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Boxplots and related visualization methods are widely used exploratory tools for taking a first look at collections of univariate variables. In this note an extension is provided that is specifically designed to detect and display…

Methodology · Statistics 2026-05-05 Camille M. Montalcini , Peter J. Rousseeuw

To address the challenges of reliable statistical inference in high-dimensional models, we introduce the Synthetic-data Regularized Estimator (SRE). Unlike traditional regularization methods, the SRE regularizes the complex target model via…

Statistics Theory · Mathematics 2025-03-18 Weihao Li , Dongming Huang

Visualisation methods help in the discovery of characteristics that might not have been apparent using mathematical models and summary statistics. However, visualisation methods have not received much attention in demography, with the…

Applications · Statistics 2018-01-26 Han Lin Shang

Nonlinear dimension reduction methods provide a low-dimensional representation of high-dimensional data by applying a Nonlinear transformation. However, the complexity of the transformations and data structures can create wildly different…

Parallel coordinate plots (PCPs) are among the most useful techniques for the visualization and exploration of high-dimensional data spaces. They are especially useful for the representation of correlations among the dimensions, which…

Human-Computer Interaction · Computer Science 2016-09-20 Takayuki Itoh , Ashnil Kumar , Karsten Klein , Jinman Kim

Generative models are popular for medical imaging tasks such as anomaly detection, feature extraction, data visualization, or image generation. Since they are parameterized by deep learning models, they are often sensitive to distribution…

Machine Learning · Computer Science 2025-03-25 Miguel López-Pérez , Marco Miani , Valery Naranjo , Søren Hauberg , Aasa Feragen

Gene expression estimation from pathology images has the potential to reduce the RNA sequencing cost. Point-wise loss functions have been widely used to minimize the discrepancy between predicted and absolute gene expression values.…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Kazuya Nishimura , Haruka Hirose , Ryoma Bise , Kaito Shiku , Yasuhiro Kojima

Data visualisation is a key tool in data mining for understanding big datasets. Many visualisation methods have been proposed, including the well-regarded state-of-the-art method t-Distributed Stochastic Neighbour Embedding. However, the…

Neural and Evolutionary Computing · Computer Science 2020-01-29 Andrew Lensen , Bing Xue , Mengjie Zhang

Building an effective Machine Learning (ML) model for a data set is a difficult task involving various steps. One of the most important steps is to compare generated substantial amounts of ML models to find the optimal one for the…

Machine Learning · Computer Science 2021-04-16 Jianlong Zhou , Weidong Huang , Fang Chen

Real data often contain anomalous cases, also known as outliers. These may spoil the resulting analysis but they may also contain valuable information. In either case, the ability to detect such anomalies is essential. A useful tool for…

Machine Learning · Statistics 2021-01-13 Peter J. Rousseeuw , Mia Hubert

When faced with new data, we often conduct a cluster analysis to obtain a better understanding of the data's structure and the archetypical samples present in the data. This process often includes visualization of the data, either as a way…

Applications · Statistics 2026-04-06 Justin Lin , Julia Fukuyama

The collection of large, complex datasets has become common across a wide variety of domains. Visual analytics tools increasingly play a key role in exploring and answering complex questions about these large datasets. However, many…

Human-Computer Interaction · Computer Science 2020-06-19 David Borland , Wenyuan Wang , Jonathan Zhang , Joshua Shrestha , David Gotz

It is well known that correlations in microarray data represent a serious nuisance deteriorating the performance of gene selection procedures. This paper is intended to demonstrate that the correlation structure of microarray data provides…

Applications · Statistics 2007-12-18 Lev Klebanov , Andrei Yakovlev

Causal representation learning (CRL) models aim to transform high-dimensional data into a latent space, enabling interventions to generate counterfactual samples or modify existing data based on the causal relationships among latent…

Machine Learning · Computer Science 2026-03-19 Alireza Sadeghi , Wael AbdAlmageed

Reinforcement learning (RL) experiments have notoriously high variance, and minor details can have disproportionately large effects on measured outcomes. This is problematic for creating reproducible research and also serves as an obstacle…

Machine Learning · Computer Science 2022-02-08 Johan Bjorck , Carla P. Gomes , Kilian Q. Weinberger

Random ordinary differential equations (RODEs), i.e. ODEs with random parameters, are often used to model complex dynamics. Most existing methods to identify unknown governing RODEs from observed data often rely on strong prior knowledge.…

Numerical Analysis · Mathematics 2020-06-04 Junyu Liu , Zichao Long , Ranran Wang , Jie Sun , Bin Dong

Taking projections of high-dimensional data is a common analytical and visualisation technique in statistics for working with high-dimensional problems. Sectioning, or slicing, through high dimensions is less common, but can be useful for…

Computation · Statistics 2021-03-17 Ursula Laa , Dianne Cook , German Valencia

The use of Hilbert curves to visualize massive vector of data is revisited following previous authors. The Hilbert curve mapping preserves locality and makes meaningful representation of the data. We call such visualization as Hilbert…

Data Analysis, Statistics and Probability · Physics 2015-11-30 E. Estevez-Rams , C. Perez-Davidenko , B. Aragón Fernández , R. Lora-Serrano

In many modern applications, including analysis of gene expression and text documents, the data are noisy, high-dimensional, and unordered--with no particular meaning to the given order of the variables. Yet, successful learning is often…

Methodology · Statistics 2008-07-25 Ann B. Lee , Boaz Nadler , Larry Wasserman

We present angle-uniform parallel coordinates, a data-independent technique that deforms the image plane of parallel coordinates so that the angles of linear relationships between two variables are linearly mapped along the horizontal axis…

Graphics · Computer Science 2023-04-12 Kaiyi Zhang , Liang Zhou , Lu Chen , Shitong He , Daniel Weiskopf , Yunhai Wang