In this paper we consider general rank minimization problems with rank appearing in either objective function or constraint. We first establish that a class of special rank minimization problems has closed-form solutions. Using this result, we then propose penalty decomposition methods for general rank minimization problems in which each subproblem is solved by a block coordinate descend method...

We introduce the standard distribution width of fitness in the Bak-Sneppen evolution model. Through observing the fluctuation of this quantity in evolution, we find a different hierarchy of avalanche dynamics, w0 avalanche. We also obtain the corresponding gap equation and the self-organized threshold wc. The critical exponents (τ, γ and ρ), which describe the behavior of avalanche size distrib...

Snow avalanches are generally rare and occasionally extreme events. In the general context of prediction and predictably of extreme events, we will examine whether snow avalanches are predictable based on a few examples of forecasts at different scales. Clearly, avalanche predictability depends on scale. When the regional avalanche danger is High or Very High (Extreme), an avalanche is likely s...

In this paper, we calculate electron and hole impactionization coefficients in In0.52Al0.48As using a Monte Carlo modelwhich has two valleys and two bands for electrons and holesrespectively. Also, we calculate multiplication factor for electronand hole initiated multiplication regimes and breakdown voltagein In0.52Al0.48As PIN avalanche photodiodes. To validate themodel, we compare our simulat...

The economic implications of network topologies are studied via a monopolist’s model of market networks originally proposed by Phan, et al. (2003). By embedding the market into a larger collection of network topologies, in particular, a class of scale-free networks, we extend the early analysis built upon a class of ring networks. To facilitate the study of the impacts of network topologies upo...

Few molecular studies have been devoted to the finger drop process that occurs during banana fruit ripening. Recent studies revealed the involvement of changes in the properties of cell wall polysaccharides in the pedicel rupture area. In this study, the expression of cell-wall modifying genes was monitored in peel tissue during post-harvest ripening of Cavendish banana fruit, at median area (c...

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A 4000-km-' area of submarine slump and slide deposits along the west flank of Mauna Loa volcano has been mapped with GLORIA side-scan sonar images, seismic reflection profiles, and new bathymetry. The youngest deposits are two debris avalanche lobes that travelled from their breakaway area near the present shoreline as much as 100 km into the Hawaiian Deep at water depths of 4800 m. The two lo...

Abstract The 6.1 Richter Scale earthquake on February 25, 2022 in Pasaman district and West caused landslides around Mount Talamau with an avalanche outcrop of 1,200 hectares, resulting debris flow a number tributaries rivers Bt. Nango, Lampang, Timbo Abu, Tobi, Sopan, Muaro Tayo subdistrict, the Haluan, Tampa, Bt, Malampah, Kilangan Malampah district. potential for can still occur when rainfal...