Research Articles

Published Articles

  • L. Torres, A. S. Blevins, D. S. Bassett, T. Eliassi-Rad. The why, how, and when of representations for complex systems. SIAM Review, 63:3, 435-485 (2021). [link]

  • S. McCabe, L. Torres, T. LaRock, S. A. Haque, C.-H. Yang, H. Hartle, and B. Klein. netrd: A library for network reconstruction and graph distances. Journal of Open Source Software (JOSS), 6(62): 2990. 2021. [link] [code]

  • L. Torres, K. S. Chan, H. Tong and T. Eliassi-Rad. Nonbacktracking Eigenvalues under Node Removal: X-Centrality and Targeted Immunization. SIAM Journal on Mathematics of Data Science (SIMODS), 3(2). 2021. [link] [code] [preprint]

  • S. Yu, L. Torres, S. Alfeld, T. Eliassi-Rad, Y. Vorobeychik. POTION: Optimizing Graph Structure for Targeted Diffusion. SDM'21. [link]

  • L. Torres, K. S. Chan, and T. Eliassi-Rad. GLEE: Geometric Laplacian Eigenmap Embedding. Journal of Complex Networks, Volume 8, Issue 2, April 2020, cnaa007. [link] [code]

  • L. Torres, P. Suárez-Serrato and T. Eliassi-Rad. Non-backtracking Cycles: Length Spectrum Theory and Graph Mining Applications. Appl Netw Sci (2019) 4: 41. [link] [code]

Preprints

  • L. Torres. Geometric multiplicity of unitary non-backtracking eigenvalues. Preprint. arXiv:2205.02004 (2022). [link]

  • J. Jost, R. Mulas, L. Torres. Spectral theory of the non-backtracking Laplacian for graphs. Preprint. arXiv:2203.10824 (2022). [link]

  • L. Torres. The Perron non-backtracking eigenvalue after node addition. Preprint. arXiv:2111.09037 (2021). [link]

  • L. Torres, T. Eliassi-Rad. Non-backtracking Spectrum: Unitary Eigenvalues and Diagonalizability. Preprint. arXiv:2007.13611 (2020). [link]

Academic Presentations

Invited Presentations

  • Perturbation of Non-Backtracking Eigenvalues: Centrality, Immunization, Diagonalizability. L. Torres. Minisymposium on Latest Advances in Spectral Linear Algebra in Network Science, at the SIAM Conference on Applied Linear Algebra (LA21) (online). May 2021. [slides]

  • Geometric aspects of mining complex networks. L. Torres. NetSci’20 Machine Learning satellite. Rome, Italy (online). September 2020. [slides] [video]

  • Higher order representations of complex networks. L. Torres. NetSci’20 HONS satellite panel discussion. Rome, Italy (online). September 2020.

  • Stopping Disease Spreading with Non-Backtracking Eigenvalues. L. Torres, K. S. Chan, H. Tong and T. Eliassi-Rad. ARL CRA Webinar, Penn State University. Boston, MA, USA. August 2020. [slides]

  • Stopping Disease Spreading with Non-Backtracking Eigenvalues. L. Torres, K. S. Chan, H. Tong and T. Eliassi-Rad. Khoury College Tech Talks, Northeastern University. Boston, MA, USA. June 2020.

  • Non-Backtracking Cycles: Length Spectrum Theory and Graph Mining Applications. L. Torres, P. Suárez-Serrato, and T. Eliassi-Rad. MiDAS Research Group Seminar, Boston University. Boston, MA, USA. November 2019.

Tutorials

  • Co-tutor for part 3 of Tutorial on Graph Metric Spaces. SIAM International Conference on Data Mining (SDM19), Calgary, Canada. May 2019. [link]

  • Co-tutor for part 3 of Tutorial on Graph Metric Spaces. International Conference on Knowledge Discovery and Data Mining (KDD18), London, UK. August 2018. [link]

Contributed Presentations

  • Unitary Non-backtracking Eigenvalues. L. Torres. Metric Geometry and Network Analysis Seminar. Max Planck Institute for Mathematics in the Sciences. Leipzig, Germany. October 2021. [slides]

  • Node Immunization with Non-backtracking Eigenvalues and X-Centrality. L. Torres, K. S. Chan, H. Tong, and T. Eliassi-Rad. Annual Conference on Complex Systems (CCS). Online. December 2020. [video]

  • Non-backtracking Eigenvalues: X-Centrality and Node Immunization. L. Torres, K. S. Chan, H. Tong, and T. Eliassi-Rad. COMPLEX NETWORKS 2020: The 9th International Conference on Complex Networks and their Applications. Madrid, Spain (online). November 2020. [3min teaser]

  • Node Immunization with Non-backtracking Eigenvalues L. Torres, K. S. Chan, H. Tong, and T. Eliassi-Rad. The 2020 International Conference on Network Science (NetSci’20), NetCent satellite. Rome, Italy (online). September 2020. [slides] [video] [3min teaser]

  • The Largest Non-Backtracking Eigenvalue under Node Removal. L. Torres, T. Eliassi-Rad. Student Research Symposium of the Network Science Institute. Boston, MA, USA. November 2019. [slides]

  • GLEE: Geometric Laplacian Eigenmap Embedding. L. Torres, K. S. Chan, and T. Eliassi-Rad. Latin American Conference on Complex Networks (LANET’19). Cartagena, Colombia. August 2019. [slides]

  • GLEE: Geometric Laplacian Eigenmap Embedding. L. Torres, K. S. Chan, and T. Eliassi-Rad. The 2019 International Conference on Network Science (NetSci’19). Burlington, VT, USA. May 2019. [slides]

  • Graph Distance from a Topological View of Non-Backtracking Cycles. L. Torres, P. Suárez Serrato, T. Eliassi-Rad. Student Research Symposium of the Network Science Institute. Boston, MA, USA. November 2018. [slides]

  • A Bridge Between Homotopy Theory and Network Science. L. Torres, P. Suárez Serrato, T. Eliassi-Rad. SIAM Workshop on Network Science 2018 (SIAMNS’18). Portland, OR, USA. July 2018. [slides]

  • A Study of Cycle Length Spectra. L. Torres, P. Suárez Serrato, T. Eliassi-Rad. The 2018 International Conference on Network Science (NetSci’18). Paris, France. June 2018. [slides]

Posters

  • POTION: Optimizing Graph Structure for Targeted Diffusion. S. Yu, \L. Torres, S. Alfeld, T. Eliassi-Rad, Y. Vorobeychik. NETWORKS 2021: A joint Sunbelt and NetSci Conference. Online. July 2021. [poster] [3min teaser]

  • Node Immunization with Non-backtracking Eigenvalues L. Torres, K. S. Chan, H. Tong, and T. Eliassi-Rad. The 2020 International Conference on Network Science (NetSci’20). Rome, Italy (online). September 2020. [poster] [3min teaser]

  • The why, how, and when of representations for complex systems. L. Torres and A. Sizemore Blevins, D. S. Bassett and T. Eliassi-Rad. The 2019 International Conference on Network Science (NetSci’19). Burlington, Vermont, USA. May 2019. [poster]

  • GLEE: Geometric Laplacian Eigenmap Embedding. L. Torres, K. S. Chan, and T. Eliassi-Rad. New England Machine Learning Day 2019 (NEML’19). Boston, MA, USA. May 2019. [poster]

  • GLEE: Geometric Laplacian Eigenmap Embedding. L. Torres, K. S. Chan, and T. Eliassi-Rad. Graph Exploitation Symposium (GraphEx’19). Dedham, MA, USA. April 2019. [poster]

  • Graph Distance from the Topological Perspective of Nonbacktracking Cycles. L. Torres and T. Eliassi-Rad. New England Machine Learning Day 2018 (NEML’18). Cambridge, MA, USA. May 2018. [poster]

  • A Bridge between Homotopy Theory and Network Science. L. Torres and T. Eliassi-Rad. Graph Exploitation Symposium (GraphEx’18). Dedham, MA, USA. April 2018. [poster]

  • A Study of Cycle Length Distributions: Asymptotics, Applications, and Links to Homotopy Theory. L. Torres and T. Eliassi-Rad. The 9th International Conference on Complex Networks (CompleNet’18). Boston, MA, USA. March 2018. [poster]

Other

Published Software (non peer-reviewed)

  • manim, community edition [link] Manim is a community-maintained Python library for creating mathematical animations.

  • netrd [link] netrd is a multi-purpose library with dozens of state-of-the-art implementations of algorithms for simulating dynamics on networks, measuring the distance between networks, and reconstructing networks from temporal data.