extract hidden and useful information or facilitate visual understanding and interpretation of the data. However, few of them take…

Machine Learning · Computer Science 2022-10-25 Yan Sun , Yi Han , Jicong Fan

We consider the dataset valuation problem, that is, the problem of quantifying the incremental gain, to some relevant pre-defined utility of a machine learning task, of aggregating an individual dataset to others. The Shapley value is a…

Artificial Intelligence · Computer Science 2025-02-25 Felipe Garrido-Lucero , Benjamin Heymann , Maxime Vono , Patrick Loiseau , Vianney Perchet

Recently, Transformer is much popular and plays an important role in the fields of Machine Learning (ML), Natural Language Processing (NLP), and Computer Vision (CV), etc. In this paper, based on the Vision Transformer (ViT) model, a new…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Ruisheng Ran , Tianyu Gao , Bin Fang

While Explainable Artificial Intelligence (XAI) is increasingly expanding more areas of application, little has been applied to make deep Reinforcement Learning (RL) more comprehensible. As RL becomes ubiquitous and used in critical and…

Artificial Intelligence · Computer Science 2021-10-05 Alexandre Heuillet , Fabien Couthouis , Natalia Díaz-Rodríguez
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