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And note we can use NUTS directly because there's no need to infer any discrete parameters.
mcmc = MCMC( NUTS(model_with_known_low), **MCMC_KWARGS, ) mcmc.run(MCMC_RNG, num_observations, true_x) mcmc.print_summary()
notebooks/source/truncated_distributions.ipynb
pyro-ppl/numpyro
apache-2.0
Removing the truncation
model_without_truncation = numpyro.handlers.condition( truncated_poisson_model, {"low": 0}, ) pred = Predictive(model_without_truncation, posterior_samples=mcmc.get_samples()) pred_samples = pred(PRED_RNG, num_observations) thinned_samples = pred_samples["x"][::500] discrete_distplot(thinned_samples.copy());
notebooks/source/truncated_distributions.ipynb
pyro-ppl/numpyro
apache-2.0
Simple Exponential Smoothing Lets use Simple Exponential Smoothing to forecast the below oil data.
ax = oildata.plot() ax.set_xlabel("Year") ax.set_ylabel("Oil (millions of tonnes)") print("Figure 7.1: Oil production in Saudi Arabia from 1996 to 2007.")
v0.13.2/examples/notebooks/generated/exponential_smoothing.ipynb
statsmodels/statsmodels.github.io
bsd-3-clause
Here we run three variants of simple exponential smoothing: 1. In fit1 we do not use the auto optimization but instead choose to explicitly provide the model with the $\alpha=0.2$ parameter 2. In fit2 as above we choose an $\alpha=0.6$ 3. In fit3 we allow statsmodels to automatically find an optimized $\alpha$ value fo...
fit1 = SimpleExpSmoothing(oildata, initialization_method="heuristic").fit( smoothing_level=0.2, optimized=False ) fcast1 = fit1.forecast(3).rename(r"$\alpha=0.2$") fit2 = SimpleExpSmoothing(oildata, initialization_method="heuristic").fit( smoothing_level=0.6, optimized=False ) fcast2 = fit2.forecast(3).rename(r...
v0.13.2/examples/notebooks/generated/exponential_smoothing.ipynb
statsmodels/statsmodels.github.io
bsd-3-clause
Holt's Method Lets take a look at another example. This time we use air pollution data and the Holt's Method. We will fit three examples again. 1. In fit1 we again choose not to use the optimizer and provide explicit values for $\alpha=0.8$ and $\beta=0.2$ 2. In fit2 we do the same as in fit1 but choose to use an expon...
fit1 = Holt(air, initialization_method="estimated").fit( smoothing_level=0.8, smoothing_trend=0.2, optimized=False ) fcast1 = fit1.forecast(5).rename("Holt's linear trend") fit2 = Holt(air, exponential=True, initialization_method="estimated").fit( smoothing_level=0.8, smoothing_trend=0.2, optimized=False ) fcas...
v0.13.2/examples/notebooks/generated/exponential_smoothing.ipynb
statsmodels/statsmodels.github.io
bsd-3-clause
Seasonally adjusted data Lets look at some seasonally adjusted livestock data. We fit five Holt's models. The below table allows us to compare results when we use exponential versus additive and damped versus non-damped. Note: fit4 does not allow the parameter $\phi$ to be optimized by providing a fixed value of $\phi=...
fit1 = SimpleExpSmoothing(livestock2, initialization_method="estimated").fit() fit2 = Holt(livestock2, initialization_method="estimated").fit() fit3 = Holt(livestock2, exponential=True, initialization_method="estimated").fit() fit4 = Holt(livestock2, damped_trend=True, initialization_method="estimated").fit( dampin...
v0.13.2/examples/notebooks/generated/exponential_smoothing.ipynb
statsmodels/statsmodels.github.io
bsd-3-clause
Plots of Seasonally Adjusted Data The following plots allow us to evaluate the level and slope/trend components of the above table's fits.
for fit in [fit2, fit4]: pd.DataFrame(np.c_[fit.level, fit.trend]).rename( columns={0: "level", 1: "slope"} ).plot(subplots=True) plt.show() print( "Figure 7.4: Level and slope components for Holt’s linear trend method and the additive damped trend method." )
v0.13.2/examples/notebooks/generated/exponential_smoothing.ipynb
statsmodels/statsmodels.github.io
bsd-3-clause
Comparison Here we plot a comparison Simple Exponential Smoothing and Holt's Methods for various additive, exponential and damped combinations. All of the models parameters will be optimized by statsmodels.
fit1 = SimpleExpSmoothing(livestock2, initialization_method="estimated").fit() fcast1 = fit1.forecast(9).rename("SES") fit2 = Holt(livestock2, initialization_method="estimated").fit() fcast2 = fit2.forecast(9).rename("Holt's") fit3 = Holt(livestock2, exponential=True, initialization_method="estimated").fit() fcast3 = f...
v0.13.2/examples/notebooks/generated/exponential_smoothing.ipynb
statsmodels/statsmodels.github.io
bsd-3-clause
Holt's Winters Seasonal Finally we are able to run full Holt's Winters Seasonal Exponential Smoothing including a trend component and a seasonal component. statsmodels allows for all the combinations including as shown in the examples below: 1. fit1 additive trend, additive seasonal of period season_length=4 and the u...
fit1 = ExponentialSmoothing( aust, seasonal_periods=4, trend="add", seasonal="add", use_boxcox=True, initialization_method="estimated", ).fit() fit2 = ExponentialSmoothing( aust, seasonal_periods=4, trend="add", seasonal="mul", use_boxcox=True, initialization_method="esti...
v0.13.2/examples/notebooks/generated/exponential_smoothing.ipynb
statsmodels/statsmodels.github.io
bsd-3-clause
The Internals It is possible to get at the internals of the Exponential Smoothing models. Here we show some tables that allow you to view side by side the original values $y_t$, the level $l_t$, the trend $b_t$, the season $s_t$ and the fitted values $\hat{y}_t$. Note that these values only have meaningful values in t...
fit1 = ExponentialSmoothing( aust, seasonal_periods=4, trend="add", seasonal="add", initialization_method="estimated", ).fit() fit2 = ExponentialSmoothing( aust, seasonal_periods=4, trend="add", seasonal="mul", initialization_method="estimated", ).fit() df = pd.DataFrame( np...
v0.13.2/examples/notebooks/generated/exponential_smoothing.ipynb
statsmodels/statsmodels.github.io
bsd-3-clause
Finally lets look at the levels, slopes/trends and seasonal components of the models.
states1 = pd.DataFrame( np.c_[fit1.level, fit1.trend, fit1.season], columns=["level", "slope", "seasonal"], index=aust.index, ) states2 = pd.DataFrame( np.c_[fit2.level, fit2.trend, fit2.season], columns=["level", "slope", "seasonal"], index=aust.index, ) fig, [[ax1, ax4], [ax2, ax5], [ax3, ax6]...
v0.13.2/examples/notebooks/generated/exponential_smoothing.ipynb
statsmodels/statsmodels.github.io
bsd-3-clause
Simulations and Confidence Intervals By using a state space formulation, we can perform simulations of future values. The mathematical details are described in Hyndman and Athanasopoulos [2] and in the documentation of HoltWintersResults.simulate. Similar to the example in [2], we use the model with additive trend, mul...
fit = ExponentialSmoothing( aust, seasonal_periods=4, trend="add", seasonal="mul", initialization_method="estimated", ).fit() simulations = fit.simulate(8, repetitions=100, error="mul") ax = aust.plot( figsize=(10, 6), marker="o", color="black", title="Forecasts and simulations from...
v0.13.2/examples/notebooks/generated/exponential_smoothing.ipynb
statsmodels/statsmodels.github.io
bsd-3-clause
Simulations can also be started at different points in time, and there are multiple options for choosing the random noise.
fit = ExponentialSmoothing( aust, seasonal_periods=4, trend="add", seasonal="mul", initialization_method="estimated", ).fit() simulations = fit.simulate( 16, anchor="2009-01-01", repetitions=100, error="mul", random_errors="bootstrap" ) ax = aust.plot( figsize=(10, 6), marker="o", c...
v0.13.2/examples/notebooks/generated/exponential_smoothing.ipynb
statsmodels/statsmodels.github.io
bsd-3-clause
Get status information related to your form based request
# To be completed
dkrz_forms/Templates/Retrieve_Form.ipynb
IS-ENES-Data/submission_forms
apache-2.0
Contact the DKRZ data managers for form related issues
# tob be completed
dkrz_forms/Templates/Retrieve_Form.ipynb
IS-ENES-Data/submission_forms
apache-2.0
Here we import the NumPy and pandas data libraries with their standard abbreviations, plus HoloViews with its standard abbreviation hv. The line reading hv.extension('bokeh') loads and activates the bokeh plotting backend, so all visualizations will be generated using Bokeh. We will see how to use matplotlib instead of...
xs = [i for i in range(-10,11)] ys = [100-(x**2) for x in xs] simple_curve = hv.Curve((xs,ys)) simple_curve
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
Here we supplied two lists of values as a tuple to [hv.Curve]((http://build.holoviews.org/reference/elements/bokeh/Curve.html), assigned the result to the attribute simple_curve, and let Jupyter display the object using its default visual representation. As you can see, that default visual representation is a Bokeh pl...
print(simple_curve)
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
The textual representation indicates that this object is a continuous mapping from x to y, which is how HoloViews knew to render it as a continuous curve. You can also access the full original data if you wish:
#simple_curve.data
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
If you uncomment that line, you should see the original data values, though in some cases like this one the data has been converted to a better format (a Pandas dataframe instead of Python lists). There are a number of similar elements to Curve such as Area and Scatter, which you can try out for yourself in the exercis...
# Exercise: Try switching hv.Curve with hv.Area and hv.Scatter # Optional: # Look at the .data attribute of the elements you created to see the raw data (as a pandas DataFrame)
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
Annotating the curve Wrapping your data (xs and ys) here as a HoloViews element is sufficient to make it visualizable, but there are many other aspects of the data that we can capture to convey more about its meaning to HoloViews. For instance, we might want to specify what the x-axis and y-axis actually correspond to,...
trajectory = hv.Curve((xs,ys), kdims=['distance'], vdims=['height']) trajectory
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
Here we have added semantic information about our data to the Curve element. Specifically, we told HoloViews that the kdim or key dimension of our data corresponds to the real-world independent variable ('distance'), and the vdim or value dimension 'height' is the real-world dependent variable. Even though the additio...
# Exercise: Take a look at trajectory.vdims
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
Casting between elements The type of an element is a declaration of important facts about your data, which gives HoloViews the appropriate hint required to generate a suitable visual representation from it. For instance, calling it a Curve is a declaration from the user that the data consists of samples from an underly...
hv.Scatter(simple_curve)
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
Casting the same data between different Element types in this way is often useful as a way to see your data differently, particularly if you are not certain of a single best way to interpret the data. Casting preserves your declared metadata as much as possible, propagating your declarations from the original object t...
# How do you predict the representation for hv.Scatter(trajectory) will differ from # hv.Scatter(simple_curve) above? Try it! # Also try casting the trajectory to an area then back to a curve.
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
Turning arrays into elements The curve above was constructed from a list of x-values and a list of y-values. Next we will create an element using an entirely different datatype, namely a NumPy array:
x = np.linspace(0, 10, 500) y = np.linspace(0, 10, 500) xx, yy = np.meshgrid(x, y) arr = np.sin(xx)*np.cos(yy) image = hv.Image(arr)
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
As above, we know that this data was sampled from a continuous function, but this time the data is mapping from two key dimensions, so we declare it as an [hv.Image]((http://build.holoviews.org/reference/elements/bokeh/Image.html) object. As you might expect, an Image object is visualized as an image by default:
image # Exercise: Try visualizing different two-dimensional arrays. # You can try a new function entirely or simple modifications of the existing one # E.g., explore the effect of squaring and cubing the sine and cosine terms # Optional: Try supplying appropriate labels for the x- and y- axes # Hint: The x,y positio...
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
Selecting columns from tables to make elements In addition to basic Python datatypes and xarray and NumPy array types, HoloViews elements can be passed tabular data in the form of pandas DataFrames:
economic_data = pd.read_csv('../data/macro.csv') economic_data.tail()
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
Let's build an element that helps us understand how the percentage growth in US GDP varies over time. As our dataframe contains GDP growth data for lots of countries, let us select the United States from the table and create a Curve element from it:
US_data = economic_data[economic_data['country'] == 'United States'] # Select data for the US only US_data.tail() growth_curve = hv.Curve(US_data, kdims=['year'], vdims=['growth']) growth_curve
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
In this case, declaring the kdims and vdims does not simply declare the axis labels, it allows HoloViews to discover which columns of the data should be used from the dataframe for each of the axes.
# Exercise: Plot the unemployment (unem) over year
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
Dimension labels In this example, the simplistic axis labels are starting to get rather limiting. Changing the kdims and vdims is no longer trivial either, as they need to match the column names in the dataframe. Is the only solution to rename the columns in our dataframe to something more descriptive but more awkward ...
gdp_growth = growth_curve.redim.label(growth='GDP growth') gdp_growth
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
With the redim method, we have associated a dimension label with the growth dimension, resulting in a new element called gdp_growth (you can check for yourself that growth_curve is unchanged). Let's look at what the new dimension contains:
gdp_growth.vdims # Exercise: Use redim.label to give the year dimension a better label
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
The redim utility lets you easily change other dimension parameters, and as an example let's give our GDP growth dimension the appropriate unit:
gdp_growth.redim.unit(growth='%') # Exercise: Use redim.unit to give the year dimension a better unit # For instance, relabel to 'Time' then give the unit as 'year'
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
Composing elements together Viewing a single element at a time often conveys very little information for the space used. In this section, we introduce the two composition operators + and * to build Layout and Overlay objects. Layouts Earlier on we were casting a parabola to different element types. Viewing the differen...
layout = trajectory + hv.Scatter(trajectory) + hv.Area(trajectory) + hv.Spikes(trajectory) layout.cols(2)
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
What we have created with the + operator is an hv.Layout object (with a hint that a two-column layout is desired):
print(layout)
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
Now let us build a new layout by selecting elements from layout:
layout.Curve.I + layout.Spikes.I
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
We see that a Layout lets us pick component elements via two levels of tab-completable attribute access. Note that by default the type of the element defines the first level of access and the second level of access automatically uses Roman numerals (because Python identifiers cannot start with numbers). These two level...
cannonball = trajectory.relabel('Cannonball', group='Trajectory') integral = hv.Area(trajectory).relabel('Filled', group='Trajectory') labelled_layout = cannonball + integral labelled_layout # Exercise: Try out the tab-completion of labelled_layout to build a new layout swapping the position of these elements # Opt...
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
Overlays Layout places objects side by side, allowing it to collect (almost!) any HoloViews objects that you want to indicate are related. Another operator * allows you to overlay elements into a single plot, if they live in the same space (with matching dimensions and similar ranges over those dimensions). The resul...
trajectory * hv.Spikes(trajectory)
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
The indexing system of Overlay is identical to that of Layout.
# Exercise: Make an overlay of the Spikes object from layout on top of the filled trajectory area of labelled_layout
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
One thing that is specific to Overlays is the use of color cycles to automatically differentiate between elements of the same type and group:
tennis_ball = cannonball.clone((xs, 0.5*np.array(ys)), label='Tennis Ball') cannonball + tennis_ball + (cannonball * tennis_ball)
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
Here we use the clone method to make a shallower tennis-ball trajectory: the clone method create a new object that preserves semantic metadata while allowing overrides (in this case we override the input data and the label). As you can see, HoloViews can determine that the two overlaid curves will be distinguished by c...
# Optional Exercise: # 1. Create a thrown_ball curve with half the height of tennis_ball by cloning it and assigning the label 'Thrown ball' # 2. Add thrown_ball to the overlay
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
Slicing and selecting HoloViews elements can be easily sliced using array-style syntax or using the .select method. The following example shows how we can slice the cannonball trajectory into its ascending and descending components:
full_trajectory = cannonball.redim.label(distance='Horizontal distance', height='Vertical height') ascending = full_trajectory[-10:1].relabel('ascending') descending = cannonball.select(distance=(0,11.)).relabel('descending') ascending * descending
notebooks/01-introduction-to-elements.ipynb
ioam/scipy-2017-holoviews-tutorial
bsd-3-clause
Next, load the spectroscopy data that we are going to analyse using hoggorm. After the data has been loaded into the pandas data frame, we'll display it in the notebook.
# Load data # Insert code for reading data from other folder in repository instead of directly from same repository. data_df = pd.read_csv('gasoline_NIR.txt', header=None, sep='\s+')
examples/PCA/PCA_on_spectroscopy_data.ipynb
olivertomic/hoggorm
bsd-2-clause
Let's have a look at the dimensions of the data frame.
np.shape(data_df)
examples/PCA/PCA_on_spectroscopy_data.ipynb
olivertomic/hoggorm
bsd-2-clause
The nipalsPCA class in hoggorm accepts only numpy arrays with numerical values and not pandas data frames. Therefore, the pandas data frame holding the imported data needs to be "taken apart" into three parts: * a numpy array holding the numeric values * a Python list holding variable (column) names * a Python list ho...
# Get the values from the data frame data = data_df.values
examples/PCA/PCA_on_spectroscopy_data.ipynb
olivertomic/hoggorm
bsd-2-clause
Apply PCA to our data Now, let's run PCA on the data using the nipalsPCA class. The documentation provides a description of the input parameters. Using input paramter arrX we define which numpy array we would like to analyse. By setting input parameter Xstand=False we make sure that the variables are only mean centered...
model = ho.nipalsPCA(arrX=data, Xstand=False, cvType=["loo"], numComp=5)
examples/PCA/PCA_on_spectroscopy_data.ipynb
olivertomic/hoggorm
bsd-2-clause
That's it, the PCA model has been computed. Now we would like to inspect the results by visualising them. We can do this using the taylor-made plotting function for PCA from the separate hoggormPlot package. If we wish to plot the results for component 1 and component 2, we can do this by setting the input argument com...
hop.plot(model, comp=[1, 2], plots=[1, 6])
examples/PCA/PCA_on_spectroscopy_data.ipynb
olivertomic/hoggorm
bsd-2-clause
It is also possible to generate the same plots one by one with specific plot functions as shown below.
hop.loadings(model, line=True)
examples/PCA/PCA_on_spectroscopy_data.ipynb
olivertomic/hoggorm
bsd-2-clause
Accessing numerical results Now that we have visualised the PCA results, we may also want to access the numerical results. Below are some examples. For a complete list of accessible results, please see this part of the documentation.
# Get scores and store in numpy array scores = model.X_scores() # Get scores and store in pandas dataframe with row and column names scores_df = pd.DataFrame(model.X_scores()) #scores_df.index = data_objNames scores_df.columns = ['PC{0}'.format(x+1) for x in range(model.X_scores().shape[1])] scores_df help(ho.nipalsP...
examples/PCA/PCA_on_spectroscopy_data.ipynb
olivertomic/hoggorm
bsd-2-clause
We see that the numpy array holds the scores for four components as required when computing the PCA model.
# Get loadings and store in numpy array loadings = model.X_loadings() # Get loadings and store in pandas dataframe with row and column names loadings_df = pd.DataFrame(model.X_loadings()) #loadings_df.index = data_varNames loadings_df.columns = ['PC{0}'.format(x+1) for x in range(model.X_loadings().shape[1])] loading...
examples/PCA/PCA_on_spectroscopy_data.ipynb
olivertomic/hoggorm
bsd-2-clause
<div style="float: right; color: red;">Please, rename this file to <code style="color:red">HW6.ipynb</code> and save it in <code style="color:red">MSA8010F16/HW6</code> </div> Homework 6: Preprocessing Data We use a data set from the UCI Machine Learning Repository https://archive.ics.uci.edu/ml/datasets/Bank+Marketin...
import numpy as np import pandas as pd import matplotlib.pyplot as plt DATAFILE = '/home/data/archive.ics.uci.edu/BankMarketing/bank.csv' ###DATAFILE = 'data/bank.csv' ### using locally df = pd.read_csv(DATAFILE, sep=';') list(df.columns)
DataScienceProgramming/09-Machine-Learning-II/HW6_orig.ipynb
squishbug/DataScienceProgramming
cc0-1.0
Step 1: Investigate Data Set We have a number of categorical data: What's their cardinality? How are the levels distributed? What's the distribution on numeric values? Do we see any correlations? Let's first look at columns (i.e. variables) with continuous values. We can get a sense of the distribution from aggregate...
### use sets and '-' difference operation 'A-B'. Also there is a symmetric different '^' all_features = set(df.columns)-set(['y']) num_features = set(df.describe().columns) cat_features = all_features-num_features print("All features: ", ", ".join(all_features), "\nNumerical features: ", ", ".join(num_featur...
DataScienceProgramming/09-Machine-Learning-II/HW6_orig.ipynb
squishbug/DataScienceProgramming
cc0-1.0
Let's look at the distribution of numerical features...
%matplotlib inline fig = plt.figure(figsize=(32, 8)) for i in range(len(num_features)): f = list(num_features)[i] plt.subplot(2, 4, i+1) hst = plt.hist(df[f], alpha=0.5) plt.title(f) plt.suptitle('Distribution of Numeric Values', fontsize=20) None
DataScienceProgramming/09-Machine-Learning-II/HW6_orig.ipynb
squishbug/DataScienceProgramming
cc0-1.0
Now, let's look at the categorical variables and their distribution...
for f in cat_features: tab = df[f].value_counts() print('%s:\t%s' % (f, ', '.join([ ("%s(%d)" %(tab.index[i], tab.values[i])) for i in range(len(tab))]) ))
DataScienceProgramming/09-Machine-Learning-II/HW6_orig.ipynb
squishbug/DataScienceProgramming
cc0-1.0
Results in a data frame:
mat = pd.DataFrame( [ df[f].value_counts() for f in list(cat_features) ], index=list(cat_features) ).stack() pd.DataFrame(mat.values, index=mat.index)
DataScienceProgramming/09-Machine-Learning-II/HW6_orig.ipynb
squishbug/DataScienceProgramming
cc0-1.0
Step 2: Prepare for ML algorithm The ML algorithms in Scikit-Learn use Matrices (with numeric values). We need to convert our data-frame into a feature matrix X and a target vector y. Many algorithms also require the features to be in the same range. Decision-trees don't bother because they don't perform any operations...
help(pd.DataFrame.as_matrix) ## We copy our original dataframe into a new one, and then perform replacements on categorical levels. ## We may also keep track of our replacement level_substitution = {} def levels2index(levels): dct = {} for i in range(len(levels)): dct[levels[i]] = i return dct df...
DataScienceProgramming/09-Machine-Learning-II/HW6_orig.ipynb
squishbug/DataScienceProgramming
cc0-1.0
Step 3: Training Now that we have our DataFrame prepared, we can create the feature matrix X and target vector y: 1. split data into training and test sets 2. fit the model
X = df_num[list(all_features)].as_matrix() y = df_num.y.as_matrix() X, y ### Scikit-learn provides us with a nice function to split from sklearn.model_selection import train_test_split X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=.4, random_state=42) from sklearn.tree import DecisionTreeClassif...
DataScienceProgramming/09-Machine-Learning-II/HW6_orig.ipynb
squishbug/DataScienceProgramming
cc0-1.0
score returns the mean accuracy on the given test data and labels. In multi-label classification, this is the subset accuracy which is a harsh metric since you require for each sample that each label set be correctly predicted. For binary classification it means percentage of correctly classified samples. The score sho...
import sklearn.tree import pydot_ng as pdot dot_data = sklearn.tree.export_graphviz(clf, out_file=None, feature_names = list(all_features), class_names=['no', 'yes']) graph = pdot.graph_from_dot_data(dot_data) #--- we can save the graph into a file ... preferrably vector graphics #graph.write_svg('mydt.svg') graph.writ...
DataScienceProgramming/09-Machine-Learning-II/HW6_orig.ipynb
squishbug/DataScienceProgramming
cc0-1.0
Now, we use out classifier and predict on the test set (In order to get the ŷ character type: 'y\hat' followed by the TAB-key.)
ŷ = clf.predict(X_test) ## a function that produces the confusion matrix: 1. parameter y=actual target, 2. parameter ŷ=predicted def binary_confusion_matrix(y,ŷ): TP = ((y+ŷ)== 2).sum() TN = ((y+ŷ)== 0).sum() FP = ((y-ŷ)== -1).sum() FN = ((y-ŷ)== 1).sum() return pd.DataFrame( [[TP, FP], [FN,...
DataScienceProgramming/09-Machine-Learning-II/HW6_orig.ipynb
squishbug/DataScienceProgramming
cc0-1.0
Sample Dataset <a name="section10"></a> The file sample_frame.csv - shown below - contains synthetic data of 100 clusters classified by region (East, North, South and West). Clusters represent a group of households. In the file, each cluster has an associated number of households (number_households) and a status variab...
psu_frame_cls = PSUFrame() psu_frame_cls.load_data() psu_frame = psu_frame_cls.data psu_frame.head(25)
docs/source/tutorial/psu_selection.ipynb
survey-methods/samplics
mit
Often, sampling frames are not available for the sampling units of interest. For example, most countries do not have a list of all households or people living in the country. Even if such frames exist, it may not be operationally and financially feasible to directly select sampling units without any form of clustering....
psu_sample_size = {"East":3, "West": 2, "North": 2, "South": 3} print(f"\nThe sample size per domain is: {psu_sample_size}\n")
docs/source/tutorial/psu_selection.ipynb
survey-methods/samplics
mit
The function array_to_dict() converts an array to a dictionnary by pairing the values of the array to their frequency. We can use this function to calculates the number of clusters per stratum and store the result in a Python dictionnary. Then, we modify the values of the dictionnary to create the sample size dictionna...
from samplics import array_to_dict frame_size = array_to_dict(psu_frame["region"]) print(f"\nThe number of clusters per stratum is: {frame_size}") psu_sample_size = frame_size.copy() psu_sample_size["East"] = 3 psu_sample_size["North"] = 2 psu_sample_size["South"] = 3 psu_sample_size["West"] = 2 print(f"\nThe sample ...
docs/source/tutorial/psu_selection.ipynb
survey-methods/samplics
mit
PSU Selection <a name="section12"></a> In this section, we select a sample of psus using pps methods. In the section above, we have calculated the probabilities of selection. That step is not necessary when using samplics. We can use the method select() to calculate the probability of selection and select the sample, i...
np.random.seed(23) psu_frame["psu_sample"], psu_frame["psu_hits"], psu_frame["psu_probs"] = stage1_design.select( psu_frame["cluster"], psu_sample_size, psu_frame["region"], psu_frame["number_households_census"] ) nb_obs = 15 print(f"\nFirst {nb_obs} observations of the PSU frame with the sampl...
docs/source/tutorial/psu_selection.ipynb
survey-methods/samplics
mit
The default setting sample_only=False returns the entire frame. We can easily reduce the output data to the sample by filtering i.e. psu_sample == 1. However, if we are only interested in the sample, we could use sample_only=True when calling select(). This will reduce the output data to the sampled units and to_datafr...
np.random.seed(23) psu_sample = stage1_design.select( psu_frame["cluster"], psu_sample_size, psu_frame["region"], psu_frame["number_households_census"], to_dataframe = True, sample_only = True ) print("\nPSU sample without the non-sampled units\n") psu_sample
docs/source/tutorial/psu_selection.ipynb
survey-methods/samplics
mit
The systematic selection method can be implemented with or without replacement. The other samplics algorithms for selecting sample with unequal probablities of selection are Brewer, Hanurav-Vijayan (hv), Murphy, and Rao-Sampford (rs) methods. As shown below, all these sampling techniques can be specified when extentiat...
np.random.seed(23) stage1_sampford = SampleSelection(method="pps-rs", stratification=True, with_replacement=False) psu_sample_sampford = stage1_sampford.select( psu_frame["cluster"], psu_sample_size, psu_frame["region"], psu_frame["number_households_census"], to_dataframe=True, sample_only=...
docs/source/tutorial/psu_selection.ipynb
survey-methods/samplics
mit
根据任意的字典字段来排序输入结果行是很容易实现的,代码示例:
from operator import itemgetter rows_by_fname = sorted(rows, key = itemgetter("fname")) print(rows_by_fname) rows_by_uid = sorted(rows, key = itemgetter("uid")) print(rows_by_uid)
01 data structures and algorithms/01.13 sort list of dicts by key.ipynb
wuafeing/Python3-Tutorial
gpl-3.0
代码的输出如上: itemgetter() 函数也支持多个 keys ,比如下面的代码:
rows_by_lfname = sorted(rows, key = itemgetter("lname", "fname")) print(rows_by_lfname)
01 data structures and algorithms/01.13 sort list of dicts by key.ipynb
wuafeing/Python3-Tutorial
gpl-3.0
讨论 在上面例子中, rows 被传递给接受一个关键字参数的 sorted() 内置函数。 这个参数是 callable 类型,并且从 rows 中接受一个单一元素,然后返回被用来排序的值。 itemgetter() 函数就是负责创建这个 callable 对象的。 operator.itemgetter() 函数有一个被 rows 中的记录用来查找值的索引参数。可以是一个字典键名称, 一个整形值或者任何能够传入一个对象的 __getitem__() 方法的值。 如果你传入多个索引参数给 itemgetter() ,它生成的 callable 对象会返回一个包含所有元素值的元组, 并且 sorted() 函数会根据这个元组中元素顺序...
rows_by_fname = sorted(rows, key = lambda r: r["fname"]) rows_by_lfname = sorted(rows, key = lambda r: (r["lname"], r["fname"]))
01 data structures and algorithms/01.13 sort list of dicts by key.ipynb
wuafeing/Python3-Tutorial
gpl-3.0
这种方案也不错。但是,使用 itemgetter() 方式会运行的稍微快点。因此,如果你对性能要求比较高的话就使用 itemgetter() 方式。 最后,不要忘了这节中展示的技术也同样适用于 min() 和 max() 等函数。比如:
min(rows, key = itemgetter("uid")) max(rows, key = itemgetter("uid"))
01 data structures and algorithms/01.13 sort list of dicts by key.ipynb
wuafeing/Python3-Tutorial
gpl-3.0
<table class="tfo-notebook-buttons" align="left"> <td> <a target="_blank" href="https://www.tensorflow.org/text/tutorials/classify_text_with_bert"><img src="https://www.tensorflow.org/images/tf_logo_32px.png" />View on TensorFlow.org</a> </td> <td> <a target="_blank" href="https://colab.research.google.co...
# A dependency of the preprocessing for BERT inputs !pip install -q -U tensorflow-text
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
You will use the AdamW optimizer from tensorflow/models.
!pip install -q tf-models-official import os import shutil import tensorflow as tf import tensorflow_hub as hub import tensorflow_text as text from official.nlp import optimization # to create AdamW optimizer import matplotlib.pyplot as plt tf.get_logger().setLevel('ERROR')
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
Sentiment analysis This notebook trains a sentiment analysis model to classify movie reviews as positive or negative, based on the text of the review. You'll use the Large Movie Review Dataset that contains the text of 50,000 movie reviews from the Internet Movie Database. Download the IMDB dataset Let's download and e...
url = 'https://ai.stanford.edu/~amaas/data/sentiment/aclImdb_v1.tar.gz' dataset = tf.keras.utils.get_file('aclImdb_v1.tar.gz', url, untar=True, cache_dir='.', cache_subdir='') dataset_dir = os.path.join(os.path.dirname(dataset), 'aclImdb') train_dir...
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
Next, you will use the text_dataset_from_directory utility to create a labeled tf.data.Dataset. The IMDB dataset has already been divided into train and test, but it lacks a validation set. Let's create a validation set using an 80:20 split of the training data by using the validation_split argument below. Note: When ...
AUTOTUNE = tf.data.AUTOTUNE batch_size = 32 seed = 42 raw_train_ds = tf.keras.preprocessing.text_dataset_from_directory( 'aclImdb/train', batch_size=batch_size, validation_split=0.2, subset='training', seed=seed) class_names = raw_train_ds.class_names train_ds = raw_train_ds.cache().prefetch(buffe...
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
Let's take a look at a few reviews.
for text_batch, label_batch in train_ds.take(1): for i in range(3): print(f'Review: {text_batch.numpy()[i]}') label = label_batch.numpy()[i] print(f'Label : {label} ({class_names[label]})')
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
Loading models from TensorFlow Hub Here you can choose which BERT model you will load from TensorFlow Hub and fine-tune. There are multiple BERT models available. BERT-Base, Uncased and seven more models with trained weights released by the original BERT authors. Small BERTs have the same general architecture but fewe...
#@title Choose a BERT model to fine-tune bert_model_name = 'small_bert/bert_en_uncased_L-4_H-512_A-8' #@param ["bert_en_uncased_L-12_H-768_A-12", "bert_en_cased_L-12_H-768_A-12", "bert_multi_cased_L-12_H-768_A-12", "small_bert/bert_en_uncased_L-2_H-128_A-2", "small_bert/bert_en_uncased_L-2_H-256_A-4", "small_bert/ber...
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
The preprocessing model Text inputs need to be transformed to numeric token ids and arranged in several Tensors before being input to BERT. TensorFlow Hub provides a matching preprocessing model for each of the BERT models discussed above, which implements this transformation using TF ops from the TF.text library. It i...
bert_preprocess_model = hub.KerasLayer(tfhub_handle_preprocess)
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
Let's try the preprocessing model on some text and see the output:
text_test = ['this is such an amazing movie!'] text_preprocessed = bert_preprocess_model(text_test) print(f'Keys : {list(text_preprocessed.keys())}') print(f'Shape : {text_preprocessed["input_word_ids"].shape}') print(f'Word Ids : {text_preprocessed["input_word_ids"][0, :12]}') print(f'Input Mask : {text_...
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
As you can see, now you have the 3 outputs from the preprocessing that a BERT model would use (input_words_id, input_mask and input_type_ids). Some other important points: - The input is truncated to 128 tokens. The number of tokens can be customized, and you can see more details on the Solve GLUE tasks using BERT on a...
bert_model = hub.KerasLayer(tfhub_handle_encoder) bert_results = bert_model(text_preprocessed) print(f'Loaded BERT: {tfhub_handle_encoder}') print(f'Pooled Outputs Shape:{bert_results["pooled_output"].shape}') print(f'Pooled Outputs Values:{bert_results["pooled_output"][0, :12]}') print(f'Sequence Outputs Shape:{bert...
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
The BERT models return a map with 3 important keys: pooled_output, sequence_output, encoder_outputs: pooled_output represents each input sequence as a whole. The shape is [batch_size, H]. You can think of this as an embedding for the entire movie review. sequence_output represents each input token in the context. The ...
def build_classifier_model(): text_input = tf.keras.layers.Input(shape=(), dtype=tf.string, name='text') preprocessing_layer = hub.KerasLayer(tfhub_handle_preprocess, name='preprocessing') encoder_inputs = preprocessing_layer(text_input) encoder = hub.KerasLayer(tfhub_handle_encoder, trainable=True, name='BERT_...
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
Let's check that the model runs with the output of the preprocessing model.
classifier_model = build_classifier_model() bert_raw_result = classifier_model(tf.constant(text_test)) print(tf.sigmoid(bert_raw_result))
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
The output is meaningless, of course, because the model has not been trained yet. Let's take a look at the model's structure.
tf.keras.utils.plot_model(classifier_model)
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
Model training You now have all the pieces to train a model, including the preprocessing module, BERT encoder, data, and classifier. Loss function Since this is a binary classification problem and the model outputs a probability (a single-unit layer), you'll use losses.BinaryCrossentropy loss function.
loss = tf.keras.losses.BinaryCrossentropy(from_logits=True) metrics = tf.metrics.BinaryAccuracy()
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
Optimizer For fine-tuning, let's use the same optimizer that BERT was originally trained with: the "Adaptive Moments" (Adam). This optimizer minimizes the prediction loss and does regularization by weight decay (not using moments), which is also known as AdamW. For the learning rate (init_lr), you will use the same sch...
epochs = 5 steps_per_epoch = tf.data.experimental.cardinality(train_ds).numpy() num_train_steps = steps_per_epoch * epochs num_warmup_steps = int(0.1*num_train_steps) init_lr = 3e-5 optimizer = optimization.create_optimizer(init_lr=init_lr, num_train_steps=num_train_steps, ...
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
Loading the BERT model and training Using the classifier_model you created earlier, you can compile the model with the loss, metric and optimizer.
classifier_model.compile(optimizer=optimizer, loss=loss, metrics=metrics)
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
Note: training time will vary depending on the complexity of the BERT model you have selected.
print(f'Training model with {tfhub_handle_encoder}') history = classifier_model.fit(x=train_ds, validation_data=val_ds, epochs=epochs)
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
Evaluate the model Let's see how the model performs. Two values will be returned. Loss (a number which represents the error, lower values are better), and accuracy.
loss, accuracy = classifier_model.evaluate(test_ds) print(f'Loss: {loss}') print(f'Accuracy: {accuracy}')
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
Plot the accuracy and loss over time Based on the History object returned by model.fit(). You can plot the training and validation loss for comparison, as well as the training and validation accuracy:
history_dict = history.history print(history_dict.keys()) acc = history_dict['binary_accuracy'] val_acc = history_dict['val_binary_accuracy'] loss = history_dict['loss'] val_loss = history_dict['val_loss'] epochs = range(1, len(acc) + 1) fig = plt.figure(figsize=(10, 6)) fig.tight_layout() plt.subplot(2, 1, 1) # r i...
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
In this plot, the red lines represent the training loss and accuracy, and the blue lines are the validation loss and accuracy. Export for inference Now you just save your fine-tuned model for later use.
dataset_name = 'imdb' saved_model_path = './{}_bert'.format(dataset_name.replace('/', '_')) classifier_model.save(saved_model_path, include_optimizer=False)
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
Let's reload the model, so you can try it side by side with the model that is still in memory.
reloaded_model = tf.saved_model.load(saved_model_path)
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
Here you can test your model on any sentence you want, just add to the examples variable below.
def print_my_examples(inputs, results): result_for_printing = \ [f'input: {inputs[i]:<30} : score: {results[i][0]:.6f}' for i in range(len(inputs))] print(*result_for_printing, sep='\n') print() examples = [ 'this is such an amazing movie!', # this is the same sentence tried ea...
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
If you want to use your model on TF Serving, remember that it will call your SavedModel through one of its named signatures. In Python, you can test them as follows:
serving_results = reloaded_model \ .signatures['serving_default'](tf.constant(examples)) serving_results = tf.sigmoid(serving_results['classifier']) print_my_examples(examples, serving_results)
third_party/tensorflow-text/src/docs/tutorials/classify_text_with_bert.ipynb
nwjs/chromium.src
bsd-3-clause
https://www.youtube.com/watch?v=ElmBrKyMXxs https://github.com/hans/ipython-notebooks/blob/master/tf/TF%20tutorial.ipynb https://github.com/ematvey/tensorflow-seq2seq-tutorials
from __future__ import division import tensorflow as tf from os import path, remove import numpy as np import pandas as pd import csv from sklearn.model_selection import StratifiedShuffleSplit from time import time from matplotlib import pyplot as plt import seaborn as sns from mylibs.jupyter_notebook_helper import sho...
04_time_series_prediction/17_price_history_seq2seq-overfitting.ipynb
pligor/predicting-future-product-prices
agpl-3.0
Step 0 - hyperparams vocab_size is all the potential words you could have (classification for translation case) and max sequence length are the SAME thing decoder RNN hidden units are usually same size as encoder RNN hidden units in translation but for our case it does not seem really to be a relationship there but we ...
epochs = 15 num_features = 1 num_units = 400 #state size input_len = 60 target_len = 30 batch_size = 50 #47 #trunc_backprop_len = ?? rnn_cell = PriceHistorySeq2SeqRawDummy.RNN_CELLS.GRU with_EOS = False total_train_size = 57994 train_size = 6400 test_size = 1282
04_time_series_prediction/17_price_history_seq2seq-overfitting.ipynb
pligor/predicting-future-product-prices
agpl-3.0
Once generate data
data_path = '../data/price_history' #npz_full_train = data_path + '/price_history_03_dp_60to30_train.npz' #npz_full_train = data_path + '/price_history_60to30_targets_normed_train.npz' #npz_train = data_path + '/price_history_03_dp_60to30_57980_train.npz' #npz_train = data_path + '/price_history_03_dp_60to30_6400_tra...
04_time_series_prediction/17_price_history_seq2seq-overfitting.ipynb
pligor/predicting-future-product-prices
agpl-3.0
Step 1 - collect data
dp = PriceHistorySeq2SeqDataProvider(npz_path=npz_train, batch_size=batch_size, with_EOS=with_EOS) dp.inputs.shape, dp.targets.shape aa, bb = dp.next() aa.shape, bb.shape
04_time_series_prediction/17_price_history_seq2seq-overfitting.ipynb
pligor/predicting-future-product-prices
agpl-3.0
Step 2 - Build model
model = PriceHistorySeq2SeqRawDummy(rng=random_state, dtype=dtype, config=config, with_EOS=with_EOS) graph = model.getGraph(batch_size=batch_size, num_units=num_units, input_len=input_len, target_len=target_len, rnn_cell=rnn_ce...
04_time_series_prediction/17_price_history_seq2seq-overfitting.ipynb
pligor/predicting-future-product-prices
agpl-3.0
Step 3 training the network RECALL: baseline is around 4 for huber loss for current problem, anything above 4 should be considered as major errors
#rnn_cell = PriceHistorySeq2SeqCV.RNN_CELLS.GRU #cross_val_n_splits = 5 epochs, num_units, batch_size #set(factors(train_size)).intersection(factors(train_size/5)) best_learning_rate = 1e-3 #0.0026945952539362472 def experiment(): return model.run(npz_path=npz_train, epochs=10, batch_si...
04_time_series_prediction/17_price_history_seq2seq-overfitting.ipynb
pligor/predicting-future-product-prices
agpl-3.0
Recall that without batch normalization within 10 epochs with num units 400 and batch_size 64 we reached at 4.940 and with having the decoder inputs NOT filled from the outputs
%%time dyn_stats, preds_dict = get_or_run_nn(experiment, filename='017_seq2seq_60to30_epochs{}_learning_rate_{:.4f}'.format( epochs, best_learning_rate )) dyn_stats.plotStats() plt.show() r2_scores = ...
04_time_series_prediction/17_price_history_seq2seq-overfitting.ipynb
pligor/predicting-future-product-prices
agpl-3.0
Pre-processing a single image
original = imread('data/some_signature.png') # Manually normalizing the image following the steps provided in the paper. # These steps are also implemented in preprocess.normalize.preprocess_signature normalized = 255 - normalize_image(original, size=(952, 1360)) resized = resize_image(normalized, (170, 242)) croppe...
interactive_example.ipynb
luizgh/sigver_wiwd
bsd-2-clause
Processing multiple images and obtaining feature vectors
user1_sigs = [imread('data/a%d.png' % i) for i in [1,2]] user2_sigs = [imread('data/b%d.png' % i) for i in [1,2]] canvas_size = (952, 1360) processed_user1_sigs = np.array([preprocess_signature(sig, canvas_size) for sig in user1_sigs]) processed_user2_sigs = np.array([preprocess_signature(sig, canvas_size) for si...
interactive_example.ipynb
luizgh/sigver_wiwd
bsd-2-clause
Using the CNN to obtain the feature representations
# Path to the learned weights model_weight_path = 'models/signet.pkl' # Instantiate the model model = CNNModel(signet, model_weight_path) # Obtain the features. Note that you can process multiple images at the same time user1_features = model.get_feature_vector_multiple(processed_user1_sigs, layer='fc2') user2_featu...
interactive_example.ipynb
luizgh/sigver_wiwd
bsd-2-clause
Inspecting the learned features The feature vectors have size 2048:
user1_features.shape print('Euclidean distance between signatures from the same user') print(np.linalg.norm(user1_features[0] - user1_features[1])) print(np.linalg.norm(user2_features[0] - user2_features[1])) print('Euclidean distance between signatures from different users') dists = [np.linalg.norm(u1 - u2) for u1 ...
interactive_example.ipynb
luizgh/sigver_wiwd
bsd-2-clause