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Topological Data Analysis (TDA) allows us to extract powerful topological and higher-order information on the global shape of a data set or point cloud. Tools like Persistent Homology or the Euler Transform give a single complex description…

Algebraic Topology · Mathematics 2025-11-04 Vincent P. Grande , Michael T. Schaub

Geometry and topology constitute complementary descriptors of three-dimensional shape, yet existing benchmark datasets primarily capture geometric information while neglecting topological structure. This work addresses this limitation by…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Prachi Kudeshia , Jiju Poovvancheri

Ovarian cancer remains one of the most lethal gynecological malignancies, largely due to late diagnosis and extensive heterogeneity across subtypes. Current diagnostic methods are limited in their ability to reveal underlying genomic…

Image and Video Processing · Electrical Eng. & Systems 2025-11-06 Gabriela Fernandes

In this project, we present a deep neural network (DNN)-based biophysics model that uses multi-scale and uniform topological and electrostatic features to predict protein properties, such as Coulomb energies or solvation energies. The…

Machine Learning · Computer Science 2026-03-16 Elyssa Sliheet , Md Abu Talha , Weihua Geng

Federated learning (FL) faces two structural tensions: gradient sharing enables data-reconstruction attacks, while non-IID client distributions degrade aggregation quality. We introduce PTOPOFL, a framework that addresses both challenges…

Machine Learning · Computer Science 2026-03-05 Kelly L Vomo-Donfack , Adryel Hoszu , Grégory Ginot , Ian Morilla

Motivation Protein fold recognition is an important problem in structural bioinformatics. Almost all traditional fold recognition methods use sequence (homology) comparison to indirectly predict the fold of a tar get protein based on the…

Machine Learning · Computer Science 2017-06-06 Jie Hou , Badri Adhikari , Jianlin Cheng

We present a machine learning approach that leverages persistent homology to classify bacterial flagellar motors into two functional states: rotated and stalled. By embedding protein structural data into a topological framework, we extract…

Biomolecules · Quantitative Biology 2025-12-19 Zakaria Lamine , Abdelatif Hafid , Mohamed Rahouti

Context-free and context-sensitive formal grammars are often regarded as more appropriate to model proteins than regular level models such as finite state automata and Hidden Markov Models. In theory, the claim is well founded in the fact…

Formal Languages and Automata Theory · Computer Science 2017-01-30 Witold Dyrka , François Coste , Olgierd Unold , Łukasz Culer , Agnieszka Kaczmarek

With the growing adoption of AI-based systems across everyday life, the need to understand their decision-making mechanisms is correspondingly increasing. The level at which we can trust the statistical inferences made from AI-based…

Machine Learning · Statistics 2024-04-15 Adam Spannaus , Heidi A. Hanson , Lynne Penberthy , Georgia Tourassi

Topological data analysis (TDA) is a rapidly evolving field in applied mathematics and data science that leverages tools from topology to uncover robust, shape-driven insights in complex datasets. The main workhorse is persistent homology,…

History and Overview · Mathematics 2025-07-29 Zhe Su , Xiang Liu , Layal Bou Hamdan , Vasileios Maroulas , Jie Wu , Gunnar Carlsson , Guo-Wei Wei

Understanding protein structure and function is crucial in biology. However, current computational methods are often task-specific and resource-intensive. To address this, we propose zero-shot Protein Question Answering (PQA), a task…

Machine Learning · Computer Science 2024-11-20 Eli M Carrami , Sahand Sharifzadeh

Topology optimization is used for the design of high-performance structures but remains fundamentally limited by its iterative nature, requiring repeated finite element analyses that prevent real-time deployment and large-scale design…

Computational Engineering, Finance, and Science · Computer Science 2026-04-07 Aaron Lutheran , Srijan Das , Alireza Tabarraei

Transformer-based methods have achieved state-of-the-art performance in time series forecasting (TSF) by capturing positional and semantic topological relationships among input tokens. However, it remains unclear whether existing…

Artificial Intelligence · Computer Science 2025-10-27 Jianqi Zhang , Wenwen Qiang , Jingyao Wang , Jiahuan Zhou , Changwen Zheng , Hui Xiong

We present a deep neural network-based approach to image quality assessment (IQA). The network is trained end-to-end and comprises ten convolutional layers and five pooling layers for feature extraction, and two fully connected layers for…

Computer Vision and Pattern Recognition · Computer Science 2017-12-11 Sebastian Bosse , Dominique Maniry , Klaus-Robert Müller , Thomas Wiegand , Wojciech Samek

Accurate bone strength prediction is essential for assessing fracture risk, particularly in aging populations and individuals with osteoporosis. Bone imaging has evolved from X-rays and DXA to clinical computed tomography (CT), and now to…

Quantitative Methods · Quantitative Biology 2025-12-04 John Rick Manzanares , Richard Leslie Abel , Paweł Dłotko

AI-based protein structure prediction pipelines, such as AlphaFold2, have achieved near-experimental accuracy. These advanced pipelines mainly rely on Multiple Sequence Alignments (MSAs) as inputs to learn the co-evolution information from…

Biomolecules · Quantitative Biology 2023-10-19 Xiaomin Fang , Fan Wang , Lihang Liu , Jingzhou He , Dayong Lin , Yingfei Xiang , Xiaonan Zhang , Hua Wu , Hui Li , Le Song

Neural networks encode inputs as high-dimensional vectors, known as representations, that capture how models process data by encoding task-relevant structure and semantics. Representation alignment refers to the degree to which different…

Computational Geometry · Computer Science 2026-05-26 Xinyuan Yan , Rita Sevastjanova , Mennatallah El-Assady , Bei Wang

Testing Deep Learning (DL)-based systems is an open challenge. Although it is relatively easy to find inputs that cause a DL model to misbehave, the grouping of inputs by features that make the DL model under test fail is largely…

Machine Learning · Computer Science 2026-03-25 Gianmarco De Vita , Nargiz Humbatova , Paolo Tonella

Protein contacts provide key information for the understanding of protein structure and function, and therefore contact prediction from sequences is an important problem. Recent research shows that some correctly predicted long-range…

Quantitative Methods · Quantitative Biology 2020-09-02 Siqi Sun

Learning sophisticated feature interactions behind user behaviors is critical in maximizing CTR for recommender systems. Despite great progress, existing methods have a strong bias towards low- or high-order interactions, or rely on…

Information Retrieval · Computer Science 2018-05-17 Huifeng Guo , Ruiming Tang , Yunming Ye , Zhenguo Li , Xiuqiang He , Zhenhua Dong
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