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Ujava.org tensor-analysis
1.
Tensor Analysis for Deep
Learning ujava.org Workshop 2015-05-03 www.idosi.com CEO 강신동 Shindong KANG (주)지능도시
2.
www.idosi.comujava.org
3.
www.idosi.comspaceapi.org
4.
www.idosi.comDerivative (도함수,미분)
5.
www.idosi.comVelocity mm/picosec km/hr m/sec
6.
www.idosi.comOsculating Circle (접촉원) P P1 P2 Lim
P1P → 0 Lim P2P → 0
7.
www.idosi.comCurvature (곡률)
8.
www.idosi.comCurvature (곡률) P P1 P2
9.
www.idosi.comPartial Derivative (편미분)
10.
www.idosi.comPartial Derivative (편미분)
11.
www.idosi.comPartial Derivative (편미분)
12.
www.idosi.comTotal Derivative (전미분)
13.
www.idosi.comVector ? (벡터) (1,
2) Is This Vector ?
14.
www.idosi.comTensor ? (텐서) 11,
12 21, 22 Is This Tensor ?
15.
www.idosi.comVector (벡터) Two vectors
addition ?
16.
www.idosi.comVector (벡터)
17.
www.idosi.comVector (벡터)
18.
www.idosi.comVector (벡터)
19.
www.idosi.comVector (벡터)
20.
www.idosi.comVector (벡터)
21.
www.idosi.comVector (벡터)
22.
www.idosi.comGradient (그라디언트, 기울기)
23.
www.idosi.comGradient (그라디언트, 기울기)
Vector
24.
www.idosi.comGradient Descent
25.
www.idosi.comPhase Plane (위상평면)
26.
www.idosi.comSource and Sink
of Phase Plane
27.
www.idosi.comLorenz Attractor
28.
www.idosi.comMatrix Determinant (행렬식) Img
src=wikipedia.org
29.
www.idosi.comJacobian Matrix (자코비안
행렬) Multi variables Multi functions
30.
www.idosi.comJacobian (Determinant) (자코비안
행렬식) = 0 변수들이 종속적임
31.
www.idosi.comLaplacian (라플라시안)
32.
www.idosi.comLaplacian (라플라시안, Laplace
Operator) Scalar
33.
www.idosi.comSecond-order Partial Derivative
(2차 편미분) L = f(t) V = dL/dt
34.
www.idosi.comSecond-order Partial Derivative
(2차 편미분) V = dL/dt
35.
www.idosi.comSecond-order Partial Derivative
(2차 편미분)
36.
www.idosi.comTransposed Matrix (전치행렬)
37.
www.idosi.comDerivative of Matrix
Equation (행렬 방정식의 미분) Hessian Matrix
38.
www.idosi.comDerivative
39.
www.idosi.comHessian Matrix (헤시안
행렬)
40.
www.idosi.comHessian Determinant (헤시안
행렬식) 최대값 최소값 Gradient=0
41.
www.idosi.comConjugate Vector (켤레벡터,
공액벡터) (x,y) (x,-y)
42.
www.idosi.comConjugate Gradient Method
(켤레기울기법, 공액기울기법)
43.
www.idosi.comConjugate Gradient Method
44.
www.idosi.comConjugate Gradient Method
45.
www.idosi.comConjugate Gradient Method
46.
www.idosi.comConjugate Gradient Method
47.
www.idosi.comDivergence (다이버전스, 발산)
Scalar
48.
www.idosi.comDivergence (다이버전스, 발산)
49.
www.idosi.comDivergence (다이버전스, 발산)
50.
www.idosi.comDivergence (다이버전스, 발산)
51.
www.idosi.comDivergence (다이버전스, 발산)
52.
www.idosi.comDivergence (다이버전스, 발산) + -
53.
www.idosi.comDivergence (다이버전스, 발산)
54.
www.idosi.comCurl (컬, 회전) Vector's
component
55.
www.idosi.comCurl (컬, 회전)
56.
www.idosi.comCurl (컬, 회전)
57.
www.idosi.comCurl (컬, 회전)
58.
www.idosi.comCurl (컬, 회전)
59.
www.idosi.comCurl (컬, 회전)
60.
www.idosi.comCurl (컬, 회전)
61.
www.idosi.comCurl (컬, 회전)
62.
Thank you ! (주)지능도시 Intelligent
City Ltd. 강신동 Shindong KANG www.idosi.com ceo@idosi.com
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