In this paper, we study the low-rank matrix minimization problem, where loss function is convex but nonsmooth and penalty term defined by cardinality function. We first introduce an exact continuous relaxation, that is, both problems have same minimizers optimal value. particular, a class of lifted stationary points relaxed problem show any local minimizer must be point. addition, derive lower ...

The Steiner Problem in Graphs (SPG) is defined as follows. Given an undirected graph G = (V,E), positive edge costs c and a set T ⊆ V of terminal nodes, find a connected subgraph (V ′, E′) of G with T ⊆ V ′ minimizing ∑ e∈E′ ce. In other words, find a minimum cost tree containing all terminals, possibly also containing some other nodes. The Steiner Problem in Directed Graphs (SPDG) is the case ...

The postsynaptic fibers of the pterygopalatine or sphenopalatine ganglion (PPG or SPG) supply the lacrimal and nasal glands. The PPG appears to play an important role in various pain syndromes including headaches, trigeminal and sphenopalatine neuralgia, atypical facial pain, muscle pain, vasomotor rhinitis, eye disorders, and herpes infection. Clinical trials have shown that these pain disorde...

We propose the visualization of venous compliance (VC) using a digital red-green-blue (RGB) camera. The new imaging method, which transforms RGB values into VC, combines VC evaluation with blood concentration estimation from the RGB values of each pixel. We evaluate a non-contact plethysmography (NCPG) system for VC based on comparisons with conventional strain gauge plethysmography (SPG). We c...

Automatic diierentiation and nonmonotone spectral projected gradient techniques are used for solving optimal control problems. The original problem is reduced to a nonlinear programming one using general Runge-Kutta integration formulas. Canonical formulas which use a fast automatic diierentiation strategy are given to compute derivatives of the objective function. On the basis of this approach...

BACKGROUND Recently, a hexanucleotide repeat expansion in the C9orf72 gene has been identified to cause frontotemporal dementia, amyotrophic lateral sclerosis families and many other neurodegenerative diseases. Owing to the overlapping phenotypes among HSP, frontotemporal dementia and amyotrophic lateral sclerosis we hypothesized that C9orf72 expansions might be a genetic risk factor or modifie...

Adjuvant immunochemotherapy using the antitumour polysaccharide sizofiran (SPG), an extract from the culture broth of Schizophyllum commune Fries, was prescribed randomly for 386 Japanese patients with resectable gastric cancer. Although the overall survival probability for 5 years did not differ between the SPG and control groups, in 264 patients with curatively resected cancer, the probabilit...

SPG (Symmetrical peripheral gangrene) is defined as symmetrical distal ischemic damage at two or more sites in the absence of large vessels obstruction. It has been ascribed to a number of infectious and non infectious conditions including connective tissue, cardiovascular, neoplastic and iatrogenic causes. We report a unique case of SPG in a 35-year-old Indian female who developed spontaneous ...