This event is part of Algebraic Statistics and Our Changing World View Details

Algebraic Statistics for Ecological and Biological Systems

October 9 — 13, 2023

Description

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Many 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

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E D
Eliana Duarte Universidade do Porto
E G
Elizabeth Gross University of Hawaii at Mānoa
E R
Elina Robeva University of British Columbia
S S
Seth Sullivant North Carolina State University

Speakers

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D B
Daniel Bernstein Tulane University
A B
Andrew Brouwer University of Michigan
J C
Jane Coons Oxford University
M D
Mathias Drton Technical University of Munich
M E
Marisa Eisenberg University of Michigan
M G L
Marina Garrote Lopez University of British Columbia
G G
Gill Grindstaff Oxford University
Y G
Yuqi Gu Columbia University
R H P
Roser Homs Pons Centre de Recerca Matemàtica
T K
Thomas Kahle Otto-von-Guericke University Magdeburg
A M
Aida Maraj University of Michigan
A M
Alex Markham KTH Royal Institute of Technology
N M
Nikki Meshkat Santa Clara University
C M
Chris Muir University of Wisconsin, Madison
J R
John Rhodes University of Alaska
C S L
Claudia Solis Lemus University of Wisconsin
N T
Neriman Tokcan University of Massachusetts, Boston
S W
Samuel Wang Cornell University
K Z
Kun Zhang Carnegie Mellon University
P Z
Piotr Zwiernik University of Toronto

Schedule

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Monday, October 9, 2023
9:00-10:00 CDT
Inferring the tree-like parts of a species network under the coalescent

Speaker: John Rhodes (University of Alaska Fairbanks)

10:00-10:30 CDT
Coffee Break
10:30-11:30 CDT
Causal Discovery with Unobserved Confounding and non-Gaussian Data

Speaker: Samuel Wang (Cornell University)

11:30-12:30 CDT
Lunch
12:30-13:30 CDT
Phylogenetic varieties beyond equivariant models

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

13:35-14:35 CDT
Identifiability and infectious disease models: exploring the structure of uncertainty

Speaker: Marisa Eisenberg (University of Michigan)

14:35-16:00 CDT
Social Hour
Tuesday, October 10, 2023
9:00-10:00 CDT
Graphical Continuous Lyapunov Models

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

10:00-10:30 CDT
Coffee Break
10:30-11:30 CDT
Neuro-Causal Factor Analysis: Structure learning and identifiability

Speaker: Alex Markham (KTH Royal Institute of Technology)

11:30-12:30 CDT
Lunch
12:30-13:30 CDT
Causal Representation Learning: Discovery of the Hidden World

Speaker: Kun Zhang (Carnegie Mellon University)

13:35-14:35 CDT
Blessing of Dependence: Identifiability and Geometry of Discrete Models with Multiple Binary Latent Variables

Speaker: Yuqi Gu (Columbia University)

14:35-15:00 CDT
Coffee Break
15:00-16:00 CDT
Lightning Session

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
Wednesday, October 11, 2023
9:00-10:00 CDT
Expanding statistics in BHV phylogenetic tree space

Speaker: Gill Grindstaff (University of Oxford)

10:00-10:30 CDT
Coffee Break
10:30-11:30 CDT
Ultrafast learning of hybridization networks using phylogenetic invariants

Speaker: Claudia Solis Lemus (University of Wisconsin)

11:30-12:30 CDT
Lunch
12:30-13:30 CDT
How empiricists use phylogenetic comparative methods to study trait evolution

Speaker: Chris Muir (University of Wisconsin, Madison)

13:35-14:35 CDT
Identifiability and Indistinguishability of Linear Compartmental Models

Speaker: Nikki Meshkat (Santa Clara University)

14:35-15:00 CDT
Coffee Break
15:00-16:00 CDT
Identifiability and model reduction of pharmacokinetic models of carbon stable isotope breath tests

Speaker: Andrew Brouwer (University of Michigan)

Thursday, October 12, 2023
9:00-10:00 CDT
The geometry of Gaussian double Markovian distributions

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

10:00-10:30 CDT
Coffee Break
10:30-11:30 CDT
Vanishing ideals of symmetrically colored Gaussian graphical models

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

11:30-12:30 CDT
Lunch
12:30-13:30 CDT
Entropic covariance models

Speaker: Piotr Zwiernik (University of Toronto)

13:35-14:35 CDT
Modeling Tumor Microenvironments with Zero-Inflated Bayesian Consensus Tensor Factorization

Speaker: Neriman Tokcan (University of Massachusetts Boston)

14:35-15:00 CDT
Coffee Break
15:00-16:00 CDT
Lightning Session/Problem Session

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
Friday, October 13, 2023
9:00-10:00 CDT
The ML degrees and RML degrees of Brownian motion tree models

Speaker: Aida Maraj (University of Michigan)

10:00-10:30 CDT
Coffee Break
10:30-11:30 CDT
Identifiability of level-1 species networks from gene tree quartets

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

11:30-13:30 CDT
Lunch
13:35-14:35 CDT
Maximum likelihood thresholds of Gaussian models via rigidity theory

Speaker: Daniel Bernstein (Tulane University)

14:35-15:00 CDT
Coffee Break
15:00-16:00 CDT
Lightning Session

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

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Inferring the tree-like parts of a species network under the coalescent

John Rhodes
October 9, 2023

Causal Discovery with Unobserved Confounding and non-Gaussian Data

Samuel Wang
October 9, 2023

Phylogenetic varieties beyond equivariant models

Roser Homs Pons
October 9, 2023

Identifiability and infectious disease models: exploring the structure of uncertainty

Marisa Eisenberg
October 9, 2023

Graphical Continuous Lyapunov Models

Mathias Drton
October 10, 2023

Neuro-Causal Factor Analysis: Structure learning and identifiability

Alex Markham
October 10, 2023

Causal Representation Learning: Discovery of the Hidden World

Kun Zhang
October 10, 2023

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

Yuqi Gu
October 10, 2023

Lightning Session


October 10, 2023

Expanding statistics in BHV phylogenetic tree space

Gill Grindstaff
October 11, 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

The geometry of Gaussian double Markovian distributions

Thomas Kahle
October 12, 2023

Vanishing ideals of symmetrically colored Gaussian graphical models

Jane Coons
October 12, 2023

Entropic covariance models

Piotr Zwiernik
October 12, 2023

Modeling Tumor Microenvironments with Zero-Inflated Bayesian Consensus Tensor Factorization

Neriman Tokcan
October 12, 2023

Lightning Session/Problem Session


October 12, 2023

The ML degrees and RML degrees of Brownian motion tree models

Aida Maraj
October 13, 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

Lightning Session


October 13, 2023