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The Mapper algorithm, a technique within topological data analysis (TDA), constructs a simplified graphical representation of high-dimensional data to uncover its underlying shape and structural patterns. The algorithm has attracted…

A method based on orthogonal function series interpolation of the square root probability density to analyze higher dimensional scattered data is presented. The method is targeted for the use-case when the model and/or data are available…

数据分析、统计与概率 · 物理学 2022-03-01 K. Gellerstedt , J. Sjölin

In recent years, interesting materials have emerged which are only available as micron-scale flakes, and whose novel physics might be better understood through broadband microwave spectroscopy; examples include twisted bilayer graphene [1],…

介观与纳米尺度物理 · 物理学 2022-06-08 Antonio Levy , Neil Zimmerman

Small molecules in biological samples are studied to provide information about disease states, environmental toxins, natural product drug discovery, and many other applications. The primary window into the composition of small molecule…

机器学习 · 计算机科学 2023-05-08 Gennady Voronov , Rose Lightheart , Joe Davison , Christoph A. Krettler , David Healey , Thomas Butler

We present ScaleTrotter, a conceptual framework for an interactive, multi-scale visualization of biological mesoscale data and, specifically, genome data. ScaleTrotter allows viewers to smoothly transition from the nucleus of a cell to the…

图形学 · 计算机科学 2024-04-25 Sarkis Halladjian , Haichao Miao , David Kouřil , M. Eduard Gröller , Ivan Viola , Tobias Isenberg

Imaging through scattering and random media is an outstanding problem that to date has been tackled by either measuring the medium transmission matrix or exploiting linear correlations in the transmitted speckle patterns. However,…

光学 · 物理学 2022-04-07 Ilya Starshynov , Alex Turpin , Philip Binner , Daniele Faccio

With the rapid growth of modern technology, many large-scale biomedical studies have been/are being/will be conducted to collect massive datasets with large volumes of multi-modality imaging, genetic, neurocognitive, and clinical…

统计方法学 · 统计学 2018-03-07 Farouk S. Nathoo , Linglong Kong , Hongtu Zhu

A frequent task in exploratory data analysis consists in examining pairwise dependencies between data variables. Popular approaches include visualizing correlation or scatter plot matrices. However, both methods can be misleading. The…

应用统计 · 统计学 2022-04-04 Arturo Erdely , Manuel Rubio-Sanchez

Independence screening methods such as the two sample $t$-test and the marginal correlation based ranking are among the most widely used techniques for variable selection in ultrahigh dimensional data sets. In this short note, simple…

统计方法学 · 统计学 2020-11-17 Run Wang , Somak Dutta , Vivekananda Roy

Background: Coevolution within a protein family is often predicted using statistics that measure the degree of covariation between positions in the protein sequence. Mutual Information is a measure of dependence between two random variables…

种群与进化 · 定量生物学 2013-04-17 Russell J. Dickson , Gregory B. Gloor

Mass spectrometry, especially so-called tandem mass spectrometry, is commonly used to assess the chemical diversity of samples. The resulting mass fragmentation spectra are representations of molecules of which the structure may have not…

机器学习 · 计算机科学 2025-02-18 Niek de Jonge , Justin J. J. van der Hooft , Daniel Probst

The emergence of data-driven computational materials science offers unprecedented opportunities to explore complex material landscapes, complementing experimental research with the discovery of novel compounds. To enable these developments,…

材料科学 · 物理学 2026-04-30 Holger-Dietrich Saßnick , Joshua Edzards , Timo Reents , Caterina Cocchi

The 3D folding of a mammalian gene can be studied by a polymer model, where the chromatin fibre is represented by a semiflexible polymer which interacts with multivalent proteins, representing complexes of DNA-binding transcription factors…

New techniques in X-ray scattering science experiments produce large data sets that can require millions of high-performance processing hours per week of computation for analysis. In such applications, data is typically moved from X-ray…

分布式、并行与集群计算 · 计算机科学 2020-02-18 Justin M. Wozniak , Hemant Sharma , Timothy G. Armstrong , Michael Wilde , Jonathan D. Almer , Ian Foster

Many tasks require finding groups of elements in a matrix of numbers, symbols or class likelihoods. One approach is to use efficient bi- or tri-linear factorization techniques including PCA, ICA, sparse matrix factorization and plaid…

机器学习 · 计算机科学 2012-07-02 Inmar Givoni , Vincent Cheung , Brendan J. Frey

Large collections of high-dimensional data have become nearly ubiquitous across many academic fields and application domains, ranging from biology to the humanities. Since working directly with high-dimensional data poses challenges, the…

Thin and elongated filamentous structures, such as microtubules and actin filaments, often play important roles in biological systems. Segmenting these filaments in biological images is a fundamental step for quantitative analysis. Recent…

计算机视觉与模式识别 · 计算机科学 2026-04-01 Yi Liu , Yichi Zhang

The family of visibility algorithms were recently introduced as mappings between time series and graphs. Here we extend this method to characterize spatially extended data structures by mapping scalar fields of arbitrary dimension into…

数据分析、统计与概率 · 物理学 2017-09-13 Lucas Lacasa , Jacopo Iacovacci

Breast cancer is a health problem that affects mainly the female population. An early detection increases the chances of effective treatment, improving the prognosis of the disease. In this regard, computational tools have been proposed to…

计算机视觉与模式识别 · 计算机科学 2022-03-01 Steve Tsham Mpinda Ataky , Alessandro Lameiras Koerich

As interactive web-based geovisualization becomes increasingly vital across disciplines, there is a growing need for open-source frameworks that support dynamic, multi-attribute spatial analysis and accessible design. This paper introduces…