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In this paper, we present novel variations of an earlier approach called homogeneous clustering algorithm for reducing dataset size. The intuition behind the approaches proposed in this paper is to partition the dataset into homogeneous…

Machine Learning · Computer Science 2022-08-30 Shril Mody , Janvi Thakkar , Devvrat Joshi , Siddharth Soni , Rohan Patil , Nipun Batra

High-energy physics detectors, images, and point clouds share many similarities in terms of object detection. However, while detecting an unknown number of objects in an image is well established in computer vision, even machine learning…

Data Analysis, Statistics and Probability · Physics 2020-09-29 Jan Kieseler

Motivation: Genomic data analyses such as Genome-Wide Association Studies (GWAS) or Hi-C studies are often faced with the problem of partitioning chromosomes into successive regions based on a similarity matrix of high-resolution,…

Statistics Theory · Mathematics 2019-02-06 Christophe Ambroise , Alia Dehman , Pierre Neuvial , Guillem Rigaill , Nathalie Vialaneix

Convolutional Neural Networks (CNNs) have achieved high accuracy for cardiac structure segmentation if training cases and testing cases are from the same distribution. However, the performance would be degraded if the testing cases are from…

Image and Video Processing · Electrical Eng. & Systems 2020-12-29 Jun Ma

Spatial relationships in multi-species data can indicate and affect system outcomes and behaviors, ranging from disease progression in cancer to coral reef resilience in ecology; therefore, quantifying these relationships is an important…

Molecular dynamics simulations yield large amounts of trajectory data. For their durable storage and accessibility an efficient compression algorithm is paramount. State of the art domain-specific algorithms combine quantization, Huffman…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-13 Jan Huwald , Stephan Richter , Peter Dittrich

Studies of disordered heterogeneous media and galaxy cosmology share a common goal: analyzing the distribution of particles at `microscales' to predict physical properties at `macroscales', whether for a liquid, composite material, or…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-11 Oliver H. E. Philcox , Salvatore Torquato

Principal Component Analysis (PCA) and other multi-variate models are often used in the analysis of "omics" data. These models contain much information which is currently neither easily accessible nor interpretable. Here we present an…

Genomics · Quantitative Biology 2021-11-18 Nordine Aouni , Luc Linders , David Robinson , Len Vandelaer , Jessica Wiezorek , Geetesh Gupta , Rachel Cavill

On the basis of a model system of pillars built of unit cubes, a two-component entropic measure for the multiscale analysis of spatio-compositional inhomogeneity is proposed. It quantifies the statistical dissimilarity per cell of the…

Statistical Mechanics · Physics 2015-05-13 Ryszard Piasecki

We introduce a new feature map for barcodes that arise in persistent homology computation. The main idea is to first realize each barcode as a path in a convenient vector space, and to then compute its path signature which takes values in…

Machine Learning · Statistics 2020-10-28 Ilya Chevyrev , Vidit Nanda , Harald Oberhauser

Clustering is a well-known and important problem with numerous applications. The graph-based model is one of the typical cluster models. In the graph model, clusters are generally defined as cliques. However, such an approach might be too…

Data Structures and Algorithms · Computer Science 2017-06-30 Ivan Bliznets , Nikolai Karpov

The success of Transformer in computer vision has attracted increasing attention in the medical imaging community. Especially for medical image segmentation, many excellent hybrid architectures based on convolutional neural networks (CNNs)…

Image and Video Processing · Electrical Eng. & Systems 2022-07-26 Wentao Liu , Tong Tian , Weijin Xu , Huihua Yang , Xipeng Pan , Songlin Yan , Lemeng Wang

Feature selection refers to the process of selecting useful features for machine learning tasks, and it is also a key step for structural health monitoring (SHM). This paper proposes a fast feature selection algorithm by efficiently…

Machine Learning · Statistics 2024-09-11 Sikai Zhang , Tingna Wang , Keith Worden , Limin Sun , Elizabeth J. Cross

The high-dimensional feature space of the hyperspectral imagery poses major challenges to the processing and analysis of the hyperspectral data sets. In such a case, dimensionality reduction is necessary to decrease the computational…

Image and Video Processing · Electrical Eng. & Systems 2024-06-06 Mustafa Ustuner

Spatial transcriptomics (ST) enables the visualization of gene expression within the context of tissue morphology. This emerging discipline has the potential to serve as a foundation for developing tools to design precision medicines.…

Image and Video Processing · Electrical Eng. & Systems 2024-11-12 Shivam Kumar , Samrat Chatterjee

Calculation of near-neighbor interactions among high dimensional, irregularly distributed data points is a fundamental task to many graph-based or kernel-based machine learning algorithms and applications. Such calculations, involving…

Real networks often have severe degree heterogeneity, with the maximum, average, and minimum node degrees differing significantly. This paper examines the impact of degree heterogeneity on statistical limits of network data analysis.…

Statistics Theory · Mathematics 2024-07-24 Zheng Tracy Ke , Jingming Wang

Accurate predictions of pollutant concentrations at new locations are often of interest in air pollution studies on fine particulate matters (PM$_{2.5}$), in which data is usually not measured at all study locations. PM$_{2.5}$ is also a…

Applications · Statistics 2020-05-19 Phuong T. Vu , Timothy V. Larson , Adam A. Szpiro

Virtual histology is an emerging field in biomedicine that enables three-dimensional tissue visualization using X-ray micro-computed tomography. However, the method still lacks the specificity of conventional histology, in which parts of…

Determining effective elastic properties of rocks from their pore-scale digital images is a key goal of digital rock physics (DRP). Direct numerical simulation (DNS) of elastic behavior, however, incurs high computational cost; and…

Geophysics · Physics 2023-05-12 Rasool Ahmad , Mingliang Liu , Michael Ortiz , Tapan Mukerji , Wei Cai
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