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We present a new tool for data analysis: persistence discrete homology, which is well-suited to analyze filtrations of graphs. In particular, we provide a novel way of representing high-dimensional data as a filtration of graphs using…

Algebraic Topology · Mathematics 2025-06-23 Chris Kapulkin , Nathan Kershaw

The Probability Hypothesis Density (PHD) filter, which is used for multi-target tracking based on sensor measurements, relies on the propagation of the first-order moment, or intensity function, of a point process. This algorithm assumes…

Probability · Mathematics 2020-12-11 Nicolas Privault , Timothy Teoh

Decoupled dataset distillation (DD) compresses large corpora into a few synthetic images by matching a frozen teacher's statistics. However, current residual-matching pipelines rely on static real patches, creating a fit-complexity gap and…

Computer Vision and Pattern Recognition · Computer Science 2026-03-18 Muquan Li , Hang Gou , Yingyi Ma , Rongzheng Wang , Ke Qin , Tao He

How and where proteins interface with one another can ultimately impact the proteins' functions along with a range of other biological processes. As such, precise computational methods for protein interface prediction (PIP) come highly…

Quantitative Methods · Quantitative Biology 2021-10-08 Alex Morehead , Chen Chen , Ada Sedova , Jianlin Cheng

Histology imaging is an essential diagnosis method to finalize the grade and stage of cancer of different tissues, especially for breast cancer diagnosis. Specialists often disagree on the final diagnosis on biopsy tissue due to the complex…

Computer Vision and Pattern Recognition · Computer Science 2019-09-17 Yongxiang Huang , Albert Chi-shing Chung

We propose a novel approach for predicting protein-peptide interactions using a bi-modal transformer architecture that learns an inter-facial joint distribution of residual contacts. The current data sets for crystallized protein-peptide…

Biomolecules · Quantitative Biology 2023-06-02 Justin Diamond , Markus Lill

It is possible to associate a highly constrained subset of relative 6 DoF poses between two 3D shapes, as long as the local surface orientation, the normal vector, is available at every surface point. Local shape features can be used to…

Computer Vision and Pattern Recognition · Computer Science 2018-08-29 Anders Glent Buch , Lilita Kiforenko , Dirk Kraft

Sequence-based protein homology detection has been extensively studied and so far the most sensitive method is based upon comparison of protein sequence profiles, which are derived from multiple sequence alignment (MSA) of sequence homologs…

Quantitative Methods · Quantitative Biology 2015-06-18 Jianzhu Ma , Sheng Wang , Zhiyong Wang , Jinbo Xu

We address protein structure prediction in the 3D Hydrophobic-Polar lattice model through two novel deep learning architectures. For proteins under 36 residues, our hybrid reservoir-based model combines fixed random projections with…

Machine Learning · Computer Science 2024-12-31 Giovanny Espitia , Yui Tik Pang , James C. Gumbart

Unlike covalent two-dimensional (2D) materials like graphene, 2D metals have non-layered structures due to their non-directional, metallic bonding. While experiments on 2D metals are still scarce and challenging, density-functional theory…

Materials Science · Physics 2023-01-06 Kameyab Raza Abidi , Pekka Koskinen

Comparison of data representations is a complex multi-aspect problem that has not enjoyed a complete solution yet. We propose a method for comparing two data representations. We introduce the Representation Topology Divergence (RTD),…

Machine Learning · Computer Science 2023-05-05 Serguei Barannikov , Ilya Trofimov , Nikita Balabin , Evgeny Burnaev

The discovery of novel drug target (DT) interactions is an important step in the drug development process. The majority of computer techniques for predicting DT interactions have focused on binary classification, with the goal of…

Machine Learning · Computer Science 2023-03-22 Partho Ghosh , Md. Aynal Haque

Protein interactions are important in a broad range of biological processes. Traditionally, computational methods have been developed to automatically predict protein interface from hand-crafted features. Recent approaches employ deep…

Machine Learning · Computer Science 2020-07-21 Yi Liu , Hao Yuan , Lei Cai , Shuiwang Ji

Topological Data Analysis (TDA) is an emergent field that aims to discover topological information hidden in a dataset. TDA tools have been commonly used to create filters and topological descriptors to improve Machine Learning (ML)…

Machine Learning · Computer Science 2022-02-07 Rolando Kindelan , José Frías , Mauricio Cerda , Nancy Hitschfeld

Recently developed deep learning techniques have significantly improved the accuracy of various speech and image recognition systems. In this paper we adapt some of these techniques for protein secondary structure prediction. We first train…

Machine Learning · Computer Science 2016-11-07 Akosua Busia , Jasmine Collins , Navdeep Jaitly

Intrinsically disordered proteins (IDPs) and multidomain proteins with flexible linkers show a high level of structural heterogeneity and are best described by ensembles consisting of multiple conformations with associated thermodynamic…

Biomolecules · Quantitative Biology 2021-12-13 F. Emil Thomasen , Kresten Lindorff-Larsen

While many good textbooks are available on Protein Structure, Molecular Simulations, Thermodynamics and Bioinformatics methods in general, there is no good introductory level book for the field of Structural Bioinformatics. This book aims…

Identification and alignment of three-dimensional folding of proteins may yield useful information about relationships too remote to be detected by conventional methods, such as sequence comparison, and may potentially lead to prediction of…

Quantitative Methods · Quantitative Biology 2017-01-10 Barış Ekim

In this paper, we describe a method for estimating the joint probability density from data samples by assuming that the underlying distribution can be decomposed as a mixture of product densities with few mixture components. Prior works…

Machine Learning · Statistics 2023-04-19 Pranava Singhal , Waqar Mirza , Ajit Rajwade , Karthik S. Gurumoorthy

Accurate prediction of protein-protein binding affinity is vital for understanding molecular interactions and designing therapeutics. We adapt Boltz-2, a state-of-the-art structure-based protein-ligand affinity predictor, for…

Machine Learning · Computer Science 2025-12-09 James King , Lewis Cornwall , Andrei Cristian Nica , James Day , Aaron Sim , Neil Dalchau , Lilly Wollman , Joshua Meyers