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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Top-heaviness of lower Bruhat intervals
较低 Bruhat区间 顶部厚重感
2023/11/13
Bjorner and Ekedahl (Ann. of math., 2008) proved that lower Bruhat intervals of crystallographic Coxeter groups are top-heavy using Hodge theory. Using Soergel bimodules and their Hodge theory establi...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Asymptotic log-concavity of dominant lower Bruhat intervals
显性 Bruhat区间 渐近对数凹性
2023/11/13
The unimodality of lower Bruhat intervals for the “upper half” remains as an open problem. For affine Weyl group W with corresponding finite Weyl group W_f, we prove that lower W_f-parabolic Bruhat in...
Balanced Splitting on Weighted Intervals
Interval splitting Combinatorial optimizations Algorithms Temporal databases Multi-version databases
2016/1/22
We study a problem on splitting intervals. Let I be a set of n intervals on a line L, with non-negative weights. Given any integer k ≥ 1, we want to find k points on L to partition L into k + 1 segmen...
Smoothed weighted empirical likelihood ratio confidence intervals for quantiles
bootstrap doubly censored data empirical likelihood interval censored data partly interval censored data right censored data
2015/12/11
Thus far, likelihood-based interval estimates for quantiles have not been studied in the literature on interval censored case 2 data and partly interval censored data, and, in this context, the use of...
Possible reduction of earthquake hazard on the Wellington Fault,New Zealand,after the nearby 1855,M 8.2 Wairarapa earthquake and implication for interpreting paleoearthquake intervals
Wellington region changes on Coulombfailure stress earthquake hazard
2015/9/16
Based on the indicative modelling, the changes in Coulomb failure function (?CFS) suggest that the W-HV segment and the T-P segment could be stable in at least the future 300 years and 190 years respe...
Neuromuscular and Blood Lactate Responses to Squat Power Training with Different Rest Intervals between Sets
Power development muscle recovery
2015/8/28
Twelve resistance-trained men (22.7 ± 3.2 years; 1.79 ± 0.08
cm; 81.8 ± 11.3 kg) performed 6 sets of 6 repetitions of squat
exercise at 60% of their 1 repetition maximum. Peak and average power we...
Confidence Intervals for Random Forests:The Jackknife and the Infinitesimal Jackknife
bagging jackknife methods Monte Carlo noise variance estimation
2015/8/21
We study the variability of predictions made by bagged learners and random forests, and show how to estimate standard errors for these methods. Our work builds on variance estimates for bagging propos...
Guaranteed Conservative Fixed Width Confidence Intervals Via Monte Carlo Sampling
Intervals Via Monte Carlo Sampling Guaranteed Conservative
2015/8/21
Monte Carlo methods are used to approximate the means, μ, of random variables
Y, whose distributions are not known explicitly. The key idea is that the average of a random
sample, Y1,...,Yn, tends t...
Strength and hypertrophy responses to constant and decreasing rest intervals in trained men using creatine supplementation
constant and decreasing rest Strength and hypertrophy responses
2015/7/22
The purpose of the current study was to compare strength and hypertrophy responses to resistance
training programs that instituted constant rest intervals (CI) and decreasing rest intervals (DI) betw...
We study precise conditions under which the cyclic regenerative confidence intervals of Sargent and Shanthikumar are asymptotically valid. We also obtain an optimal way of implementing the cyclic rege...
Coverage Error for Confidence Intervals Arising in Simulation Output Analysis
Coverage Error Confidence Intervals Arising Simulation Output Analysis
2015/7/8
Coverage error asymptotics for confidence intervals arising in simulation are discussed~ Asymptotic expansions, to order O(n-1) (n is the sample size), are given for confidence intervals associated wi...
Estimation of Continuous-time Markov Processes Sampled at Random Time Intervals
Method of moments parameter estimation Markov process
2015/7/6
We introduce a family of generalized-method-of-moments estimators of the parameters of a continuous-time Markov process observed at random time intervals. The results include strong consistency, asymp...
Asymptotic Validity of Batch Means Steady-State Confidence Intervals
Asymptotic Validity Batch Means Steady-State Confidence Intervals
2015/7/6
Themethod of batch means is a widely applied procedure for constructing steady-state confidence intervals. The traditional theoretical support for the method of batch means has rested on the assumptio...
Effect of Different Rest Intervals, Between Sets, on Muscle Performance During Leg Press Exercise, in Trained Older Women
Aging muscle fatigue muscle endurance recovery
2015/5/14
The purpose of this study was to assess the effect of different rest intervals (RI) between sets on number of repetitions, sustainability of repetitions, and total volume during a leg press exercise. ...
Rest Intervals Reduce the Number of Loading Bouts Required to Enhance Bone Formation
BONE EXERCISE MECHANICAL LOADING OSTEOBLAST
2017/4/19
Purpose: As our society becomes increasingly sedentary, compliance with exercise regimens that require numerous high-energy activities each week become less likely. Alternatively, given an osteogenic ...