PIPages
Labs

Yuxin Chen

University of Pennsylvania, PA·Mathematics & Statistics

Many modern data problems involve learning a huge number of unknowns from data that are scarce, noisy, or costly to collect. Examples include an algorithm that learns by trial and error in a clinical trial, or an imaging method that must reconstruct a picture from incomplete measurements.

Fields

Mathematics & Statistics

Computer Science

Engineering

Topics

reinforcement learning

sample complexity

function approximation

Grants
2 known grants, through Sep 2027

What they work on

  1. Characterize the fundamental limits on sample and computational complexity of reinforcement learning, meaning how much data and computing an agent needs to learn good decisions in an unknown environment.
  2. Design computationally efficient reinforcement learning algorithms that use function approximation and are provably near-optimal in sample use, for both single-agent and multi-agent settings.
  3. Develop performance guarantees and uncertainty quantification schemes for RL algorithms, using finite-sample analysis tools that handle the statistical dependencies in sequential decision data.
  4. Construct optimal confidence intervals for continuous parameters in nonconvex low-complexity models, using new nonconvex estimation and de-biasing methods.
  5. Build fast nonconvex algorithms and uncertainty assessment procedures for unknown discrete variables, and unify convex relaxation and nonconvex optimization in one uncertainty framework tested on applications such as shape matching and water-fat imaging.

More about the research

This research builds the mathematical theory behind such methods. It asks how much data and computation they really need, and how confident we can be in their answers. One project studies reinforcement learning, and the other studies how to measure uncertainty in large-scale estimation.

Why it matters

Algorithms that learn from limited data are increasingly used where mistakes are costly, such as clinical trials, autonomous systems, and medical imaging. Clear limits on how much data these methods need, together with valid error bars on their outputs, could help scientists, engineers, and clinicians judge when to trust an algorithm's decisions. This work could also support safer use of reinforcement learning in settings where data are scarce.

Known grants

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

Collaborative Research: CIF: Medium: Statistical and Algorithmic Foundations of Efficient Reinforcement Learning

NSF · Jan 2022 – Sep 2027

RI: Small: Uncertainty Quantification for Nonconvex Low-Complexity Models

NSF · Jan 2022 – Sep 2026

Closest labs

Chi Jin

Princeton University, NJ·Computer Science·Early-career

Identify the general structures of function classes, such as those represented by neural networks, under which model-free reinforcement learning is tractable, and design provably efficient algorithms that also handle model misspecification.

Pan Xu

Duke University, NC·Computer Science·Early-career

Develop distributionally robust reinforcement learning methods that use minimax optimization over a set of possible environment dynamics, so that policies trained in a simulator perform reliably in an unknown target domain, with finite-sample guarantees.

Navid Azizan Ruhi

Massachusetts Institute of Technology, MA·Engineering·Early-career

Develop Hard-Constrained Neural Networks (HardNet), which use a differentiable projection layer to guarantee input-dependent constraints, and embed them in reinforcement learning to produce certifiably safe policies.

The school

University of Pennsylvania: 90 labs on PI Pages, $2.2B a year on research, 750 research doctorates a year.

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