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This dataframe contains: - **independent variables** : filter observations - **dependent variables** : physical planet parameters
data= pk.load(open('wfirst_colors_dataframe.pk','rb')) data=data.dropna()[~data.dropna().isin([np.inf, -np.inf])].dropna() #drop infinities and nans #let's specicy our y of interest for this tutorial, feel free to play around with this yofinterest = 'metallicity' #lets also specify a filter set. Let's just focus on WFI...
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MIT
notebooks/4_StatsMethods.ipynb
natashabatalha/colorcolor
Explore Correlation Matrix: Fig 6 Batalha+2018In figure 6 we looked at the difference between the correlation matrix with and without the cloud sample
#lets look at only the cloud free sample corr_matrix = data.loc[(data['cloud']==0)].corr() fig, ax = plt.subplots(figsize=(25,10)) #here I am simplifying the image by adding in an absolute value #you can remove it if you are interested in seeing what is positive and nagatively correlated sns.heatmap(abs(corr_matrix),...
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MIT
notebooks/4_StatsMethods.ipynb
natashabatalha/colorcolor
Figure 6 in Batalha 2018 is a subset of this larger block
#lets look at everything corr_matrix = data.corr() fig, ax = plt.subplots(figsize=(25,10)) #here I am simplifying the image by adding in an absolute value #you can remove it if you are interested in seeing what is positive and nagatively correlated sns.heatmap(abs(corr_matrix), vmax=1, square=False, linewidths=.5, ax...
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MIT
notebooks/4_StatsMethods.ipynb
natashabatalha/colorcolor
** See immediately how there are less strongly correlated values for physical parameters versus filters??** Try Linear Discriminant Analysis For Classification
#try cloud free first subset = data.loc[(data['cloud']==0) & (data['phase']==90)] #separate independent X = subset.loc[:,filter_combinations] #and dependent variables (also this make it a string so we can turn it into a label) y = subset[yofinterest].astype(str) lda_values=stats.lda_analysis(X,y)
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MIT
notebooks/4_StatsMethods.ipynb
natashabatalha/colorcolor
These warnings are coming up because we have used both absolute and relative filters. Because LDA, like regression techniques involves computing a matrix inversion, which is inaccurate if the determinant is close to 0 (i.e. two or more variables are almost a linear combination of each other). This means that our relati...
#Now lets unconstrain the phase subset = data.loc[(data['cloud']==0)] #separate independent X = subset.loc[:,filter_combinations] #and dependent variables (also this make it a string so we can turn it into a label) y = subset[yofinterest].astype(str) lda_values=stats.lda_analysis(X,y) #Now lets unconstrain everythi...
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MIT
notebooks/4_StatsMethods.ipynb
natashabatalha/colorcolor
Preparação bases de treinamento e testes
clean_df = pd.DataFrame(columns=df.columns, index=df.index) residual_df = pd.DataFrame(columns=df.columns, index=df.index) for col in df.columns: residual, clean = remove_periodic(df[col].tolist(), df.index, frequency_threshold=0.01e12) clean_df[col] = clean.tolist() residual_df[col] = residual.tolist() tr...
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MIT
notebooks/180425 - Oahu Mean Shift.ipynb
cseveriano/spatio-temporal-forecasting
Mean Shift Normalização dos dados
from sklearn import preprocessing x = ms_df.values #returns a numpy array min_max_scaler = preprocessing.MinMaxScaler() x_scaled = min_max_scaler.fit_transform(x) bandwidth bandwidth = estimate_bandwidth(x_scaled, quantile=0.2, n_samples=int(len(ms_df)*0.1), n_jobs=-1) ms = MeanShift(bandwidth=bandwidth, n_jobs=-1) ms...
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MIT
notebooks/180425 - Oahu Mean Shift.ipynb
cseveriano/spatio-temporal-forecasting
loading an image
from PIL import Image im = Image.open("lena.png")
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MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
examine the file contents
from __future__ import print_function print(im.format, im.size, im.mode)
PNG (512, 512) RGB
MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
- The *format* attribute identifies the source of an image. If the image was not read from a file, it is set to None. - The *size* attribute is a 2-tuple containing width and height (in pixels). - The *mode* attribute defines the number and names of the bands in the image, let’s display the image we just loaded
im.show()
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MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
- The standard version of show() is not very efficient, since it saves the image to a temporary file and calls the xv utility to display the image. If you don’t have xv installed, it won’t even work. When it does work though, it is very handy for debugging and tests. Reading and writing images - Python Imaging Library...
## ------------ignore-------------- from __future__ import print_function import os, sys from PIL import Image for infile in sys.argv[1:]: f, e = os.path.splitext(infile) outfile = f + ".jpg" if infile != outfile: try: Image.open(infile).save(outfile) except IOError: ...
.ipynb_checkpoints .ipynb_checkpoints.jpg cannot convert .ipynb_checkpoints lena .jpg lena.jpg lena .png lena.jpg converted lena.png to lena.jpg Python Imaging Library .ipynb Python Imaging Library.jpg cannot convert Python Imaging Library.ipynb
MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
Create JPEG thumbnails
from __future__ import print_function import os, sys from PIL import Image size = (128, 128) for infile in os.listdir(os.getcwd()): outfile = os.path.splitext(infile)[0] + ".thumbnail" print(infile, outfile) if infile != outfile: try: im = Image.open(infile) im.thumbnail(si...
('how/are/you/a', '.png')
MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
- It is important to note that the library doesn’t decode or load the raster data unless it really has to. When you open a file, the file header is read to determine the file format and extract things like mode, size, and other properties required to decode the file, but the rest of the file is not processed until late...
from __future__ import print_function import sys from PIL import Image for infile in os.listdir(os.getcwd()): #print(infile) try: with Image.open(infile) as im: print(infile, im.format, "%dx%d" % im.size, im.mode) print(type(im.size)) except IOError: pass
lena.jpg JPEG 512x512 RGB <class 'tuple'> lena.png PNG 512x512 RGB <class 'tuple'> lena.thumbnail JPEG 128x128 RGB <class 'tuple'>
MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
Cutting, pasting, and merging images - The Image class contains methods allowing you to manipulate regions within an image. To extract a sub-rectangle from an image, use the crop() method. Copying a subrectangle from an image
im = Image.open("lena.png") box = (100, 100, 400, 400) region = im.crop(box)
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MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
- The region could now be processed in a certain manner and pasted back. Processing a subrectangle, and pasting it back
region = region.transpose(Image.ROTATE_180) im.paste(region, box) im.show() im.save('pasted.png')
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MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
Rolling an image
def roll(image, delta): "Roll an image sideways" xsize, ysize = image.size #width and height delta = delta % xsize if delta == 0: return image part1 = image.crop((0, 0, delta, ysize)) part2 = image.crop((delta, 0, xsize, ysize)) image.paste(part2, (0, 0, xsize-delta, ysize)) image.pas...
(512, 512)
MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
Splitting and merging bands
im = Image.open("lena.png") r, g, b = im.split() im1 = Image.merge("RGB", (b, g, r)) im2 = Image.merge("RGB", (r, r, r)) im3 = Image.merge("RGB", (g, g, g)) im4 = Image.merge("RGB", (b, b, b)) im5 = Image.merge("RGB", (g, r, b)) print(im1.mode) #im1.show() #im2.show() #im3.show() #im4.show() im5.show()
RGB
MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
- Note that for a single-band image, split() returns the image itself. To work with individual color bands, you may want to convert the image to “RGB” first. Geometrical transforms - The PIL.Image.Image class contains methods to resize() and rotate() an image. The former takes a tuple giving the new size, the latter t...
im = Image.open("lena.png") out = im.resize((128, 128)) out.show() out = im.rotate(45) # degrees counter-clockwise out.show() out.save('rotated.png')
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MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
- To rotate the image in 90 degree steps, you can either use the rotate() method or the transpose() method. The latter can also be used to flip an image around its horizontal or vertical axis. Transposing an image
out = im.transpose(Image.FLIP_LEFT_RIGHT) out.save('transposing/l2r.png') out = im.transpose(Image.FLIP_TOP_BOTTOM) out.save('transposing/t2b.png') out = im.transpose(Image.ROTATE_90) out.save('transposing/90degree.png') out = im.transpose(Image.ROTATE_180) out.save('transposing/180degree.png') out = im.transpose(Image...
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MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
- There’s no difference in performance or result between **transpose(ROTATE)** and corresponding **rotate()** operations. - A more general form of image transformations can be carried out via the transform() method. Color transforms - The Python Imaging Library allows you to convert images between different pixel repr...
im = Image.open("lena.png").convert("L") im.show()
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MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
- The library supports transformations between each supported mode and the “L” and “RGB” modes. To convert between other modes, you may have to use an intermediate image (typically an “RGB” image). Image enhancement Applying filters - The **ImageFilter** module contains a number of pre-defined enhancement filters tha...
# multiply each pixel by 1.2 im = Image.open("lena.png") im.save('point/orig.png') out = im.point(lambda i: i * 1.2) out.save('point/out.png')
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MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
- Using the above technique, you can quickly apply any simple expression to an image. You can also combine the point() and paste() methods to selectively modify an image: Processing individual bands
im = Image.open("lena.png") # split the image into individual bands source = im.split() R, G, B = 0, 1, 2 # select regions where red is less than 100 mask = source[R].point(lambda i: i < 100 and 255) # if i < 100 returns 255 else returns false(0) # process the green band out = source[G].point(lambda i: i * 0.7) # ...
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MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
- Python only evaluates the portion of a logical expression as is necessary to determine the outcome, and returns the last value examined as the result of the expression. So if the expression above is false (0), Python does not look at the second operand, and thus returns 0. Otherwise, it returns 255. Enhancement
from PIL import Image from PIL import ImageEnhance im = Image.open("lena.png") enh = ImageEnhance.Contrast(im) enh.enhance(1.3).show("30% more contrast")
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MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
Image sequences Reading sequences
from PIL import Image im = Image.open("animation.gif") im.seek(1) # skip to the second frame try: while 1: im.seek(im.tell()+1) im.show() # do something to im except EOFError as e: print(e) pass # end of sequence
no more images in GIF file
MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
A sequence iterator class
from PIL import Image im = Image.open("animation.gif") class ImageSequence: def __init__(self, im): self.im = im def __getitem__(self, ix): try: if ix: self.im.seek(ix) return self.im except EOFError: print('ddd') raise Ind...
ddd
MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
Postscript printing Drawing Postscript
from PIL import Image from PIL import PSDraw im = Image.open("lena.png") title = "lena" box = (1*72, 2*72, 7*72, 10*72) # in points ps = PSDraw.PSDraw() # default is sys.stdout ps.begin_document(title) # draw the image (75 dpi) ps.image(box, im, 75) ps.rectangle(box) # draw title ps.setfont("HelveticaNarrow-Bold", ...
%!PS-Adobe-3.0 save /showpage { } def %%EndComments %%BeginDocument /S { show } bind def /P { moveto show } bind def /M { moveto } bind def /X { 0 rmoveto } bind def /Y { 0 exch rmoveto } bind def /E { findfont dup maxlength dict begin { 1 index /FID ne { def } { pop pop } ifelse ...
MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
More on reading images Reading from an open file
fp = open("lena.png", "rb") im = Image.open(fp) im.show()
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MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
Reading from a string
!pip install StringIO import StringIO im = Image.open(StringIO.StringIO(buffer))
ERROR: Could not find a version that satisfies the requirement StringIO ERROR: No matching distribution found for StringIO
MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
Reading from a tar archive
from PIL import TarIO fp = TarIO.TarIO("Imaging.tar", "lena.png") im = Image.open(fp)
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MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
Controlling the decoder Reading in draft mode
from __future__ import print_function from PIL import Image im = Image.open('lena.png') print("original =", im.mode, im.size) im.draft("L", (100, 100)) print("draft =", im.mode, im.size)
original = RGB (512, 512) draft = RGB (512, 512)
MIT
Deep Learning Guide/8. Pillow image processing/.ipynb_checkpoints/Python Imaging Library-checkpoint.ipynb
nomancseku/NSL-HW
Execute the following block of code by selecting it and clicking ``ctrl + enter`` to create an ``NvidiaRacecar`` class.
from jetracer.nvidia_racecar import NvidiaRacecar car = NvidiaRacecar()
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MIT
notebooks/basic_motion.ipynb
rezaarrazi/jetracer
The ``NvidiaRacecar`` implements the ``Racecar`` class, so it has two attributes ``throttle`` and ``steering``. We can assign values in the range ``[-1, 1]`` to these attributes. Execute the following to set the steering to 0.4.> If the car does not respond, it may still be in ``manual`` mode. Flip the manual overrid...
car.steering = 0.3
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MIT
notebooks/basic_motion.ipynb
rezaarrazi/jetracer
The ``NvidiaRacecar`` class has two values ``steering_gain`` and ``steering_bias`` that can be used to calibrate the steering.We can view the default values by executing the cells below.
print(car.steering_gain) print(car.steering_offset)
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MIT
notebooks/basic_motion.ipynb
rezaarrazi/jetracer
The final steering value is computed using the equation$y = a \times x + b$Where,* $a$ is ``car.steering_gain``* $b$ is ``car.steering_offset``* $x$ is ``car.steering``* $y$ is the value written to the motor driverYou can adjust these values calibrate the car so that setting a value of ``0`` moves forward, and setting ...
car.throttle = 0.0
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MIT
notebooks/basic_motion.ipynb
rezaarrazi/jetracer
The throttle also has a gain value that could be used to control the speed response. The throttle output is computed as$y = a \times x$Where,* $a$ is ``car.throttle_gain``* $x$ is ``car.throttle``* $y$ is the value written to the speed controllerExecute the following to print the default gain
print(car.throttle_gain)
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MIT
notebooks/basic_motion.ipynb
rezaarrazi/jetracer
Set the following to limit the throttle to half
car.throttle_gain = 0.5
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MIT
notebooks/basic_motion.ipynb
rezaarrazi/jetracer
Verification: 2D-preliminar
# calculate geometry rf = 1.27/2 - 0.0125 # cm rg = 1.27/2 # cm rc = 1.59/2 # cm rm = 1.885 - rc # cm rg2 = rm - 0.01; rc2 = np.sqrt(rc**2 + rm**2) rc2 # coolant flow and film thermal conductivity rho = 4.94e-6 # kg/cm3 cp = 5.188e3 # J/kg/K mlc = 0.0176 # kg/s v = mlc/rho/np.pi/rc**2 print('v: ', v, 'cm/s') mu ...
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BSD-3-Clause
moltres-thermal-fluids/verification/notes.ipynb
arfc/mhtgr350-benchmark
Trabajando con opciones Una opción puede negociarse en el mercado secundario por lo que es importante determinar su valor $V_t$ para cada tiempo $t\in [0, T]$. La ganancia que obtiene quién adquiere la opción se llama función de pago o "payoff" y claramente depende del valor del subyacente. Hay una gran variedad de op...
#importar los paquetes que se van a usar import pandas as pd import pandas_datareader.data as web import numpy as np import datetime import matplotlib.pyplot as plt import scipy.stats as st import seaborn as sns %matplotlib inline #algunas opciones para Pandas pd.set_option('display.notebook_repr_html', True) pd.set_op...
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
Usando el paquete `pandas_datareader` también podemos descargar datos de opciones. Por ejemplo, descarguemos los datos de las opciones cuyo activo subyacente son las acciones de Apple
aapl = web.YahooOptions('AAPL') aapl_opt = aapl.get_all_data().reset_index() aapl_opt.set_index('Expiry') # aapl
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
Precio del activo subyacente
aapl_opt.Underlying_Price[0]
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
Datos de la opción
aapl_opt.loc[0, 'JSON']
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
Conceptos claves- El precio de la oferta ('bid') se refiere al precio más alto que un comprador pagará por un activo.- El precio de venta ('ask') se refiere al precio más bajo que un vendedor aceptará por un activo.- La diferencia entre estos dos precios se conoce como 'spread'; cuanto menor es el spread, mayor es la ...
aapl_opt.loc[:, 'Type']
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
o en que fecha expiran
pd.set_option('display.max_rows', 10) aapl_opt.loc[:, 'Expiry']
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
Por otra parte, podríamos querer consultar todas las opciones de compra (call) que expiran en cierta fecha (2020-06-19)
fecha1 = '2021-06-18' fecha2 = '2022-09-16' call06_f1 = aapl_opt.loc[(aapl_opt.Expiry== fecha1) & (aapl_opt.Type=='call')] call06_f2 = aapl_opt.loc[(aapl_opt.Expiry== fecha2) & (aapl_opt.Type=='call')] call06_f1
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
2. ¿Qué es la volatilidad implícita? **Volatilidad:** desviación estándar de los rendimientos.- ¿Cómo se calcula?- ¿Para qué calcular la volatilidad? - **Para valuar derivados**, por ejemplo **opciones**.- Método de valuación de riesgo neutral (se supone que el precio del activo $S_t$ no se ve afectado por el riesgo d...
# para los call de la fecha 1 ax = call06_f1.set_index('Strike').loc[:, 'IV'].plot(figsize=(8,6)) ax.axvline(call06_f1.Underlying_Price.iloc[0], color='g'); # para los call de la fecha 2 ax = call06_f2.set_index('Strike').loc[:, 'IV'].plot(figsize=(8,6)) ax.axvline(call06_f2.Underlying_Price.iloc[0], color='g');
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
Analicemos ahora datos de los `put`
put06_f1 = aapl_opt.loc[(aapl_opt.Expiry==fecha1) & (aapl_opt.Type=='put')] put06_f1
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
Para los `put` de la `fecha 1`
ax = put06_f1.set_index('Strike').loc[:, 'IV'].plot(figsize=(8,6)) ax.axvline(put06_f1.Underlying_Price.iloc[0], color='g')
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
Con lo que hemos aprendido, deberíamos ser capaces de crear una función que nos devuelva un `DataFrame` de `pandas` con los precios de cierre ajustados de ciertas compañías en ciertas fechas:- Escribir la función a continuación
# Función para descargar precios de cierre ajustados: def get_adj_closes(tickers, start_date=None, end_date=None): # Fecha inicio por defecto (start_date='2010-01-01') y fecha fin por defecto (end_date=today) # Descargamos DataFrame con todos los datos closes = web.DataReader(name=tickers, data_source='yaho...
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
- Obtener como ejemplo los precios de cierre de Apple del año pasado hasta la fecha. Graficar...
ticker = ['AAPL'] start_date = '2017-01-01' closes_aapl = get_adj_closes(ticker, start_date) closes_aapl.plot(figsize=(8,5)); plt.legend(ticker);
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
- Escribir una función que pasándole el histórico de precios devuelva los rendimientos logarítmicos:
def calc_daily_ret(closes): return np.log(closes/closes.shift(1)).iloc[1:]
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
- Graficar...
ret_aapl = calc_daily_ret(closes_aapl) ret_aapl.plot(figsize=(8,6));
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
También, descargar datos de opciones de Apple:
aapl = web.YahooOptions('AAPL') aapl_opt = aapl.get_all_data().reset_index() aapl_opt.set_index('Expiry').sort_index() K = 110 # strike price indice_opt = aapl_opt.loc[(aapl_opt.Type=='call') & (aapl_opt.Strike==K) & (aapl_opt.Expiry=='2021-01-15')] indice_opt i_opt= indice_opt.index opcion_valuar = aapl_opt.loc[i_opt[...
Precio del activo subyacente actual = 115.17
MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
Simulación de precios usando rendimiento simple y logarítmico ![image.png](attachment:image.png) ![image.png](attachment:image.png) ![image.png](attachment:image.png) * Comenzaremos por suponer que los rendimientos son un p.e. estacionario que distribuyen $\mathcal{N}(\mu,\sigma)$. Rendimiento Simple
# Obtenemos el rendimiento simple Ri = closes_aapl.pct_change(1).iloc[1:] # Obtenemos su media y desviación estándar de los rendimientos mu_R = Ri.mean()[0] sigma_R = Ri.std()[0] Ri opcion_valuar.Expiry from datetime import date # Encontrar la fecha de hoy en formato timestamp today = pd.Timestamp(date.today()) # Obt...
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
Mostrar como simular precios usando los rendimientos 1. Usando rendimiento simple
# Simular los rendimientos # Rendimiento diario dt = 1 # Z ~ N(0,1) normal estándar (ndays, nscen) Z = np.random.randn(ndays, nscen) # Simulación normal de los rendimientos Ri_dt = pd.DataFrame(mu_R * dt + Z * sigma_R * np.sqrt(dt), index=dates) # Simulación del precio S_0 = closes_aapl.iloc[-1,0] S_T = S_0*(1+Ri_d...
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
2. Rendimiento Logarítmico
# Calcular rendimiento logarítmico ri = calc_daily_ret(closes_aapl) # Usando la media y desviación estándar de los rendimientos logarítmicos mu_r = ri.mean()[0] sigma_r = ri.std()[0] # Simulación del rendimiento Z = np.random.randn(ndays, nscen) sim_ret_ri = pd.DataFrame(mu_r * dt + Z * sigma_r * np.sqrt(dt), index=d...
Las std usando rendimientos logarítmicos y simples son similares
MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
Con los precios simulados debemos de encontrar el valor de la opción según la función de pago correspondiente. Para este caso es:$$max(S_T - K,0)$$
opcion_valuar['JSON']
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
Valuación usando el modelo de Black and ScholesLos supuestos que hicieron Black y Scholes cuando dedujeron su fórmula para la valoración de opciones fueron los siguientes:1. El comportamiento del precio de la acción corresponde al modelo logarítmico normal, con $\mu$ y $\sigma$constantes.2. No hay costos de transición...
mu = ret_aapl.mean()[0] sigma = ret_aapl.std()[0] mu, sigma
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
No se toma la media sino la tasa libre de riesgo> Referencia: https://www.treasury.gov/resource-center/data-chart-center/interest-rates/Pages/TextView.aspx?data=yield
# Tasa de bonos de 1 yr de fecha 11/24/20 -> 0.11% r = 0.0011/360 # Tasa diaria
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
- Simularemos el tiempo de contrato desde `HOY` hasta la fecha de `Expiry`, 10 escenarios: - Generar fechas
from datetime import date today = pd.Timestamp(date.today()) expiry = opcion_valuar.Expiry nscen = 10 dates = pd.date_range(start=today, periods = ndays) ndays = len(dates)
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
- Generamos 10 escenarios de rendimientos simulados y guardamos en un dataframe
sim_ret = pd.DataFrame(sigma*np.random.randn(ndays,nscen)+r, index=dates) sim_ret.cumsum() # Las columnas son los escenarios y las filas son las días de contrato
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
- Con los rendimientos simulados, calcular los escenarios de precios respectivos:
S0 = closes_aapl.iloc[-1,0] # Condición inicial del precio a simular sim_closes = S0*np.exp(sim_ret.cumsum()) sim_closes
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
- Graficar:
sim_closes.plot(figsize=(8,6)); # Se muestran los precios simulados con los precios descargados pd.concat([closes_aapl,sim_closes]).plot(figsize=(8,6)); K = opcion_valuar.Strike call = np.exp(-r*ndays) * np.fmax(S_T - K, 0).mean(axis=1) call opcion_valuar['JSON'] # sigma = 0.3064034204101562/np.sqrt(252) # sigma from ...
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
La valuación de la opción es:
call.iloc[-1]
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
Intervalo de confianza del 99%
confianza = 0.99 sigma_est = sim_closes.iloc[-1].sem() mean_est = call.iloc[-1].Prima i2 = st.norm.interval(confianza, loc=mean_est, scale=sigma_est) print(i2) opcion_valuar['JSON']
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
Precios simulados usando técnicas de reducción de varianza
# Usando muestreo estratificado----> #estratros = nscen U = (np.arange(0,nscen)+np.random.rand(ndays,nscen))/nscen Z = st.norm.ppf(U) sim_ret2 = pd.DataFrame(sigma*Z+r,index=dates) sim_closes2 = S0*np.exp(sim_ret.cumsum()) # Función de pago strike = pd.DataFrame(K*np.ones([ndays,nscen]), index=dates) call = pd.DataFr...
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
La valuación de la opción es:
call.iloc[-1]
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
Intervalo de confianza del 99%
confianza = 0.99 sigma_est = sim_closes2.iloc[-1].sem() mean_est = call.iloc[-1].Prima i2 = st.norm.interval(confianza, loc=mean_est, scale=sigma_est) print(i2)
(9.179939817813485, 9.255166213304454)
MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
Análisis de la distribución de los rendimientos Ajustando norm
ren = calc_daily_ret(closes_aapl) # rendimientos y,x,des = plt.hist(ren['AAPL'],bins=50,density=True,label='Histograma rendimientos') mu_fit,sd_fit = st.norm.fit(ren) # Se ajustan los parámetros de una normal # Valores máximo y mínimo de los rendiemientos a generar ren_max = max(x);ren_min = min(x) # Vector de rendim...
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
Ajustando t
# rendimientos ren = calc_daily_ret(closes_aapl) # Histograma de los rendimientos y, x, _ = plt.hist(ren['AAPL'], bins=50, density=True, label='Histograma rendimientos') # Se ajustan los parámetros de una distribución dist = 't' params = getattr(st, dist).fit(ren.values) # Generación de la pdf de la distribución ...
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
3. Valuación usando simulación: uso del histograma de rendimientosTodo el análisis anterior se mantiene. Solo cambia la forma de generar los números aleatorios para la simulación montecarlo.Ahora, generemos un histograma de los rendimientos diarios para generar valores aleatorios de los rendimientos simulados. - Prime...
nscen = 10
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
- Del histograma anterior, ya conocemos las probabilidades de ocurrencia, lo que se llamó como variable `y`
prob = y/np.sum(y) values = x[1:] prob.sum()
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
- Con esto, generamos los números aleatorios correspondientes a los rendimientos (tantos como días por número de escenarios).
dates = pd.date_range(start=Hoy,end=opcion_valuar.Expiry, freq='B') ndays = len(dates) ret = np.random.choice(values, ndays*nscen, p=prob) sim_ret_hist = pd.DataFrame(ret.reshape((ndays,nscen)),index=dates) sim_ret_hist sim_closes_hist = (closes_aapl.iloc[-1,0])*np.exp(sim_ret_hist.cumsum()) sim_closes_hist sim_close...
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MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
Intervalo de confianza del 95%
confianza = 0.95 sigma_est = sim_closes_hist.iloc[-1].sem() mean_est = call_hist.iloc[-1].Prima i2 = st.norm.interval(confianza, loc=mean_est, scale=sigma_est) print(i2)
(9.03172920765023, 9.59548003107524)
MIT
TEMA-3/Clase23_ValuacionOpciones.ipynb
duarteandres/SPF-2020-II-G1
Mesh visualisationWe are now going to have a look at different mesh visualisation options. We are going to use the following mesh:
import discretisedfield as df p1 = (0, 0, 0) p2 = (100e-9, 50e-9, 20e-9) n = (20, 10, 4) region = df.Region(p1=p1, p2=p2) mesh = df.Mesh(region=region, n=n)
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BSD-3-Clause
tutorials/mesh-visualisation.ipynb
askeyjw/workshop
Same as the region object, there are two main ways how we can visualise mesh in `discretisedfield`:1. Using `matplotlib` (static 2D plots, usually with some tricks to make them look 3D)2. Using `k3d` (interactive 3D plots)All `matplotlib` method names start with `mpl`, whereas all `k3d` plots start with `k3d`. We will ...
mesh.mpl()
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BSD-3-Clause
tutorials/mesh-visualisation.ipynb
askeyjw/workshop
`mpl` plots two cubic regions. The larger one corresponds to the region and the smaller one to the discretisation cell. Without passing any parameters to `mpl` function, some default settings are chosen. We can see that `matplotlib` is not good in showing the right proportions of the region. More precisely, we know tha...
# NBVAL_IGNORE_OUTPUT mesh.k3d()
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BSD-3-Clause
tutorials/mesh-visualisation.ipynb
askeyjw/workshop
Similar to the `mpl` plot, we can see the region as well as the discretisation cell in this plot. This can be useful to get an impression of the discretisation cell size with respect to the region we discretise. `k3d` plot is an interactive plot, which we can zoom, rotate, etc. In addition, a small contol panel is show...
mesh.mpl()
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BSD-3-Clause
tutorials/mesh-visualisation.ipynb
askeyjw/workshop
If we want to change the figure size, we can pass `figsize` parameter. Its value must be a lenth-2 tuple, with the first element being the size in the horizontal direction, whereas the second element is the size in the vertical direction.
region.mpl(figsize=(10, 5))
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BSD-3-Clause
tutorials/mesh-visualisation.ipynb
askeyjw/workshop
The color of the lines depicting the region and the discretisation cell we can choose by passing `color` argument. `color` must be a lenght-2 tuple which consists of valid `matplotlib` colours. For instance, it can be a pair of RGB hex-strings ([online converter](http://www.javascripter.net/faq/rgbtohex.htm)). The firs...
mesh.mpl(color=('#9400D3', '#0000FF'))
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BSD-3-Clause
tutorials/mesh-visualisation.ipynb
askeyjw/workshop
`discretisedfield` automatically chooses the SI prefix (nano, micro, etc.) it is going to use to divide the axes with and show those units on the axes. Sometimes (e.g. for thin films), `discretisedfield` does not choose the SI prefix we expected. In those cases, we can explicitly pass it using `multiplier` argument. ``...
mesh.mpl(multiplier=1e-6)
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BSD-3-Clause
tutorials/mesh-visualisation.ipynb
askeyjw/workshop
If we want to save the plot, we pass `filename`, mesh plot is going to be shown and the plot saved in our working directory as a PDF.
mesh.mpl(filename='my-mesh-plot.pdf')
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BSD-3-Clause
tutorials/mesh-visualisation.ipynb
askeyjw/workshop
`mpl` mesh plot is based on [`matplotlib.pyplot.plot` function](https://matplotlib.org/3.2.1/api/_as_gen/matplotlib.pyplot.plot.html). Therefore, any parameter accepted by it can be passed. For instance:
mesh.mpl(marker='o', linestyle='dashed')
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BSD-3-Clause
tutorials/mesh-visualisation.ipynb
askeyjw/workshop
Finally, we show how to expose the axes on which the mesh is plotted, so that we can customise them. We do that by creating the axes ourselves and then passing them to `mpl` function.
import matplotlib.pyplot as plt # Create the axes fig = plt.figure(figsize=(8, 5)) ax = fig.add_subplot(111, projection='3d') # Add the region to the axes mesh.mpl(ax=ax) # Customise the axes ax.set_xlabel('length') ax.set_ylabel('width') ax.set_zlabel('height')
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BSD-3-Clause
tutorials/mesh-visualisation.ipynb
askeyjw/workshop
This way, by exposing the axes and passing any allowed `matplotlib.pyplot.plot` argument, we can customise the plot any way we like (as long as it is allowed by `matplotlib`). `k3d`Default k3d plot is:
# NBVAL_IGNORE_OUTPUT mesh.k3d()
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BSD-3-Clause
tutorials/mesh-visualisation.ipynb
askeyjw/workshop
If we want to change the color, we can pass `color` argument. It is a length-2 tuple of integer colours. The first number in the tuple is the colour of the region, whereas the second colour is the colour of the discretisation cell.
# NBVAL_IGNORE_OUTPUT mesh.k3d(color=(754321, 123456))
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BSD-3-Clause
tutorials/mesh-visualisation.ipynb
askeyjw/workshop
Similar to the `mpl` plot, we can change the axes multiplier.
# NBVAL_IGNORE_OUTPUT mesh.k3d(multiplier=1e-6)
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BSD-3-Clause
tutorials/mesh-visualisation.ipynb
askeyjw/workshop
`k3d` plot is based on [k3d.voxels](https://k3d-jupyter.org/k3d.htmlk3d.factory.voxels), so any parameter accepted by it can be passed. For instance:
# NBVAL_IGNORE_OUTPUT mesh.k3d(opacity=0.2)
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BSD-3-Clause
tutorials/mesh-visualisation.ipynb
askeyjw/workshop
We can also expose `k3d.Plot` object and customise it.
# NBVAL_IGNORE_OUTPUT import k3d # Expose plot object plot = k3d.plot() plot.display() # Add region to the plot mesh.k3d(plot=plot) # Customise the plot plot.axes = [r'\text{length}', r'\text{width}', r'\text{height}']
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BSD-3-Clause
tutorials/mesh-visualisation.ipynb
askeyjw/workshop
Hello World Text DetectionA very basic introduction to OpenVINO that shows how to do text detection on a given IR model.We use the [horizontal-text-detection-0001](https://docs.openvinotoolkit.org/latest/omz_models_model_horizontal_text_detection_0001.html) model from [Open Model Zoo](https://github.com/openvinotoolki...
import numpy as np import cv2 import matplotlib.pyplot as plt import numpy as np from openvino.inference_engine import IECore
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Apache-2.0
notebooks/004-hello-detection/004-hello-detection.ipynb
bdattoma/openvino_notebooks
Load the Model
ie = IECore() net = ie.read_network( model="model/horizontal-text-detection-0001.xml", weights="model/horizontal-text-detection-0001.bin", ) exec_net = ie.load_network(net, "CPU") output_layer_ir = next(iter(exec_net.outputs)) input_layer_ir = next(iter(exec_net.input_info))
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Apache-2.0
notebooks/004-hello-detection/004-hello-detection.ipynb
bdattoma/openvino_notebooks
Load an Image
# Text detection models expects image in BGR format image = cv2.imread("data/intel_rnb.jpg") # N,C,H,W = batch size, number of channels, height, width N, C, H, W = net.input_info[input_layer_ir].tensor_desc.dims # Resize image to meet network expected input sizes resized_image = cv2.resize(image, (W, H)) # Reshape t...
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Apache-2.0
notebooks/004-hello-detection/004-hello-detection.ipynb
bdattoma/openvino_notebooks
Do Inference
result = exec_net.infer(inputs={input_layer_ir: input_image}) # Extract list of boxes from results boxes = result["boxes"] # Remove zero only boxes boxes = boxes[~np.all(boxes == 0, axis=1)]
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Apache-2.0
notebooks/004-hello-detection/004-hello-detection.ipynb
bdattoma/openvino_notebooks
Visualize Results
# For each detection, the description has the format: [x_min, y_min, x_max, y_max, conf] # Image passed here is in BGR format with changed width and height. To display it in colors expected by matplotlib we use cvtColor funtion def convert_result_to_image(bgr_image, resized_image, boxes, threshold=0.3, conf_labels=Tr...
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Apache-2.0
notebooks/004-hello-detection/004-hello-detection.ipynb
bdattoma/openvino_notebooks
Sin CythonEste programa genera $N$ enteros aleatorios entre $1$ y $M$, y una vez obtenidos los&nbsp; eleva al cuadrado y devuelve la suma de los cuadrados. Por tanto, calcula el cuadrado de la longitud&nbsp; de un vector aleatorio con coordenadas enteros en el intervalo $[1,M]$.
def cuadrados(N,M): res = 0 for muda in xrange(N): x = randint(1,M) res += x*x return res for n in srange(3,8): %time A = cuadrados(10^n,10^6)
CPU times: user 5.61 ms, sys: 263 µs, total: 5.87 ms Wall time: 6.09 ms CPU times: user 44.7 ms, sys: 0 ns, total: 44.7 ms Wall time: 57.6 ms CPU times: user 477 ms, sys: 57.1 ms, total: 534 ms Wall time: 480 ms CPU times: user 4.39 s, sys: 130 ms, total: 4.52 s Wall time: 4.42 s CPU times: user 43.3 s, sys: 403 ms, to...
Apache-2.0
2_Curso/Laboratorio/SAGE-noteb/IPYNB/PROBA/114-PROBA-Generador-cython.ipynb
AlejandroSantorum/Apuntes_Mat_IngInf
Con CythonMismo c&aacute;lculo:
%%cython import math import random def cuadrados_cy(long long N, long long M): cdef long long res = 0 cdef long long muda cdef long long x for muda in xrange(N): x = random.randint(1,M) res += math.pow(x,2) return res for n in srange(3,8): %time A = cuadrados_cy(10^n,10^6)
CPU times: user 2.94 ms, sys: 48 µs, total: 2.99 ms Wall time: 2.83 ms CPU times: user 28.7 ms, sys: 34 µs, total: 28.7 ms Wall time: 33.3 ms CPU times: user 259 ms, sys: 24.3 ms, total: 284 ms Wall time: 252 ms CPU times: user 2.47 s, sys: 167 ms, total: 2.64 s Wall time: 2.44 s CPU times: user 22.9 s, sys: 258 ms, to...
Apache-2.0
2_Curso/Laboratorio/SAGE-noteb/IPYNB/PROBA/114-PROBA-Generador-cython.ipynb
AlejandroSantorum/Apuntes_Mat_IngInf
Optimizando el c&aacute;lculo de n&uacute;meros aleatorios:
%%cython cdef extern from 'gsl/gsl_rng.h': ctypedef struct gsl_rng_type: pass ctypedef struct gsl_rng: pass gsl_rng_type *gsl_rng_mt19937 gsl_rng *gsl_rng_alloc(gsl_rng_type * T) cdef gsl_rng *r = gsl_rng_alloc(gsl_rng_mt19937) cdef extern from 'gsl/gsl_randist.h': long int uniform 'g...
CPU times: user 68 µs, sys: 1e+03 ns, total: 69 µs Wall time: 72 µs CPU times: user 568 µs, sys: 0 ns, total: 568 µs Wall time: 511 µs CPU times: user 4.82 ms, sys: 0 ns, total: 4.82 ms Wall time: 4.83 ms CPU times: user 48.1 ms, sys: 0 ns, total: 48.1 ms Wall time: 48.5 ms CPU times: user 479 ms, sys: 0 ns, total: 479...
Apache-2.0
2_Curso/Laboratorio/SAGE-noteb/IPYNB/PROBA/114-PROBA-Generador-cython.ipynb
AlejandroSantorum/Apuntes_Mat_IngInf
Problema similar sin n&uacute;meros aleatorios:
%%cython def cuadrados_cy3(long long int N): cdef long long int res = 0 cdef long long int k for k in range(N): res += k**2 return res for n in srange(3,8): %time A = cuadrados_cy3(10^n) def cuadrados5(N): res = 0 for k in range(N): res += k**2 return res for n in srange(...
CPU times: user 643 µs, sys: 0 ns, total: 643 µs Wall time: 487 µs CPU times: user 1.35 ms, sys: 3.95 ms, total: 5.31 ms Wall time: 4.26 ms CPU times: user 25.5 ms, sys: 12 ms, total: 37.4 ms Wall time: 37.4 ms CPU times: user 373 ms, sys: 28.2 ms, total: 402 ms Wall time: 387 ms CPU times: user 3.75 s, sys: 169 ms, to...
Apache-2.0
2_Curso/Laboratorio/SAGE-noteb/IPYNB/PROBA/114-PROBA-Generador-cython.ipynb
AlejandroSantorum/Apuntes_Mat_IngInf
Plot multi-class SGD on the iris datasetPlot decision surface of multi-class SGD on iris dataset.The hyperplanes corresponding to the three one-versus-all (OVA) classifiersare represented by the dashed lines.
print(__doc__) import numpy as np import matplotlib.pyplot as plt from sklearn import datasets from sklearn.linear_model import SGDClassifier # import some data to play with iris = datasets.load_iris() # we only take the first two features. We could # avoid this ugly slicing by using a two-dim dataset X = iris.data[...
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MIT
sklearn/sklearn learning/demonstration/auto_examples_jupyter/linear_model/plot_sgd_iris.ipynb
wangyendt/deeplearning_models
!curl -O https://raw.githubusercontent.com/franciscadias/data/master/abcnews-date-text.csv import pandas as pd df_data = pd.read_csv('./abcnews-date-text.csv') df_data.head(3) df_data = df_data.head(10000) head_text = df_data[['headline_text']] type(head_text) import nltk nltk.download('punkt') head_text['title_text'] ...
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Apache-2.0
topic_modeling_LDA.ipynb
SolbiChoi/test_deeplearning
Copyright (c) Microsoft Corporation. All rights reserved.Licensed under the MIT License. ![Impressions](https://PixelServer20190423114238.azurewebsites.net/api/impressions/MachineLearningNotebooks/how-to-use-azureml/automated-machine-learning/regression-hardware-performance/auto-ml-regression-hardware-performance.png) ...
import logging from matplotlib import pyplot as plt import numpy as np import pandas as pd import os from sklearn.model_selection import train_test_split import azureml.dataprep as dprep import azureml.core from azureml.core.experiment import Experiment from azureml.core.workspace import Workspace from azureml.trai...
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MIT
how-to-use-azureml/automated-machine-learning/regression-hardware-performance/auto-ml-regression-hardware-performance.ipynb
wamartin-aml/MachineLearningNotebooks