A new method to automatically compute processing times for random walks based distributed algorithms

Author(s):  
T. Bernard ◽  
A. Bui ◽  
M. Bui ◽  
D. Sohier
Author(s):  
Evita Nestoridi ◽  
Sam Olesker-Taylor

AbstractIn a recent breakthrough, Teyssier (Ann Probab 48(5):2323–2343, 2020) introduced a new method for approximating the distance from equilibrium of a random walk on a group. He used it to study the limit profile for the random transpositions card shuffle. His techniques were restricted to conjugacy-invariant random walks on groups; we derive similar approximation lemmas for random walks on homogeneous spaces and for general reversible Markov chains. We illustrate applications of these lemmas to some famous problems: the k-cycle shuffle, sharpening results of Hough (Probab Theory Relat Fields 165(1–2):447–482, 2016) and Berestycki, Schramm and Zeitouni (Ann Probab 39(5):1815–1843, 2011), the Ehrenfest urn diffusion with many urns, sharpening results of Ceccherini-Silberstein, Scarabotti and Tolli  (J Math Sci 141(2):1182–1229, 2007), a Gibbs sampler, which is a fundamental tool in statistical physics, with Binomial prior and hypergeometric posterior, sharpening results of Diaconis, Khare and Saloff-Coste (Stat Sci 23(2):151–178, 2008).


2013 ◽  
Vol 769 ◽  
pp. 85-92 ◽  
Author(s):  
Christian Effgen ◽  
Bejamin Kirsch

In this paper, a new method for the preparation of cutting edges via grinding is presented. This method enables the manufacturing of the tool macro and micro geometry in one setup without reclamping, allowing improved flexibility, repeatability and accuracy at reduced processing times. This new method is path controlled using a special elastic bond for the grinding wheels. By using elastic bond, a rounded cutting edge instead of undesired chamfers can be achieved, as the bond nestles around the cutting edge and elastically deforms. The elastic bond is specified by the grain concentration and its basic hardness. Besides the specifications of the bond, the process kinematics highly influences the properties of the cutting edge. The kinematics is a combination of the tool path (machining strategy) and the grinding wheel geometry. The presented experiments include the examination of three different kinematics using three different grinding wheel geometries, FEPA 1A1, 1V1 and 4A2. For each kinematics, three different grain concentrations and three degrees of basic bond hardness were tested, resulting in a complete amount of 27 parameter combinations. The outer diameter cutting edges of cemented carbide milling tools (end mills) were prepared in a 5-axis tool grinding machine. The shape and quality of the achieved cutting edge rounding was qualitatively evaluated by means of scanning electron microscopy (SEM).


1994 ◽  
Vol 53 (2) ◽  
pp. 243-274 ◽  
Author(s):  
G. Louchard ◽  
R. Schott ◽  
M. Tolley ◽  
P. Zimmermann

Stroke ◽  
2015 ◽  
Vol 46 (suppl_1) ◽  
Author(s):  
Matthew D Hammond ◽  
Erica C Lorenzo ◽  
Roslyn A Taylor ◽  
Youxi Ai ◽  
Lauren H Sansing

Background: The immune response following intracerebral hemorrhage (ICH) is an important component of secondary injury that requires further study. Flow cytometry is used to quantify and phenotype recruited leukocytes after murine ICH. Current methods using density gradients have long processing times that reduce the ability to detect phosphorylation states and often yield few neutrophils. Here, we demonstrate the utility of a new method for homogenizing brains and staining for intracellular signaling proteins. This technique results in improved cell recovery and allows us to more precisely classify monocyte polarization states as either M1 pro-inflammatory or M2 anti-inflammatory. Methods: Mouse brains were digested to single-cell suspensions 1-10 days after collagenase ICH. To compare methods, brains were centrifuged on a percoll density gradient or simply homogenized on ice with phosphatase inhibitors. The latter samples were stained extracellularly, fixed with paraformaldehyde, permeabilized in methanol, and then stained intracellularly for phosphorylated STAT molecules (pSTATs). Results: This new method resulted in better neutrophil recovery, yielding 12,190 ± 5,603 neutrophils vs. 1,576 ± 458 neutrophils with percoll at day 3 (p<0.02; n=3-5). No differences were seen in the numbers of monocytes, T cells, or microglia collected between the two methods (p>0.05; n=3-5). Intracellular staining for pSTATs allowed us to identify activated components of the JAK/STAT signaling pathway. All monocytes had high pSTAT1 at day 1, but it steadily declined to day 10. Ly6Clow and Ly6C– monocytes increased pSTAT6 over time, whereas Ly6Chi monocytes did not. Conclusions: This study demonstrates an improved method for recovering leukocytes from mouse brains and staining for pSTATs. Using this technique, we show that Ly6Chi monocytes, which are known to worsen ICH disability, lack pSTAT6 and display an early pro-inflammatory M1 phenotype. In contrast, the Ly6Clow and Ly6C– monocytes both elevate pSTAT6 over time, suggesting they become M2 polarized and may contribute to later repair. Decreasing M1 monocyte polarization and accelerating M2 polarization could be accomplished by targeting pSTATs and may represent a novel treatment strategy in ICH.


Author(s):  
C. C. Clawson ◽  
L. W. Anderson ◽  
R. A. Good

Investigations which require electron microscope examination of a few specific areas of non-homogeneous tissues make random sampling of small blocks an inefficient and unrewarding procedure. Therefore, several investigators have devised methods which allow obtaining sample blocks for electron microscopy from region of tissue previously identified by light microscopy of present here techniques which make possible: 1) sampling tissue for electron microscopy from selected areas previously identified by light microscopy of relatively large pieces of tissue; 2) dehydration and embedding large numbers of individually identified blocks while keeping each one separate; 3) a new method of maintaining specific orientation of blocks during embedding; 4) special light microscopic staining or fluorescent procedures and electron microscopy on immediately adjacent small areas of tissue.


Author(s):  
James C. Long

Over the years, many techniques and products have been developed to reduce the amount of time spent in a darkroom processing electron microscopy negatives and micrographs. One of the latest tools, effective in this effort, is the Mohr/Pro-8 film and rc paper processor.At the time of writing, a unit has been recently installed in the photographic facilities of the Electron Microscopy Center at Texas A&M University. It is being evaluated for use with TEM sheet film, SEM sheet film, 35mm roll film (B&W), and rc paper.Originally designed for use in the phototypesetting industry, this processor has only recently been introduced to the field of electron microscopy.The unit is a tabletop model, approximately 1.5 × 1.5 × 2.0 ft, and uses a roller transport method of processing. It has an adjustable processing time of 2 to 6.5 minutes, dry-to-dry. The installed unit has an extended processing switch, enabling processing times of 8 to 14 minutes to be selected.


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