GeForce GTX 1070 (8GB)
ASRock Z170M Pro4S [Intel Z170chipset]
Ubuntu 14.04 LTS desktop amd64
TensorFlow v0.11
cuDNN v5.1 for Linux
CUDA v8.0
Python 2.7.6
IPython 5.1.0 -- An enhanced Interactive Python.
gcc (Ubuntu 4.8.4-2ubuntu1~14.04.3) 4.8.4
GNU bash, version 4.3.8(1)-release (x86_64-pc-linux-gnu)
v0.1: http://qiita.com/7of9/items/09262a2ab01d037d169b
概要
This article is related to ADDA (light scattering simulator based on the discrete dipole approximation).
ADDAの計算で重要となるのが、X,Y,Z方向の電場の値。ランダムな初期値を用いると計算が遅く、最終の解に近い初期値を用いると計算が早くなることは経験済。
supercomputerで計算した最終解を元にDeep learningで学習を行い、その結果を通常のPCで用いる。そうすることで、通常のPC上での計算を高速化し、Communityとしての計算資源の効率利用を目論んでいる。
X,Y,Z方向の電場の値をTensorFlowで学習させようとしている。
学習コード:v0.4
v0.3: http://qiita.com/7of9/items/80a7d62a4240f70b1c4e
において、ExrとExiの同時学習ができた。
調子に乗ってExr, Exi, Eyr, Eyi, Ezr, Eziの全学習をしてみた。
#!/usr/bin/env python
# -*- coding: utf-8 -*-
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
import sys
import tensorflow as tf
import tensorflow.contrib.slim as slim
import numpy as np
'''
v0.4 Mar. 03, 2017
- learn [Exr, Exi, Eyr, Eyi, Ezr, Ezi]
v0.3 Mar. 03, 2017
- learn [Exr] and [Exi]
- add [Eyr, Eri, Ezr, Ezi] for decode_csv()
v0.2 Apr. 29, 2017
- save to [model_variables_170429.npy]
- learn [Exr] only, instead of [Exr, Exi]
v0.1 Apr. 23, 2017
- change [NUM_EXAMPLES_PER_EPOCH_FOR_TRAIN] from [100] to [9328]
- change input layer's node from [2] to [3]
- [input.csv] has 9 columns
=== branched from [learn_xxyyfunc_170321.py] to [learnExr_170422.py] ===
v0.5 Apr. 01, 2017
- change network from [7,7,7] to [100, 100, 100]
v0.4 Mar. 31, 2017
- calculate [capacity] from [min_queue_examples] and [batch_size]
v0.3 Mar. 24, 2017
- change [capacity] from 100 to 40
v0.2 Mar. 24, 2017
- change [capacity] from 40 to 100
- output [model_variables] after training
v0.1 Mar. 22, 2017
- learn mapping of R^2 input to R^2 output
+ using data prepared by [prep_data_170321.py]
- branched from sine curve learning at
http://qiita.com/7of9/items/ce58e66b040a0795b2ae
'''
# codingrule:PEP8
filename_queue = tf.train.string_input_producer(["input.csv"])
# prase CSV
reader = tf.TextLineReader()
key, value = reader.read(filename_queue)
def_rec = [[0.], [0.], [0.], [0.], [0.], [0.], [0.], [0.], [0.]]
wrk = tf.decode_csv(value, record_defaults=def_rec)
xpos, ypos, zpos, Exr, Exi, Eyr, Eyi, Ezr, Ezi = wrk
inputs = tf.pack([xpos, ypos, zpos])
output = tf.pack([Exr, Exi, Eyr, Eyi, Ezr, Ezi])
batch_size = 4 # [4]
# Ref: cifar10_input.py
min_fraction_of_examples_in_queue = 0.2 # 0.4
NUM_EXAMPLES_PER_EPOCH_FOR_TRAIN = 9328
min_queue_examples = int(NUM_EXAMPLES_PER_EPOCH_FOR_TRAIN *
min_fraction_of_examples_in_queue)
#
inputs_batch, output_batch = tf.train.shuffle_batch(
[inputs, output], batch_size, capacity=min_queue_examples + 3 * batch_size,
min_after_dequeue=batch_size)
input_ph = tf.placeholder("float", [None, 3])
output_ph = tf.placeholder("float", [None, 6])
## network
hiddens = slim.stack(input_ph, slim.fully_connected, [100, 100, 100],
activation_fn=tf.nn.sigmoid, scope="hidden")
prediction = slim.fully_connected(
hiddens, 6, activation_fn=None, scope="output")
loss = tf.contrib.losses.mean_squared_error(prediction, output_ph)
train_op = slim.learning.create_train_op(loss, tf.train.AdamOptimizer(0.001))
init_op = tf.initialize_all_variables()
with tf.Session() as sess:
coord = tf.train.Coordinator()
threads = tf.train.start_queue_runners(sess=sess, coord=coord)
try:
sess.run(init_op)
for i in range(90000): # 30000
inpbt, outbt = sess.run([inputs_batch, output_batch])
_, t_loss = sess.run([train_op, loss],
feed_dict={input_ph: inpbt, output_ph: outbt})
if (i+1) % 100 == 0:
print("%d,%f" % (i+1, t_loss))
sys.stdout.flush()
finally:
coord.request_stop()
# output the model
model_variables = slim.get_model_variables()
res = sess.run(model_variables)
np.save('model_variables_170429.npy', res)
coord.join(threads)
lossの経過
減少度合いは悪くなったが、一応減少していっている。
結果
実部
虚部
Exi(学習対象と学習結果)
Eyi(学習対象と学習結果)
Ezi(学習対象と学習結果)
考察
Zについてはカラーバーの範囲が違うこともあるが、再現性は少し悪い。
X,Yについてはほぼ再現できたようだ。
TODO
- 線形方程式を解きなおす