Fast Proximal Linearized Alternating Direction Method of Multiplier with Parallel Splitting

The Augmented Lagragian Method (ALM) and Alternating Direction Method of Multiplier (ADMM) have been powerful optimization methods for general convex programming subject to linear constraint. We consider the convex problem whose objective consists of a smooth part and a nonsmooth but simple part. We propose the Fast Proximal Augmented Lagragian Method (Fast PALM) which achieves the convergence rate $O(1/K^2)$, compared with $O(1/K)$ by the traditional PALM. In order to further reduce the per-iteration complexity and handle the multi-blocks problem, we propose the Fast Proximal ADMM with Parallel Splitting (Fast PL-ADMM-PS) method. It also partially improves the rate related to the smooth part of the objective function. Experimental results on both synthesized and real world data demonstrate that our fast methods significantly improve the previous PALM and ADMM.Comment: AAAI 201

Detecting interactions between dark matter and photons at high energy e+e−e^+e^- colliders

We investigate the sensitivity to the effective operators describing interactions between dark matter particles and photons at future high energy $e^+e^-$ colliders via the \gamma+ \slashed{E} channel. Such operators could be useful to interpret the potential gamma-ray line signature observed by the Fermi-LAT. We find that these operators can be further tested at $e^+ e^-$ colliders by using either unpolarized or polarized beams. We also derive a general unitarity condition for $2 \to n$ processes and apply it to the dark matter production process $e^+e^-\to\chi\chi\gamma$.Comment: 13 pages, 8 figure

Application of Soluble Whey Protein-Carboxymethylcellulose Complex in Emulsion and Acid-induced Gelation

"December 2013."Soluble complex between whey protein isolate (WPI) and carboxymethylcellulose (CMC) can be formed at pH above the pI of the protein. In the first study, the influence of CMC concentration and molecular weight (Mw = 270k, 750k, and 2,500kDa) on the stability and properties of WPI/CMC-stabilized oil-in-water emulsions was investigated. Emulsions were prepared using soluble WPI-CMC complexes by homogenization 5% vegetable oil with 95% mixed WPI-CMC solution (0.5% WPI and 0-0.5% CMC, pH 7.0) at 12,000 rpm for 1 min, followed by sonication at 30% amplitude of total power for 5 min, and the pH was adjusted to 5.2. Emulsions were assessed by measuring ζ-potential, droplet size, creaming stability, rheological properties, and protein surface coverage. At proper concentration, emulsions containing high Mw CMC (2,500k) were the most stable and showed no separation even after 15-day storage. In the second study, acid-induced gelation of heated WPI and CMC soluble complex was investigated. Heated soluble complexes were prepared by mixing the biopolymers at pH 7 and heated at 85 oC for 30min. Gels were formed by the addition of GDL. Results showed that CMC molecular weight and biopolymer ratio were the major factors affecting gel properties. Overall, gels from heated WPI-CMC complex showed smoother structure and less porosity, indicating less phase separation. Furthermore, gels showed better mechanical properties when heated WPI-CMC complex at higher protein concentration

Search for H dibaryon on the lattice

We investigate the H-dibaryon, an $I(J^{P})=0(0^{+})$ with $s=-2$, in the chiral and continuum regimes on anisotropic lattices in quenched QCD. Simulations are performed on very coarse lattices with refined techniques to obtain results with high accuracy over a spatial lattice spacing in the range of $a_{s} \sim 0.19 - 0.41$ fm. We present results for the energy difference between the ground state energy of the hexa-quark stranglet and the free two-baryon state from our ensembles. A negative binding energy observed in the chirally extrapolated results leads to the conclusion that the measured hexa-quark state is bound. This is further confirmed by the attractive interaction in the continuum limit with the observed H-dibaryon bound by $\sim 47$ MeV.Comment: 7 pages, 5 figures, Accepted for publication in Phys. Rev.