‎in this paper, using the idea of convexificators, we study boundedness and nonemptiness of lagrange multipliers satisfying the first order necessary conditions. we consider a class of nons- mooth fractional programming problems with equality, inequality constraints and an arbitrary set constraint. within this context, define generalized mangasarian-fromovitz constraint qualification and show t...

Abstract Deep neural networks have revolutionized computer vision, and their object representations across layers match coarsely with visual cortical areas in the brain. However, whether these exhibit qualitative patterns seen human perception or brain remains unresolved. Here, we recast well-known perceptual phenomena terms of distance comparisons, ask they are present feedforward deep trained...

Ionospheric tomography is a method to investigate the ionospheric electron density in two or three dimensions. In this study, the function-based tomographic technique has been used for regional reconstruction of a 3D tomographic model of the ionospheric electron density using the GPS measurements of the Iranian Permanent GPS Network. Two-dimensional Haar wavelets and empirical orthogonal functi...

In this contribution w e utiliz e recent advances in feature coding strategies for a hierarchical N eocognitron-like neural architecture, w hich can be used for invariant recognition of natural visual stimuli like objects or faces. Several researchers have identifi ed that sparseness is an important coding principle for learning receptive fi eld profi les that resemble response properties of si...