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A Mathematical Framework On Machine Learning: Theory And Application, Bin Shi
A Mathematical Framework On Machine Learning: Theory And Application, Bin Shi
FIU Electronic Theses and Dissertations
The dissertation addresses the research topics of machine learning outlined below. We developed the theory about traditional first-order algorithms from convex opti- mization and provide new insights in nonconvex objective functions from machine learning. Based on the theory analysis, we designed and developed new algorithms to overcome the difficulty of nonconvex objective and to accelerate the speed to obtain the desired result. In this thesis, we answer the two questions: (1) How to design a step size for gradient descent with random initialization? (2) Can we accelerate the current convex optimization algorithms and improve them into nonconvex objective? For application, …
Simulation Analysis Of Magnetic Field Effect In Induction Heating Coil Of Porous Silicon Core Furnace, Jingang Li, Gaoyuan Liu
Simulation Analysis Of Magnetic Field Effect In Induction Heating Coil Of Porous Silicon Core Furnace, Jingang Li, Gaoyuan Liu
Journal of System Simulation
Abstract: A new technology of porous coil disposable drawing a plurality of single crystal silicon rod can solve the problem of low efficiency and high cost of zone melting method of single induction heating coil in drawing monocrystalline silicon. However,the missing of the theoretical research and mature technology leads to different sizes of monocrystalline silicon rods. According to electromagnetic theory,Some characterisitics of the porous coil are studied,including magnetic field model,operating principle,magnetic field distribution.To prove the mechanism of the technology, a mathematical model of the porous coil is constructed based on Matlab and Ansys software. The magnetic flux density distribution …