We consider the problem of provably finding a stationary point of a smooth function to be minimized on the variety of bounded-rank matrices. This turns out to be unexpectedly delicate. We trace the difficulty b
In this paper we consider the problem of finding e-approximate stationary points of convex functions that are p-times differentiable with n-H枚lder continuous pth derivatives. We present tensor methods with and without acceleration. Specifically, we show that the non-accelerated schemes take at ...
这篇文章研究如何找到一类非光滑非凸问题的稳定点,并分析其复杂度。对于凸问题(可能非光滑),以及光滑的非凸问题,基于梯度方法的复杂度都比较好建立,而对于非凸且非光滑的问题,目前只有一些渐进性的收敛,其有限时间的非渐进收敛性分析目前还没有被解决。作者的贡献主要以下几点 ...
Stationary pointsTopographical global initializationConstrained optimizationIn order to find multiple stationary points of the Gibbs tangent plane distance function, often required in the stability analysis used in phase equilibrium calculations, in this article we apply a recently revisited version of the ...
Finding the Stationary Point: Looking at the 3 diagrams above you should be able to see that at each of the points shown the gradient is 0 (i.e. the curve goes flat). In lesson 6 we said that differentiation gives us the gradient function. So to find any stationary points we nee...
W. J. (1996) Resolving crystal polymorphisms by finding "stationary points" from quantitative analysis of crystal growth response surfaces, J. Crystal Growth 168, 155-169.Kuyper, L. & Carter, C. W. J. (1996 ). Resolving crystal polymorphisms by finding `Stationary Points' from quantitative ...
When a function's slope is zero at x, and the second derivative at x is: less than 0, it is a local maximum greater than 0, it is a local minimum equal to 0, then the test fails (there may be other ways of finding out though)Second...
The hidden landscape of localization of eigenfunctions - Svitlana Mayboroda 57:26 The deterministic communication complexity of approximate fixed point - Weinstei 01:07:50 Modularity and potential modularity theorems in the function field setting - Har 01:03:39 The Mathematical Infinity - Enrico ...
Inf. Sci. (2016) 6:4 Page 2 of 31 with prior information available (e.g., there is a database of historical traffic or car park- ing availability for a given area) obtained from some source (e.g., either from stationary sensors or previous crowdsourcing efforts or other means) in ...
My invention relates to a system for and method of determining the direction of arrival of radiant energy, more particularly to a bearing indicator for sound waves although not limited 6 thereto. It has already become known in order to determine the incoming direction of sound waves to receive....