2025
            
            
              Locality in Image Diffusion Models Emerges from Data Statistics
  
  
A Machine Learning Enabled Approach to Assess Trade-offs between Growth and Stress Tolerance in Pooideae Grasses Following Domestication
  
  
Enhancing Sample Generation of Diffusion Models using Noise Level Correction
  
  
Parametric-ControlNet: Multimodal Control in Foundation Models for Precise Engineering Design Synthesis
  
  
2024
            
            
              VehicleSDF: A 3D generative model for constrained engineering design via surrogate modeling
  
  
Stylish and Functional: Guided Interpolation Subject to Physical Constraints
  
  
Bridging Design Gaps: A Parametric Data Completion Approach With Graph-Guided Diffusion Models
  
  
Interpreting and Improving Diffusion Models from an Optimization Perspective
  
  
Data-Driven Car Drag Prediction with Depth and Normal Renderings
  
  
2023
            
            
              Drag-Guided Diffusion Models for Vehicle Image Generation
  
  
Low-Rank Univariate Sum of Squares Has No Spurious Local Minima
  
  
Surrogate Modeling of Car Drag Coefficient with Depth and Normal Renderings
  
  
2022
            
            
              Polynomial Structure in Semidefinite Relaxations and Non-Convex Formulations
  
  
Maximizing Products of Linear Forms, and The Permanent of Positive Semidefinite Matrices
  
  
2021
            
            
              Semidefinite Relaxations of Products of Nonnegative Forms on the Sphere
  
  
    
      Preprint, 2021
    
    
    
    
      [arxiv]
    
    
    
    
    
  
2018
            
            
              Focused Polynomials, Random Projections and Approximation Algorithms for Polynomial Optimization over the Sphere
  
  
2016
            
            
              Resiliency of Mobility-as-a-Service Systems to Denial-of-Service Attacks
  
  
ZUbers against ZLyfts Apocalypse: An Analysis Framework for DoS Attacks on Mobility-as-a-Service Systems
  
  
2012
            
            
              Preparation of Li(Ni0.5Mn1.5)O4 by polymer precursor method and its electrochemical properties
  
  
Journal
            
            
              A Machine Learning Enabled Approach to Assess Trade-offs between Growth and Stress Tolerance in Pooideae Grasses Following Domestication
  
  
Enhancing Sample Generation of Diffusion Models using Noise Level Correction
  
  
Parametric-ControlNet: Multimodal Control in Foundation Models for Precise Engineering Design Synthesis
  
  
Data-Driven Car Drag Prediction with Depth and Normal Renderings
  
  
Low-Rank Univariate Sum of Squares Has No Spurious Local Minima
  
  
Maximizing Products of Linear Forms, and The Permanent of Positive Semidefinite Matrices
  
  
Resiliency of Mobility-as-a-Service Systems to Denial-of-Service Attacks
  
  
Preparation of Li(Ni0.5Mn1.5)O4 by polymer precursor method and its electrochemical properties
  
  
Conference
            
            
              Locality in Image Diffusion Models Emerges from Data Statistics
  
  
Bridging Design Gaps: A Parametric Data Completion Approach With Graph-Guided Diffusion Models
  
  
Interpreting and Improving Diffusion Models from an Optimization Perspective
  
  
Surrogate Modeling of Car Drag Coefficient with Depth and Normal Renderings
  
  
ZUbers against ZLyfts Apocalypse: An Analysis Framework for DoS Attacks on Mobility-as-a-Service Systems
  
  
Workshop
            
            
              VehicleSDF: A 3D generative model for constrained engineering design via surrogate modeling
  
  
Stylish and Functional: Guided Interpolation Subject to Physical Constraints
  
  
Drag-Guided Diffusion Models for Vehicle Image Generation
  
  
Preprint
            
            
              Semidefinite Relaxations of Products of Nonnegative Forms on the Sphere
  
  
    
      Preprint, 2021
    
    
    
    
      [arxiv]
    
    
    
    
    
  
Thesis
            
            
              Polynomial Structure in Semidefinite Relaxations and Non-Convex Formulations
  
  
Focused Polynomials, Random Projections and Approximation Algorithms for Polynomial Optimization over the Sphere
  
  
Theoretical Foundations of Diffusion Models
            
            
              Locality in Image Diffusion Models Emerges from Data Statistics
  
  
Enhancing Sample Generation of Diffusion Models using Noise Level Correction
  
  
Interpreting and Improving Diffusion Models from an Optimization Perspective
  
  
Global Landscape of Non-Convex Problems
            
            
              Low-Rank Univariate Sum of Squares Has No Spurious Local Minima
  
  
AI for Engineering Design
            
            
              Parametric-ControlNet: Multimodal Control in Foundation Models for Precise Engineering Design Synthesis
  
  
VehicleSDF: A 3D generative model for constrained engineering design via surrogate modeling
  
  
Stylish and Functional: Guided Interpolation Subject to Physical Constraints
  
  
Bridging Design Gaps: A Parametric Data Completion Approach With Graph-Guided Diffusion Models
  
  
Data-Driven Car Drag Prediction with Depth and Normal Renderings
  
  
Drag-Guided Diffusion Models for Vehicle Image Generation
  
  
Surrogate Modeling of Car Drag Coefficient with Depth and Normal Renderings
  
  
Rounding Convex Relaxations of Quadratic Maps
            
            
              Semidefinite Relaxations of Products of Nonnegative Forms on the Sphere
  
  
    
      Preprint, 2021
    
    
    
    
      [arxiv]
    
    
    
    
    
  
Permanent Approximation
            
            
              Maximizing Products of Linear Forms, and The Permanent of Positive Semidefinite Matrices
  
  
Control of Queueing Networks
            
            
              Resiliency of Mobility-as-a-Service Systems to Denial-of-Service Attacks
  
  
ZUbers against ZLyfts Apocalypse: An Analysis Framework for DoS Attacks on Mobility-as-a-Service Systems
  
  
Thesis
            
            
              Polynomial Structure in Semidefinite Relaxations and Non-Convex Formulations
  
  
Focused Polynomials, Random Projections and Approximation Algorithms for Polynomial Optimization over the Sphere
  
  
Misc Science
            
            
              A Machine Learning Enabled Approach to Assess Trade-offs between Growth and Stress Tolerance in Pooideae Grasses Following Domestication
  
  
Preparation of Li(Ni0.5Mn1.5)O4 by polymer precursor method and its electrochemical properties