activity
20232026
most citedThe ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach

1 citations · 1 across the 10 of their papers we have counts for

collaborators

11 papers

cs.AI2026

FDE-Bench: Evaluating End-to-End Delivery from Underspecified Real-World Business Requests

Huaiming Li, Can Huang, Chufan Wu +18

Real-world business requests often leave key requirements unstated because frontline practitioners struggle to articulate rules they know from experience. Forward-deployed engineer…

math.OC2026

Optimization on Affine-Transversal Hilbert Submanifolds: Part I -- Theoretical Foundations

Yongcun Song, Luhao Xue, Xiaoming Yuan +1

In this paper, we establish the theoretical foundations for the generic optimization problem in a Hilbert space whose feasible set is an affine-transversal Hilbert submanifold give…

cs.AI2026

Beyond Static Evaluation: Co-Evolutionary Mechanisms for LLM-Driven Strategy Evolution in Adversarial Games

Haoran Li, Zengle Ge, Ziyang Zhang +10

Recent advances in LLM-driven code evolution have enabled automated discovery by iteratively generating and improving programs. However, applying these methods to adversarial multi…

cs.LG2026

Stochastic Gradient Descent with Momentum is Algorithmically Stable

Yunwen Lei, Zimeng Wang, Xiaoming Yuan

Stochastic gradient descent with momentum (SGDM) is one of the most widely used optimization algorithms in machine learning. While optimization properties of SGDM have been extensi…

cs.LG2026

Learning Theory of the SVRG: Generalization and Convergence Analysis

Yunwen Lei, Zimeng Wang, Xiaoming Yuan

Variance reduction (VR) methods employ stochastic gradients with decreasing variance, and they have been widely applied to solve large-scale optimization problems in machine learni…

cs.AI2026

A Blueprint for Self-Evolving Coding Agents in Vehicle Aerodynamic Drag Prediction

Jinhui Ren, Huaiming Li, Yabin Liu +9

High-fidelity vehicle drag evaluation is constrained less by solver runtime than by workflow friction: geometry cleanup, meshing retries, queue contention, and reproducibility fail…

math.OC2026

Learning to Control: The iUzawa-Net for Nonsmooth Optimal Control of Linear PDEs

Yongcun Song, Xiaoming Yuan, Hangrui Yue +1

We propose an optimization-informed deep neural network approach, named iUzawa-Net, aiming for the first solver that enables real-time solutions for a class of nonsmooth optimal co…

cs.LG2025

BestServe: Serving Strategies with Optimal Goodput in Collocation and Disaggregation Architectures

Xiannan Hu, Tianyou Zeng, Xiaoming Yuan +3

Serving large language models (LLMs) to millions of users requires efficient resource allocation and parallelism strategies. It is a labor intensive trial-and-error process to find…

math.OC2024

A Single-Loop Stochastic Proximal Quasi-Newton Method for Large-Scale Nonsmooth Convex Optimization

Yongcun Song, Zimeng Wang, Xiaoming Yuan +1

We propose a new stochastic proximal quasi-Newton method for minimizing the sum of two convex functions in the particular context that one of the functions is the average of a larg…

math.OC2024

An Operator Learning Approach to Nonsmooth Optimal Control of Nonlinear PDEs

Yongcun Song, Xiaoming Yuan, Hangrui Yue +1

Optimal control problems with nonsmooth objectives and nonlinear partial differential equation (PDE) constraints are challenging, mainly because of the underlying nonsmooth and non…

math.OC2023★ 1 cited

The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach

Yongcun Song, Xiaoming Yuan, Hangrui Yue

We study the combination of the alternating direction method of multipliers (ADMM) with physics-informed neural networks (PINNs) for a general class of nonsmooth partial differenti…