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Phenomenological (P-type) bifurcations are qualitative changes in stochastic dynamical systems whereby the stationary probability density function (PDF) changes its topology. The current state of the art for detecting these bifurcations…

Algebraic Topology · Mathematics 2024-06-10 Sunia Tanweer , Firas A. Khasawneh

The recently developed "Data Set Diagonalization" method (DSD) is applied to measure compatibility of the data sets that are used to determine parton distribution functions (PDFs). Discrepancies among the experiments are found to be…

High Energy Physics - Phenomenology · Physics 2010-04-22 Jon Pumplin

A novel topological-data-analytical (TDA) method is proposed to distinguish, from noise, small holes surrounded by high-density regions of a probability density function. The proposed method is robust against additive noise and outliers.…

Statistics Theory · Mathematics 2024-04-02 Chunyin Siu , Gennady Samorodnitsky , Christina Lee Yu , Andrey Yao

Protein inverse folding aims to design an amino acid sequence that will fold into a given backbone structure, serving as a central task in protein design. Two main paradigms have been widely explored. Template-based methods exploit…

Machine Learning · Computer Science 2026-03-17 Yiran Zhu , Changxi Chi , Hongxin Xiang , Wenjie Du , Xiaoqi Wang , Jun Xia

The identification of novel drug-target (DT) interactions is a substantial part of the drug discovery process. Most of the computational methods that have been proposed to predict DT interactions have focused on binary classification, where…

Machine Learning · Statistics 2019-02-06 Hakime Öztürk , Elif Ozkirimli , Arzucan Özgür

High-throughput pooled resequencing offers significant potential for whole genome population sequencing. However, its main drawback is the loss of haplotype information. In order to regain some of this information, we present LDx, a…

Genomics · Quantitative Biology 2015-06-11 Alison F. Feder , Dmitri A. Petrov , Alan O. Bergland

Multiple technologies that measure expression levels of protein mixtures in the human body offer a potential for detection and understanding the disease. The recent increase of these technologies prompts researchers to evaluate the…

Machine Learning · Computer Science 2026-05-12 Michal Valko , Richard Pelikan , Miloš Hauskrecht

Persistent homology is a popular computational tool for analyzing the topology of point clouds, such as the presence of loops or voids. However, many real-world datasets with low intrinsic dimensionality reside in an ambient space of much…

Machine Learning · Computer Science 2024-11-01 Sebastian Damrich , Philipp Berens , Dmitry Kobak

Dimensionality Reduction (DR) is widely used for visualizing high-dimensional data, often with the goal of revealing expected cluster structure. However, such a structure may not always appear in the projections. Existing DR quality metrics…

Machine Learning · Computer Science 2025-09-05 Diede P. M. van der Hoorn , Alessio Arleo , Fernando V. Paulovich

Interacting, self-propelled particles such as epithelial cells can dynamically self-organize into complex multicellular patterns, which are challenging to classify without a priori information. Classically, different phases and phase…

Quantitative Methods · Quantitative Biology 2021-01-19 Dhananjay Bhaskar , William Y. Zhang , Ian Y. Wong

Simultaneous variable selection and statistical inference is challenging in high-dimensional data analysis. Most existing post-selection inference methods require explicitly specified regression models, which are often linear, as well as…

Methodology · Statistics 2026-03-19 Shangyuan Ye , Shauna Rakshe , Ye Liang

Motivation: Proteins are known to undergo conformational changes in the course of their functions. The changes in conformation are often attributable to a small fraction of residues within the protein. Therefore identification of these…

Biomolecules · Quantitative Biology 2011-10-31 Naoto Morikawa

The probability density function (PDF) plays a central role in statistical and machine learning modeling. Real-world data often deviates from Gaussian assumptions, exhibiting skewness and exponential decay. To evaluate how well different…

Computation · Statistics 2025-12-05 Shantanu Sarkar , Mousumi Sinha , Dexter Cahoy

We present a new approach for face recognition system. The method is based on 2D face image features using subset of non-correlated and Orthogonal Gabor Filters instead of using the whole Gabor Filter Bank, then compressing the output…

Computer Vision and Pattern Recognition · Computer Science 2015-03-13 Samir F. Hafez , Mazen M. Selim , Hala H. Zayed

We implement a total-energy minimization scheme to allow for relaxation of atomic positions in density functional calculations for two-dimensional (2D) systems using a mixed basis set. The basis functions consist of products of 2D plane…

Materials Science · Physics 2022-03-14 Chung-Yuan Ren , Yia-Chung Chang

We introduce a new computer aided detection and diagnosis system for lung cancer screening with low-dose CT scans that produces meaningful probability assessments. Our system is based entirely on 3D convolutional neural networks and…

Computer Vision and Pattern Recognition · Computer Science 2020-01-22 Onur Ozdemir , Rebecca L. Russell , Andrew A. Berlin

This paper proposes a new method for finding the highest predictive density set or region, within the heteroscedastic regression framework. This framework enjoys the property that any highest predictive density set is a translation of some…

Methodology · Statistics 2025-04-09 Max Sampson , Kung-Sik Chan

By providing new insights into the distribution of a protein's torsion angles, recent statistical models for this data have pointed the way to more efficient methods for protein structure prediction. Most current approaches have…

Applications · Statistics 2010-11-10 Kristin P. Lennox , David B. Dahl , Marina Vannucci , Ryan Day , Jerry W. Tsai

In recent years, mixup regularization has gained popularity as an effective way to improve the generalization performance of deep learning models by training on convex combinations of training data. While many mixup variants have been…

Machine Learning · Computer Science 2025-06-16 Yousef El-Laham , Niccolò Dalmasso , Svitlana Vyetrenko , Vamsi K. Potluru , Manuela Veloso

Learning from 3D protein structures has gained wide interest in protein modeling and structural bioinformatics. Unfortunately, the number of available structures is orders of magnitude lower than the training data sizes commonly used in…

Biomolecules · Quantitative Biology 2022-06-01 Pedro Hermosilla , Timo Ropinski