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neuroniniu-tinklu-metodai/Lab1/lab1.ipynb

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{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# 1. Įsidiekite programinę įrangą\n",
"import imageio.v3 as imageio\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import pandas\n",
"import sklearn"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# 2.1. Veiksmai su matricomis\n",
"# Pamėginkite įsivesti naujas matricas ir atlikti veiksmus su jomis.\n",
"\n",
"A = np.array([[1, 2], [3, 4]])\n",
"B = np.array([[1, 2], [3, 4]])\n",
"\n",
"C = A + B\n",
"D = A * B\n",
"E = np.matmul(A,B)\n",
"\n",
"print(\"C=\", C)\n",
"print(\"D=\", D)\n",
"print(\"E=\", E)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# 2.2. MSE skaičiavimas\n",
"# Išanalizuokite žemiau pateikta MSE skaičiavimo pavyzdį.\n",
"\n",
"x = np.arange(0, 5.0, 0.1)\n",
"y = np.sin(x)\n",
"y2 = y + np.random.normal(0,0.1,len(y))\n",
"\n",
"plt.plot(x, y)\n",
"plt.plot(x, y2)\n",
"plt.show()\n",
"\n",
"MSE = (1/len(y))*np.sum(np.power((y-y2),2))\n",
"\n",
"print(\"MSE=\", MSE)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# 2.3. Atlikite veiksmus su paveikslėliais\n",
"# Pamėginkite pritaikyti įvarias numpy, ndimage ir matplotlib funkcijas paveikslėliams.\n",
"\n",
"ktu = imageio.imread('assets/ktu.png')\n",
"new_ktu = np.full(ktu.shape, [0, 0, 0, 255])\n",
"\n",
"kernel_variant = 0\n",
"if kernel_variant == 0:\n",
" # Edge detection\n",
" kernel_coef = 1\n",
" kernel = np.array([\n",
" [ 0, -1, 0],\n",
" [-1, 4, -1],\n",
" [ 0, -1, 0]\n",
" ])\n",
"elif kernel_variant == 1:\n",
" # 3x3 Gaussian blur\n",
" kernel_coef = 1/16\n",
" kernel = np.array([\n",
" [1, 2, 1],\n",
" [2, 4, 2],\n",
" [1, 2, 1]\n",
" ])\n",
"\n",
"for y, row in enumerate(ktu):\n",
" for x, pixel in enumerate(row):\n",
" neighbour_sum = [0, 0, 0]\n",
" for dy, kernel_row in enumerate(kernel):\n",
" neighbour_y = y + dy - kernel.shape[0]//2\n",
" for dx, kernel_pixel_coeff in enumerate(kernel_row):\n",
" neighbour_x = x + dx - kernel.shape[1]//2\n",
"\n",
" if 0 <= neighbour_x < ktu.shape[0] and 0 <= neighbour_y < ktu.shape[1]:\n",
" neighbour_sum[0] += ktu[neighbour_y][neighbour_x][0] * kernel_pixel_coeff\n",
" neighbour_sum[1] += ktu[neighbour_y][neighbour_x][1] * kernel_pixel_coeff\n",
" neighbour_sum[2] += ktu[neighbour_y][neighbour_x][2] * kernel_pixel_coeff\n",
"\n",
" new_ktu[y][x] = [\n",
" neighbour_sum[0] * kernel_coef,\n",
" neighbour_sum[1] * kernel_coef,\n",
" neighbour_sum[2] * kernel_coef,\n",
" 255\n",
" ]\n",
"\n",
"plt.imshow(new_ktu)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 2.4. Išvestinių skaičiavimas\n",
"# Pakeiskite žingsnio ir kitus parametrus.\n",
"\n",
"delta_x = 0.01\n",
"\n",
"x = np.arange(0, 5.0, delta_x)\n",
"y = np.cos(x)+np.cos(6*x)\n",
"\n",
"dydx = np.diff(y)/delta_x\n",
"\n",
"plt.plot(x, y)\n",
"plt.plot(x[1:]-delta_x/2, dydx)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 2.5. Išvestinės skaičiavimas su np.gradient\n",
"# * Kodėl dydx_numerical ir dydx_analytical reikšmės nesutampa?\n",
"# Ats.: Nes 'dydx_numerical' tiktais aproksimuoja, sources: https://numpy.org/doc/stable/reference/generated/numpy.gradient.html\n",
"# O 'dydx_analytical' yra tiksli formulė išvesta ranka\n",
"#\n",
"# * Pakeiskite y=f(x) funkciją ir braižomus parametrus.\n",
"\n",
"x = np.linspace(-5, 5, 30)\n",
"dx = x[1]-x[0]\n",
"\n",
"y = np.sin(x)+np.cos(2*x)\n",
"#y = np.tan(x)+1/(2*x)\n",
"\n",
"dydx_numerical = np.gradient(y, dx)\n",
"dydx_analytical = np.cos(x)-2*np.sin(2*x)\n",
"\n",
"plt.plot(x, y)\n",
"plt.plot(x, dydx_numerical)\n",
"plt.plot(x, dydx_analytical)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.contour.QuadContourSet at 0x1ea68b5d410>"
]
},
"execution_count": 58,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 2.6. Gradientinio lauko radimas\n",
"# Išanalizuokite žemiau pateiktą kodą. Pamėginkite atvaizduoti kitas $z(x,y)$ funkcijas.\n",
"\n",
"feature_x = np.arange(-2, 2, 0.1)\n",
"feature_y = np.arange(-2, 2, 0.1)\n",
"\n",
"x, y = np.meshgrid(feature_x, feature_y)\n",
"\n",
"#z = x * np.exp(-(x**2 + y**2))\n",
"z = x * np.sin((x + y**2))\n",
"\n",
"u = 1*np.exp(-(x**2 + y**2))+x*np.exp(-(x**2 + y**2))*(-2*x)\n",
"v = x*np.exp(-(x**2 + y**2))*(-2*y)\n",
"\n",
"norm = np.linalg.norm(np.array((u, v)), axis=0)\n",
"u = u / norm\n",
"v = v / norm\n",
"\n",
"fig, ax = plt.subplots(1, 1)\n",
"ax.set_aspect(1)\n",
"ax.quiver(x, y, u, v, units='xy', scale=10, color='gray')\n",
"ax.contour(x, y, z, 10, cmap='jet')"
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"TensorFlow version: 2.15.0\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x1ea78389b10>"
]
},
"execution_count": 65,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 2.7. MNIST duomenų bazė\n",
"# Pamėginkite išsiaiškinti duomenų tipą ir juos atvaizduoti.\n",
"\n",
"import tensorflow as tf\n",
"print(\"TensorFlow version:\", tf.__version__)\n",
"\n",
"mnist = tf.keras.datasets.mnist\n",
"\n",
"(x_train, y_train), (x_test, y_test) = mnist.load_data()\n",
"x_train, x_test = x_train / 255.0, x_test / 255.0\n",
"\n",
"plt.imshow(x_train[1])"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" A B C D E F\n",
"0 1.0 2013-01-02 1.0 3 test foo\n",
"1 1.0 2013-01-02 1.0 3 train foo\n",
"2 1.0 2013-01-02 1.0 3 test foo\n",
"3 1.0 2013-01-02 1.0 3 train foo\n",
"21 Lower De Boom (21st Amendment Brewery)\n",
"32 Hop Crisis (21st Amendment Brewery)\n",
"70 London Balling (Against the Grain Brewery)\n",
"134 Quakertown Stout (Armadillo Ale Works)\n",
"171 Devils Tramping Ground Tripel (Aviator Brewing...\n",
" ... \n",
"2279 Lee Hill Series Vol. 4 - Manhattan Style Rye A...\n",
"2281 Lee Hill Series Vol. 3 - Barrel Aged Imperial ...\n",
"2286 Upslope Imperial India Pale Ale (Upslope Brewi...\n",
"2312 Voodoo Love Child (Voodoo Brewery)\n",
"2315 Gran Met (Voodoo Brewery)\n",
"Name: label, Length: 84, dtype: object\n"
]
}
],
"source": [
"# 2.8. Pandas biblioteka\n",
"# Išanalizuokite žemiau pateiktą kodą, pamėginkite rasti įvairių duomenų\n",
"# rinkinių internete ir jiems pritaikyti žemiau esantį kodą. Atlikite duomenų filtravimą,\n",
"# atvaizdavimą ir pritaikykite įvairiais Pandas bibliotekos funkcijas.\n",
"#\n",
"# https://pandas.pydata.org/docs/user_guide/10min.html\n",
"\n",
"\n",
"import pandas as pd\n",
"\n",
"df1 = pd.DataFrame({\n",
" \"A\": 1.0,\n",
" \"B\": pd.Timestamp(\"20130102\"),\n",
" \"C\": pd.Series(1, index=list(range(4)), dtype=\"float32\"),\n",
" \"D\": np.array([3] * 4, dtype=\"int32\"),\n",
" \"E\": pd.Categorical([\"test\", \"train\", \"test\", \"train\"]),\n",
" \"F\": \"foo\",\n",
"})\n",
"\n",
"print(df1)\n",
"\n",
"df2 = pd.read_csv('assets/beers.csv')\n",
"\n",
"print(df2[df2.abv>0.09].label)"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Ice Cream Profits')"
]
},
"execution_count": 80,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df = pd.read_csv('assets/Ice Cream Sales - temperatures.csv')\n",
"\n",
"df.sort_values('Ice Cream Profits', ascending=False, inplace=True)\n",
"\n",
"plt.plot(df['Temperature'], df['Ice Cream Profits'])\n",
"plt.xlabel('Temperature')\n",
"plt.ylabel('Ice Cream Profits')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}