The filled function method is an effective way to solve global optimization problems. However, its effectiveness greatly affected by the selection of parameters, and non-continuous or non-differentiable properties constructed function. To overcome above-mentioned drawbacks, in this paper, a new parameterless proposed that continuous differentiable. Theoretical proofs have been made show Based o...

We consider two generalized Minty vector variational-like inequalities and investigate the relations between their solutions and vector optimization problems for non-differentiable α-invex functions.

Combining information both within and across trajectories, we propose a simple estimator for the local regularity of trajectories stochastic process. Independent are measured with errors at randomly sampled time points. The proposed approach is model-free applies to large class processes. Non-asymptotic bounds concentration derived. Given estimate regularity, build nearly optimal polynomial smo...

Abstract Solving fluid dynamics equations often requires the use of closure relations that account for missing microphysics. For example, when solving related to systems with a large Reynolds number, sub-grid effects become important and turbulence is required, in Knudsen kinetic required. By adding an equation governing growth transport quantity requiring relation, it becomes possible capture ...

An accurate, physically-based, and differentiable model of soft robots can unlock downstream applications in optimal control. The Finite Element Method (FEM) is an expressive approach for modeling highly deformable structures such as dynamic, elastomeric robots. In this paper, we compare virtual robot models simulated using FEM with measurements from their physical counterparts. particular, exa...