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AE-grid_FINAL_v2.py
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AE-grid_FINAL_v2.py
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import sys
import torch
import torch.nn as nn
import torchvision
import torchvision.transforms as transforms
from torch.utils.data import Dataset, DataLoader, TensorDataset
import numpy as np
import math
import pandas as pd
from scipy.optimize import minimize
import fastai
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
from matplotlib import cm
from matplotlib.tri import Triangulation
from matplotlib.colors import LinearSegmentedColormap
import seaborn as sns
class IVSDataset(Dataset):
def __init__(self, path, transform=None):
# Load the data
# TODO --> the arg 'usecols' in self.data is hardcoded, this should ALWAYS refer to implied vol
self.data = np.loadtxt(path, delimiter=",", dtype=np.float32,
skiprows=1, usecols=(6,))
self.dates = pd.read_csv(path, usecols=['date'])
self.transform = transform
def __len__(self):
# Each date has 40 observations
return len(self.data) // 40
def __getitem__(self, idx):
# Extract the rows corresponding to the idx-th date
start_idx = idx * 40
end_idx = start_idx + 40
# Makes sure to obtain correct data if indexing happens from the back with negative vals
if end_idx == 0:
sample = self.data[start_idx:]
else:
sample = self.data[start_idx:end_idx]
# Extract features and target from the sample
features = sample[:]
target = sample
# Convert to tensor
features = torch.tensor(features, dtype=torch.float32)
target = torch.tensor(target, dtype=torch.float32)
# Obtain the corresponding string date
date = self.dates.iloc[start_idx][0]
if self.transform:
features = self.transform(features)
return features, target
class Autoencoder(nn.Module):
def __init__(self, architecture, latent_size):
self.architecture = architecture
self.latent_size = latent_size
# N, 40
super().__init__()
self.encoder_layers = nn.ModuleList()
self.decoder_layers = nn.ModuleList()
# The length of the architecture
enc_dec_len = int((len(architecture) - 1) / 2)
# Separate the architecture of decoder and encoder
encoder_arch = architecture[:enc_dec_len]
decoder_arch = architecture[enc_dec_len + 1:]
# Encoder
for i in range(enc_dec_len):
if i == 0:
self.encoder_layers.append(nn.Linear(input_size, encoder_arch[i]))
self.encoder_layers.append(nn.Tanh())
self.encoder_layers.append(nn.BatchNorm1d(encoder_arch[i]))
else:
self.encoder_layers.append(nn.Linear(encoder_arch[i - 1], encoder_arch[i]))
self.encoder_layers.append(nn.Tanh())
self.encoder_layers.append(nn.BatchNorm1d(encoder_arch[i]))
# Create the latent layer
self.encoder_layers.append(nn.Linear(encoder_arch[-1], latent_size))
self.encoder_layers.append(nn.Tanh())
self.encoder_layers.append(nn.BatchNorm1d(latent_size))
# Decoder
for i in range(enc_dec_len):
if i == 0:
self.decoder_layers.append(nn.Linear(latent_size, decoder_arch[i]))
self.decoder_layers.append(nn.Tanh())
self.decoder_layers.append(nn.BatchNorm1d(decoder_arch[i]))
else:
self.decoder_layers.append(nn.Linear(decoder_arch[i - 1], decoder_arch[i]))
self.decoder_layers.append(nn.Tanh())
self.decoder_layers.append(nn.BatchNorm1d(decoder_arch[i]))
# Build output layer
self.decoder_layers.append(nn.Linear(decoder_arch[-1], 40))
self.decoder_layers.append(nn.Sigmoid())
# Convert to Sequential modules
self.encoder = nn.Sequential(*self.encoder_layers)
self.decoder = nn.Sequential(*self.decoder_layers)
def forward(self, x):
encoded = self.encoder(x)
# encoded = model.add_contract_to_z(encoded,)
print(f'latent vec of current sample: {encoded}')
decoded = self.decoder(encoded)
return decoded
def get_z(self, x):
z = self.encoder(x)
return z
def create_architecture(width, latent_size):
# For now the the network architecture is fixed for a width of 2,3 and 4 hidden layers (excluded the latent z space)
depth = []
if width == 3:
depth = [32, latent_size, 32]
elif width == 5:
depth = [32, 16, latent_size, 16, 32]
elif width == 7:
depth = [32, 16, 8, latent_size, 8, 16, 32]
else:
print('Width should be of size 3, 5 or 7')
sys.exit()
return depth
def training(eta, lr, wd, mdl, data, tr_criterion, output_df=None):
outputs = []
columns = []
avg_epoch_loss_list = []
mdl.train()
optim = torch.optim.Adam(mdl.parameters(), lr=lr, weight_decay=wd)
# This creates a seperate list of column names based on the latent dimension
for l in range(mdl.latent_size):
columns.append(f'Z_{l+1}')
# Create the Dataframe that keeps track of all the z-vals
z_df = pd.DataFrame(columns=columns)
# Start training
for epoch in range(eta):
loss_list = []
for (img, _) in data:
# First create an empty tensor per sample that stores the single points of the reconstructed surface
reconstructed_surf = mdl(img)
loss = tr_criterion(reconstructed_surf, img)
# Obtain the z-value for this sample
z = model.get_z(img).detach().numpy()
# Convert the NumPy array to a temporary DataFrame
temp_df = pd.DataFrame(z, columns=columns)
# Append the temporary DataFrame to the main DataFrame
z_df = z_df.append(temp_df, ignore_index=True)
# Print gradients
print("Gradients:")
for name, param in mdl.named_parameters():
if param.grad is not None:
print(f"{name}: {param.grad.data.sum()}")
# print(name, param.data)
print(f'Loss of current sample: {loss.item():.7f} of epoch: {epoch+1}')
optim.zero_grad()
loss.backward()
optim.step()
outputs.append((epoch, img, reconstructed_surf))
loss_list.append(loss.item())
avg_epoch_loss = sum(loss_list)/ len(loss_list)
print(f'Epoch: {epoch + 1}, Loss:{avg_epoch_loss:.4f}')
avg_epoch_loss_list.append(avg_epoch_loss)
# Write the z values used in training to a column
z_df.to_csv(f'data/to_use/output/{wise}/{ticker}/TRAINING_z_values{model.latent_size}_{model_version}')
return avg_epoch_loss_list
def calibrate(model, subset_size, latent_size, num_iterations, dataloader):
model.eval()
# Obtain the training data
cal_outputs = []
# Define the calibration criterion
cal_criterion = nn.MSELoss()
for (img, _) in dataloader:
z_init = np.zeros(latent_size)
# Sample x random points
indices = np.random.choice(40, size=subset_size, replace=False)
known_points = img.squeeze()[indices]
def objective(z):
z = torch.tensor(z, dtype=torch.float32, requires_grad=False).view(1, -1)
recon_full_surface = model.decoder(z).squeeze()
recon_points = recon_full_surface[indices]
loss = cal_criterion(recon_points, known_points)
return loss.item()
result = minimize(objective, z_init, method='Nelder-Mead', options={'maxiter': num_iterations})
z_optimized = torch.tensor(result.x, dtype=torch.float32, requires_grad=False).view(1, -1)
recon_optimized = model.decoder(z_optimized).squeeze()
loss_optimized = cal_criterion(recon_optimized[indices], known_points).item()
print(f'Optimization result: {result.message}')
print(f'Optimized z values are {z_optimized}')
print(f'Final Loss: {loss_optimized:.6f}')
cal_outputs.append((indices, z_optimized, recon_optimized, known_points, loss_optimized))
return cal_outputs
# Data preprocessing
ticker_list = ['MSFT', 'TSLA', 'XOM', 'SPX']
ticker = ticker_list[3]
wise = 'gridwise'
path = f'data/to_use/{ticker}'
model_version = 'v7'
df = pd.read_csv(path)
# Make train test split
if ticker == 'TSLA':
train_start = '2010-07-08'
else:
train_start = '2010-01-04'
validation_start = '2019-01-02'
test_start = '2020-01-02'
# Split the DataFrame based on the found index
val_split_index = df[df['date'] == validation_start].index.min()
test_split_index = df[df['date'] == test_start].index.min()
train_df = df.loc[:val_split_index - 1]
val_df = df.loc[val_split_index: test_split_index -1]
test_df = df.loc[test_split_index:]
train_df.to_csv(f'{path}_train')
val_df.to_csv(f'{path}_val')
test_df.to_csv(f'{path}_test')
# Define the grid points and create a dictionary for later reference
tenor_points = [30, 60, 91, 182, 273, 365, 547, 730]
delta_points = [10, 25, 50, 75, 90]
tmin, tmax = min(tenor_points), max(tenor_points)
for i, val in enumerate(tenor_points):
tenor_points[i] = (val-tmin) / (tmax-tmin)
dmin, dmax = min(delta_points), max(delta_points)
for i, val in enumerate(delta_points):
delta_points[i] = (val-dmin) / (dmax-dmin)
grid_points = [tenor_points, delta_points]
# Flatten the grid_points to get a list of all pairs
all_pairs = [(x, y) for x in grid_points[0] for y in grid_points[1]]
# Create a dictionary with keys from 0 to 39 and corresponding grid points
grid_dict = {i: pair for i, pair in enumerate(all_pairs)}
# Create a tensorlist with the option contract pair
tensor_list = [torch.tensor(value) for value in grid_dict.values()]
contract_tensor = torch.stack(tensor_list)
tr = pd.read_csv(f'{path}_train')
val = pd.read_csv(f'{path}_val')
ts = pd.read_csv(f'{path}_test')
tr_path = f'data/to_use/{ticker}_train'
val_path = f'data/to_use/{ticker}_val'
ts_path = f'data/to_use/{ticker}_test'
train_dataset = IVSDataset(tr_path)
val_dataset = IVSDataset(val_path)
test_dataset = IVSDataset(ts_path)
tr_batch_size = 8
train_dataloader = DataLoader(train_dataset, batch_size=tr_batch_size, shuffle=False, drop_last=True)
val_dataloader = DataLoader(val_dataset, batch_size=tr_batch_size, shuffle=False)
test_dataloader = DataLoader(test_dataset, batch_size=1,shuffle=False) # TODO --> the batchsize of the testdataset is fixed to one, possibly change
# Use dataloader
train_dataiter = iter(train_dataloader)
val_dataiter = iter(val_dataloader)
test_dataiter = iter(test_dataloader)
# note that for this use-case the 'images' are the same as the 'labels'
tr_images, tr_labels = next(train_dataiter)
val_images, val_labels = next(val_dataiter)
ts_images, ts_labels = next(test_dataiter)
# Input size is fixed
input_size = 40
### HYPER PARAMETER TRAINING SEARCH ###
to_train_hyper_search = False
if to_train_hyper_search:
weight_decay_list = [1e-3, 1e-2, 1e-1]
width = 7
max_epochs = 5
lr_steps = [1e-1, 1e-2, 1e-3, 1e-4]
latent_size_list = [1, 2, 3, 4]
col_names = [f"eta{eta}" for eta in range(1, max_epochs + 1)]
row_names = [f"wd{wd}, l{l}, lr{lr}" for wd in weight_decay_list for l in latent_size_list
for lr in lr_steps]
tr_loss_df = pd.DataFrame(index=row_names, columns=col_names)
for wd in weight_decay_list:
for lr in lr_steps:
for l in latent_size_list:
architecture = create_architecture(width, l)
model = Autoencoder(architecture, l)
losses = training(max_epochs, lr, wd=wd, mdl=model, data=val_dataloader,
tr_criterion=nn.MSELoss())
tr_loss_df.loc[f"wd{wd}, l{l}, lr{lr}"] = losses
tr_loss_df.to_csv(f'{path}_hyperparameter_losses_{wise}_{model_version}')
### TRAINING ###
to_train = False
if to_train:
# Create the model
# These values are based on the above hyper parameter search
latent_size_list = [1, 2, 3, 4]
for l in latent_size_list:
width = 7 #TODO --> KEEP FIXED AFTER HYPER SEARCH
latent_size = l
epochs = 4 #TODO --> KEEP FIXED AFTER HYPER SEARCH
weight_decay = 0.001 #TODO --> KEEP FIXED AFTER HYPER SEARCH
learning_rate = 0.01 #TODO --> KEEP FIXED AFTER HYPER SEARCH
architecture = create_architecture(width, latent_size)
model = Autoencoder(architecture, latent_size)
training(eta=epochs, lr=learning_rate, wd=weight_decay, mdl=model, data=train_dataloader, tr_criterion=nn.MSELoss())
torch.save(model, f'data/to_use/models/{wise}/{ticker}/{ticker}_model_latentdim{l}_width7_{model_version}')
### CALIBRATION / FORECASTING ###
to_calibrate = True
if to_calibrate:
latent_size_list = [1, 2, 3, 4]
subset_size_list = [5, 10, 15, 20, 25, 30, 35, 40]
for l in latent_size_list:
width = 7
model = torch.load(f'data/to_use/models/{wise}/{ticker}/{ticker}_model_latentdim{l}_width7_{model_version}')
model.eval()
for s in subset_size_list:
subset_size = s
cal_outputs = calibrate(model, subset_size=subset_size, latent_size=l, num_iterations=100, dataloader=test_dataloader)
# Make a dataframe containing the calibrated/forecast outputs
fc_df = pd.DataFrame()
date_list, indices_list, z_list, fc_list, known_list, loss_list = [], [], [], [], [], []
# Fill the dataframe by looping through the output, which is in the form of a tuple list
for ele in cal_outputs:
indices_list.append(ele[0])
z_list.append(ele[1].detach().numpy())
fc_list.append(ele[2].detach().numpy())
known_list.append(ele[3].detach().numpy())
loss_list.append(ele[4])
lossfinal = sum(loss_list)/len(loss_list)
print(f' final loss is {lossfinal} for l:{l}, s:{s}')
# Fill the dataframe
unique_dates = test_df['date'].drop_duplicates()
fc_df['date'] = unique_dates
fc_df['indices'] = indices_list
fc_df['z'] = z_list
fc_df['fc_vol'] = fc_list
fc_df['known_vol_ss'] = known_list
fc_df['loss_of_ss'] = loss_list
# Save the dataframe
fc_df.to_csv(f'data/to_use/output/{wise}/{ticker}/calibration_{ticker}_ss{subset_size}_ld{l}_{model_version}')