safrooze commented on a change in pull request #9512: add LSTNet example
URL: https://github.com/apache/incubator-mxnet/pull/9512#discussion_r190739324
 
 

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 File path: example/multivariate_time_series/src/train.py
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+# Licensed to the Apache Software Foundation (ASF) under one
+# or more contributor license agreements.  See the NOTICE file
+# distributed with this work for additional information
+# regarding copyright ownership.  The ASF licenses this file
+# to you under the Apache License, Version 2.0 (the
+# "License"); you may not use this file except in compliance
+# with the License.  You may obtain a copy of the License at
+#
+#   http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing,
+# software distributed under the License is distributed on an
+# "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+# KIND, either express or implied.  See the License for the
+# specific language governing permissions and limitations
+# under the License.
+
+#modules
+import math
+import os
+import sys
+import numpy as np
+import math
+import mxnet as mx
+
+#custom modules
+import config
+
+##############################################
+#load input data
+##############################################
+
+if config.q < min(config.filter_list):
+    print("\n\n\n\t\tINCREASE q...")
+
+#read in multivariate time series data
+x = np.load("../data/electric.npy")
+
+print("\n\tlength of time series: ", x.shape[0])
+
+if config.max_training_examples:
+    x = x[:config.max_training_examples]
+
+##############################################
+# loop through data constructing features/labels
+##############################################
+
+#create arrays for storing values in
+x_ts = np.zeros((x.shape[0] - config.q,  config.q, x.shape[1]))
+y_ts = np.zeros((x.shape[0] - config.q, x.shape[1]))
+
+#loop through collecting records for ts analysis depending on q
+for n in list(range(x.shape[0])):
+
+    if n + 1 < config.q:
+        continue
+
+    if n + 1 + config.horizon > x.shape[0]:
+        continue
+
+    else:
+        y_n = x[n+config.horizon,:]
+        x_n = x[n+1 - config.q:n+1,:]
+
+    x_ts[n - config.q] = x_n
+    y_ts[n - config.q] = y_n
+
+#split into training and testing data
+training_examples = int(x_ts.shape[0] * config.split[0])
+valid_examples = int(x_ts.shape[0] * config.split[1])
+
+x_train = x_ts[:training_examples]
+y_train = y_ts[:training_examples]
+x_valid = x_ts[training_examples:training_examples + valid_examples]
+y_valid = y_ts[training_examples:training_examples + valid_examples]
+x_test = x_ts[training_examples + valid_examples:]
+y_test = y_ts[training_examples + valid_examples:]
+
+# print("\nsingle X, Y record example:\n\n")
+# print(x_train[:1])
+# print(y_train[:1])
+# print(x_train[1:2])
+# print(y_train[1:2])
+
+print("\ntraining examples: ", x_train.shape[0],
+        "\n\nvalidation examples: ", x_valid.shape[0],
+        "\n\ntest examples: ", x_test.shape[0], 
+        "\n\nwindow size: ", config.q,
+        "\n\nskip length p: ", config.seasonal_period / config.time_interval)
+
+###############################################
+#define input data iterators for training and testing
+###############################################
+
+train_iter = mx.io.NDArrayIter(data={'seq_data': x_train},
+                               label={'seq_label': y_train},
+                               batch_size=config.batch_size)
+
+val_iter = mx.io.NDArrayIter(data={'seq_data': x_valid},
+                             label={'seq_label': y_valid},
+                             batch_size=config.batch_size)
+
+test_iter = mx.io.NDArrayIter(data={'seq_data': x_test},
+                             label={'seq_label': y_test},
+                             batch_size=config.batch_size)
+
+#print input shapes
+input_feature_shape = train_iter.provide_data[0][1]
+input_label_shape = train_iter.provide_label[0][1]
+print("\nfeature input shape: ", input_feature_shape,
+      "\nlabel input shape: ", input_label_shape)
+
+
+####################################
+# define neural network graph
+####################################
+
+#create placeholders to refer to when creating network graph (names are 
defined in data iterators)
+seq_data = mx.symbol.Variable(train_iter.provide_data[0].name)
+seq_label = mx.sym.Variable(train_iter.provide_label[0].name)
+
+# scale input data so features are all between 0 and 1 (may not need this)
+normalized_seq_data = mx.sym.BatchNorm(data = seq_data)
+
+# reshape data before applying convolutional layer (takes 4D shape incase you 
ever work with images)
+conv_input = mx.sym.Reshape(data=seq_data, shape=(config.batch_size, 1, 
config.q, x.shape[1]))
+
+
+print("\n\t#################################\n\
+       #convolutional component:\n\
+       #################################\n")
+
+#create many convolutional filters to slide over the input
+outputs = []
+for i, filter_size in enumerate(config.filter_list):
+
+        # zero pad the input array, adding rows at the top only
+        # this ensures the number output rows = number input rows after 
applying kernel
+        padi = mx.sym.pad(data=conv_input, mode="constant", constant_value=0, 
+                            pad_width=(0, 0, 0, 0, filter_size - 1, 0, 0, 0))  
                
+        padi_shape = padi.infer_shape(seq_data=input_feature_shape)[1][0]
+
+        # apply convolutional layer (the result of each kernel position is a 
single number)
+        convi = mx.sym.Convolution(data=padi, kernel=(filter_size, 
x.shape[1]), num_filter=config.num_filter)
+        convi_shape = convi.infer_shape(seq_data=input_feature_shape)[1][0]
+
+        #apply relu activation function as per paper
+        acti = mx.sym.Activation(data=convi, act_type='relu')
+
+        #transpose output to shape in preparation for recurrent layer 
(batches, q, num filter, 1)
+        transposed_convi = mx.symbol.transpose(data=acti, axes= (0,2,1,3))
+        transposed_convi_shape = 
transposed_convi.infer_shape(seq_data=input_feature_shape)[1][0]
+
+        #reshape to (batches, q, num filter)
+        reshaped_transposed_convi = mx.sym.Reshape(data=transposed_convi, 
target_shape=(config.batch_size, config.q, config.num_filter))
+        reshaped_transposed_convi_shape = 
reshaped_transposed_convi.infer_shape(seq_data=input_feature_shape)[1][0]
+
+        #append resulting symbol to a list
+        outputs.append(reshaped_transposed_convi)
+
+        print("\n\tpadded input size: ", padi_shape)
+        print("\n\t\tfilter size: ", (filter_size, x.shape[1]), " , number of 
filters: ", config.num_filter)
+        print("\n\tconvi output layer shape (notice length is maintained): ", 
convi_shape)
+        print("\n\tconvi output layer after transposing: ", 
transposed_convi_shape)
+        print("\n\tconvi output layer after reshaping: ", 
reshaped_transposed_convi_shape)
+
+#concatenate symbols to (batch, total_filters, q, 1)
+conv_concat = mx.sym.Concat(*outputs, dim=2)
+conv_concat_shape = conv_concat.infer_shape(seq_data=input_feature_shape)[1][0]
+print("\nconcat output layer shape: ", conv_concat_shape)
+
+#apply a dropout layer
+conv_dropout = mx.sym.Dropout(conv_concat, p = config.dropout)
+
+print("\n\t#################################\n\
+       #recurrent component:\n\
+       #################################\n")
+
+#define a gated recurrent unit cell, which we can unroll into many symbols 
based on our desired time dependancy
+cell_outputs = []
+for i, recurrent_cell in enumerate(config.rcells):
+
+    #unroll the lstm cell, obtaining a symbol each time step
+    outputs, states = recurrent_cell.unroll(length=conv_concat_shape[1], 
inputs=conv_dropout, merge_outputs=False, layout="NTC")
+
+    #we only take the output from the recurrent layer at time t
+    output = outputs[-1]
+
+    #just ensures we can have multiple RNN layer types
+    cell_outputs.append(output)
+
+    print("\n\teach of the ", conv_concat_shape[1], " unrolled hidden cells in 
the RNN is of shape: ",
+          output.infer_shape(seq_data=input_feature_shape)[1][0], 
+          "\nNOTE: only the output from the unrolled cell at time t is 
used...")
+
+
+#concatenate output from each type of recurrent cell
+rnn_component = mx.sym.concat(*cell_outputs, dim=1)
+print("\nshape after combining RNN cell types: ", 
rnn_component.infer_shape(seq_data=input_feature_shape)[1][0])
+
+#apply a dropout layer to output
+rnn_dropout = mx.sym.Dropout(rnn_component, p=config.dropout)
+
+print("\n\t#################################\n\
+       #recurrent-skip component:\n\
+       #################################\n")
+
+# connect hidden cells that are a defined time interval apart,
+# because in practice very long term dependencies are not captured by LSTM/GRU
+# eg if you are predicting electricity consumption you want to connect data 
24hours apart
+# and if your data is every 60s you make a connection between the hidden 
states at time t and at time t + 24h
+# this connection would not be made by an LSTM since 24 is so many hidden 
states away
+
+#define number of cells to skip through to get a certain time interval back 
from current hidden state
+p =int(config.seasonal_period / config.time_interval)
+print("adding skip connections for cells ", p, " intervals apart...")
+
+#define a gated recurrent unit cell, which we can unroll into many symbols 
based on our desired time dependancy
+skipcell_outputs = []
+for i, recurrent_cell in enumerate(config.skiprcells):
+
+    #unroll the rnn cell, obtaining an output and state symbol each time
+    outputs, states = recurrent_cell.unroll(length=conv_concat_shape[1], 
inputs=conv_dropout, merge_outputs=False, layout="NTC")
+
+    #for each unrolled timestep
+    counter = 0
+    connected_outputs = []
+    for i, current_cell in enumerate(reversed(outputs)):
+
+        #try adding a concatenated skip connection
+        try:
+
+            #get seasonal cell p steps apart
+            skip_cell = outputs[i + p]
+
+            #connect this cell to is seasonal neighbour
+            cell_pair = [current_cell, skip_cell]
 
 Review comment:
   @opringle Do you agree?

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