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20002026
most citedDeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

3.4k citations

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108 papers · 1 filter

math.OC2026

Asymptotically Efficient Recursive Identification Under One-Bit Communications Achieving Original CRLB

Xingrui Liu, Jieming Ke, Mingjie Shao +1

This paper develops an asymptotically efficient recursive identification algorithm for autoregressive systems with exogenous inputs under one-bit communications. In particular, the…

math.OC2025

A Unified Recursive Identification Algorithm with Quantized Observations Based on Weighted Least-Squares Type Criteria

Xingrui Liu, Ying Wang, Yanlong Zhao

This paper investigates system identification problems with Gaussian inputs and quantized observations under fixed thresholds. By reinterpreting the nonlinear effects induced by qu…

math.OC2024

An Efficient Stochastic Subgradient Method for the Global Placement Problem in Very Large-Scale Integration Circuits

Yi-Shuang Yue, Yu-Hong Dai, Haijun Yu

The placement problem in Very Large-Scale Integration (VLSI) circuits is a critical step in chip design. Its primary goal is to optimize the wirelength of circuit components within…

math.OC2024★ 6 cited

Multidimensional Opinion Dynamics with Heterogeneous Bounded Confidences and Random Interactions

Jiangjiang Cheng, Ge Chen, Wenjun Mei +1

This paper introduces a heterogeneous multidimensional bounded confidence (BC) opinion dynamics with random pairwise interactions, whereby each pair of agents accesses each other's…

math.OC2024★ 1 cited

Multiple Regression for Matrix and Vector Predictors: Models, Theory, Algorithms, and Beyond

Meixia Lin, Ziyang Zeng, Yangjing Zhang

Matrix regression plays an important role in modern data analysis due to its ability to handle complex relationships involving both matrix and vector variables. We propose a class…

math.OC2024

Whitney Stratification of Algebraic Boundaries of Convex Semi-algebraic Sets

Zihao Dai, Zijia Li, Zhi-Hong Yang +1

Algebraic boundaries of convex semi-algebraic sets are closely related to polynomial optimization problems. Building upon Rainer Sinn's work, we refine the stratification of iterat…