PIPages
Labs

Armeen Taeb

University of Washington, WA·Mathematics & Statistics

When scientists choose a model from data, such as deciding which genes matter or which variables are connected, they want to limit false discoveries: parts of the model that are not really there. For simple choices, a variable is either in or out, so counting false positives is easy.

Fields

Mathematics & Statistics

Computer Science

Topics

false discovery rate

false positive control

model selection

Grants
1 known grant, through Jun 2027

What they work on

  1. Develop a framework that organizes complex model classes (partitions, permutations, directed acyclic graphs, subspaces) as partially ordered sets, and use it to define generalized false positive error.
  2. Determine which properties of the poset structure govern the statistical power and computational complexity of procedures that control false positive error.
  3. Design model-selection methods with false discovery rate (FDR) guarantees over posets, exploiting specific poset structures to increase power.
  4. Apply the poset framework to learning rooted phylogenetic trees and to selecting among highly correlated variables with error control.

More about the research

Many modern analyses instead pick structures such as clusters, rankings, causal diagrams, or low-dimensional subspaces. For these, it is unclear what a 'false positive' even means. This project builds a general mathematical way to define and control such errors, so these analyses can be trusted.

Why it matters

Reliable ways to limit false discoveries could make data-driven conclusions more trustworthy when models involve clusters, rankings, causal graphs, or evolutionary trees. The resulting methods could help researchers in computational genomics, image analysis, and the geosciences report findings with stated error guarantees.

Known grants

From NIH and NSF research grants. Labs often have other funding we can't see.

False Discovery Control in Non-Standard Settings

NSF · Jul 2024 – Jun 2027

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Richard Guo

University of Michigan, MI·Mathematics & Statistics

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Adrian Lewis

Cornell University, NY·Mathematics & Statistics

Extend Łojasiewicz-type rescaling techniques to analyze the complexity of first-order and active-set algorithms on semi-algebraic problems in hyperbolic, non-Euclidean and infinite-dimensional spaces.

The school

University of Washington: 81 labs on PI Pages, $1.7B a year on research, 694 research doctorates a year.

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