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@ -9,12 +9,12 @@
\contentsline {subsection}{\numberline {1.2.3\relax .\enspace }Metody gradientowe}{15}%
\contentsline {section}{\numberline {1.3\relax .\enspace }Regresja liniowa jako model sieci neuronowej}{17}%
\contentsline {section}{\numberline {1.4\relax .\enspace }Funkcje aktywacji}{19}%
\contentsline {section}{\numberline {1.5\relax .\enspace }Wielowarstwowe sieci neuronowe}{19}%
\contentsline {subsection}{\numberline {1.5.1\relax .\enspace }Jednokierunkowe sieci neuronowe}{20}%
\contentsline {subsection}{\numberline {1.5.2\relax .\enspace }Autoencoder}{21}%
\contentsline {section}{\numberline {1.5\relax .\enspace }Wielowarstwowe sieci neuronowe}{20}%
\contentsline {subsection}{\numberline {1.5.1\relax .\enspace }Jednokierunkowe sieci neuronowe}{21}%
\contentsline {subsection}{\numberline {1.5.2\relax .\enspace }Autoenkoder}{21}%
\contentsline {subsection}{\numberline {1.5.3\relax .\enspace }Rekurencyjne sieci neuronowe}{22}%
\contentsline {subsection}{\numberline {1.5.4\relax .\enspace }LSTM}{23}%
\contentsline {subsection}{\numberline {1.5.5\relax .\enspace }Sequence-to-sequence}{26}%
\contentsline {subsection}{\numberline {1.5.5\relax .\enspace }Sequence-to-sequence}{25}%
\contentsline {chapter}{Rozdzia\PlPrIeC {\l }\ 2\relax .\enspace Wprowadzenie do teorii muzyki}{27}%
\contentsline {section}{\numberline {2.1\relax .\enspace }Podstawowe koncepcje muzyczne}{27}%
\contentsline {subsection}{\numberline {2.1.1\relax .\enspace }Dźwięk muzyczny}{27}%
@ -25,7 +25,7 @@
\contentsline {chapter}{Rozdzia\PlPrIeC {\l }\ 3\relax .\enspace Projekt}{35}%
\contentsline {section}{\numberline {3.1\relax .\enspace }Koncepcja}{35}%
\contentsline {section}{\numberline {3.2\relax .\enspace }Wstępne przygotowanie danych do treningu}{36}%
\contentsline {subsection}{\numberline {3.2.1\relax .\enspace }Muzyczne ,,słowo''}{36}%
\contentsline {subsection}{\numberline {3.2.1\relax .\enspace }Muzyczne słowo}{36}%
\contentsline {subsection}{\numberline {3.2.2\relax .\enspace }Konwersja MIDI na sekwencje słów muzycznych}{36}%
\contentsline {subsection}{\numberline {3.2.3\relax .\enspace }Inne aspekty przygotowania danych}{39}%
\contentsline {subsection}{\numberline {3.2.4\relax .\enspace }Podział danych na dane wejściowe i wyjściowe}{40}%
@ -33,17 +33,17 @@
\contentsline {section}{\numberline {3.3\relax .\enspace }Definicja modelu}{44}%
\contentsline {subsection}{\numberline {3.3.1\relax .\enspace }Model w trybie uczenia}{44}%
\contentsline {subsection}{\numberline {3.3.2\relax .\enspace }Model w trybie wnioskowania}{46}%
\contentsline {section}{\numberline {3.4\relax .\enspace }Transformacja danych dla modelu}{49}%
\contentsline {section}{\numberline {3.4\relax .\enspace }Transformacja danych dla modelu}{48}%
\contentsline {subsection}{\numberline {3.4.1\relax .\enspace }Enkodowanie one-hot}{49}%
\contentsline {subsection}{\numberline {3.4.2\relax .\enspace }Słownik}{49}%
\contentsline {subsection}{\numberline {3.4.3\relax .\enspace }Elementy specjalne}{50}%
\contentsline {subsection}{\numberline {3.4.4\relax .\enspace }Zakodowanie sekwencji}{50}%
\contentsline {subsection}{\numberline {3.4.4\relax .\enspace }Kodowanie sekwencji}{50}%
\contentsline {section}{\numberline {3.5\relax .\enspace }Ekperyment}{51}%
\contentsline {subsection}{\numberline {3.5.1\relax .\enspace }Oprogramowanie}{52}%
\contentsline {subsection}{\numberline {3.5.1\relax .\enspace }Oprogramowanie}{51}%
\contentsline {subsection}{\numberline {3.5.2\relax .\enspace }Zbiór danych}{52}%
\contentsline {subsection}{\numberline {3.5.3\relax .\enspace }Wydobycie danych}{52}%
\contentsline {section}{\numberline {3.6\relax .\enspace }Trenowanie modelu}{53}%
\contentsline {subsection}{\numberline {3.6.1\relax .\enspace }Generowanie muzyki przy pomocy wytrenowanych modeli}{54}%
\contentsline {subsection}{\numberline {3.6.2\relax .\enspace }Wyniki}{56}%
\contentsline {subsection}{\numberline {3.5.4\relax .\enspace }Trenowanie modelu}{53}%
\contentsline {subsection}{\numberline {3.5.5\relax .\enspace }Generowanie muzyki przy pomocy wytrenowanych modeli}{54}%
\contentsline {subsection}{\numberline {3.5.6\relax .\enspace }Wyniki}{56}%
\contentsline {chapter}{Podsumowanie}{61}%
\contentsline {chapter}{Bibliografia}{63}%

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@ -44,13 +44,15 @@ x = np.arange(-10,10, 0.1)
# y = np.arange(0,10)
tanh = lambda x: (exp(x) - exp(-x))/(exp(x) + exp(-x))
sigmoid = lambda x: 1/(1 + exp(-x))
y_hat = [tanh(yy) for yy in x]
# plt.scatter(x, y, c='k')
plt.plot(x, y_hat)
# plt.show()
fig = plt.Figure(figsize=(20,30))
plt.show()
# plt.labels
plt.savefig('tanh.png')
# plt.savefig('tanh.png')
#%%
# Gradient descent
@ -62,6 +64,8 @@ dx = 2x + c
#%%
func = lambda x: x**2
func_dx = lambda x:2*x
@ -71,14 +75,14 @@ y = func(x)
point_x = -6
point_y = func(point_x)
# styczna = lambda x: slope*x + intercept
dx = styczna(x)
# dx = styczna(x)
learning_points_xs = np.arange(point_x, 0, 0.8)
learning_points_ys = func(learning_points_xs)
fig, ax = plt.subplots()
fig, ax = plt.subplots(figsize=(3,3))
ax.plot(x, y, c='k')
for px in learning_points_xs[0:1]:
@ -86,22 +90,22 @@ for px in learning_points_xs[0:1]:
intercept = -px**2
styczna = lambda x: slope*x + intercept
dx = styczna(x)
ax.plot(x, dx, c='r', zorder=1)
# ax.plot(x, dx, c='r', zorder=1)
ax.scatter(x=point_x, y=point_y, c='r', zorder=6) #start
# ax.scatter(x=0, y=0, c='g', zorder=6) #min
# ax.scatter(x=learning_points_xs, y=learning_points_ys, c='y', zorder=5)
ax.scatter(x=0, y=0, c='g', zorder=6) #min
ax.scatter(x=learning_points_xs, y=learning_points_ys, c='y', zorder=5)
plt.ylim((-20,80))
plt.xlim((-20,20))
plt.xlim((-10,10))
# plt.xlabel('x')
# plt.ylabel('f(x) = x^2')
plt.savefig('gradient_descent_1.png')
fig.savefig('gradient_descent_2_long.png', dpi=300)
# https://towardsdatascience.com/understanding-the-mathematics-behind-gradient-descent-dde5dc9be06e?
# https://medium.com/code-heroku/gradient-descent-for-machine-learning-3d871fa48b4c
#%% sound wave
#import the pyplot and wavfile modules
@ -109,15 +113,16 @@ import matplotlib.pyplot as plot
from scipy.io import wavfile
# Read the wav file (mono)
samplingFrequency, signalData = wavfile.read('foo.wav')
samplingFrequency, signalData = wavfile.read(r'docs\images\foo.wav')
# Plot the signal read from wav file
# plot.title('Spectrogram of a wav file with piano music')
plot.plot(signalData)
plot.xlabel('Próbki')
plot.ylabel('Amplituda')
plot.savefig('waveform_axis.png')
# plot.show()
# plot.savefig('waveform_axis.png')
fig = plt.Figure(figsize=(2,15))
plot.show()
# print(samplingFrequency)

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