PIPages
Labs

Sri Hari Krishn Narayanan

University of Chicago, IL·Computer Science

Simulations of the Earth, from ocean currents to flowing ice, depend on parameters whose values are uncertain. Figuring out how sensitive a simulation is to each parameter requires derivatives, the mathematical quantities that describe how an output changes when an input is nudged.

Fields

Computer Science

Earth & Environmental Science

Mathematics & Statistics

Topics

automatic differentiation

differentiable programming

Julia

Grants
1 known grant, through Jul 2027

What they work on

  1. Develop an open-source, general-purpose automatic differentiation framework in Julia that computes exact derivatives of program code for both large-scale Earth system models and scientific machine learning methods.
  2. Enable universal differentiable programming that unifies simulation and machine learning algorithms, including physics-informed neural networks and neural differential equations, for hybrid Bayesian inversion and Bayesian machine learning.
  3. Deliver derivative-enabled flagship applications, an open-source ocean general circulation model from the Climate Modelling Alliance and an open-source ice flow model, with gradient and Hessian information available to the community.
  4. Support parameter and state estimation, data assimilation, Hessian-based and gradient-informed MCMC uncertainty quantification, and quantitative observing system design using the differentiated Earth system models.

More about the research

The same derivatives underlie training neural networks and Bayesian inference, the statistical approach to estimating unknowns with uncertainty. This collaborative project builds software so that Earth system models and machine learning methods can share one derivative engine, letting the two fields be combined rather than used separately.

Why it matters

Climate projections and ice-sheet forecasts hinge on how well models are calibrated to observations and how honestly their uncertainty is reported. Open-source differentiable ocean and ice flow models could make parameter estimation, data assimilation and observing-system design more tractable for a wide community, and partners are already applying the same tools to power grid efficiency, personalized drug dosing and EEG instrument design.

Known grants

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

Collaborative Research: Frameworks: Convergence of Bayesian inverse methods and scientific machine learning in Earth system models through universal differentiable programming

NSF · Aug 2021 – Jul 2027

Closest labs

Patrick Heimbach

University of Texas at Austin, TX·Earth & Environmental Science

Set deep-ocean observing requirements by working with Global Ocean Observing System expert panels to refine Essential Ocean Variables, and apply them through regional demonstration projects.

Jonghyun Lee

University of Hawaii at Manoa, HI·Earth & Environmental Science

Build hybrid surrogate models from neural operators, networks that imitate expensive simulations, coupled through an open-source framework so groundwater–ocean exchange is simulated quickly while conserving mass at the land–sea boundary.

Burak Aksoylu

Texas A&M University-San Antonio, TX·Mathematics & Statistics

Use machine learning to improve iterative local-to-nonlocal coupling, so that peridynamics models only the region where fracture occurs and cheaper local models handle the rest.

The school

University of Chicago: 39 labs on PI Pages, $681M a year on research, 457 research doctorates a year.

More about University of Chicago

Reach out

A start for your email. Fill in the brackets.