🍩 Database of Original & Non-Theoretical Uses of Topology
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Applications
- 2d images (1)
- 2d networks (1)
- 2d object shapes (1)
- 3d architecture (1)
- 3d surface classification (1)
- acridine derivatives (1)
- actin cytoskeleton (1)
- additive manufacturing (2)
- adhd (4)
- adolescence (1)
- age prediction (1)
- agent based models (2)
- agriculture (5)
- ai security (2)
- airline networks (1)
- airway inflammation (1)
- alkanes (1)
- alzheimer (4)
- amorphous materials (3)
- amorphous solids (1)
- analytical chemistry (1)
- angiogenesis (1)
- angiography (1)
- animal behavior (5)
- animals (2)
- anisotropic filtration (1)
- anthropology (1)
- antibiotic resistance (1)
- apple (1)
- arrhythmia (1)
- asthma (4)
- astrophysics (9)
- atmospheric physics (1)
- atmospheric science (3)
- atom probe tomography (1)
- atomic analysis (3)
- atomic properties (1)
- atomistic configuration (1)
- autism (1)
- autism spectrum behavior (2)
- autoencoder (1)
- automated diagnostics (1)
- automated system (1)
- aviation (1)
- backdoor attacks (1)
- bacteria (2)
- barley seeds (1)
- barrett hand (1)
- base stations (1)
- binary classifier (1)
- bioinformatics (10)
- biological flow networks (1)
- biological models (1)
- biological pathways (1)
- biology (28)
- biology:emergence (1)
- biology:evo-devo (1)
- biology:gene expression (1)
- biology:insect behavior (1)
- biology:morphogenesis (1)
- biology:mouse (1)
- biology:protein expression (1)
- biomarkers discovery (1)
- biomedical engineering (1)
- biomedicine (3)
- biomolecular dynamics (1)
- biophysical chemistry (2)
- biophysics (8)
- birth defect (1)
- bitcoin (1)
- blockchain (2)
- blood vessels (1)
- botany (6)
- brain behavior (1)
- brain connectivity (5)
- brain development (1)
- brain injury (1)
- brain mapping (1)
- brain models (1)
- brain network (7)
- brain networks (1)
- brain organisation (1)
- brain structure-function (8)
- brain-computer interface (1)
- breast cancer (7)
- c. elegans (1)
- caging grasp (1)
- cancer (11)
- cancer subtyping (1)
- cardiac segmentation (1)
- cardiology (3)
- cardiomyopathy (1)
- cell recombination (1)
- cellular biology (2)
- cellular network (1)
- chatter detection (3)
- chemical engineering (3)
- chemistry (9)
- chemometrics (1)
- chromosome mapping (1)
- chromosome structure (1)
- chronic wound (1)
- circulatory system (1)
- classification (6)
- classification model (1)
- classification neural networks (1)
- classifying map (1)
- climate science (1)
- clinical phenotypes (1)
- clouds distribution (1)
- coalescent theory (1)
- coauthorship (1)
- coenzyme-binding (1)
- cognition (1)
- collaboration networks (1)
- collective behavior (4)
- combustion (2)
- community detection (2)
- community ecology (1)
- complex fracture network (1)
- complex systems (1)
- computational biology (2)
- computational geometry (1)
- computer vision (3)
- condensed matter (8)
- confinement (1)
- congenital heart defects (1)
- connectome (3)
- contagion dynamics (1)
- contagion maps (1)
- control flow (1)
- convolutional neural networks (3)
- coordination dynamics (1)
- copy number aberrations (1)
- coral reef (1)
- cosmic background radiation (1)
- cosmology (9)
- coverage (4)
- covid-19 (3)
- crack formation (1)
- cranberry (1)
- crowd localization (1)
- cryo‐electron microscopy (1)
- cryptocurrencies (1)
- crystal nucleation (1)
- crystal structure (7)
- crystallography (5)
- cybersecurity (2)
- cyclo-octane (1)
- cyclomatic complexity (1)
- cytokines (1)
- data analysis (5)
- data visualization (2)
- deconfinement (1)
- deep learning (1)
- dense glass (1)
- dense prediction (1)
- dexterous manipulators (1)
- diabetes (3)
- diagnose (1)
- differential equation (2)
- differential testing (2)
- digit recognition (2)
- digital images (1)
- digital pathology (1)
- disease modeling (1)
- disease subtyping (3)
- disease survelliance (2)
- distance perception (1)
- dna (5)
- dopamine pathway (1)
- drosophila melanogaster (1)
- drug (1)
- drug discovery (1)
- drug repurposing (1)
- dryland ecosystem (1)
- dynamic graphs (1)
- dynamical systems (5)
- early universe (1)
- eccentricity (3)
- eccentricity fault (1)
- ecological network (1)
- ecology (2)
- education (2)
- electric machine (1)
- electromagnetism (1)
- electrostatics (1)
- emotion (1)
- endoscopy (1)
- engineering (2)
- enviornmental science (1)
- epidemiology (3)
- epigenetics (1)
- epilepsy (1)
- epithelial tissues (3)
- equity market (1)
- escherichia coli (1)
- evolution (1)
- evolution of nonlinear systems (1)
- facial recognition (1)
- fault detection (2)
- fauna (1)
- feature extraction (1)
- feature selection (2)
- fermentation (1)
- fibromyalgia (1)
- fibrosis (1)
- filamentous fungus (1)
- finacial crashes (3)
- finance (5)
- fine-grained 3d segmentation (1)
- fingerprint classification problem (1)
- fingerprint identification (1)
- flash crash (1)
- flock behavior (1)
- flood (1)
- flood early warning systems (1)
- flow (1)
- flow cytometry (1)
- flow dynamics (1)
- fluid dynamics (2)
- fmri (3)
- folding (1)
- football (1)
- frame fields (1)
- fullerene molecule (1)
- functional brain networks (1)
- functional connectivity (2)
- functional data analysis (1)
- games (1)
- gan (1)
- gas (1)
- gas agitated reactors (1)
- gene coexpression network (2)
- gene expression (8)
- gene regulation (2)
- generative model (1)
- genetic linkage (1)
- genetic recombination (3)
- genetics (5)
- genomics (6)
- geography (2)
- geoinformatics (1)
- geology (3)
- geometric morphometrics (1)
- gerrymandering (1)
- glass (3)
- gleason patterns (1)
- global development (1)
- granular media (1)
- granular packing system (1)
- graph classification (8)
- health care (4)
- heart development (1)
- heating systems (1)
- herbarium (1)
- high energy physics (2)
- high-dimensional data (3)
- high-order connectivity (1)
- hip oa (1)
- hippocampus (2)
- histology (2)
- human behavior (1)
- human biology (1)
- human genome (1)
- hydraulic modeling (1)
- hydrodynamics (1)
- hydrogen-bonding network (2)
- hyperscectral remote sensing (1)
- hyperspectral imagery (1)
- hyperspectral imaging (1)
- hypnotizability (1)
- hypothesis testing (2)
- image analysis (21)
- image classification (8)
- image morphing attacks (1)
- image processing (3)
- image retrival (1)
- image segmentation (1)
- images (1)
- immune-system (1)
- impact (1)
- industry (37)
- industry 4.0 (1)
- industry:additive manufacturing (1)
- industry:chatter (3)
- industry:chemical processes (1)
- industry:cyber-physical systems (1)
- industry:defect (1)
- industry:demand forecasting (1)
- industry:design (1)
- industry:equipment degradation (1)
- industry:fault detection (2)
- industry:fault identification (1)
- industry:gasoline production (1)
- industry:machine maintenance (2)
- industry:machining process (1)
- industry:manufacturing (4)
- industry:medicine manufacturing (1)
- industry:metal (1)
- industry:milling (2)
- industry:mining (1)
- industry:pharmaceutical (1)
- industry:porosity detection (1)
- industry:pulse detection (1)
- industry:robotic (1)
- industry:semiconductor (1)
- industry:semiconductor manufacturing (1)
- industry:shape detection (1)
- industry:slt (1)
- industry:steel (1)
- industry:system-level test (1)
- industry:tool wear (1)
- industry:wafer map (1)
- infection (5)
- inflorescence (1)
- influenza (2)
- integration methods (1)
- internet of things (1)
- ion aggregation (1)
- iron-ore (1)
- knee osteoarthritis (1)
- knowledge acquisition (1)
- knowledge networks (1)
- kuramoto oscillator (1)
- language learning (1)
- large-dimensional data (1)
- large-scale structure of universe (1)
- lattice gauge theory (1)
- leaf shape (2)
- liquid structure (1)
- liquids (2)
- literature analysis (1)
- local binary pattern (1)
- lung cancer (1)
- machine learning (47)
- malaria (1)
- malus domestica (1)
- manifold learning (1)
- manufacturing (4)
- marine biology (1)
- mass spectrometry (1)
- material flow (1)
- material physics (5)
- material science (13)
- materials characterization (1)
- materials genome (1)
- mechanical networks (1)
- medical imaging (2)
- medical research (1)
- medical services (1)
- medicine (97)
- medicine:alzheimer (1)
- medicine:automated diagnostics (1)
- medicine:cancer (6)
- medicine:cardiocirculatory system (1)
- medicine:cardiology (1)
- medicine:cardiovascular (1)
- medicine:cytometry (1)
- medicine:drug (1)
- medicine:ent (1)
- medicine:fmri (2)
- medicine:herbal (1)
- medicine:histopathology (1)
- medicine:leukemia (2)
- medicine:liver (1)
- medicine:lungs disease (2)
- medicine:oral health (1)
- medicine:pathology (2)
- medicine:radiology (1)
- medicine:t cells (1)
- medicine:tumor classification (1)
- medicine:tumor grading (1)
- meiosis (1)
- melanomas (1)
- memory (1)
- mental illness (1)
- mesoscale connectome (1)
- mesoscale physics (1)
- metabolism (2)
- metagenome (1)
- metastability (1)
- meteorology (1)
- microbe identification (1)
- microbiology (1)
- microbiome dynamics (1)
- microscopic structure (1)
- microscopy (1)
- missing data (1)
- modelling (2)
- models testing (1)
- molecular aggregation (1)
- molecular biology (3)
- molecular dynamics (6)
- molecular phenotyping (1)
- molecular structure (2)
- molecule classification (2)
- morphology (4)
- morphometrics (2)
- motion (4)
- motion planning (1)
- motor current signature analysis (1)
- mouse brain (1)
- movie (1)
- multiphase mixing (1)
- multiple myeloma (1)
- multivariate data (1)
- music (2)
- nanoinformatics (1)
- nanoporous material (3)
- nanoscale physics (2)
- nanostructures (2)
- neoplasm (2)
- networked data (1)
- networks (11)
- neural circuits (1)
- neural coding (2)
- neural network (10)
- neuroblastoma (1)
- neurology (22)
- neuronal morphologies (2)
- neuronal shape (1)
- neurons (5)
- neuroscience (11)
- non-linear dimension reduction (1)
- nongalactic astrophysics (2)
- object classification (2)
- object motion (1)
- obstructive sleep apnea (1)
- occlusion (1)
- oceanography (1)
- odometry (1)
- oil (1)
- on-surface synthesis (1)
- oncology (1)
- online engagement (1)
- orientation (2)
- oscillators (1)
- osteoarthritis (2)
- oxide glasses (1)
- packing (1)
- pad (1)
- parkinson (1)
- parkinson’s disease (1)
- patent statistics (1)
- patient similarity (1)
- patient similarity network (1)
- pattern detection (1)
- pattern recognition (6)
- patterns (1)
- personalized medicine (1)
- phase transition (4)
- phenotype prediction (1)
- phenotype variation (1)
- philology (1)
- phylogenetic analysis (1)
- phylogenetics (6)
- physics (7)
- physiology (1)
- place cells (3)
- planar energy-bounded cage (1)
- planning (1)
- planning under uncertainty (1)
- plant morphology (3)
- plant roots (1)
- plasma diagnostics (1)
- plasma flows (1)
- player performance (1)
- point process (1)
- politics (2)
- polymer (1)
- population genetics (1)
- populations and evolution (3)
- pore configuration (4)
- pore heterogeneity (1)
- porous structures (1)
- postoperative delirium (1)
- predictive model (1)
- prevention of disaster (1)
- primary sclerosing cholangitis (1)
- probability (3)
- process monitoring (1)
- programming (1)
- progression analysis of disease (1)
- prostate cancer (3)
- protein (11)
- protein binding (2)
- protein classification (1)
- protein compressability (1)
- protein configuration (1)
- protein domain classification (1)
- protein evolution (1)
- protein flexibility (2)
- protein folding (9)
- protein identification (1)
- protein interaction maps (1)
- protein sequence (1)
- protein structure-function (1)
- protein-protein interaction network (1)
- psycology (2)
- pulmonary embolism (1)
- qcd (1)
- quantitative biology (7)
- quantum chromodynamics (1)
- quantum gas (1)
- quantum physics (4)
- radar (1)
- radiology (2)
- raman spectroscopy (2)
- reccomandation system (1)
- recombination (1)
- reconstruction (1)
- reef resilience (1)
- resilience (1)
- rgb images (2)
- rna flexibility analysis (1)
- rna-sequencing (1)
- robot kinematics (5)
- robot path planning (1)
- robotic swarm (1)
- robotics (7)
- root system (3)
- rough surfaces (1)
- saccharomyces cerevisiae (1)
- sand pack recognition (1)
- segmentation (3)
- self-organized behavior (1)
- semiconductor (1)
- sensor networks (3)
- sensors (4)
- sensory receptor cells (1)
- severe asthma (1)
- shape characterization (1)
- shape classification (2)
- shape prediction (1)
- shape recognition (6)
- signal analysis (1)
- signal detection (1)
- signal processing (6)
- single-molecule localization microscopy (1)
- sintered steel (1)
- size characterization (1)
- skin cancer (1)
- skin lesion (2)
- smi (1)
- social interaction (1)
- social media (1)
- social network (2)
- social network graphs (1)
- software engineering (2)
- solid state physics (1)
- sonar (2)
- space perception (1)
- spacial map (1)
- spanish literature (1)
- spatial learning (1)
- spatial map (1)
- spatial relations analysis (2)
- spectral data analysis (2)
- spectroscopic imaging (1)
- spiderweb (1)
- spinal cord injury (1)
- sport (2)
- states of matter (1)
- statistical inference (2)
- statistical mechanics (1)
- statistics (2)
- step detection (1)
- stochastic robotics (1)
- stock market (1)
- stratification inference (1)
- street networks (1)
- structural abnormalities (1)
- structural biology (2)
- supervised learning (1)
- surface diffusion (1)
- surface finishing (2)
- surface texture (3)
- sustainable manufacturing (1)
- swarm behavor (1)
- symbolic dynamics (1)
- synchronization problem (1)
- systems biology (3)
- t cells (1)
- temporal networks (1)
- text classification (6)
- text mining (3)
- texture analysis (2)
- texture recognition (4)
- time management (1)
- time series classification (1)
- topography (1)
- trabeculae (1)
- traffic (1)
- trajectory (1)
- transcriptional regulation (1)
- transcriptome (2)
- transport process (1)
- transportation (1)
- traumatic brain injury (1)
- tree (3)
- trichoderma reesei (1)
- trigger sites (1)
- trojan attack (1)
- tumor (6)
- tumor classification (1)
- tumor vascular network (1)
- twitter (1)
- unfolded protein (1)
- urban geography (1)
- urbanism (2)
- vegetation patterns (1)
- vehicle position (1)
- vicsek model (1)
- video analysis (3)
- video frame shape (1)
- video identification (1)
- virus (1)
- visualization (3)
- vitis spp (1)
- volume data (1)
- voting (5)
- voxel-based morphometry (1)
- weather (1)
- word embedding (1)
- wounds (1)
- yeast cell cycle (1)
- zebrafish (1)
- zika virus (1)
Data
- (1)
- 2d data (1)
- 2d images (16)
- 2d slices (1)
- 3d fields (1)
- 3d fine-grained object (1)
- 3d grid (1)
- 3d images (6)
- 3d point cloud (1)
- 3d prints (1)
- 3d scan (1)
- 3d structure (1)
- 4d data (1)
- adjacency matrix (1)
- alkanes (1)
- animal behavior (2)
- apple (1)
- array (1)
- atomic configurations (6)
- bag of words (1)
- beads pack model (1)
- biopsy samples (1)
- blockchain (1)
- brain network (3)
- cell assemblies (2)
- cell counts (1)
- cells (3)
- cervical cancer (1)
- chaincode (1)
- circles (1)
- clinical information (2)
- coexistence holes (1)
- collective motion (1)
- computer programs (1)
- contact maps (1)
- coordinate-free data (4)
- coordinates data (1)
- copy number aberrations (1)
- correlation matrix (1)
- cosmic web (1)
- cosmological simulation (1)
- crop (1)
- crystal structures (1)
- crystalline tisc (1)
- crystals (1)
- density field (1)
- dermoscopic images (1)
- digitally reconstructed neurons (1)
- digraphs (1)
- directed network (1)
- dynamical system (4)
- ecg (1)
- echocardiography (1)
- ecological system (1)
- eeg (4)
- electric signals (4)
- electroencephalogram (2)
- fdg pet (3)
- field theory simulations (1)
- filamentary structures (1)
- financial market (3)
- fingerprint ink-roll images (1)
- flow cytometry (1)
- flow network (2)
- fmri (15)
- fusion simulation (1)
- galaxy data (2)
- gas absorbtion (1)
- gas agitated reactors (1)
- gdp (1)
- gene expression (11)
- genome (1)
- genomes (8)
- geographic data (1)
- geometric network (1)
- granular packings (1)
- graphs (12)
- grayscale images (10)
- grid cells (1)
- hi-c assay (1)
- hippocampal activity (1)
- human-activity classes (1)
- hydrogen bonding networks (1)
- iec 61499 projects (1)
- ihc (1)
- images (60)
- images:2d (20)
- images:2d:immunofluorescence (1)
- images:2d:microscopy (1)
- images:2d:tomography (1)
- images:2d:ultrasound (1)
- images:2d:wavefront set (1)
- images:2d:x-ray (1)
- images:3d (5)
- images:binary (1)
- images:colour (1)
- images:ct scans (4)
- images:ed (1)
- images:grayscale (12)
- images:grey scale (1)
- immunohistochemical data (1)
- interaction matrix (1)
- interstellar medium (ism) (1)
- labelled image (1)
- labelled image of segmented regions of cells in a packed tissue (1)
- landmarked video (1)
- lattice configurations (1)
- lattice field configurations (2)
- lemur molars (1)
- lesions (1)
- lfp (1)
- life expectancy (1)
- linked twisted map (1)
- local connectivity data (1)
- logs (1)
- loss landscape (1)
- magnetically coupled spinners (1)
- magnetohydrodynamic simulations (1)
- mammograms (1)
- maps (6)
- medial ganglionic eminence (mge) (1)
- meg (1)
- meshes (3)
- mesoscale network structures (1)
- metric space (3)
- microarrays (5)
- microbiomes (2)
- microscopy images (3)
- microtubule (1)
- mixtures (1)
- mlst (1)
- mobile phone data (1)
- molecular dynamic simulation (9)
- monatomic system (1)
- monte carlo simulation (1)
- motion capture (1)
- motion tracking (1)
- movie ratings (1)
- mr images (1)
- mra (1)
- mri (12)
- multi-qubit data set (1)
- multiscale coordinative structures (1)
- music fragment (2)
- networks (34)
- neural connectivity (2)
- neural networks (7)
- neuronal firing (1)
- neuronal network (3)
- neuronal trees (1)
- neurotrauma (1)
- nist trojai toolkit (1)
- nodes (1)
- oasis-3 (1)
- odometric sequence (1)
- order parameters (1)
- outline (1)
- particle distribution (1)
- patches of image (1)
- patents (2)
- pathology (1)
- persian poem (1)
- persistence diagrams (1)
- phase spaces (1)
- phenotypic data (2)
- place cells (1)
- point cloud (63)
- points sample from intersection manifolds (1)
- positional information (1)
- positron-emission tomography (1)
- probability distributions (2)
- probability vectors (1)
- projective space (1)
- protein stability (1)
- protein structures (6)
- proteins (14)
- quantum system (1)
- radiomic data set (2)
- random walk models (1)
- recommendation system (1)
- recording (1)
- regime structure (1)
- region of interest images (1)
- residues alpha carbon (1)
- resting-state fmri (1)
- retinal images (1)
- rna-seq (6)
- robotic swarms (1)
- rock images (1)
- rocklin designs (1)
- satellite image data (1)
- scalar fields (3)
- scanning probe microscopy (1)
- scientific model (1)
- segmented image (1)
- semantic feature networks (1)
- semimetric space (1)
- sensor (4)
- sensor data (1)
- shapes (1)
- sheet music (1)
- shrec 2014 dataset (1)
- signal (1)
- simplicial complexes (1)
- sliding window (2)
- smhe (1)
- smiles string (1)
- sonar echos (1)
- spatial information (1)
- spatial network (1)
- spectroscopy (2)
- spike train (3)
- spin configurations (2)
- static data (2)
- symptoms (1)
- synaptic transmission (1)
- temperature (3)
- textual document (7)
- tile scores (1)
- time series (35)
- time series:acoustic emission (1)
- time series:fmri (1)
- time series:sensor (3)
- time series:vibration data (1)
- time varying graph (1)
- time-domain (2)
- time-varying data (3)
- time-varying metric spaces (1)
- time-varying systems (1)
- tissue slides (2)
- token prices (1)
- topological space (1)
- topological structures (1)
- traffic speeds (1)
- transaction network (1)
- transactions (1)
- transcriptomic profiling (2)
- tree species (1)
- triangular mesh (1)
- turing (1)
- twin imaging studies (1)
- uiuc database (1)
- video (6)
- video frames (2)
- videos (1)
- viral genomic dataset (2)
- votes (3)
- voxel arrays (2)
- wafer map (2)
- weak lensing (2)
- weak lensing aperture mass maps (2)
- whole slide images (1)
- whole-exome dna-seq (1)
- x-ray diffraction (1)
- x-ray images (1)
- x-ray laminography (1)
- x-ray tomography (1)
- xy model (2)
- γh2ax formation (1)
Flavour
Tools
- abstract cellular complex (1)
- accumulated persistence function (1)
- active contours (1)
- alexandroff nerve (1)
- algorithm (4)
- alpha complexes (3)
- alpha filtration (2)
- alps statistic (2)
- assemblage theory (1)
- bag of words (1)
- barcode (15)
- barcode statistics (1)
- bayesian inference (2)
- berry curvature (1)
- betti 0 (1)
- betti curves (16)
- betti function (2)
- betti number distribution (1)
- betti number plot (1)
- betti numbers (20)
- betti pivot (1)
- betti sequences (1)
- bifiltration (1)
- bootstrap (1)
- bottleneck distance (5)
- cech complex (2)
- cell complex (1)
- centrality measure (1)
- characteristic path length (1)
- chirality (1)
- circular coordinates (1)
- circular parametrisation (1)
- classical topological properties (1)
- clifford algebras (1)
- clique topology (2)
- clustering (31)
- cnn (1)
- cohomology (2)
- configuration space (1)
- convolution networks (2)
- convolutional neural network (4)
- crocker plots (1)
- crocker stack (1)
- cubical complex (3)
- cubical complexes (1)
- cubical homology (1)
- cubical persistence (1)
- deep learning (2)
- degree centrality (1)
- delaunay complex (2)
- dendrogram (2)
- density (3)
- diffusion fréchet function (2)
- directed flag complex (1)
- directed networks (1)
- discrete morse complexes (1)
- discrete morse function (1)
- discrete morse theory (5)
- discretization (1)
- distance index h (1)
- distance matrix (1)
- dowker complex (3)
- dynamic time series (1)
- dynamic topic modeling (1)
- dynamics (3)
- edge collapsing (1)
- eiganvector centrality (1)
- electrostatic persistence (1)
- elliptical fourier descriptors (1)
- entropy (1)
- equivariant cohomology (1)
- euler characteristic (9)
- euler characteristic transform (2)
- euler curve transformation (1)
- evolutionary homology (1)
- exploratory graph analysis (1)
- face-vector (1)
- fibre bundle (2)
- filter metrics (2)
- filtration (6)
- finite topology (1)
- fourier coefficients (1)
- fractal dimension (1)
- functional data analysis (1)
- gauss linking integral (1)
- gaussian process regression (2)
- geometric flow (1)
- ghrist barcode (1)
- gradient boosting tree (1)
- graph (8)
- grassmann manifold (1)
- gromov–hausdorff distance (1)
- h 0 (2)
- h 1 (1)
- h 2 (1)
- hausdorff distance (2)
- hdbscan (4)
- heat maps (2)
- hierarchical clustering (3)
- hilbert function (1)
- hodge laplacian (1)
- hodge theory (2)
- homological bifurcation plot (1)
- homological scaffolds (2)
- homology (3)
- homology localization (1)
- hopf bifurcation (1)
- hurst exponents (1)
- hyperparameter optimization (1)
- hypothesis testing (1)
- image analysis (1)
- integrated persistent feature (1)
- interactive persistent homology (1)
- isomap (1)
- jaccard distance (1)
- jacobi sets (1)
- k theory (1)
- kernel (4)
- kernel density estimation (1)
- kernel embedding (1)
- kernels (1)
- klein bottle (1)
- knot (1)
- landscape complex (1)
- laplace-beltrami flow (1)
- line bundles (1)
- linear support vector machine (1)
- linking (1)
- lipschitz functions (1)
- local branch numbers (1)
- local circular coordinates (1)
- local homology (2)
- local persistent cohomology (1)
- localized persistent homology (2)
- logistic regression (3)
- machine learning (40)
- mapper (72)
- markov chain (1)
- matching distance (1)
- mayer-vietoris (1)
- merge tree (2)
- mesh reduction (2)
- metric (3)
- microbial evolution (1)
- minimal spanning tree (1)
- modularity (1)
- molecular dynamics simulation (1)
- molecular topological fingerprints (1)
- monomial equations (1)
- morse theory (2)
- morse-smale complex (1)
- multi-component persistent homology (1)
- multi-level persistent homology (1)
- multidimensional persistence (1)
- multidimensional persistent homology (1)
- multidimensional scaling (1)
- multilevel persistence (1)
- multiparameter persistence (3)
- multiresolution persistent homology (1)
- multivariate two-sample test (1)
- nearest neighbor graph (1)
- nerve (2)
- network (7)
- network diameter (1)
- network topology (2)
- neural network (4)
- neural network layer (1)
- node orders (1)
- noise (1)
- non-linear dynamics (1)
- nonlinear dimension reduction (1)
- octahedral group (1)
- omnimorph (1)
- pagerank (1)
- path homology (3)
- pca (2)
- periodicity (1)
- persgnn (1)
- persistence (9)
- persistence barcode (2)
- persistence binning (1)
- persistence curves (2)
- persistence diagram loss (1)
- persistence diagrams (43)
- persistence entropy (1)
- persistence images (14)
- persistence indicator functions (1)
- persistence landscape (13)
- persistence loss (1)
- persistence statistics (3)
- persistence weighted gaussian kernel (1)
- persistency charts (1)
- persistent betti numbers (3)
- persistent cohomology (3)
- persistent entropy (7)
- persistent homology (338)
- persistent homology:0 (1)
- persistent homology:betti curves (2)
- persistent homology:betti numbers (2)
- persistent homology:betti vector (1)
- persistent homology:cech (1)
- persistent homology:cubical complexes (6)
- persistent homology:height filtration (1)
- persistent homology:lower star filtration (1)
- persistent homology:persistence diagrams (11)
- persistent homology:persistence diagrams:carlsson coordinates (1)
- persistent homology:persistence diagrams:template functions (2)
- persistent homology:persistence images (4)
- persistent homology:persistence landscapes (1)
- persistent homology:persistent cycles (1)
- persistent homology:representative cycles (1)
- persistent homology:rips (14)
- persistent homology:sublevel sets (3)
- persistent homology:weighted rips (1)
- persistent laplacian (1)
- persistent local cohomology (1)
- persistent voids (1)
- point process (1)
- principal component analysis (4)
- random forest (3)
- ranked persistence vector (1)
- reeb graph (1)
- relative homology (1)
- riemannian framework (1)
- rips complex (1)
- rips filtration (1)
- salt and pepper noise (1)
- separable space (1)
- sheaf theory (4)
- sheaves (1)
- simplicial collapse (1)
- simplicial complex (6)
- simplicial complexes (1)
- simplicial laplacian operator (1)
- simplicial neural network (1)
- single-cell clustering (1)
- singularities (1)
- sliding windows (4)
- smooth euler characteristic transform (1)
- smurph kernel (1)
- spectral analysis (1)
- spectral features (1)
- spectral graph theory (1)
- ssvm (1)
- statistical inference (2)
- statistics (6)
- stochastic block models (1)
- stratified spaces (1)
- sublevelset persistent homology (1)
- superlevelset (1)
- supervised learning (1)
- symmetric difference distance (1)
- takens embedding (2)
- template function (1)
- time series (15)
- time varying graph (1)
- topological band theory (1)
- topological charge (1)
- topological complexity (1)
- topological coordinates (1)
- topological denoising (3)
- topological dimension (1)
- topological distances (1)
- topological feature tracking (1)
- topological graph layer (1)
- topological landscape (3)
- topological loss function (1)
- topological losses (1)
- topological morphology descriptor (1)
- topological morphology function (1)
- topological network (10)
- topological neuron synthesis (1)
- topological object representation (1)
- topological phases (1)
- total persistence (1)
- tournaments (1)
- tropical polynomials (1)
- two-parameters persistence (1)
- umap (10)
- vectorized betti sequence (1)
- vectorized persistent diagrams (1)
- vietoris-rips (2)
- wasserstein distance (9)
- wasserstein stability (1)
- weighted directed graph (1)
- weighted distance (1)
- weighted euler curve transformation (1)
- weighted persistent homology (2)
- winding numbers (1)
- witness complex (1)
- z2 classification (1)
- zigzag (4)
- zigzag persistence (3)
- ε-series of betti-numbers (1)
- ε-series of graph spectra (1)