This paper proposes a new algorithm for controlling classification results by generating a small additive perturbation without changing the classifier network. Our work is inspired by existing works generating adversarial perturbation that worsens classification performance. In contrast to the existing methods, our work aims to generate perturbations that can enhance overall classification perf...

A fundamental bound for a Hadamard multiplier operator of Cauchy t ype implies a known bound on the inverse of the operator T : X ! AX ,XBas well as a general perturbation bound involving the unitary factor in the polar decomposition; the latter bound leads to a perturbation bound on the positive semideenite factor.

Modelling the chaotic states in terms of the Gaussian Orthogonal Ensemble of random matrices (GOE), we investigate the interaction of the GOE with regular bound states. The eigenvalues of the latter may or may not be embedded in the GOE spectrum. We derive a generalized form of the Pastur equation for the average Green’s function. We use that equation to study the average and the variance of th...

We describe a perturbation expansion for the energy and wave function of a weakly bound particle in a short-range potential in one space dimension. ∗Research supported in part by the National Science Foundation under Grant #PHY-9218167.

In various penalty/smoothing approaches to solving a linear program, one regularizes the problem by adding to the linear cost function a separable nonlinear function multiplied by a small positive parameter. Popular choices of this nonlinearfunction include the quadraticfunction, the logarithm function, and the x ln(x)-entropy function. Furthermore, the solutions generated by such approaches ma...

A central focus of QCD studies is the non-perturbative structure of hadron wavefunctions, not only bound-state valence quark distributions, but also the intrinsic gluon and heavy quark distributions associated with higher Fock states. In this talk I discuss how the production of heavy quark systems and the use of nuclear targets can help to identify and separate the various components of hadron...

This paper contrastively researches the structural characteristic and the fission-evolution law of four different kinds of generalized Julia set generalized J set in short with different parameter c, which includes the generalized J set without any perturbation, the generalized J set perturbed by additive noises, the generalized J set perturbed by multiplicative noise, and the generalized J set...