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Recurrent Neural Network, Fractal
for Deep Learning
ujava.org Workshop
2015-05-17
www.idosi.com
CEO 강신동
Shindong KANG
(주)지능도시
www.idosi.comujava.org
www.idosi.comspaceapi.org
www.idosi.comRecurrent Stream
www.idosi.comFunction
y = f(x)
y = x
x
y
www.idosi.comx = f(x)
y = 2x
y = x
x
y
www.idosi.comConvergence & Attractor
www.idosi.comDivergence (발산)
www.idosi.comCobweb (거미줄망)
www.idosi.comCobweb Plot (Cobweb Diagram)
www.idosi.comSRN (Simple Recurrent Network)
www.idosi.comElman Recurrent Neural Network
Elastic
ElmanA ?
www.idosi.comJordan Recurrent Neural Network
Jordan
결과?
www.idosi.comJordan & Elman Recurrent Neural Network
www.idosi.comESN (Echo State Network)
www.idosi.comESN (Echo State Network)
www.idosi.comESN (Echo State Network)
www.idosi.comSecond Order RNN
www.idosi.comLSTM (Long Short Term Memory) Cell
n-th layer
K-th cell
1 : step delay
Learn if input gate
and output gate ON
www.idosi.comLSTM (Long Short Term Memory) Network
www.idosi.comLSTM Real-time Streaming Recognition
www.idosi.comBi-directional RNN
Hopfield Neural Network
www.idosi.comOrdinary Differential Equation (상미분 방정식)
One variable differential equation
f'(x) = 0
www.idosi.comContinuous-time RNN
Real neuron simulation
Ordinary differntial Eq.
www.idosi.comContinuous-time RNN
www.idosi.comMultiple Timescales RNN (MTRNN)
Brain Activity Imitation
www.idosi.comBAM (Bidirectional Associative Memory, 양방향 연상 메모리)
Image → Name
Name → Image
www.idosi.comRestricted Boltzmann Machine (RBM)
www.idosi.comFractal (프랙탈)
www.idosi.comInfinity & Cantor (무한, 칸토어)
Cantor 1845-1918
Mathematical Set Creator
German, Jewish
Psychiatric hospital
{1,2,3,4, … }
{2,4,6,8, ...)
www.idosi.comCantor Set (칸토어 집합)
www.idosi.comCantor Set (칸토어 집합)
www.idosi.comHausdorff Dimension (하우스도르프 차원)
www.idosi.comFractal
www.idosi.comCoastline Length
www.idosi.comCoastline Length
www.idosi.comKoch Snowflake Curve, Koch Island (코흐눈송이곡선, 코흐섬)
D=1.26...
www.idosi.comSierpinski Triangle (시에르핀스키 삼각형)
www.idosi.comFractal Tree (프랙탈 나무)
www.idosi.comCobweb Plot
www.idosi.comAttractor (끌개)
www.idosi.comLogistic Map
www.idosi.comMandelbrot Set (만델브로 집합)
www.idosi.comMandelbrot Set (만델브로 집합)
www.idosi.comRabbit Island Population with Chaos
www.idosi.comRabbit Island Population with Chaos
X = a X (1 - X)
www.idosi.comRabbit Island Population with Chaos
www.idosi.comRabbit Island Population with Chaos
Chaos Code Demo
www.idosi.comBifurcation
www.idosi.comBifurcation Sound
www.idosi.comFractal & Bifurcation
Thank you !
(주)지능도시
Intelligent City Ltd.
강신동
Shindong KANG
www.idosi.com
ceo@idosi.com

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Recurrent Neural Network, Fractal for Deep Learning