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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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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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 and a base. Neutralization
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Interest Rates An interest rate is the rate at which interest is paid by borrowers for the use of money that they borrow from a lender. Specifically‚ the interest rate is a percent of principal paid a certain amount of times per period. Small companies often borrow capital from banks to buy new assets for its business‚ and in return the lender receives interest at a predetermined interest rate for deferring the use of funds and instead lending it to the borrower. Interest rates are
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One view is that the literacy rate has risen from 72% to 90% in the last 30 years. According to the 2005 Functional Literacy‚ Education‚ and Mass Media Survey conducted by the National Statistics Office (NSO)‚ 48.4 million or 84% of the estimated 57.6 million Filipinos who are 10 to 64 years old are said to be "functionally" literate (Source: "8 out of 10 Filipinos are functionally literate" by D. Pepito‚ TODAY newspaper‚ February 17‚ 2005). Functional literacy was found to be higher in females
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Effect of osmosis rate on different surface areas‚ depending on different types of water solution An investigation showing the effect of surface area on osmosis rate‚ including some different types of water concentration. Osmosis is a type of passive (not requiring energy) transport of water molecules across partially permeable membrane‚ from an area of high water concentration into area of low water concentration. But how does surface area affect rate of osmosis? Surface area plays important
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experiment is to 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)
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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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As the birth rates in recent years have been declined rapidly‚ the social issues that associate with older people’s social care come in quick succession. It is important to find out the way in solving these severe problems instead of ignoring. Therefore‚ this essay would analyze the approaches that different countries used and obtain the most sustainable way in order to achieve the social balance. Before comparing the elderlies’ social care approaches in different countries‚ providing the backgrounds
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at the instant that the radius is 4 cm. The radius is decreasing at the rate of 0 .25 cm/min. What is the rate of change of the volume at this instant? FACT IDEA LEARNING ISSUE ACTION PLAN 1) Snowball is melting that at the instant. 2) The snowball radius is 4cm. 3) The radius is decreasing at the rate of 0 .25 cm/min. 1) Make equation using chain rule. Chain rule based on the information given. 1) What is the rate of change of the volume at this instant? 2) How to solve the problem?
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