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Dynamic graph-level embedding aims to capture structural evolution in networks, which is essential for modeling real-world scenarios. However, existing methods face two critical yet under-explored issues: Structural Visit Bias, where random…

Machine Learning · Computer Science 2025-08-22 Haodi Zhong , Liuxin Zou , Di Wang , Bo Wang , Zhenxing Niu , Quan Wang

Epithelial tissues play a fundamental role in various morphogenetic events during development and early embryogenesis. Although epithelial monolayers are often modeled as two-dimensional (2D) elastic surfaces, they distinguish themselves…

Soft Condensed Matter · Physics 2020-06-15 Benjamin Loewe , Francesco Serafin , Suraj Shankar , Mark J. Bowick , M. Cristina Marchetti

Understanding the structure of high-dimensional data is fundamental to neuroscience and other data-intensive scientific fields. While persistent homology effectively identifies basic topological features such as "holes," it lacks the…

Algebraic Topology · Mathematics 2025-07-16 Ekaterina S. Ivshina , Galit Anikeeva , Ling Zhou

To analyze the topological properties of the given discrete data, one needs to consider a continuous transform called filtration. Persistent homology serves as a tool to track changes of homology in the filtration. The outcome of the…

Optimization and Control · Mathematics 2024-10-08 Keunsu Kim , Jae-Hun Jung

Topological integral transforms have found many applications in shape analysis, from prediction of clinical outcomes in brain cancer to analysis of barley seeds. Using Euler characteristic as a measure, these objects record rich geometric…

Computational Geometry · Computer Science 2024-05-06 Vadim Lebovici , Steve Oudot , Hugo Passe

I show the assumed Bilayer structure of cell membranes is Topologically falsified by known aminophospholipid dynamics in metabolically-active, Far from Equilibrium cells. The sensitivity of lipid and cytoplasmic flows to temperature,…

Biological Physics · Physics 2011-11-09 J. T. Lofthouse

Machine learning approaches have been widely used for discovering the underlying physics of dynamical systems from measured data. Existing approaches, however, still lack robustness, especially when the measured data contain a large level…

Computational Engineering, Finance, and Science · Computer Science 2022-06-08 Zhiming Zhang , Yongming Liu

MET is a proto-oncogene whose somatic activation in non-small cell lung cancer leads to increased cell growth and tumor progression. The two major classes of MET alterations are gene amplification and exon 14 deletion, both of which are…

Computer Vision and Pattern Recognition · Computer Science 2022-03-31 Rohan P. Joshi , Bolesław L. Osinski , Niha Beig , Lingdao Sha , Kshitij Ingale , Martin C. Stumpe

Understanding complex phenomena often requires analyzing high-dimensional data to uncover emergent properties that arise from multifactorial interactions. Here, we present EMUSES (Emerging-properties Mapping Using Spatial Embedding…

Emerging Technologies · Computer Science 2024-06-21 Chris Foulon , Marcela Ovando-Tellez , Lia Talozzi , Maurizio Corbetta , Anna Matsulevits , Michel Thiebaut de Schotten

The root is an important organ of a plant since it is responsible for water and nutrient uptake. Analyzing and modelling variabilities in the geometry and topology of roots can help in assessing the plant's health, understanding its growth…

Graphics · Computer Science 2021-01-26 Guan Wang , Hamid Laga , Jinyuan Jia , Stanley J. Miklavcic , Anuj Srivastava

Human shape spaces have been extensively studied, as they are a core element of human shape and pose inference tasks. Classic methods for creating a human shape model register a surface template mesh to a database of 3D scans and use…

Computer Vision and Pattern Recognition · Computer Science 2024-06-24 Stephan Wenninger , Fabian Kemper , Ulrich Schwanecke , Mario Botsch

Electroencephalography (EEG) has emerged as a cost-effective and efficient tool to support neurologists in the detection of Alzheimer's Disease (AD). However, most existing approaches rely heavily on manual feature engineering or data…

Signal Processing · Electrical Eng. & Systems 2025-08-05 Yihe Wang , Nadia Mammone , Darina Petrovsky , Alexandros T. Tzallas , Francesco C. Morabito , Xiang Zhang

While generative models have shown promise in pediatric sleep analysis, the latent structure of their multimodal embeddings remains poorly understood. This work investigates session-wide diagnostic information contained in the sequences of…

Machine Learning · Computer Science 2026-05-15 Scott Ye , Harlin Lee

Tumor shape plays a critical role in influencing both growth and metastasis. We introduce a novel topological radiomic feature derived from persistent homology to characterize tumor shape, focusing on its association with time-to-event…

Methodology · Statistics 2025-12-08 Yuhyeong Jang , Tu Dan , Eric Vu , Chul Moon

With the advanced imaging technology, digital pathology imaging of tumor tissue slides is becoming a routine clinical procedure for cancer diagnosis. This process produces massive imaging data that capture histological details in high…

Applications · Statistics 2020-12-10 Esteban Fernández Morales , Cong Zhang , Guanghua Xiao , Chul Moon , Qiwei Li

The complex and dynamic crosstalk between tumour and immune cells results in tumours that can exhibit distinct qualitative behaviours - elimination, equilibrium, and escape - and intricate spatial patterns, yet share similar cell…

We propose a real-space formalism of the topological Euler class, which characterizes the fragile topology of two-dimensional systems with real wave functions. This real-space description is characterized by local Euler markers whose…

Mesoscale and Nanoscale Physics · Physics 2025-02-21 Dexin Li , Citian Wang , Huaqing Huang

Topological holography is a conjectured correspondence between the symmetry charges and defects of a $D$-dimensional system with the anyons in a $(D+1)$-dimensional topological order: the symmetry topological field theory (SymTFT).…

Strongly Correlated Electrons · Physics 2024-05-01 Rui Wen , Weicheng Ye , Andrew C. Potter

Soot is an important material with impacts that depend on particle morphology. Transmission electron microscopy (TEM) represents one of the most direct routes to qualitatively assess particle characteristics. However, producing quantitative…

Applied Physics · Physics 2022-02-01 Timothy A. Sipkens , Max Frei , Alberto Baldelli , P. Kirchen , Frank E. Kruis , Steven N. Rogak

Ultrasound-based risk stratification of thyroid nodules is a critical clinical task, but it suffers from high inter-observer variability. While many deep learning (DL) models function as "black boxes," we propose a fully automated,…

Image and Video Processing · Electrical Eng. & Systems 2025-11-18 Omar Abdelrazik , Mohamed Elsayed , Noorul Wahab , Nasir Rajpoot , Adam Shephard