Why does my linearSVC fail when I change the penalty to L1? - python

I am trying to build a linear SVC model from scikit-learn following the methods laid out in a paper by Hyun et al. (source: https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1007608#sec010). In the paper it states:
SVMs were implemented in scikit-learn, using square hinge loss weighted by class frequency to address class imbalance issues. L1 regularization was included to enforce sparsity for feature selection
I've tried to implement this myself using the following code:
import numpy as np
from sklearn.model_selection import RepeatedStratifiedKFold, cross_val_score
from sklearn.metrics import accuracy_score
import pandas as pd
from sklearn.svm import LinearSVC
from numpy import mean, std
model = LinearSVC(penalty="l1", class_weight='balanced', loss='squared_hinge')
cv = RepeatedStratifiedKFold(n_splits=5, n_repeats=5, random_state=127)
n_scores = cross_val_score(model, X_data, Y_data, scoring="accuracy", cv=cv, n_jobs=-1)
Where the X data involved is a binary matrix of presence/absence of genes; the y data are binary phenotype classifiers (resistant = 1, susceptible = 0). Unfortunately, I cannot give access to the dataset.
However, upon return of my results (n_scores) all values are "nan". When I perform the same task again but set the penalty to l2, I get accuracy scores.
What is happening? And why doesn't it work?

Dual must be set to False. Example: https://scikit-learn.org/stable/auto_examples/svm/plot_svm_scale_c.html

Related

how to build an artificial neural network with scikit-learn?

I am trying to run an artificial neural network with scikit-learn.
I want to run the regression, get the model fit results, an generate out of sample forecasts.
This is my code below. Any help will be greatly appreciated.
# Import required libraries
import pandas as pd
import numpy as np
import matplotlib.pyplot as plt
import sklearn
from sklearn.neural_network import MLPClassifier
from sklearn.neural_network import MLPRegressor
#import the data
df=pd.read_excel(r"C:\Users\Action\Downloads\Python\Practice_Data\sorted_data v2.xlsx")
#view the data
df.head(5)
#to drop a column of data type
df2=df.drop('Unnamed: 13', axis=1)
#view the data
df2.head(5)
Import necessary modules
from sklearn.model_selection import train_test_split
from sklearn.metrics import mean_squared_error
from math import sqrt
from sklearn.metrics import r2_score
describe the data
df.describe().transpose()
target_column = ['public health care services']
predictors = list(set(list(df.columns))-set(target_column))
df[predictors] = df[predictors]/df[predictors].max()
df.describe().transpose()
set the X and Y
X = df[predictors].values
y = df[target_column].values
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.30, random_state=40)
print(X_train.shape); print(X_test.shape)
import MLP Classifier and fit the network
from sklearn.neural_network import MLPClassifier
mlp = MLPClassifier(hidden_layer_sizes=(8,8,8), activation='relu', solver='adam', max_iter=500)
mlp.fit(X_train,y_train)
predict_train = mlp.predict(X_train)
set up the MLP Classifier
mlp = MLPClassifier(
hidden_layer_sizes=(50, 8),
max_iter=15,
alpha=1e-4,
solver="sgd",
verbose=True,
random_state=1,
learning_rate_init=0.1)
import the warnings
import warnings
from sklearn.exceptions import ConvergenceWarning
warnings.filterwarnings("ignore", category=ConvergenceWarning, module="sklearn")
predict_test = mlp.predict(X_test)
to train on the data I use the MLPClassifier to call the fit function on the training data.
mlp.fit(X_train, y_train)
after this, the neural network is done training.
after the neural network is trained, the next step is to test it.
print out the model scores
print(f"Training set score: {mlp.score(X_train, y_train)}")
print(f"Test set score: {mlp.score(X_test, y_test)}")
y_predict = mlp.predict(X_train)
I am getting an error from below
x_ann = y_predict[:, 0]
y_ann = y_predict[:, 1]
The error message is
IndexError: too many indices for array: array is 1-dimensional, but 2 were indexed
any help will be greatly appreciated
predict function gives you the actual class and since your point can belong to one and only one class (except multi label), it is supposed to be like this only
What is the shape of your Y_true_labels? Might be the case that your labels are Sparse and with 2 classes, means 0,1 and since the models is minimising Log Loss as described here as:
This model optimizes the log-loss function using LBFGS or stochastic gradient descent.
Also looking at the predict() it says:
log_y_probndarray of shape (n_samples, n_classes)
The predicted log-probability of the sample for each class in the model, where classes are ordered as they are in self.classes_. Equivalent to log(predict_proba(X))
So it means that if probability is 0.3 it means it belongs to class and if it's 0.7 it belongs to class, ASSUMING it's binary classification with a threshold set to 0.5.
What you might be confusing with is the predict_proba() function which gives you the probabilities for each classes.
Might be the case. Please post your X,Y data shape and type so that we can understand better.

Mean squared error is enormous when using Scikit Learn

I have been battling this problem with my MSE while predicting with regression. I have encountered the same problem with different regression models I have tried to build.
The problem is, my MSE is humongous. 83661743.99 to be exact. My R squared is 0.91 which does not seem problematic.
I manually implemented the cost function and gradient descent while doing the coursework in Andrew Ng's Stanford ML classes and I have a reasonable cost function; but when I try to implement it with SKLearn lib the MSE is something else. I don't know what I have done wrong and I need some help checking it out.
Here is the link to the dataset I used: https://www.kaggle.com/farhanmd29/50-startups
My code:
import pandas as pd
import numpy as np
import matplotlib.pyplot as plt
import seaborn as sns
from sklearn.preprocessing import LabelEncoder, StandardScaler
from sklearn.model_selection import train_test_split
from sklearn.metrics import mean_squared_error
from sklearn.linear_model import LinearRegression
df = pd.read_csv('50_Startups.csv')
#checking the level of correlations between the predictors and response
sns.heatmap(df.corr(), annot=True)
#Splitting the predictors from the response
X = df.iloc[:,:-1].values
y = df.iloc[:,4].values
#Encoding the Categorical values
label_encoder_X = LabelEncoder()
X[:,3] = label_encoder_X.fit_transform(X[:,3])
#Feature Scaling
scaler = StandardScaler()
X = scaler.fit_transform(X)
#splitting train and test
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.33, random_state=0)
#Linear Regression
model = LinearRegression()
model.fit(X_train,y_train)
pred = model.predict(X_test)
#Cost Function
mse = mean_squared_error(y_test,pred)
mse
As you used standard normalization for scaling, the values of the dataset can be humongous. As desertnaut said, MSE is not scaled so it can be huge due to the big values of the dataset. You can try to normalize data using a MinMaxScaler to get the iput between [0-1]
I have gotten to understand the error of my ways. The MSE is 1/n (No of Samples) multiplied by the summation of the actual response subtracted by the predicted response SQUARED. Hence the error given will be SQUARED the expected error value. what I should have looked out for was the RMSE which will find the sqrt of the MSE. my predictions were off as well and that was because I scaled my values. Un-scaled X values gave me much better predictions. This I will have to look into more as I do not understand why.

ROC curve for multi-class classification without one vs all in python

I have a multi-class classification problem with 9 different classes. I am using the AdaBoostClassifier class from scikit-learn to train my model without using the one vs all technique, as the number of classes is very high and it might be inefficient.
I have tried using the tips from the documentation in scikit learn [1], but there the one vs all technique is used, which is substantially different. In my approach I only get one prediction per event, i.e. if I have n classes, the outcome of the prediction is a single value within the n classes. For the one vs all approach, on the other hand, the outcome of the prediction is an array of size n with a sort of likelihood value per class.
[1]
https://scikit-learn.org/stable/auto_examples/model_selection/plot_roc.html#sphx-glr-auto-examples-model-selection-plot-roc-py
The code is:
import pandas as pd
import numpy as np
import matplotlib.pyplot as plt # Matplotlib plotting library for basic visualisation
%matplotlib inline
from sklearn.model_selection import train_test_split
from sklearn.ensemble import AdaBoostClassifier
from sklearn.metrics import accuracy_score
from sklearn.tree import DecisionTreeClassifier
from sklearn.metrics import roc_curve, auc
from sklearn import preprocessing
# Read data
df = pd.read_pickle('data.pkl')
# Create the dependent variable class
# This will substitute each of the n classes from
# text to number
factor = pd.factorize(df['target_var'])
df.target_var= factor[0]
definitions = factor[1]
X = df.drop('target_var', axis=1)
y = df['target_var]
X_train, X_test, y_train, y_test = train_test_split(X, y, random_state = 0)
bdt_clf = AdaBoostClassifier(
DecisionTreeClassifier(max_depth=2),
n_estimators=250,
learning_rate=0.3)
bdt_clf.fit(X_train, y_train)
y_pred = bdt_clf.predict(X_test)
#Reverse factorize (converting y_pred from 0s,1s, 2s, etc. to their original values
reversefactor = dict(zip(range(9),definitions))
y_test_rev = np.vectorize(reversefactor.get)(y_test)
y_pred_rev = np.vectorize(reversefactor.get)(y_pred)
I tried directly with the roc curve function, and also binarising the labels, but I always get the same error message.
def multiclass_roc_auc(y_test, y_pred):
lb = preprocessing.LabelBinarizer()
lb.fit(y_test)
y_test = lb.transform(y_test)
y_pred = lb.transform(y_pred)
return roc_curve(y_test, y_pred)
multiclass_roc_auc(y_test, y_pred_test)
The error message is:
ValueError: multilabel-indicator format is not supported
How could this be sorted out? Am I missing some important concept?

Probability calibration with predicted probability & actual outcome in python

I am reading calibration methods for two days but did not actually make it that how it works. Two types of calibration are there;
Platt scaling - prediction space parted into bins & for each bin mean predicted value is plotted against true fraction of positive cases
Isotonic regression - Mathematically it tries to fit a weighted least-squares via Quadratic Programming, subject to next observation is always non-decreasing with respect to previous observation.
I have written a python module on calibration based on logistic regression (though I know LogisticRegression returns well calibrated predictions by default as it directly optimizes log-loss, I built it to check my understanding)
import numpy as np
import pandas as pd
from sklearn import linear_model
from sklearn.calibration import CalibratedClassifierCV
from sklearn.model_selection import train_test_split
from sklearn.metrics import log_loss
from pandas import DataFrame
class logistic_Calibration:
def __init__(self, data, response):
self.data = data
self.response = response
def Calibration(self):
Xtrain, Xtest, ytrain, ytest = train_test_split(self.data, self.response, test_size=0.20, random_state=36)
logreg = linear_model.LogisticRegression()
logreg.fit(Xtrain, np.array(ytrain).flatten())
PredWO_calibration = logreg.predict_proba(Xtest)
lossWO_calibration = log_loss(ytest, PredWO_calibration)
clf_sigmoid = CalibratedClassifierCV(logreg, cv=5, method='sigmoid')
clf_sigmoid.fit(Xtrain, np.array(ytrain).flatten())
PredWITH_calibration = clf_sigmoid.predict_proba(Xtest)
lossWITH_calibration = log_loss(ytest, PredWITH_calibration)
Loss_difference_WO_minus_W = lossWO_calibration - lossWITH_calibration
return [lossWO_calibration, lossWITH_calibration, Loss_difference_WO_minus_W]
But still I am unclear on the following parts,
How isotonic regression maps the scores to probabilities?
Platt scaling does not work for real time data as for that we do not have any class assigned, that means Brier score can not be calculated. If after fitting a model, i have predicted probability & actual outcome on training data, how can i use calibration using only these two inputs to assign classes for test data? That is the most important part i would like to know.
Please guide.

Does GridSearchCV not support multi-class?

I tried to use GridSearchCV for multi-class case based on the answer from here:
Accelerating the prediction
But I got value error, multiclass format is not supported.
How can I use this method for multi-class case?
Following code is from the answer in above link.
import numpy as np
from sklearn.datasets import make_classification
from sklearn.preprocessing import StandardScaler
from sklearn.svm import SVC
from sklearn.pipeline import make_pipeline
from sklearn.grid_search import GridSearchCV
from sklearn.metrics import accuracy_score, recall_score, f1_score, roc_auc_score, make_scorer
X, y = make_classification(n_samples=3000, n_features=5, weights=[0.1, 0.9, 0.3])
pipe = make_pipeline(StandardScaler(), SVC(kernel='rbf', class_weight='auto'))
param_space = dict(svc__C=np.logspace(-5,0,5), svc__gamma=np.logspace(-2, 2, 10))
accuracy_score, recall_score, roc_auc_score
my_scorer = make_scorer(roc_auc_score, greater_is_better=True)
gscv = GridSearchCV(pipe, param_space, scoring=my_scorer)
gscv.fit(X, y)
print gscv.best_params_
From the documentation on roc_auc_score:
Note: this implementation is restricted to the binary classification task or multilabel classification task in label indicator format.
By "label indicator format", they mean each label value is represented as a binary column (rather than as a unique target value in a single column). You don't want to do that for your predictor, as it could result in non-mutually-exclusive predictions (i.e., predicting both label 2 and 4 for case p1, or predicting no labels for case p2).
Pick or custom-implement a scoring function that is well-defined for the multiclass problem, such as F1 score. Personally I find informedness more convincing than F1 score, and easier to generalize to the multiclass problem than roc_auc_score.
It supports multi-class
You can set the para of scoring = f1.macro, example:
gsearch1 = GridSearchCV(estimator = est1, param_grid=params_test1, scoring='f1_macro', cv=5, n_jobs=-1)
Or scoring = 'roc_auc_ovr'
It supports multi-class naturally if the classifier has the correct API by default for y_true and y_pred/y_score.
Otherwise, one has to do some customization using the score function like make_scorer.
For common metrics like AUROC for multi-classes, sklearn offers the 'roc_auc_ovr', where it actually refers to
roc_auc_ovr_scorer = make_scorer(roc_auc_score, needs_proba=True,
multi_class='ovr')
as in the source file.
To deal with multi-class problem with a classifier like e.g.,LogisticRegression, ovr is required and y_true is in the format of categorical values. The above setting will work directly.
Some other metrics for binary classifications can also be extended by wrapping the respective function. E.g., average_precision_score can be wrapped as
from sklearn.preprocessing import OneHotEncoder
def multi_auprc(y_true_cat, y_score):
y_true = OneHotEncoder().fit_transform(y_true_cat.reshape(-1, 1)).toarray()
return average_precision_score(y_true, y_score)
The metric can then be defined for GridsearchCV as
{
'auprc': make_scorer(multi_auprc, needs_proba=True, greater_is_better=True)
}

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