Search Results - "computational topology"

Geometric Embeddability of Complexes is ∃ℝ-complete.

Authors: Abrahamsen, Mikkel Kleist, Linda Miltzow, Tillmann

Source: Journal of the ACM. Feb2025, Vol. 72 Issue 1, p1-26. 26p.

Subject Terms: *STATISTICAL decision making, POLYNOMIAL time algorithms, COMPUTATIONAL topology, COMPUTATIONAL complexity, NP-hard problems

Arrange and Traverse Algorithm for Computation of Reeb Spaces of Piecewise Linear Maps.

Authors: Hristov, Petar Sakurai, Daisuke Carr, Hamish et al.

Source: Computer Graphics Forum. Aug2025, Vol. 44 Issue 5, p1-17. 17p.

Subject Terms: *MULTIVARIATE analysis, *DATA structures, COMPUTATIONAL topology, COMBINATORICS, TOPOLOGICAL spaces, PIECEWISE affine systems, TETRAHEDRAL coordinates

Fast Algorithms for Minimum Homology Basis.

Authors: Dhar, Amritendu Natarajan, Vijay Rathod, Abhishek

Source: Discrete & Computational Geometry. Jul2025, Vol. 74 Issue 1, p49-77. 29p.

Subject Terms: *COMPUTATIONAL topology, *MATRIX multiplications, *ALGORITHMS, *EXPONENTS

Randomness of Shapes and Statistical Inference on Shapes via the Smooth Euler Characteristic Transform.

Authors: Meng, Kun Wang, Jinyu Crawford, Lorin et al.

Source: Journal of the American Statistical Association. Mar2025, Vol. 120 Issue 549, p498-510. 13p.

Subject Terms: *FUNCTIONAL analysis, COMPUTATIONAL topology, EULER characteristic, ALGEBRAIC fields, SOBOLEV spaces

Predicting Affinity Through Homology (PATH): Interpretable binding affinity prediction with persistent homology.

Authors: Long, Yuxi Donald, Bruce R.

Source: PLoS Computational Biology. 6/27/2025, Vol. 21 Issue 6, p1-27. 27p.

Subject Terms: *PREDICTION algorithms, *COMPUTATIONAL topology, *DRUG discovery, *MACHINE learning, *PROTEIN engineering, *DEEP learning

Latent Space Modeling of Hypergraph Data.

Authors: Turnbull, Kathryn Lunagómez, Simón Nemeth, Christopher et al.

Source: Journal of the American Statistical Association. Dec2024, Vol. 119 Issue 548, p2634-2646. 13p.

Subject Terms: *STATISTICS, *MARKOV chain Monte Carlo, COMPUTATIONAL topology, BAYESIAN field theory, DATA modeling

The Harmonic Model:First Principles Theory of Everything

Authors: Sowersby, Scott

Subject Terms: Volition, Electric, Electric vehicles, Photons/history, Computational Biology/history, Math, Quarks, Crystal Arthropathies/etiology, Atomic, Microscopy, Atomic Force/trends, Mathematical model, Absorptiometry, Photon, Crystal Arthropathies/blood, Nuclear Reactors, Mathematics/economics, Chromium Isotopes, Phonons/classification, Raphe Nuclei/abnormalities, Silicon/analysis, Electric Organ, Higgs bosons, Electric power generation, Computational Biology/instrumentation, Particle accelerator, Computational Biology/education, Music Therapy/ethics, Volition/physiology, Electric Injuries, Silicon/poisoning, Computational Biology/trends, Phonons/history, Septal Nuclei/cytology, Protons, Cerebellar Nuclei/microbiology, Calcium Isotopes, Music Therapy/classification, Crystal Arthropathies/classification, Microscopy, Atomic Force/classification, Music Therapy/education, Spectrophotometry, Atomic/history, Physics/instrumentation, Computational Chemistry/education, FOS: Electrical engineering, electronic engineering, information engineering, Crystal Arthropathies/mortality, Lactic Acid, Cerebellar Nuclei/physiology, Particle Physics, Computational Biology/classification, Particle separator, Heat (physics), Physics/education, Computational Biology, Music Therapy/instrumentation, Models, Theoretical, Vestibular Nuclei, Acidosis, Lactic/classification, Cerebellar Nuclei/virology, Raphe Nuclei/chemistry, Electric batteries, Ringer's Solution, Computational neuroscience, Music/psychology, Silicon/standards, Isotopes/poisoning, Particle Accelerators, Mathematics/ethics, Health Physics, Photons/adverse effects, Music Therapy/trends, Music Therapy/economics, Protons/history, Electric vehicle, Computational Chemistry/instrumentation, Z bosons, Soliton, Music Therapy/methods, Photons/classification, Crystal Arthropathies/nursing, Spectrophotometry, Atomic/economics, Solar physics, Isotopes/history, Music/history, Mathematical method, Raphe Nuclei/physiopathology, Isotope, Crystal Arthropathies/parasitology, Discrete mathematics, Alpha Particles, Computational Chemistry/history, Quantum field theory, Beyond the Standard Model, Cerebellar Nuclei, Computational Chemistry/ethics, Crystal Arthropathies/enzymology, Computational Biology/ethics, Computational Chemistry/standards, Zinc Isotopes, Theoretical physics, Microscopy, Atomic Force/ethics, Isotopes/agonists, Silicon, Crystal Arthropathies/therapy, Submitochondrial Particles, Atomic Bomb Survivors/history, Surgical Attire, Nuclear, Photons/therapeutic use, Fermions, Music Therapy, Phonons/therapeutic use, Mathematics/trends, Lattice, Electric Conductivity, W bosons, Applied mathematics, Atomic Bomb Survivors, Elementary Particle Interactions, Isotopes/analysis, Transport (physics), Mesoscopic physics, Potassium Isotopes, Electric Fish, Acidosis, Lactic/complications, Electric energy, Music Therapy/history, Crystal Arthropathies, Computational Chemistry/methods, Quantum physics, Crystal Arthropathies/pathology, Microscopy, Atomic Force, Signal Recognition Particle/biosynthesis, Computational topology, Phonons/adverse effects, Crystal Arthropathies/urine, Mathematical Computing, Crystal Arthropathies/microbiology, Microscopy, Atomic Force/standards, Mesons, Spectrophotometry, Atomic/classification, Burns, Electric/complications, Particle Accelerators/history, Physics, Particle physics, Burns, Electric, Crystal Arthropathies/psychology, Computational Chemistry/trends, Particle Accelerators/economics, Mathematics/education, Spectrophotometry, Atomic/veterinary, Mathematical physics, Thalamic Nuclei, Grand Unification Theory, Septal Nuclei/parasitology, Crystal Arthropathies/virology, Spectrophotometry, Atomic/trends, Popular music studies, Saline Solution, Music Therapy/legislation & jurisprudence, Trigeminal Nuclei/abnormalities, Elementary Particles, Particle Accelerators/classification, Crystal Arthropathies/epidemiology, Trigeminal Nuclei/cytology, Electric Countershock, Spectrophotometry, Atomic/standards, Electric Capacitance, Isotopes/pharmacology, Spectrophotometry, Atomic/instrumentation, FOS: Mathematics, Crystal Arthropathies/diagnosis, Electrical engineering, electronic engineering, information engineering, Particle Size, Computational intelligence, Crystal Arthropathies/immunology, Spectrophotometry, Atomic/methods, Computational, Pure mathematics, Phosphorus Isotopes, Mathematical Concepts, Computational Biology/methods, Crystal Arthropathies/surgery, Electric Stimulation, Beta Particles, Laser physics, Electric line, Music Therapy/statistics & numerical data, Signal Recognition Particle, Mathematics, Particle Accelerators/instrumentation, Silicon/toxicity, Isotopes/chemistry, Protons/classification, Computational creativity, Protons/adverse effects, Nuclear physics, Particle, Cerebellar Nuclei/ultrastructure, Computational fluid dynamics, Electric battery, Single particle characterisation, Trigeminal Nuclei, Isotopes/immunology, Isotopes/standards, Computational Chemistry, Isotopes, Iodine Isotopes, Crystal, Electric Impedance, Atomic Bomb Survivors/classification, Theory of Everything, Gallium Isotopes, Septal Nuclei/immunology, Raphe Nuclei/pathology, Computational science, Solid particle, Music Therapy/organization & administration, Iron Isotopes, Electric power, Cobalt Isotopes, Physics/methods, Spectrophotometry, Atomic/ethics, Phonons, Acidosis, Lactic, Computational Biology/organization & administration, Electric Wiring, Cerebellar Nuclei/surgery, Silicon/urine, Mathematical analysis, Gold Isotopes, Crystals, Atomic physics, Plasma physics, Mathematics/standards, Crystal Arthropathies/metabolism, Computational Chemistry/classification, Music Therapy/standards, Mathematics/history, Particle Accelerators/standards, Photons, Computational Biology/economics, Spectrophotometry, Atomic, Volition/classification, Silicon/metabolism, Physics/standards, Leptons, Nuclei, Computational Chemistry/economics, Microscopy, Atomic Force/instrumentation, Mathematical logic, Raphe Nuclei, Septal Nuclei, Mathematics/classification, Music

Distributed Augmentation, Hypersweeps, and Branch Decomposition of Contour Trees for Scientific Exploration

Authors: Li, Mingzhe Carr, Hamish Rübel, Oliver et al.

Source: IEEE Transactions on Visualization and Computer Graphics. 31(1)

Subject Terms: 46 Information and Computing Sciences (for-2020), 4606 Distributed Computing and Systems Software (for-2020), 4607 Graphics, Augmented Reality and Games (for-2020), branch decomposition, Contour trees, parallel algorithms, computational topology, computational topology, topological data analysis, topological data analysis, computational topology, topological data analysis, 0801 Artificial Intelligence and Image Processing (for), 0802 Computation Theory and Mathematics (for), Software Engineering (science-metrix), 46 Information and computing sciences (for-2020)

File Description: application/pdf

Access URL: https://escholarship.org/uc/item/3sk2v71s
https://escholarship.org/content/qt3sk2v71s/qt3sk2v71s.pdf

A Topological-Indicators-Based k-Means Clustering Algorithm and Its Application in Time Series Data: A Case Study on Sea Level Variability in Peninsular Malaysia

Authors: Zixin Lin Nur Fariha Syaqina Zulkepli Mohd Shareduwan Bin Mohd Kasihmuddin et al.

Source: IEEE Access, Vol 13, Pp 46514-46533 (2025)

Subject Terms: Machine learning, computational topology, sea level variability, Electrical engineering. Electronics. Nuclear engineering, environmental sustainability, TK1-9971

Access URL: https://doaj.org/article/857f0febe46b46d6ab7248b1f2b45ec5

Research on Modeling and Efficiency Enhancement of Complex Corporate Financial Networks Based on Topological Computing Optimization.

Authors: Guo, Biao Li, Mengxu

Source: Journal of Combinatorial Mathematics & Combinatorial Computing; Dec2025, Vol. 127b, p3867-3886, 20p

Subject Terms: CORPORATE finance, COMPUTATIONAL topology, ECONOMIC efficiency, PRINCIPAL components analysis, COMMUNICATION network analysis, ECONOMIC globalization, SOCIAL network theory

Topological data analysis in single cell biology.

Authors: Hernández-Lemus, Enrique

Source: Frontiers in Immunology; 2025, p1-17, 12p

Subject Terms: TOPOLOGICAL property, COMPUTATIONAL topology, SHAPE analysis (Computational geometry), CELL populations, TRANSCRIPTOMES, TISSUES, PROTEOMICS, UNICELLULAR organisms

Stereo Vision-Based Underground Muck Pile Detection for Autonomous LHD Bucket Loading.

Authors: Hennen, Emilia Pekarski, Adam Storoschewich, Violetta et al.

Source: Sensors (14248220); Sep2025, Vol. 25 Issue 17, p5241, 18p

Subject Terms: STEREO vision (Computer science), LOADERS (Machines), MINES & mineral resources, SPATIAL data structures, MULTISENSOR data fusion, AUTOMATED materials handling, COMPUTATIONAL topology

Universal quantum computation using Ising anyons from a non-semisimple topological quantum field theory.

Authors: Iulianelli, Filippo Kim, Sung Sussan, Joshua et al.

Source: Nature Communications; 8/5/2025, Vol. 16 Issue 1, p1-10, 10p

Subject Terms: QUANTUM computing, ANYONS, QUANTUM field theory, QUASIPARTICLES, COMPUTATIONAL topology, FAULT tolerance (Engineering)

A topological algorithm for the Fourier transform of Stokes data at infinity.

Authors: Douçot, Jean Hohl, Andreas

Source: Journal of the London Mathematical Society; Aug2025, Vol. 112 Issue 2, p1-45, 45p

Subject Terms: FOURIER transforms, ISOMORPHISM (Mathematics), COMPUTATIONAL topology, STOKES parameters, RIEMANN surfaces

On tri-topological spaces and their relations.

Authors: Oudetallah, Jamal Amourah, Ala Batiha, Iqbal et al.

Source: AIMS Mathematics; 2025, Vol. 10 Issue 8, p1-17, 17p

Subject Terms: TOPOLOGICAL spaces, TOPOLOGY, QUANTUM gravity, TOPOLOGICAL property, COMPACT spaces (Topology), COMPUTATIONAL topology

How large is the universe of RNA-like motifs? A clustering analysis of RNA graph motifs using topological descriptors.

Authors: Wang, Rui Schlick, Tamar

Source: PLoS Computational Biology; 7/15/2025, Vol. 21 Issue 7, p1-19, 19p

Subject Terms: NON-coding RNA, CLUSTERING algorithms, TOPOLOGICAL graph theory, COMPUTATIONAL topology, RNA analysis, GRAPH algorithms

The topology of representational geometry.

Authors: Brown, Shael Farivar, Reza

Source: Frontiers in Neuroscience; 2025, p1-15, 15p

Subject Terms: COMPUTATIONAL topology, SIMILARITY (Geometry), MACAQUES, DATA analysis, FUNCTIONAL magnetic resonance imaging

Remarks on fixed point assertions in digital topology, 10.

Authors: BOXER, LAURENCE

Source: Applied General Topology; 2025, Vol. 26 Issue 2, p853-869, 17p

Subject Terms: FIXED point theory, METRIC spaces, SCHOLARLY periodicals, DIGITAL images, ASSERTIONS (Logic), LOGIC, MATHEMATICAL functions, COMPUTATIONAL topology

MuST: multiple-modality structure transformation for single-cell spatial transcriptomics Open Access.

Authors: Zang, Zelin Li, Liangyu Xu, Yongjie et al.

Source: Briefings in Bioinformatics; Jul2025, Vol. 26 Issue 4, p1-18, 18p

Subject Terms: GENE expression, DEEP learning, COMPUTATIONAL topology, BIOLOGICAL research methodology, TRANSCRIPTOMES, STATISTICAL bias, MULTISENSOR data fusion, METADATA

Image Mining: Current Trends in Theory and Applications

Authors: Gurevich I. B. Moroni D. Pascali M. A. et al.

Source: Pattern Recognition and Image Analysis. 34:893-901

Subject Terms: Image representations, Artificial intelligence, Pattern recognition applications, Mathematical theory of pattern recognition, Descriptive image algebras, Image-mining, Image analysis, Mathematical theory of image analysis, Data science, Automation, Application problems, Image models, IAPR TC 16, Data mining, Image analysis applications, Computational topology, IMTA-IX-2024, Knowledge engineering, Image formalization space, ICPR-2024

File Description: application/pdf

Access URL: https://hdl.handle.net/20.500.14243/549501
https://link.springer.com/article/10.1134/S1054661824700834
https://doi.org/10.1134/S1054661824700834