no code implementations • 22 Nov 2023 • Chuan He, Zhaosong Lu
In this paper we consider a nonconvex unconstrained optimization problem minimizing a twice differentiable objective function with H\"older continuous Hessian.
no code implementations • 16 Oct 2023 • Chuan He, Le Peng, Ju Sun
In practice, many machine learning (ML) problems come with constraints, and their applied domains involve distributed sensitive data that cannot be shared with others, e. g., in healthcare.
no code implementations • 10 Jan 2023 • Chuan He, Heng Huang, Zhaosong Lu
In this paper we consider finding an approximate second-order stationary point (SOSP) of general nonconvex conic optimization that minimizes a twice differentiable function subject to nonlinear equality constraints and also a convex conic constraint.
no code implementations • 9 Jan 2023 • Chuan He, Zhaosong Lu, Ting Kei Pong
In particular, we first propose a new Newton-CG method for finding an approximate SOSP of unconstrained optimization and show that it enjoys a substantially better complexity than the Newton-CG method [56].
no code implementations • 12 Jul 2022 • Chuan He, Zhaosong Lu
In this paper we consider finding an approximate second-order stationary point (SOSP) of nonconvex conic optimization that minimizes a twice differentiable function over the intersection of an affine subspace and a convex cone.
1 code implementation • 8 Dec 2019 • Weipeng Li, Xiaogang Yang, Ruitao Lu, Jiwei Fan, Tao Zhang, Chuan He
The experiment of trajectory estimation demonstrates the convergence of AdaTE, and the better robust to the biased prior statistics and the observation drift compared with EKF, UKF and sparse MAP.
Information Theory Robotics Systems and Control Systems and Control Information Theory G.3.13; J.2.7