No More Pesky Learning Rates Tom Schaul Sixin Zhang Yann LeCun Courant Institute of Mathematical Sciences New York University 715 Broadway‚ New York‚ NY 10003‚ USA schaul@cims.nyu.edu zsx@cims.nyu.edu yann@cims.nyu.edu arXiv:1206.1106v2 [stat.ML] 18 Feb 2013 Abstract The performance of stochastic gradient descent (SGD) depends critically on how learning rates are tuned and decreased over time. We propose a method to automatically adjust multiple learning rates so as to minimize the expected
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1 One-factor Interest Rate Modeling 1 In this lecture... q stochastic models for interest rates q how to derive the bond pricing equation for many fixed-income products q the structure of many popular interest rate models 2 2 Introduction In this lecture we see the ideas behind modeling interest rates us-ing a single source of randomness. This isone-factor interest rate modeling. q The model will allow the short-term interest rate‚ the spot rate‚ to follow a random walk. This model leads
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determine the rate law and the activation energy for the reaction between persulfate ion‚ S2O82-‚ and iodide ion‚ I-: S2O82-(aq) + 2 I-(aq) 2 SO42-(aq) + I2(aq) The rate law can be written as Reaction rate = (1) Where m and n are the orders with respect to S2O82- and I-‚ respectively‚ and k is the rate constant. Determining the rate law involves determining the values of m and n. The temperature dependence of the rate constant is given by (2) Equation (2) is called
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day 210.) The implied forward rate over 150 days‚ and hence the rate on 150-day FRA‚ is 2.5%. The actual interest rate over that period could be either 2.4% or 2.6%. (a) If the interest rate on day 60 is 2.6%‚ how much will the lender have to pay if the FRA is settled on day 60? How much if it is settled on day 210? (b) If the interest rate on day 60 is 2.4%‚ how much will the lender have to pay if the FRA is settled on day 60? How much if it is settled on day 210? 2. Using information in Table
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Consumer spending in Asia (on GDP and Emerging Markets). Asia is the world’s largest and most populous continent. Interestingly the countries which fall under Asia vary in size‚ environment‚ historical ties and governance systems. Thus the wealth of these countries differs quite drastically. For example in terms of Gross Domestic Product‚ GDP ("the market value of all the goods and services produced by labour and property located in a country” (About.com 2009))‚ Japan has the largest economy
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Chapter 5: Flow Rate and Capacity Analysis 5.1 Objective Chapter 3 introduced the three basic building blocks of process flow namely the (average) flow time‚ (average) flow rate and (average) inventory. It is followed by a sequence of three chapters‚ 4‚ 5 and 6‚ which examine each one of these measures individually. Chapter 5 is concerned with flow rate analysis and issues of capacity. The major managerial concept discussed in the in the chapter is that of the bottleneck. We use the notion
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(mol dm-3) of hydrochloric acid (HCl) on the rate of reaction (mol dm-3 s-1) for the following chemical reaction: CaCO3(s) + HCl(aq) CaCl2(s) + H2O(l) + CO2(g) Research question: How does altering concentration (mol dm-3) of hydrochloric acid (HCl) affect the rate of reaction (g/s) for the following reaction: CaCO3(s) + HCl(aq) CaCl2(s) + H2O(l) + CO2(g) Background information: The reaction between calcium carbonate and hydrochloric acid is an example of a neutralization reaction between an acid
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UNEMPLOYMENT AND INFLATIONUNEMPLOYMENT AND INFLATION Student: ___________________________________________________________________________ 1. Inflation caused by a rise in per unit production costs is referred to as: A. Cost-push inflation B. Demand-pull inflation C. Unanticipated inflation D. Hyperinflation 2. The view that unions may be a source of inflation would be best associated with the: A. Supply-shock view of inflation B. Cost-push view of inflation C. Wage-push view of inflation
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asset is located at home or abroad. d. None of the above is correct. 2. If the quantity of loanable funds demanded is greater than the quantity of loanable funds supplied a. there is a surplus and the interest rate will rise. b. there is a surplus and the interest rate will fall. c. there is a shortage and the interest rate will rise. d. there is a shortage and the interest rate will fall. 3. Which of the following would tend to shift the supply of dollars in the market for foreign-currency
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Mortality rate is a measure of the number of deaths (in general‚ or due to a specific cause) in a population‚ scaled to the size of that population‚ per unit of time. Mortality rate is typically expressed in units of deaths per 1000 individuals per year; thus‚ a mortality rate of 9.5 (out of 1000) in a population of 1‚000 would mean 9.5 deaths per year in that entire population‚ or 0.95% out of the total. It is distinct from morbidity rate‚ which refers to the number of individuals in poor health
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