This paper provides an overview of significant advances in nonlinear stochastic dynamics during the past two decades, including random response, stochastic stability, stochastic bifurcation, first passage problem and ...This paper provides an overview of significant advances in nonlinear stochastic dynamics during the past two decades, including random response, stochastic stability, stochastic bifurcation, first passage problem and nonlinear stochastic control. Topics for future research are also suggested.展开更多
Our concerns apply to the inadequate ways statistical distributions of crystallographic orientations are compared and occasionally confirmed to agree sufficiently well.The authors of“Machine learning enhanced analysi...Our concerns apply to the inadequate ways statistical distributions of crystallographic orientations are compared and occasionally confirmed to agree sufficiently well.The authors of“Machine learning enhanced analysis of EBSD data for texture representation”1 suggest a method to replace an EBSD dataset of crystallographic orientations with a much smaller synthetic dataset preserving the texture.They claim that their“texture adaptive clustering and sampling”algorithm generates datasets of a few hundred crystallographic orientations,realizing an equivalent crystallographic orientation distribution as the initial dataset.To prove the principle and substantiate their claim of equivalent orientation distributions,the authors content themselves with(i)a visual inspection of the crystallographic pole density function,in fact,of three crystallographic“pole figures”and(ii)Kolmogorov–Smirnov tests for each of the three Euler angles of the crystallographic orientations individually.However,these criteria are insufficient to confirm equivalence of orientation distributions,they do not provide scientific evidence to substantiate the authors’claim that“texture adaptive clustering and sampling”generates crystallographic orientations in terms of their Euler angles representing the same texture.展开更多
基金The project supported by the National Natural Science Foundation of China (19972059)
文摘This paper provides an overview of significant advances in nonlinear stochastic dynamics during the past two decades, including random response, stochastic stability, stochastic bifurcation, first passage problem and nonlinear stochastic control. Topics for future research are also suggested.
文摘Our concerns apply to the inadequate ways statistical distributions of crystallographic orientations are compared and occasionally confirmed to agree sufficiently well.The authors of“Machine learning enhanced analysis of EBSD data for texture representation”1 suggest a method to replace an EBSD dataset of crystallographic orientations with a much smaller synthetic dataset preserving the texture.They claim that their“texture adaptive clustering and sampling”algorithm generates datasets of a few hundred crystallographic orientations,realizing an equivalent crystallographic orientation distribution as the initial dataset.To prove the principle and substantiate their claim of equivalent orientation distributions,the authors content themselves with(i)a visual inspection of the crystallographic pole density function,in fact,of three crystallographic“pole figures”and(ii)Kolmogorov–Smirnov tests for each of the three Euler angles of the crystallographic orientations individually.However,these criteria are insufficient to confirm equivalence of orientation distributions,they do not provide scientific evidence to substantiate the authors’claim that“texture adaptive clustering and sampling”generates crystallographic orientations in terms of their Euler angles representing the same texture.
