【发布时间】：2021-08-09 02:50:27
【问题描述】：
我试图通过从神经网络中提取嵌入层并将其用作单独 XGBoost 模型中的输入特征来降低分类特征的维度。
嵌入层具有维度（nr. unique categories + 1，选择的输出大小）。如何将其与原始训练数据中具有维度（nr.观察值，nr.特征）的连续变量连接起来？
以下是使用神经网络进行回归的可重现示例，其中分类特征被编码为学习嵌入层。该示例紧密改编自： http://machinelearningmechanic.com/keras/2018/03/09/keras-regression-with-categorical-variable-embeddings-md.html#Define-the-input-layers
最后我打印了嵌入层及其形状。该层如何与原始训练数据（X_train_continuous）中的连续特征合并？如果行数等于类别数，并且如果我们知道类别在嵌入层中表示的顺序，则嵌入数组可能会加入到类别的训练观察中，但行数等于类别数 + 1（在代码中：len(values) + 1）。
# Imports and helper functions
import numpy as np
import pandas as pd
import numpy as np
import pandas as pd
import keras
from keras.models import Sequential
from keras.layers import Dense, BatchNormalization
from keras.layers import Input, Embedding, Dense
from keras.models import Model
from keras.callbacks import Callback
import matplotlib.pyplot as plt
# Bayesian Methods for Hackers style sheet
plt.style.use('bmh')
np.random.seed(1234567890)
class PeriodicLogger(Callback):
"""
A helper callback class that only prints the losses once in 'display' epochs
"""
def __init__(self, display=100):
self.display = display
def on_train_begin(self, logs={}):
self.epochs = 0
def on_epoch_end(self, batch, logs={}):
self.epochs += 1
if self.epochs % self.display == 0:
print("Epoch: %d - loss: %f - val_loss: %f" % (
self.epochs, logs['loss'], logs['val_loss']))
periodic_logger_250 = PeriodicLogger(250)
# Define the mapping and a function that computes the house price for each
# example
per_meter_mapping = {
'Mercaz': 500,
'Old North': 350,
'Florentine': 230
}
per_room_additional_price = {
'Mercaz': 15. * 10 ** 4,
'Old North': 8. * 10 ** 4,
'Florentine': 5. * 10 ** 4
}
def house_price_func(row):
"""
house_price_func is the function f(a,s,n).
:param row: dict (contains the keys: ['area', 'size', 'n_rooms'])
:return: float
"""
area, size, n_rooms = row['area'], row['size'], row['n_rooms']
return size * per_meter_mapping[area] + n_rooms * \
per_room_additional_price[area]
# Create toy data
AREAS = ['Mercaz', 'Old North', 'Florentine']
def create_samples(n_samples):
"""
Helper method that creates dataset DataFrames
Note that the np.random.choice call only determines the number of rooms and the size of the house
(the price, which we calculate later, is deterministic)
:param n_samples: int (number of samples for each area (suburb))
:return: pd.DataFrame
"""
samples = []
for n_rooms in np.random.choice(range(1, 6), n_samples):
samples += [(area, int(np.random.normal(25, 5)), n_rooms) for area in
AREAS]
return pd.DataFrame(samples, columns=['area', 'size', 'n_rooms'])
# Create the train and validation sets
train = create_samples(n_samples=1000)
val = create_samples(n_samples=100)
# Calculate the prices for each set
train['price'] = train.apply(house_price_func, axis=1)
val['price'] = val.apply(house_price_func, axis=1)
# Define the features and the y vectors
continuous_cols = ['size', 'n_rooms']
categorical_cols = ['area']
y_col = ['price']
X_train_continuous = train[continuous_cols]
X_train_categorical = train[categorical_cols]
y_train = train[y_col]
X_val_continuous = val[continuous_cols]
X_val_categorical = val[categorical_cols]
y_val = val[y_col]
# Normalization
# Normalizing both train and test sets to have 0 mean and std. of 1 using the
# train set mean and std.
# This will give each feature an equal initial importance and speed up the
# training time
train_mean = X_train_continuous.mean(axis=0)
train_std = X_train_continuous.std(axis=0)
X_train_continuous = X_train_continuous - train_mean
X_train_continuous /= train_std
X_val_continuous = X_val_continuous - train_mean
X_val_continuous /= train_std
# Build a model using a categorical variable
# First let's define a helper class for the categorical variable
class EmbeddingMapping():
"""
Helper class for handling categorical variables
An instance of this class should be defined for each categorical variable
we want to use.
"""
def __init__(self, series):
# get a list of unique values
values = series.unique().tolist()
# Set a dictionary mapping from values to integer value
# In our example this will be {'Mercaz': 1, 'Old North': 2,
# 'Florentine': 3}
self.embedding_dict = {value: int_value + 1 for int_value, value in
enumerate(values)}
# The num_values will be used as the input_dim when defining the
# embedding layer.
# It will also be returned for unseen values
self.num_values = len(values) + 1
def get_mapping(self, value):
# If the value was seen in the training set, return its integer mapping
if value in self.embedding_dict:
return self.embedding_dict[value]
# Else, return the same integer for unseen values
else:
return self.num_values
# Create an embedding column for the train/validation sets
area_mapping = EmbeddingMapping(X_train_categorical['area'])
X_train_categorical = \
X_train_categorical.assign(area_mapping=X_train_categorical['area']
.apply(area_mapping.get_mapping))
X_val_categorical = \
X_val_categorical.assign(area_mapping=X_val_categorical['area']
.apply(area_mapping.get_mapping))
# Define the input layers
# Define the embedding input
area_input = Input(shape=(1,), dtype='int32')
# Decide to what vector size we want to map our 'area' variable.
# I'll use 1 here because we only have three areas
embeddings_output = 2
# Let’s define the embedding layer and flatten it
area_embedings = Embedding(output_dim=embeddings_output,
input_dim=area_mapping.num_values,
input_length=1, name="embedding_layer")(area_input)
area_embedings = keras.layers.Reshape((embeddings_output,))(area_embedings)
# Define the continuous variables input (just like before)
continuous_input = Input(shape=(X_train_continuous.shape[1], ))
# Concatenate continuous and embeddings inputs
all_input = keras.layers.concatenate([continuous_input, area_embedings])
# To merge them together we will use Keras Functional API
# Will define a simple model with 2 hidden layers, with 25 neurons each.
# Define the model
units=25
dense1 = Dense(units=units, activation='relu')(all_input)
dense2 = Dense(units, activation='relu')(dense1)
predictions = Dense(1)(dense2)
# Note using the input object 'area_input' not 'area_embeddings'
model = Model(inputs=[continuous_input, area_input], outputs=predictions)
# Lets train the model
epochs = 100 # to train properly, use 10000
model.compile(loss='mse',
optimizer=keras.optimizers.Adam(lr=.8, beta_1=0.9,
beta_2=0.999, decay=1e-03,
amsgrad=True))
# Note continuous and categorical columns are inserted in the same order as
# defined in all_inputs
history = model.fit([X_train_continuous, X_train_categorical['area_mapping']],
y_train, epochs=epochs, batch_size=128, callbacks=[
periodic_logger_250], verbose=0,
validation_data=([X_val_continuous, X_val_categorical[
'area_mapping']], y_val))
# Observe the embedding layer
embeddings_output = model.get_layer('embedding_layer').get_weights()[0]
print(f'Embedding layer:\n{embeddings_output}')
print(f'Embedding layer shape: {embeddings_output.shape}')
【问题讨论】：
标签： python machine-learning keras neural-network dimensionality-reduction