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Tensor Analysis for Deep Learning
ujava.org Workshop
2015-05-03
www.idosi.com
CEO 강신동
Shindong KANG
(주)지능도시
www.idosi.comujava.org
www.idosi.comspaceapi.org
www.idosi.comDerivative (도함수,미분)
www.idosi.comVelocity
mm/picosec
km/hr
m/sec
www.idosi.comOsculating Circle (접촉원)
P
P1
P2
Lim P1P → 0 Lim P2P → 0
www.idosi.comCurvature (곡률)
www.idosi.comCurvature (곡률)
P
P1
P2
www.idosi.comPartial Derivative (편미분)
www.idosi.comPartial Derivative (편미분)
www.idosi.comPartial Derivative (편미분)
www.idosi.comTotal Derivative (전미분)
www.idosi.comVector ? (벡터)
(1, 2)Is This Vector ?
www.idosi.comTensor ? (텐서)
11, 1221, 22
Is This Tensor ?
www.idosi.comVector (벡터)
Two vectors addition ?
www.idosi.comVector (벡터)
www.idosi.comVector (벡터)
www.idosi.comVector (벡터)
www.idosi.comVector (벡터)
www.idosi.comVector (벡터)
www.idosi.comVector (벡터)
www.idosi.comGradient (그라디언트, 기울기)
www.idosi.comGradient (그라디언트, 기울기) Vector
www.idosi.comGradient Descent
www.idosi.comSource and Sink of Phase Plane
www.idosi.comMatrix Determinant (행렬식)
Img src=wikipedia.org
www.idosi.comJacobian Matrix (자코비안 행렬)
Multi variablesMulti functions
www.idosi.comJacobian (Determinant) (자코비안 행렬식)
= 0 변수들이 종속적임
www.idosi.comLaplacian (라플라시안)
www.idosi.comLaplacian (라플라시안, Laplace Operator) Scalar
www.idosi.comSecond-order Partial Derivative (2차 편미분)
L = f(t)V = dL/dt
www.idosi.comSecond-order Partial Derivative (2차 편미분)
V = dL/dt
www.idosi.comSecond-order Partial Derivative (2차 편미분)
www.idosi.comTransposed Matrix (전치행렬)
www.idosi.comDerivative of Matrix Equation (행렬 방정식의 미분)
Hessian Matrix
www.idosi.comDerivative
www.idosi.comHessian Matrix (헤시안 행렬)
www.idosi.comHessian Determinant (헤시안 행렬식)
최대값
최소값
Gradient=0
www.idosi.comConjugate Vector (켤레벡터, 공액벡터)
(x,y)
(x,-y)
www.idosi.comConjugate Gradient Method (켤레기울기법, 공액기울기법)
www.idosi.comConjugate Gradient Method
www.idosi.comConjugate Gradient Method
www.idosi.comConjugate Gradient Method
www.idosi.comConjugate Gradient Method
www.idosi.comDivergence (다이버전스, 발산) Scalar
www.idosi.comDivergence (다이버전스, 발산)
www.idosi.comDivergence (다이버전스, 발산)
www.idosi.comDivergence (다이버전스, 발산)
www.idosi.comDivergence (다이버전스, 발산)
www.idosi.comDivergence (다이버전스, 발산)
+
-
www.idosi.comDivergence (다이버전스, 발산)
www.idosi.comCurl (컬, 회전)
Vector's component
www.idosi.comCurl (컬, 회전)
www.idosi.comCurl (컬, 회전)
www.idosi.comCurl (컬, 회전)
www.idosi.comCurl (컬, 회전)
www.idosi.comCurl (컬, 회전)
www.idosi.comCurl (컬, 회전)
www.idosi.comCurl (컬, 회전)
Thank you !
(주)지능도시
Intelligent City Ltd.
강신동
Shindong KANG
![ujava.org workshop : Deep Learning [2015-03-08]](https://img.pdfslide.tips/doc/110x75/55a689dd1a28ab3f1e8b485d/ujavaorg-workshop-deep-learning-2015-03-08.jpg)
