Fisher information has been used to analyze the accuracy of neural population coding. This works well when the Fisher information does not degenerate, but when two stimuli are presented to a population of neurons, a singular structure emerges by their mutual interactions. In this case, the Fisher information matrix degenerates, and the regularity condition ensuring the Cramér-Rao paradigm of st...

 Y. Yang, MS student and author of correspondence, Phone: +86-10-8233-8273, Fax: +86-10-8233-8023, Email: [email protected].  Y. Zhang, Professor and author of correspondence, Phone: +86-10-8233-8023, Fax: +86-10-8233-8023, Email: [email protected]. ABSTRACT This paper presents a procedure to obtain a singularity-free task workspace with a new method to deal with singularities. In order to ...

A higher order scheme is presented for the optimal correction method previously proposed by the authors for computing the 3-D position of corresponding points in a stereo image pair, and this method is compared with the Hartley-Sturm method. It is pointed out that the epipole is a singularity of the Harley-Sturm method, while the our method has no singularity. It is confirmed by numerical simul...

We consider the possibility of using locally supported quasi-interpolation operators for the approximation of univariate non-smooth functions. In such a case one usually expects the rate of approximation to be lower than that of smooth functions. It is shown in this paper that prior knowledge of the type of ’singularity’ of the function can be used to regain the full approximation power of the ...

In this paper Legendre wavelet bases have been used for finding approximate solutions to singular boundary value problems arising in physiology. When the number of basis functions are increased the algebraic system of equations would be ill-conditioned (because of the singularity), to overcome this for large $M$, we use some kind of Tikhonov regularization. Examples from applied sciences are pr...