Enabling Massive Deep Neural Networks with the GraphBLAS

Deep Neural Networks (DNNs) have emerged as a core tool for machine learning. The computations performed during DNN training and inference are dominated by operations on the weight matrices describing the DNN. As DNNs incorporate more stages and more nodes per stage, these weight matrices may be required to be sparse because of memory limitations. The GraphBLAS.org math library standard was developed to provide high performance manipulation of sparse weight matrices and input/output vectors. For sufficiently sparse matrices, a sparse matrix library requires significantly less memory than the corresponding dense matrix implementation. This paper provides a brief description of the mathematics underlying the GraphBLAS. In addition, the equations of a typical DNN are rewritten in a form designed to use the GraphBLAS. An implementation of the DNN is given using a preliminary GraphBLAS C library. The performance of the GraphBLAS implementation is measured relative to a standard dense linear algebra library implementation. For various sizes of DNN weight matrices, it is shown that the GraphBLAS sparse implementation outperforms a BLAS dense implementation as the weight matrix becomes sparser.Comment: 10 pages, 7 figures, to appear in the 2017 IEEE High Performance Extreme Computing (HPEC) conferenc

Glass Model, Hubbard Model and High-Temperature Superconductivity

In this paper we revisit the glass model describing the macroscopic behavior of the High-Temperature superconductors. We link the glass model at the microscopic level to the striped phase phenomenon, recently discussed widely. The size of the striped phase domains is consistent with earlier predictions of the glass model when it was introduced for High-Temperature Superconductivity in 1987. In an additional step we use the Hubbard model to describe the microscopic mechanism for d-wave pairing within these finite size stripes. We discuss the implications for superconducting correlations of Hubbard model, which are much higher for stripes than for squares, for finite size scaling, and for the new view of the glass model picture.Comment: 7 pages, 7 figures (included), LaTex using Revtex, accepted by Int. J. Mod. Phys.

Optimal on-line computation of stack distances for MIN and OPT

The replacement policies known as MIN and OPT are optimal for a two-level memory hierarchy. The computation of the cache content for these policies requires the off-line knowledge of the entire address trace. However, the stack distance of a given access, that is, the smallest capacity of a cache for which that access results in a hit, is independent of future accesses and can be computed on-line. Off-line and on-line algorithms to compute the stack distance in time O(V) per access have been known for several decades, where V denotes the number of distinct addresses within the trace. The off-line time bound was recently improved to O( 1aV log V). This paper introduces the Critical Stack Algorithm for the online computation of the stack distance of MIN and OPT, in time O(log V) per access. The result exploits a novel analysis of properties of OPT and data structures based on balanced binary trees. A corresponding \u3a9(log V) lower bound is derived by a reduction from element distinctness; this bound holds in a variety of models of computation and applies even to the off-line simulation of just one cache capacity

Elucidating the anti-obesity potential of bioactive fractions of <i>kalanchoe pinnata</i> (<i>lam</i>.) leaves extract using a combination of <i>in vitro, in vivo</i> and <i>in silico</i> methods along with characterisation of lead compounds through an HPTLC ms-MSⁿ analytical study

Fractions were isolated from the leaves extract of Kalanchoe pinnata and subjected to scrutiny for their prospective anti-obesity properties. An array of preliminary phytochemical, invitro antioxidant, and enzyme inhibition assays were executed, which discerned fractions F1 and F2 as the most effective fractions. These fractions were subsequently studied through invivo experiments, affirming that F2 as the most potent fraction. Further characterisation of F2 was conducted via HPTLC-Mass spectrometry (MS-MSn) techniques. The outcomes demonstrated that F2 produced a notable anti-obesity effect in obese mice, reducing their body weight and lipid metrics, and leading to advantageous changes in their organs. An analytical examination of F2 revealed the existence of four principal compounds, which were subsequently subjected to insilico molecular docking and dynamic analysis, confirming their aptitude for binding to selected proteins. These findings imply that the utilisation of Kalanchoe pinnata leaves could provide a promising therapeutic strategy for the treatment of obesity.</p

ANTIMICROBIAL ANALYSIS OF DIFFERENT PARTS EXTRACT IN DIFFERENT SOLVENT SYSTEM OF A WASTE WEED - CALOTROPIS PROCERA.

 Objective: In the current study, we have focused on the major secondary metabolite containing parts such as flower, leaf, and root for phytochemical extraction with three different solvent systems to make a comparative study against three virulent bacteria species which are capable of intestinal infection, pneumonia, skin infections, and food poisoning.Methods: Antimicrobial activity of ethanol, methanol, and chloroform extracts from bark, leaves and roots of Calotropis procera, was examined against three virulent bacteria species: Escherichia coli, Staphylococcus aureus, and Bacillus subtilis using disc diffusion method.Results: The ethanol extract of leaf showed significant activity against S. aureus with a zone of inhibition ranging from 14 to 20 mm for S. aureus. The ethanol extract of flower was effective against E. coli with maximum 18 mm. Ethanol extract of root showed significant activity against S. aureus. Methanol extract of leaves showed moderate activity against S. aureus with a zone of inhibition ranging from 14 to 20 mm. Methanol extract of root showed significant activity against S. aureus with a zone of inhibition ranging from 12 to 22 mm. Methanol extract of flowers showed activity against E. coli with a zone of inhibition ranging from 11 to 20 mm. The chloroform extract of leaves showed significant activity against S. aureus. Chloroform extract of flower showed activity with zone of inhibition ranging from 11 to 17 mm for S. aureus chloroform extract of root showed activity against E. coli with zone of inhibition ranging from 9 to 17 mm.Conclusion: From the above study, it can be concluded that the activity of the plant extract may be due to the secondary metabolites or broad-spectrum antibiotic compounds present in it