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Anthea Monod
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Anthea Monod
  • Home
  • Bio
  • Research
    • Papers
    • Awards & Fellowships
  • Group
  • Talks & Travel
  • Academic Service & Activities
  • Teaching
  • Opportunities at Imperial
  • More
    • Home
    • Bio
    • Research
      • Papers
      • Awards & Fellowships
    • Group
    • Talks & Travel
    • Academic Service & Activities
    • Teaching
    • Opportunities at Imperial

 Papers

Preprints:

  • Holes in Latent Space: Topological Signatures Under Adversarial Influence
    Joint with Aideen Fay, Inés García-Redondo, Qiquan Wang, and Haim Dubossarsky (41 pages)

  • Metric Graph Kernels via the Tropical Torelli Map
    Joint with Yueqi Cao (20 pages)

  • Computing the Tropical Abel–Jacobi Transform and Tropical Distances for Metric Graphs
    Joint with Yueqi Cao (51 pages) [Code]

  • A Topological Gaussian Mixture Model for Bone Marrow Morphology in Leukaemia
    Joint with Qiquan Wang, Anna Song, Antoniana Batsivari, and Dominique Bonnet (40 pages) [Code]

  • Tropical Expressivity of Neural Networks
    Joint with Paul Lezeau, Thomas Walker,  Yueqi Cao, and Shiv Bhatia (33 pages)

  • Probability Metrics for Tropical Spaces of Different Dimensions
    Joint with Roan Talbut, Daniele Tramontano, Yueqi Cao, and Mathias Drton (29 pages)

  • Approximating Persistent Homology for Large Datasets
    Joint with Yueqi Cao (25 pages)

Completed/Published:

  • Tropical Gradient Descent
    Roan Talbut and Anthea Monod
    Journal of Global Optimization, to appear. [Code]

  • Tropical Geometry of Phylogenetic Tree Space: A Statistical Perspective
    Anthea Monod, Bo Lin, Ruriko Yoshida, and Qiwen Kang
    Vietnam Journal of Mathematics – Special Issue in Memory of Andreas Dress, to appear. [Code]

  • Confidence Bands for Multiparameter Persistence Landscapes
    Inés García-Redondo, Anthea Monod, and Qiquan Wang
    Proceedings of the Seventh International Conference on Geometric Science of Information (GSI'25), to appear. [Code]

  • Tropical Fréchet Means
    Bo Lin, Kamillo Ferry, Carlos Améndola, Anthea Monod, and Ruriko Yoshida
    Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC 2025), to appear. [Code]

  • Generalized Morse Theory of Distance Functions to Surfaces for Persistent Homology
    Anna Song, Ka Man Yim, and Anthea Monod
    Advances in Applied Mathematics, 166:102857 (2025). [arXiv][Code]
    https://doi.org/10.1016/j.aam.2025.102857

  • A Geometric Condition for Uniqueness of Fréchet Means of Persistence Diagrams
    Yueqi Cao and Anthea Monod
    Computational Geometry, 128:102162 (2024). [arXiv][Code]
    https://doi.org/10.1016/j.comgeo.2024.102162

  • On the Limitations of Fractal Dimension as a Measure of Generalization
    Charlie Tan, Inés García-Redondo, Qiquan Wang, Michael M. Bronstein, and Anthea Monod
    Advances in Neural Information Processing Systems 38 (NeurIPS 2024). [arXiv][OpenReview][Code]

  • Stability for Inference with Persistent Homology Rank Functions
    Qiquan Wang, Inés García-Redondo, Pierre Faugère, Gregory Henselman-Petrusek, and Anthea Monod
    Computer Graphics Forum – Proceedings of the Eurographics Symposium on Geometry Processing 2024, 43(5):e15142 (2024). [arXiv][Code]
    https://doi.org/10.1111/cgf.15142

  • Fast Topological Signal Identification and Persistent Cohomological Cycle Matching
    Inés García-Redondo, Anthea Monod, and Anna Song
    Journal of Applied and Computational Topology, 8:695–726 (2024). [arXiv][Code]
    https://doi.org/10.1007/s41468-024-00179-4

  • Wavelet-Based Density Estimation for Persistent Homology
    Konstantin Häberle, Barbara Bravi, and Anthea Monod
    SIAM/ASA Journal on Uncertainty Quantification, 12(2):347–376 (2024). [arXiv][Code]
    https://doi.org/10.1137/23M1573811

  • Topological Community Detection: A Sheaf-Theoretic Approach
    Arne Wolf and Anthea Monod
    Studies in Computational Intelligence – Complex Networks and Their Applications XII: Proceedings of the 12th International Conference on Complex Networks and Their Applications, 1142:29–42 (2024). [arXiv][Code]
    https://doi.org/10.1007/978-3-031-53499-7_3

  • Rewiring Networks for Graph Neural Network Training Using Discrete Geometry
    Jakub Bober, Anthea Monod, Emil Saucan, and Kevin N. Webster
    Studies in Computational Intelligence – Complex Networks and Their Applications XII: Proceedings of the 12th International Conference on Complex Networks and Their Applications, 1141:225–236 (2024). [arXiv][Code]
    https://doi.org/10.1007/978-3-031-53468-3_19

  • k-Means Clustering for Persistent Homology
    Yueqi Cao, Prudence Leung, and Anthea Monod
    Advances in Data Analysis and Classification, https://doi.org/10.1007/s11634-023-00578-y (2024). [arXiv][Code]

  • An Invitation to Tropical Alexandrov Curvature – Dedicated to Bernd Sturmfels on the occasion of his 60th birthday
    Carlos Améndola and Anthea Monod
    Algebraic Statistics, 14(2):181–214 (2023). [arXiv][Code]
    https://doi.org/10.2140/astat.2023.14.181

  • Topological Information Retrieval with Dilation-Invariant Bottleneck Comparative Measures
    Yueqi Cao, Anthea Monod, Athanasios Vlontzos, Luca Schmidtke, and Bernhard Kainz
    Information and Inference: A Journal of the IMA, 12(3):1964–1996 (2023). [arXiv][Code]
    https://doi.org/10.1093/imaiai/iaad022

  • Learning Linear Non-Gaussian Polytree Models
    Daniele Tramontano, Anthea Monod, and Mathias Drton
    Proceedings of the 38th Conference on Uncertainty in Artificial Intelligence (UAI 2022) PMLR, 180:1960–1969 (2022). [arXiv]

  • Tropical Geometric Variation of Phylogenetic Tree Shapes
    Bo Lin, Anthea Monod, and Ruriko Yoshida
    Discrete & Computational Geometry, 68:817–849 (2022). [arXiv]
    https://doi.org/10.1007/s00454-022-00410-y

  • Curved Markov Chain Monte Carlo for Network Learning
    John Sigbeku, Emil Saucan, and Anthea Monod
    Studies in Computational Intelligence – Complex Networks and Their Applications X: Proceedings of The 10th International Conference on Complex Networks and Their Applications, 1073:461–473 (2022). [arXiv]
    https://doi.org/10.1007/978-3-030-93413-2_39

  • Tropical Optimal Transport and Wasserstein Distances
    Wonjun Lee, Wuchen Li, Bo Lin, and Anthea Monod
    Information Geometry – Special Issue on Optimal Transport, 5:247–287 (2021). [Code][arXiv]
    https://doi.org/10.1007/s41884-021-00046-6

  • Linking transcriptomic and imaging data defines features of a favorable tumor immune microenvironment and identifies a combination biomarker for primary melanoma
    Robyn D. Gartrell-Corrado, Andrew X. Chen, Emanuelle M. Rizk, Douglas K. Marks, Margaret H. Bogardus, Thomas D. Hart, Andrew M. Silverman, Claire-Audrey Y. Bayan, Grace G. Finkel, Luke W. Barker, Kimberly M. Komatsubara, Richard D. Carvajal, Basil A. Horst, Rui Chang, Anthea Monod, Raúl Rabadán, and Yvonne M. Saenger
    Cancer Research, 80(5):1078–1087 (2020).
    https://doi.org/10.1158/0008-5472.CAN-19-2039

  • Predicting Clinical Outcomes in Glioblastoma: An Application of Topological and Functional Data Analysis
    Lorin Crawford, Anthea Monod, Andrew X. Chen, Sayan Mukherjee, and Raúl Rabadán
    Journal of  the American Statistical Association, 115(531):1139–1150 (2020). [Code][arXiv]
    https://doi.org/10.1080/01621459.2019.1671198

  • Tropical Sufficient Statistics for Persistent Homology
    Anthea Monod, Sara Kališnik, Juan Ángel Patiño-Galindo, and Lorin Crawford
    SIAM Journal on Applied Algebra and Geometry, 3(2):337–371 (2019). [Code][arXiv]
    https://doi.org/10.1137/17M1148037

  • Linking Transcriptomic Features of the Melanoma Tumor Environment
    Andrew X. Chen, Robyn D. Gartrell, Douglas K. Marks, Thomas D. Hart, Emanuelle M. Rizk, Anthea Monod, Raúl Rabadán, and Yvonne M. Saenger
    Cancer Immunology Research, 7(2):B005 (2019).
    https://doi.org/10.1158/2326-6074.CRICIMTEATIAACR18-B005

  • Quantitative Compositional and Spatial Analysis of Tumor Microenvironment (TME) in Primary Melanoma
    Robyn D. Gartrell, Andrew X. Chen, Douglas K. Marks, Thomas D. Hart, Gen Li, Alan Wu, Yan Lu, Camden L. Esancy, Zoë Blake, Bret Taback, Raúl Rabadán, Howard L. Kaufman, Charles G. Drake, Basil Horst, Anthea Monod, and Yvonne M. Saenger
    Cancer Research, 78(13):2091 (2018).
    https://doi.org/10.1158/1538-7445.AM2018-2091

  • Quantitative Analysis of Immune Infiltrates in Primary Melanoma
    Robyn D. Gartrell, Douglas K. Marks, Thomas D. Hart, Gen Li, Danielle R. Davari, Alan Wu, Zoë Blake, Yan Lu, Kayleigh N. Askin, Anthea Monod, Camden L. Esancy, Edward C. Stack, Dan Tong Jia, Paul M. Armenta, Yichun Fu, Daisuke Izaki, Bret Taback, Raúl Rabadán, Howard L. Kaufman, Charles G. Drake, Basil A. Horst, and Yvonne M. Saenger
    Cancer Immunolology Research, 6(4): 481–493 (2018).
    https://doi.org/10.1158/2326-6066.CIR-17-0360

  • Estimating Thresholding Levels for Random Fields via Euler Characteristics
    Robert J. Adler, Kevin Bartz, Samuel C. Kou, and Anthea Monod
    arXiv:1704.08562 (2017).

  • Random Effects Modeling and the Zero-Inflated Poisson Distribution
    Anthea Monod
    Communications in Statistics: Theory & Methods, 43(4): 664–680 (2014). [Code]
    https://doi.org/10.1080/03610926.2013.814782

  • Modeling Count Panel Data with a Zero-Inflated Poisson Model
    Anthea Monod
    Quaderni di Statistica, 14: 173–176 (2012).

  • Generalized Estimating Equations for Zero-Inflated Spatial Count Data
    Anthea Monod
    Procedia Environmental Sciences, 7: 281–286 (2011).
    https://doi.org/10.1016/j.proenv.2011.07.049

Theses

  • PhD Dissertation: A Quasi-Likelihood Approach to Zero-Inflated Spatial Count Data. EPFL Thesis No. 5442 (2012)

  • MSc Thesis: An Analysis on Count Panel Data Using a Zero-Inflated Poisson Model. University of Neuchâtel, Institute of Statistics (2007)

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