ppt/slideLayouts/slideLayout1.xml
ppt/slideLayouts/slideLayout2.xml
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ppt/slideLayouts/slideLayout3.xml
ppt/slideLayouts/slideLayout4.xml
ppt/slideLayouts/slideLayout5.xml
ppt/slideLayouts/slideLayout6.xml
ppt/slideLayouts/slideLayout7.xml
ppt/slideLayouts/slideLayout8.xml
ppt/slideLayouts/slideLayout9.xml
ppt/slideLayouts/slideLayout10.xml
ppt/slideLayouts/slideLayout11.xml
ppt/slideMasters/slideMaster1.xml
ppt/theme/theme1.xml
ppt/slides/slide1.xml
ppt/slides/slide2.xml
ppt/notesSlides/notesSlide1.xml
ppt/slides/slide3.xml
ppt/slides/slide4.xml
ppt/slides/slide5.xml
ppt/slides/slide6.xml
ppt/slides/slide7.xml
ppt/slides/slide8.xml
ppt/notesSlides/notesSlide2.xml
ppt/slides/slide9.xml
ppt/notesSlides/notesSlide3.xml
ppt/slides/slide10.xml
ppt/notesSlides/notesSlide4.xml
ppt/slides/slide11.xml
ppt/notesSlides/notesSlide5.xml
ppt/slides/slide12.xml
ppt/notesSlides/notesSlide6.xml
ppt/slides/slide13.xml
ppt/notesSlides/notesSlide7.xml
ppt/slides/slide14.xml
ppt/slides/slide15.xml
ppt/notesSlides/notesSlide8.xml
ppt/slides/slide16.xml
ppt/notesSlides/notesSlide9.xml
ppt/slides/slide17.xml
ppt/notesSlides/notesSlide10.xml
ppt/slides/slide18.xml
ppt/slides/slide19.xml
ppt/slides/slide20.xml
ppt/slides/slide21.xml
ppt/slides/slide22.xml
ppt/slides/slide23.xml
ppt/notesSlides/notesSlide11.xml
ppt/slides/slide24.xml
ppt/notesSlides/notesSlide12.xml
ppt/slides/slide25.xml
ppt/notesSlides/notesSlide13.xml
ppt/slides/slide26.xml
ppt/notesSlides/notesSlide14.xml
ppt/slides/slide27.xml
ppt/slides/slide28.xml
ppt/notesSlides/notesSlide15.xml
ppt/slides/slide29.xml
ppt/notesSlides/notesSlide16.xml
ppt/slides/slide30.xml
ppt/notesSlides/notesSlide17.xml
ppt/slides/slide31.xml
ppt/notesSlides/notesSlide18.xml
ppt/notesMasters/notesMaster1.xml
ppt/theme/theme2.xml
ppt/presProps.xml
ppt/viewProps.xml
ppt/tableStyles.xml
docProps/app.xml
docProps/core.xml
docProps/thumbnail.jpeg
docProps/custom.xml
ppt/media/image1.emf
ppt/media/image1.tiff
ppt/media/image10.emf
ppt/media/image100.emf
ppt/media/image101.png
ppt/media/image11.emf
ppt/media/image12.emf
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ppt/media/image14.emf
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ppt/media/image19.png
ppt/media/image2.emf
ppt/media/image2.tiff
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ppt/media/image21.png
ppt/media/image22.emf
ppt/media/image23.emf
ppt/media/image24.emf
ppt/media/image25.emf
ppt/media/image26.emf
ppt/media/image27.emf
ppt/media/image28.png
ppt/media/image29.png
ppt/media/image3.emf
ppt/media/image30.png
ppt/media/image31.emf
ppt/media/image32.png
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ppt/media/image51.emf
ppt/media/image52.emf
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ppt/media/image8.png
ppt/media/image80.emf
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ppt/media/image84.emf
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ppt/media/image96.emf
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ppt/media/image99.emf
ppt/ink/ink1.xml
ppt/ink/ink2.xml
ppt/ink/ink3.xml
ppt/ink/ink4.xml
ppt/ink/ink5.xml
ppt/ink/ink6.xml
ppt/ink/ink7.xml
ppt/ink/ink8.xml
ppt/ink/ink9.xml
ppt/presentation.xml
_rels/.rels
ppt/notesMasters/_rels/notesMaster1.xml.rels
ppt/notesSlides/_rels/notesSlide1.xml.rels
ppt/notesSlides/_rels/notesSlide10.xml.rels
ppt/notesSlides/_rels/notesSlide11.xml.rels
ppt/notesSlides/_rels/notesSlide12.xml.rels
ppt/notesSlides/_rels/notesSlide13.xml.rels
ppt/notesSlides/_rels/notesSlide14.xml.rels
ppt/notesSlides/_rels/notesSlide15.xml.rels
ppt/notesSlides/_rels/notesSlide16.xml.rels
ppt/notesSlides/_rels/notesSlide17.xml.rels
ppt/notesSlides/_rels/notesSlide18.xml.rels
ppt/notesSlides/_rels/notesSlide2.xml.rels
ppt/notesSlides/_rels/notesSlide3.xml.rels
ppt/notesSlides/_rels/notesSlide4.xml.rels
ppt/notesSlides/_rels/notesSlide5.xml.rels
ppt/notesSlides/_rels/notesSlide6.xml.rels
ppt/notesSlides/_rels/notesSlide7.xml.rels
ppt/notesSlides/_rels/notesSlide8.xml.rels
ppt/notesSlides/_rels/notesSlide9.xml.rels
ppt/_rels/presentation.xml.rels
ppt/slideLayouts/_rels/slideLayout1.xml.rels
ppt/slideLayouts/_rels/slideLayout10.xml.rels
ppt/slideLayouts/_rels/slideLayout11.xml.rels
ppt/slideLayouts/_rels/slideLayout2.xml.rels
ppt/slideLayouts/_rels/slideLayout3.xml.rels
ppt/slideLayouts/_rels/slideLayout4.xml.rels
ppt/slideLayouts/_rels/slideLayout5.xml.rels
ppt/slideLayouts/_rels/slideLayout6.xml.rels
ppt/slideLayouts/_rels/slideLayout7.xml.rels
ppt/slideLayouts/_rels/slideLayout8.xml.rels
ppt/slideLayouts/_rels/slideLayout9.xml.rels
ppt/slideMasters/_rels/slideMaster1.xml.rels
ppt/slides/_rels/slide1.xml.rels
ppt/slides/_rels/slide10.xml.rels
ppt/slides/_rels/slide11.xml.rels
ppt/slides/_rels/slide12.xml.rels
ppt/slides/_rels/slide13.xml.rels
ppt/slides/_rels/slide14.xml.rels
ppt/slides/_rels/slide15.xml.rels
ppt/slides/_rels/slide16.xml.rels
ppt/slides/_rels/slide17.xml.rels
ppt/slides/_rels/slide18.xml.rels
ppt/slides/_rels/slide19.xml.rels
ppt/slides/_rels/slide2.xml.rels
ppt/slides/_rels/slide20.xml.rels
ppt/slides/_rels/slide21.xml.rels
ppt/slides/_rels/slide22.xml.rels
ppt/slides/_rels/slide23.xml.rels
ppt/slides/_rels/slide24.xml.rels
ppt/slides/_rels/slide25.xml.rels
ppt/slides/_rels/slide26.xml.rels
ppt/slides/_rels/slide27.xml.rels
ppt/slides/_rels/slide28.xml.rels
ppt/slides/_rels/slide29.xml.rels
ppt/slides/_rels/slide3.xml.rels
ppt/slides/_rels/slide30.xml.rels
ppt/slides/_rels/slide31.xml.rels
ppt/slides/_rels/slide4.xml.rels
ppt/slides/_rels/slide5.xml.rels
ppt/slides/_rels/slide6.xml.rels
ppt/slides/_rels/slide7.xml.rels
ppt/slides/_rels/slide8.xml.rels
ppt/slides/_rels/slide9.xml.rels
[Content_Types].xml
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style.visibility style.visibility
d inputs 𝑛 𝐻 ( 1 ) hidden layer 𝑛 𝐻 ( ℎ ) hidden layer c outputs 𝑛 𝐻 ( 𝐿 ) hidden layer 𝑛 𝐻 ( ℎ + 1 ) hidden layer . . . . . . . . . . . . . . . style.visibility style.visibility style.visibility style.visibility
\ noindent Number of weights in between the $1^{ st }$ input layer and the $1^{ st }$ hidden layer: $$(d + 1) \times n_{H}^{(1)}.$$ Number of weights in between the $h^{ st }$ hidden layer and the $(h+1)^{ th }$ hidden layer: $$(n_{H}^{(h)} + 1) \times n_{H}^{(h+1)}, h = 1, 2, \ ldots , L-1.$$ Number of weights in between the $L^{ th }$ hidden layer and the output layer: $$(n_{H}^{(L)} + 1) \times c.$$ Total number of weights: $$\ displaystyle (d + 1) \times n_{H}^{(1)} + \sum_{h=1}^{L-1} \Big((n_{H}^{(h)} + 1) \times n_{H}^{(h+1)} \Big) + (n_{H}^{(L)} + 1) \times c$$
0: Unfilled 1: Filled What activation function should be used in the output node? Or which activation function should NOT be used in the output node? How to determine the configuration of neural network? style.visibility style.visibility style.visibility ppt_x ppt_y style.visibility style.visibility
How to get the values of the above matrices?
– 0.7057 1.9061 2.6605 – 1.1359 4.8432 w 11 w 12 w 13 w 14 w 10 𝑦 1 = 𝑓 𝑤 11 𝑤 12 𝑤 13 𝑤 14 𝑥 1 𝑥 2 𝑥 3 𝑥 4 + 𝑤 10 style.visibility style.visibility style.visibility style.visibility style.visibility style.visibility style.visibility style.visibility style.visibility style.visibility
– 0.7057 1.9061 2.6605 – 1.1359 4.8432 w 11 w 12 w 13 w 14 w 10 𝑦 1 = 𝑓 𝑤 11 𝑤 12 𝑤 13 𝑤 14 𝑥 1 𝑥 2 𝑥 3 𝑥 4 + 𝑤 10 w’ 11 w’ 12 w’ 13 w’ 10 – 1.1444 0.3115 – 9.9812 2.5230 𝑧 1 = 𝑓 𝑤 ′ 11 𝑤 ′ 12 𝑤 ′ 13 𝑦 1 𝑦 2 𝑦 3 + 𝑤 ′ 10 style.visibility style.visibility style.visibility style.visibility style.visibility style.visibility style.visibility style.visibility
Are there any other options to represent the output classes? After knowing the class label, if an input sample gives z = [0.8; 0.6], which class should it be classified to?
style.visibility style.visibility style.visibility
\ noindent $y_1 = f\big( 0.5 \times x_1 + 0 \times x_2 + 1 \times 0.2 \big)$\\ $y_2 = f \big( 0.3 \times x_1 – 0.7 \times x_2 \big)$
$\left[ \begin{array}{c} y_1 \\ y_2 \end{array} \right] = f\ Bigg ( \left[ \begin{array}{cc} 0.5 & 0 \\ 0.3 & -0.7 \end{array} \right] \left[ \begin{array}{c} x_1 \\ x_2 \end{array} \right] + \left[ \begin{array}{c} 0.2 \\ 0 \end{array} \right] \ Bigg )$ \\~\\ When $\ mathbf {x} = \left[ \begin{array}{c} 0.1 \\ 0.9 \end{array} \right]$, $\left[ \begin{array}{c} y_1 \\ y_2 \end{array} \right] = \left[ \begin{array}{c} 0.2449 \\ -0.5370 \end{array} \right]$. \\ $net = 0.8 y_1 + 1.6 y_2 -0.4 = -1.0633$, \\ $z_1 = f(net) = f(-1.0633) = -0.7869$. \ noindent Tansigmoid :\\ $f(x) = \ frac {2}{1+e^{-2x}} – 1 \in [-1, 1]$\\ $\ frac {d f(x)}{d x} = \ frac {4 e^{-2x}}{(1+e^{-2x})^2}$
style.visibility style.visibility style.visibility style.visibility style.visibility
\ noindent Considering $J = \ frac {1}{2}(\ mathbf {t} – z_1)^2$ and the weight $m_{10}$, we have $$z_1 = f(net) = \ frac {2}{1 + e^{-2 net}} – 1,$$ $$net = m_{11} y_1 + m_{12}
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