DUAL

Discovery and Understanding with AI Lab

Forward ModelingandInverse Design:Quantifying structure, modeling dynamics, and guiding design across scales.AI for ScienceandScience for AI:Understanding the world with AI, and understanding AI itself.

Research highlights

We study how multiscale structure and multiscale dynamics shape function in physical systems and AI models. We develop mathematical and AI methods for prediction and use this understanding to guide our growing work in inverse design.

Xiongye Xiao is the UTK Principal Investigator for COMPASS (Center for Complex Particle Systems), an NSF Science and Technology Center.

Includes the PI's earlier work with collaborators at USC and other institutions.

Multiscale dynamics

  • Neural operators
  • Physics-informed AI
  • Multiwavelets

Analyze and predict evolving fields, coupled dynamics, and systems with memory.

Scale-Split Neural Operator for Memory- and Data-Efficient 3D Turbulence Prediction

Shaoxiang Qin, Yucheng Zhao, Zongyi Li, Liangzhu Leon Wang, and Xiongye Xiao

arXiv 2026

ScaleSplit-NO conditions local, full-resolution patch operators on a global coarse forecast for memory- and data-efficient 3D turbulence prediction.

Research figure
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ScaleSplit-NO architecture: a separately trained coarse Parent forecast conditions a pretrained Child operator that predicts full-resolution local patches

Qin et al., ScaleSplit-NO, arXiv:2609.38977v1 (2026), complete Figure 2, unmodified. CC BY 4.0. Source paper. License

Multiscale structure

  • Multifractal analysis
  • Network science
  • Multiscale representations

Quantify network organization and heterogeneity across scales, and investigate their relation to function.

Deciphering the Generating Rules and Functionalities of Complex Networks

Xiongye Xiao, Hanlong Chen, and Paul Bogdan

Scientific Reports 2021

NMFA uses node-centered box growth to characterize multiscale network structure and compare its complexity and heterogeneity.

Research figure
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Complete NMFA Figure 1 showing box-growing examples, network changes and multifractal descriptors

Xiao, Chen and Bogdan, Scientific Reports (2021), Figure 1. The thumbnail presents the top two rows in a three-column layout, with panel letters omitted. Axes, legends and scientific annotations are retained; the complete, unmodified figure is shown here. CC BY 4.0. Source paper. License

Inverse design & AI design

  • Structure-informed materials
  • Neuro-inspired AI

From structure-informed materials selection and neuro-inspired AI models toward physics-constrained inverse design.

Biomorphic Structural Batteries for Robotics

Mingqiang Wang, Drew Vecchio, ..., Xiongye Xiao, ..., Nicholas A. Kotov

Science Robotics 2020

Graph and multifractal analysis compare nanofiber networks for structural-battery selection; physical tests assess mechanical performance and ion transport.

Research figure
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Complete Figure 1: nanofiber microscopy, graph representations, multifractal spectra and mechanical properties for structural-battery composites

Wang et al., Science Robotics 5, eaba1912 (2020), complete Figure 1. Original panels, labels and scale bars retained. Copyright 2020 The Authors; exclusive licensee AAAS. Source paper

  • Congratulations to James on his selection for a UTK Scholarly Development Grant - Research Assistantship (SDG-RA)!

  • GeoWind2Plan has been accepted as a Spotlight at NeurIPS 2026. Congratulations to Shaoxiang, Yucheng, and our collaborators!

  • Our collaborative review of complex nanoparticle systems, from synthesis and self-assembly to graph theory and applications, is published in Chemical Reviews.

  • Toward a Structure-to-Function Science of Foundation Models is accepted as a visionary paper at the ACM AI Leadership Summit 2026. Congratulations to Yucheng and Shaoxiang!

  • AI Tennessee supports our research on AI for materials.

  • Our group receives support from NSF COMPASS, with Xiongye Xiao leading the research at UTK as Principal Investigator.

Our group

People

Join our group

We welcome students and collaborators interested in AI methods for scientific systems and in the study and design of AI models.

Research support

Xiongye Xiao is the UTK Principal Investigator for NSF STC COMPASS and a member of UTK's Foundational AI cluster.

We gratefully acknowledge support from AI Tennessee. Our COMPASS research is supported by the U.S. National Science Foundation under Award No. 2243104. Any opinions, findings, and conclusions or recommendations expressed here are those of the authors and do not necessarily reflect the views of the U.S. National Science Foundation.