## Description

Back to topMany models in ecology, evolutionary biology, and, more generally, biological systems, have underlying graphical structures. These include probabilistic models such as Gaussian graphical models, staged tree models, structural equation models, and latent tree models, as well as deterministic models, such as linear compartment models. Drawing on current trends and strengths in algebraic statistics, this workshop will put such models front and center by introducing existing techniques and known challenges.. Motivated by evolutionary biology, microbiomes, epidemiology, and ecosystem modeling, the workshop will be multidisciplinary, bringing together researchers from multiple fields to study these combinatorial models and their applications.

## Organizers

Back to top## Speakers

Back to top## Schedule

Back to top**Speaker: **John Rhodes (University of Alaska Fairbanks)

**Speaker: **Samuel Wang (Cornell University)

**Speaker: **Roser Homs Pons (CRM (Centre de Recerca Matemàtica))

**Speaker: **Marisa Eisenberg (University of Michigan)

**Speaker: **Mathias Drton (Technical University Munich (TUM))

**Speaker: **Alex Markham (KTH Royal Institute of Technology)

**Speaker: **Kun Zhang (Carnegie Mellon University)

**Speaker: **Yuqi Gu (Columbia University)

Lightning Session Speakers

- Alexandros Grosdos (University of Augsburg),

*Extremal Graphical Models: Algebra and Applications*

- Mark Curiel (University of Hawaii at Manoa),

*Resolving non-partitionable networks*

- Max Hill Bacharach (University of Wisconsin-Madison),

*Phylogenetic Maximum Likelihood Estimation: Solving the Quartet Problem*

- Jiayi Li (UCLA),

*Simplex ETF – Algebraic structure arising in the terminal phase of neural network training*

- Bryson Kagy (North Carolina State University),

*Equidistant Phylogenetic Network Space*

**Speaker: **Gill Grindstaff (University of Oxford)

**Speaker: **Claudia Solis Lemus (University of Wisconsin)

**Speaker: **Chris Muir (University of Wisconsin, Madison)

**Speaker: **Nikki Meshkat (Santa Clara University)

**Speaker: **Andrew Brouwer (University of Michigan)

**Speaker: **Thomas Kahle (Otto-von-Guericke Universität Magdeburg)

**Speaker: **Jane Coons (St. John’s College, University of Oxford)

**Speaker: **Piotr Zwiernik (University of Toronto)

**Speaker: **Neriman Tokcan (University of Massachusetts Boston)

Lightning Session Speakers

- Oskar Henriksson (University of Copenhagen),

*Counting steady states with tropical geometry*

- Francisco Ponce Carrion (North Carolina State University),

*Marginal Independence Models*

- Shelby Cox (University of Michigan),

*Tropical Tree Space*

- Pardis Semnani (University of British Columbia),

*Causal Inference in Directed, Possibly Cyclic, Graphical Models*

- Maximilian Wiesmann (MPI MiS Leipzig),

*Quantum Graphical Models*

**Speaker: **Aida Maraj (University of Michigan)

**Speaker: **Marina Garrote-Lopez (Max Planck Institute for Mathematics in the Sciences, Leipzig)

**Speaker: **Daniel Bernstein (Tulane University)

Lightning Session Speakers

- Joseph Cummings (Notre Dame),

*The Pfaffian Structure of Phylogenetic Network*

- Beatriz Pascual Escudero (Universidad Politécnica de Madrid),

*The geometry of steady states varieties*

- David Barnhill (Naval Postgraduate School),

*Tropical Density Estimation of Phylogenetic Trees*

- Joe Johnson (KTH),

*Face Structure of Polytopes in Causal Discovery*

## Videos

Back to topIdentifiability and infectious disease models: exploring the structure of uncertainty

Marisa Eisenberg

October 9, 2023

Blessing of Dependence: Identifiability and Geometry of Discrete Models with Multiple Binary Latent Variables

Yuqi Gu

October 10, 2023

Ultrafast learning of hybridization networks using phylogenetic invariants

Claudia Solis Lemus

October 11, 2023

How empiricists use phylogenetic comparative methods to study trait evolution

Chris Muir

October 11, 2023

Identifiability and Indistinguishability of Linear Compartmental Models

Nikki Meshkat

October 11, 2023

Identifiability and model reduction of pharmacokinetic models of carbon stable isotope breath tests

Andrew Brouwer

October 11, 2023

Modeling Tumor Microenvironments with Zero-Inflated Bayesian Consensus Tensor Factorization

Neriman Tokcan

October 12, 2023

Identifiability of level-1 species networks from gene tree quartets

Marina Garrote-Lopez

October 13, 2023

Maximum likelihood thresholds of Gaussian models via rigidity theory

Daniel Bernstein

October 13, 2023