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We propose several sketching strategies , present a new quasi-Newton method that uses stochastic block BFGS updates combined with the variance reduction approach SVRG to compute batch stochastic gradients , and prove linear convergence of the resulting method .
 used for: quasi-Newton method, batch stochastic gradients; used for: stochastic block BFGS updates, quasi-Newton method; conjunction: stochastic block BFGS updates, variance reduction approach SVRG; used for: variance reduction approach SVRG, quasi-Newton method; feature of: linear convergence, method
Given options, please tell me the relationships of all the listed entity pairs.Output format is "relation1: word1, word2; relation2: word3, word4". 
Option: conjunction, feature of, hyponym of, used for, part of, compare, evaluate for 
Text: {0} 
 Entity Pairs:  quasi-Newton method, batch stochastic gradients; stochastic block BFGS updates, quasi-Newton method; stochastic block BFGS updates, variance reduction approach SVRG; variance reduction approach SVRG, quasi-Newton method; linear convergence, method 
Answer:
 used for: quasi-Newton method, batch stochastic gradients; used for: stochastic block BFGS updates, quasi-Newton method; conjunction: stochastic block BFGS updates, variance reduction approach SVRG; used for: variance reduction approach SVRG, quasi-Newton method; feature of: linear convergence, method