Brain chains as topological signatures for Alzheimer’s disease Christian GoodbrakeDavid BeersAlain Goriely OriginalPaper Open access 26 April 2024
Algorithmic reconstruction of the fiber of persistent homology on cell complexes Jacob LeygonieGregory Henselman-Petrusek OriginalPaper Open access 18 April 2024
Detection of small holes by the scale-invariant robust density-aware distance (RDAD) filtration Chunyin SiuGennady SamorodnitskyAndrey Yao OriginalPaper 29 March 2024
Torsion-weighted spanning acycle entropy in cubical lattices and Mahler measures Yasuaki HiraokaTomoyuki Shirai OriginalPaper 24 February 2024
Convolutional persistence transforms Yitzchak Elchanan SolomonPaul Bendich OriginalPaper 21 February 2024
Poincaré duality for generalized persistence diagrams of (co)filtrations Amit PatelTatum Rask OriginalPaper 19 February 2024
Pseudospheres: combinatorics, topology and distributed systems Luis Alberto OriginalPaper Open access 10 February 2024
Non-existing and ill-behaved coequalizers of locally ordered spaces Pierre-Yves CoursolleEmmanuel Haucourt OriginalPaper 05 February 2024
Quantum persistent homology Bernardo AmeneyroVasileios MaroulasGeorge Siopsis OriginalPaper 31 January 2024
Large deviation principle for persistence diagrams of random cubical filtrations Shu KanazawaYasuaki HiraokaKenkichi Tsunoda OriginalPaper 25 January 2024
Topological and metric properties of spaces of generalized persistence diagrams Peter BubenikIryna Hartsock OriginalPaper 23 January 2024
Move schedules: fast persistence computations in coarse dynamic settings Matthew PiekenbrockJose A. Perea OriginalPaper Open access 20 January 2024
Local behavior of the Eden model on graphs and tessellations of manifolds Dongming Merrick HuaFedor ManinTianyi Wang OriginalPaper Open access 18 December 2023
Largest nearest-neighbour link and connectivity threshold in a polytopal random sample Mathew D. PenroseXiaochuan YangFrankie Higgs OriginalPaper Open access 16 December 2023
Defining logical obstruction with fixpoints in epistemic logic Susumu Nishimura OriginalPaper 14 November 2023
Generalization of graph network inferences in higher-order graphical models Yicheng FeiXaq Pitkow OriginalPaper Open access 13 November 2023
The topology of randomized symmetry-breaking distributed computing Pierre FraigniaudRan GellesZvi Lotker OriginalPaper 13 November 2023
Rigorous computation in dynamics based on topological methods for multivector fields Donald WoukengDamian SadowskiTomasz Kapela OriginalPaper Open access 04 November 2023
Yarn ball knots and faster computations Dror Bar-NatanItai Bar-NatanNancy Scherich OriginalPaper Open access 28 October 2023 Pages: 175 - 192
Random simple-homotopy theory Bruno BenedettiCrystal LaiFrank H. Lutz OriginalPaper Open access 28 October 2023
Spherical coordinates from persistent cohomology Nikolas C. SchonsheckStefan C. Schonsheck OriginalPaper 21 October 2023 Pages: 149 - 173
Multivariate central limit theorems for random clique complexes Tadas TemčinasVidit NandaGesine Reinert OriginalPaper Open access 21 October 2023
Finding the homology of manifolds using ellipsoids Sara KališnikDavorin Lešnik OriginalPaper Open access 10 October 2023 Pages: 193 - 238
Persistent cup product structures and related invariants Facundo MémoliAnastasios StefanouLing Zhou OriginalPaper Open access 07 October 2023 Pages: 93 - 148
Hypergraph co-optimal transport: metric and categorical properties Samir ChowdhuryTom NeedhamYoujia Zhou OriginalPaper 30 September 2023
On the nodal structures of random fields: a decade of results Igor Wigman OriginalPaper Open access 30 September 2023
Large simplicial complexes: universality, randomness, and ampleness Michael Farber OriginalPaper Open access 16 September 2023
Sliding window persistence of quasiperiodic functions Hitesh GakharJose A. Perea OriginalPaper 05 September 2023 Pages: 55 - 92
Vietoris thickenings and complexes are weakly homotopy equivalent Patrick Gillespie OriginalPaper 02 September 2023 Pages: 35 - 53
GIST: distributed training for large-scale graph convolutional networks Cameron R. WolfeJingkang YangAnastasios Kyrillidis OriginalPaper Open access 14 August 2023
Representing fields without correspondences: the lifted Euler characteristic transform Henry KirveslahtiSayan Mukherjee OriginalPaper 04 August 2023 Pages: 1 - 34
A flexible PageRank-based graph embedding framework closely related to spectral eigenvector embeddings Disha ShurYufan HuangDavid F. Gleich OriginalPaper 21 July 2023
Vietoris–Rips metric thickenings of the circle Michael Moy OriginalPaper 06 July 2023 Pages: 831 - 877
On the persistent homology of almost surely \(C^0\) stochastic processes Daniel Perez OriginalPaper 05 July 2023 Pages: 879 - 906
Geometry of the matching distance for 2D filtering functions Marc EthierPatrizio FrosiniFrancesca Tombari OriginalPaper Open access 22 June 2023 Pages: 815 - 830
Geometric characterization of the persistence of 1D maps Ranita BiswasSebastiano Cultrera di MontesanoMorteza Saghafian OriginalPaper Open access 17 June 2023
A directed persistent homology theory for dissimilarity functions David MéndezRubén J. Sánchez-García OriginalPaper Open access 02 June 2023 Pages: 771 - 813
Heat diffusion distance processes: a statistically founded method to analyze graph data sets Etienne Lasalle OriginalPaper 18 May 2023
Vietoris–Rips complexes of metric spaces near a metric graph Sushovan Majhi OriginalPaper 15 May 2023 Pages: 741 - 770
Constructible sheaves and functions up to infinity Pierre Schapira OriginalPaper 10 May 2023 Pages: 707 - 739
Symmetric configuration spaces of linkages David BlancNir Shvalb OriginalPaper 08 May 2023 Pages: 527 - 569
Stable volumes for persistent homology Ippei Obayashi OriginalPaper Open access 04 May 2023 Pages: 671 - 706
On the homology language of HDA models of transition systems Thomas Kahl OriginalPaper Open access 04 May 2023
Persistent extensions and analogous bars: data-induced relations between persistence barcodes Hee Rhang YoonRobert GhristChad Giusti OriginalPaper Open access 15 April 2023 Pages: 571 - 617
