We introduce a detection algorithm for SAGBI basis in polynomial rings, analogous to a Gr\"obner basis detection algorithm previously proposed by Gritzmann and Sturmfels.
Commutative Algebra Algebraic Geometry
Based on this novel idea, we have developed a trust-region method and a joint gradient descent method driven by the component information for optimizing the encodable piecewise-smooth, nonconvex functions.
Optimization and Control
We present successive convexification, a real-time-capable solution method for nonconvex trajectory optimization, with continuous-time constraint satisfaction and guaranteed convergence, that only requires first-order information.
Optimization and Control
The key contribution is a novel method, based on the alternating direction method of multipliers, for solving the non-convex optimal control problem that arises due to the PWA dynamics.
Optimization and Control Systems and Control Systems and Control
In this paper we propose a new generalized cyclic symmetric structure in the factor matrices of polyadic decompositions of matrix multiplication tensors for non-square matrix multiplication to reduce the number of variables in the optimization problem and in this way improve the convergence.
Numerical Analysis Numerical Analysis Optimization and Control
Illustration with a transitivity model was carried out in both simulation and a real network data set.
Statistics Theory Methodology Statistics Theory
In this work we describe and test the construction of least squares Whitney forms based on weights.
Numerical Analysis Numerical Analysis
Key to the latter is the derivation of a deviation bound for extreme singular values of a quaternion sub-Gaussian matrix.
Numerical Analysis Numerical Analysis 65F55, 15B33, 68W20, 65F35
We consider the problem of stochastic optimal control where the state-feedback control policies take the form of a probability distribution, and where a penalty on the entropy is added.
Optimization and Control
Put simply, whether one transacts 1 satoshi or 1 bitcoin, the same amount of electricity is needed when including this txn into a block.
Numerical Analysis Computational Engineering, Finance, and Science Cryptography and Security Computers and Society Numerical Analysis
