Random Walks on Simplicial Complexes and the Normalized Hodge 1-Laplacian

• PHLOWER leverages single-cell multimodal data to infer complex, multi-branching cell differentiation trajectories

  2025 Nature Methods article Biochemistry, Genetics and Molecular Biology Single-cell and spatial transcriptomics Open access

  9

  citations
• Faster Inference of Cell Complexes from Flows via Matrix Factorization

  2025 European Signal Processing Conference (EUSIPCO) conference-paper Computer Science Topological and Geometric Data Analysis

  0

  citations
• Topological Trajectory Classification and Landmark Inference on Simplicial Complexes

  2024 conference-paper Computer Science Topological and Geometric Data Analysis Open access

  0

  citations
• Cholesky-like Preconditioner for Hodge Laplacians via Heavy Collapsible Subcomplex

  2024 SIAM Journal on Matrix Analysis and Applications article Computer Science Quantum-Dot Cellular Automata

  0

  citations
• PHLOWER - Single cell trajectory analysis using Hodge Decomposition

  2024 bioRxiv (Cold Spring Harbor Laboratory) preprint Biochemistry, Genetics and Molecular Biology Cell Image Analysis Techniques Open access

  0

  citations
• Dirac signal processing of higher-order topological signals

  2023 New Journal of Physics article Computer Science Topological and Geometric Data Analysis Open access

  30

  citations
• What Are Higher-Order Networks?

  2023 SIAM Review article Physics and Astronomy Complex Network Analysis Techniques Open access

  401

  citations
• Signal Processing On Product Spaces

  2023 conference-paper Computer Science Topological and Geometric Data Analysis Open access

  6

  citations
• Higher-order signal processing with the Dirac operator

  2022 conference-paper Computer Science Topological and Geometric Data Analysis Open access

  8

  citations
• Signal Processing On Cell Complexes

  2022 ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) conference-paper Computer Science Topological and Geometric Data Analysis Open access

  30

  citations
• Hodgelets: Localized Spectral Representations of Flows On Simplicial Complexes

  2022 ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) conference-paper Computer Science Topological and Geometric Data Analysis Open access

  14

  citations
• Signal Processing on Simplicial Complexes

  2022 Understanding complex systems book-chapter Physics and Astronomy Complex Network Analysis Techniques

  21

  citations
• Simplicial Convolutional Filters

  2022 IEEE Transactions on Signal Processing article Computer Science Topological and Geometric Data Analysis Open access

  40

  citations
• Modularity and Dynamics on Complex Networks

  2021 Cambridge University Press eBooks book Physics and Astronomy Complex Network Analysis Techniques

  35

  citations
• Consensus dynamics on temporal hypergraphs

  2021 Physical review. E article Physics and Astronomy Opinion Dynamics and Social Influence Open access

  0

  citations
• Outlier Detection for Trajectories via Flow-embeddings

  2021 2021 55th Asilomar Conference on Signals, Systems, and Computers conference-paper Computer Science Topological and Geometric Data Analysis Open access

  7

  citations
• Finite Impulse Response Filters for Simplicial Complexes

  2021 European Signal Processing Conference (EUSIPCO) conference-paper Computer Science Topological and Geometric Data Analysis Open access

  31

  citations
• Signal processing on higher-order networks: Livin’ on the edge... and beyond

  2021 Signal Processing article Physics and Astronomy Complex Network Analysis Techniques Open access

  149

  citations
• Opinion Dynamics with Multi-body Interactions

  2021 Communications in computer and information science conference-paper Physics and Astronomy Opinion Dynamics and Social Influence Open access

  10

  citations
• Modelling non-linear consensus dynamics on hypergraphs

  2020 Journal of Physics Complexity article Physics and Astronomy Opinion Dynamics and Social Influence Open access

  47

  citations

20 results