(150107) l : ApGq Ñ ApGq bApGq wrong sketch: If V is doubly filtered, the associated graded of the diagonally-associated single filtration of V is isomorphic to the diagonal single-gradation of the associated doubly-graded of V . False. Take V Qxx, yy, F0,0 F1,0 F0,1 V , F2,0 xxy, F1,1 F0,2 xyy. Then 0 xrxsy V1,0 ` V0,1 V1 0. ApG Hq ApGqbApHq as the associated single filtration of the double fi...

Title of dissertation: ESSAYS ON THE ECONOMETRIC ANALYSIS OF U.S. AGRICULTURE Shinsuke Uchida, Doctor of Philosophy, 2014 Dissertation directed by: Professor Erik Lichtenberg Department of Agricultural and Resource Economics This dissertation consists of three essays empirically investigating three important aspects of the U.S. agriculture: conservation, subsidy, and productivity. Each essay is...

Few areas of blood management have been simultaneously so widely revered yet broadly questioned as the process of autologous platelet gel (APG). An equal balance of skepticism tempers the degree of enthusiasm where a believer’s passion is only surpassed by a critic’s admonitions. APG is described as the process of harvesting ones own cells (platelets), concentrating them, exposing them to an ag...

Proximal gradient descent (PGD) and stochastic proximal gradient descent (SPGD) are popular methods for solving regularized risk minimization problems in machine learning and statistics. In this paper, we propose and analyze an accelerated variant of these methods in the mini-batch setting. This method incorporates two acceleration techniques: one is Nesterov’s acceleration method, and the othe...

Direct numerical simulation (DNS) of a turbulent boundary layer (TBL) subjected to adverse pressure gradient (APG) at Reτ = 834 is performed to investigate large-scale influences on vortical motions. For comparison, DNS data of a zero pressure gradient (ZPG) TBL at Reτ = 837 is analyzed. The spanwise energy spectra of the streamwise velocity fluctuations show that the large-scale energy above 4...

In this paper, we extend the implementable APG method to solve the matrix l2,1-norm minimization problem arising in multi-task feature learning. We investigate that the resulting inner subproblem has closed-form solution which can be easily determined by taking the problem’s favorable structures. Under suitable conditions, we can establish a comprehensive convergence result for the proposed met...