Learning sparse combinations is a frequent theme in machine learning. In this paper, we study its associated optimization problem in the distributed setting where the elements to be combined are not centrally located but spread over a network. We address the key challenges of balancing communication costs and optimization errors. To this end, we propose a distributed Frank-Wolfe (dFW) algorithm...

Report II is concerned with the extended results of distance function wavelets (DFW). The fractional DFW transforms are first addressed relating to the fractal geometry and the fractional derivative, and then, the discrete Helmholtz-Fourier transform is briefly presented. The Green second identity may be an alternative devise in developing the theoretical framework of the DFW transform and seri...

This report will add some supplements to the recently finished report series on the distance function wavelets (DFW). First, we define the general distance in terms of the Riesz potential, and then, the distance function Abel wavelets are derived via the fractional integral and Laplacian. Second, the DFW Weyl transform is found to be a shifted Laplace potential DFW. The DFW Radon transform is a...

Motivation: Affymetrix GeneChip brand arrays require a summarization step in order to combine the information in a probe set into one value representing the expression level of the corresponding gene. Here we present a new summarization method, Distribution Free Weighted (DFW) fold change, that uses the information of fold change but does not make any distributional assumptions for the data. Re...

Introduction: Hollow gold nanoshells (HAuNS) are one of the most attractive nanostructures for biomedical applications due to their interesting physicochemical properties. This study sought to evaluate the plasmonic photothermal effect of HAuNS irradiated with incoherent light on melanoma cell line. Materials and Methods: After the synthesis of nanostructures, the temperature changes of HAuNS ...

background: prostate cancer is one of the leading causes of cancer deaths among men. new gene expressed in prostate (ngep), is a prostate-specific gene expressed only in normal prostate and prostate cancer tissue. because of its selective expression in prostate cancer cell surface, ngep is a potential immunotherapeutic target. to target the ngep in prostate cancer, it is essential to investigat...

shiga toxins (stxs) are bacterial virulence factors produced by shigella dysenteriae serotype 1 and escherichia coli strains. stxs are critical factors for the development of diseases such as severe bloody diarrhea and hemolytic uremic syndrome. additionally, stxs trigger the secretion of pro- inflammatory cytokines and chemokines, particularly in monocytes or macrophages. the inflammatory cyto...

Part III of the reports consists of various unconventional distance function wavelets (DFW). The dimension and the order of partial differential equation (PDE) are first used as a substitute of the scale parameter in the DFW transform and series, especially with the space and time-space potential problems. It is noted that the recursive multiple reciprocity formulation is the DFW series. The Gr...

Introduction: The most important limitation of 5-aminolevulinic acid (5-ALA)-induced photodynamic therapy (PDT) is the efficacy of the cells in converting 5-ALA to protoporphyrin IX. The present study aimed to investigate the effectiveness of silver nanoparticles (AgNPs) with the photosensitivity at the surface plasmon resonance wavelength on 5-ALA-mediated PDT. Material and Methods: First of a...