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AI Features

Chapter 13: Machine Learning in Robotics

What You'll Learn

  1. Supervised Learning for Perception
  2. Reinforcement Learning for Control
  3. Imitation Learning from Demonstrations
  4. Online Learning and Adaptation
  5. Sim-to-Real Transfer
  6. Safe Learning for Robotics

Introduction

Machine learning has revolutionized robotics by enabling robots to acquire skills through data rather than explicit programming. This chapter explores various learning paradigms that empower humanoid robots to adapt, improve, and perform complex tasks in dynamic environments.

1. Supervised Learning for Perception

1.1 Deep Neural Networks for Sensor Processing

import torch
import torch.nn as nn
import torch.nn.functional as F
import numpy as np
from torch.utils.data import Dataset, DataLoader

class SensorDataset(Dataset):
def __init__(self, sensor_data, labels, transform=None):
self.sensor_data = sensor_data
self.labels = labels
self.transform = transform

def __len__(self):
return len(self.labels)

def __getitem__(self, idx):
data = self.sensor_data[idx]
label = self.labels[idx]

if self.transform:
data = self.transform(data)

return torch.FloatTensor(data), torch.FloatTensor(label)

class MultimodalPerceptionNet(nn.Module):
def __init__(self, vision_input_size, tactile_input_size, proprioception_input_size, output_size):
super(MultimodalPerceptionNet, self).__init__()

# Vision branch
self.vision_branch = nn.Sequential(
nn.Linear(vision_input_size, 512),
nn.ReLU(),
nn.Dropout(0.2),
nn.Linear(512, 256),
nn.ReLU(),
nn.Linear(256, 128)
)

# Tactile branch
self.tactile_branch = nn.Sequential(
nn.Linear(tactile_input_size, 256),
nn.ReLU(),
nn.Dropout(0.2),
nn.Linear(256, 128),
nn.ReLU(),
nn.Linear(128, 64)
)

# Proprioception branch
self.proprioception_branch = nn.Sequential(
nn.Linear(proprioception_input_size, 256),
nn.ReLU(),
nn.Dropout(0.2),
nn.Linear(256, 128),
nn.ReLU(),
nn.Linear(128, 64)
)

# Fusion layer
self.fusion_layer = nn.Sequential(
nn.Linear(128 + 64 + 64, 256),
nn.ReLU(),
nn.Dropout(0.3),
nn.Linear(256, 128),
nn.ReLU(),
nn.Linear(128, output_size)
)

def forward(self, vision, tactile, proprioception):
# Process each modality
vision_features = self.vision_branch(vision)
tactile_features = self.tactile_branch(tactile)
proprioception_features = self.proprioception_branch(proprioception)

# Fuse features
fused_features = torch.cat([vision_features, tactile_features, proprioception_features], dim=1)
output = self.fusion_layer(fused_features)

return output

class PerceptionTrainer:
def __init__(self, model, learning_rate=1e-3):
self.model = model
self.optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)
self.criterion = nn.MSELoss()
self.device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
self.model.to(self.device)

def train_epoch(self, dataloader):
self.model.train()
total_loss = 0
num_batches = len(dataloader)

for batch_idx, (vision, tactile, proprioception, targets) in enumerate(dataloader):
vision = vision.to(self.device)
tactile = tactile.to(self.device)
proprioception = proprioception.to(self.device)
targets = targets.to(self.device)

self.optimizer.zero_grad()
outputs = self.model(vision, tactile, proprioception)
loss = self.criterion(outputs, targets)
loss.backward()
self.optimizer.step()

total_loss += loss.item()

return total_loss / num_batches

def validate(self, dataloader):
self.model.eval()
total_loss = 0
predictions = []
targets_list = []

with torch.no_grad():
for vision, tactile, proprioception, targets in dataloader:
vision = vision.to(self.device)
tactile = tactile.to(self.device)
proprioception = proprioception.to(self.device)
targets = targets.to(self.device)

outputs = self.model(vision, tactile, proprioception)
loss = self.criterion(outputs, targets)

total_loss += loss.item()
predictions.append(outputs.cpu().numpy())
targets_list.append(targets.cpu().numpy())

avg_loss = total_loss / len(dataloader)
predictions = np.concatenate(predictions)
targets = np.concatenate(targets_list)

return avg_loss, predictions, targets

1.2 Object Recognition with CNNs

import torchvision.models as models
import torchvision.transforms as transforms

class ObjectRecognitionNet(nn.Module):
def __init__(self, num_classes, pretrained=True):
super(ObjectRecognitionNet, self).__init__()

# Load pretrained ResNet-50
self.backbone = models.resnet50(pretrained=pretrained)

# Remove the final classification layer
self.features = nn.Sequential(*list(self.backbone.children())[:-1])

# Add custom classification head
self.classifier = nn.Sequential(
nn.Dropout(0.5),
nn.Linear(2048, 512),
nn.ReLU(),
nn.Dropout(0.5),
nn.Linear(512, num_classes)
)

def forward(self, x):
# Extract features
features = self.features(x)
features = features.view(features.size(0), -1)

# Classify
output = self.classifier(features)

return output, features

class FewShotLearning:
def __init__(self, feature_extractor):
self.feature_extractor = feature_extractor
self.support_features = {}
self.support_labels = {}

def extract_features(self, images):
"""Extract features from images using the feature extractor"""
self.feature_extractor.eval()
features = []

with torch.no_grad():
for image in images:
# Preprocess image
transform = transforms.Compose([
transforms.Resize((224, 224)),
transforms.ToTensor(),
transforms.Normalize(mean=[0.485, 0.456, 0.406],
std=[0.229, 0.224, 0.225])
])

input_tensor = transform(image).unsqueeze(0)
_, feature = self.feature_extractor(input_tensor)
features.append(feature.squeeze().numpy())

return np.array(features)

def set_support_set(self, support_images, support_labels):
"""Set the support set for few-shot learning"""
support_features = self.extract_features(support_images)

self.support_features = {}
self.support_labels = {}

for i, label in enumerate(support_labels):
if label not in self.support_features:
self.support_features[label] = []
self.support_labels[label] = label

self.support_features[label].append(support_features[i])

# Compute prototypes for each class
self.prototypes = {}
for label, features in self.support_features.items():
self.prototypes[label] = np.mean(features, axis=0)

def predict(self, query_images):
"""Predict labels for query images using nearest prototype"""
query_features = self.extract_features(query_images)

predictions = []
confidences = []

for feature in query_features:
distances = {}

# Compute distance to each prototype
for label, prototype in self.prototypes.items():
distance = np.linalg.norm(feature - prototype)
distances[label] = distance

# Find nearest prototype
predicted_label = min(distances, key=distances.get)
confidence = 1.0 / (1.0 + distances[predicted_label])

predictions.append(predicted_label)
confidences.append(confidence)

return predictions, confidences

2. Reinforcement Learning for Control

2.1 Deep Q-Network (DQN)

import random
from collections import deque
import gymnasium as gym

class DQNNetwork(nn.Module):
def __init__(self, state_size, action_size, hidden_size=256):
super(DQNNetwork, self).__init__()

self.fc1 = nn.Linear(state_size, hidden_size)
self.fc2 = nn.Linear(hidden_size, hidden_size)
self.fc3 = nn.Linear(hidden_size, hidden_size)
self.fc4 = nn.Linear(hidden_size, action_size)

self.dropout = nn.Dropout(0.2)

def forward(self, x):
x = F.relu(self.fc1(x))
x = self.dropout(x)
x = F.relu(self.fc2(x))
x = self.dropout(x)
x = F.relu(self.fc3(x))
x = self.fc4(x)
return x

class ReplayBuffer:
def __init__(self, capacity):
self.buffer = deque(maxlen=capacity)

def push(self, state, action, reward, next_state, done):
self.buffer.append((state, action, reward, next_state, done))

def sample(self, batch_size):
batch = random.sample(self.buffer, batch_size)
state, action, reward, next_state, done = map(np.stack, zip(*batch))
return state, action, reward, next_state, done

def __len__(self):
return len(self.buffer)

class DQNAgent:
def __init__(self, state_size, action_size, lr=1e-3):
self.state_size = state_size
self.action_size = action_size
self.device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')

# Neural networks
self.q_network = DQNNetwork(state_size, action_size).to(self.device)
self.target_network = DQNNetwork(state_size, action_size).to(self.device)
self.update_target_network()

# Optimizer and replay buffer
self.optimizer = torch.optim.Adam(self.q_network.parameters(), lr=lr)
self.replay_buffer = ReplayBuffer(100000)

# Hyperparameters
self.gamma = 0.99
self.epsilon = 1.0
self.epsilon_min = 0.01
self.epsilon_decay = 0.995
self.batch_size = 64
self.target_update_frequency = 1000

self.training_step = 0

def update_target_network(self):
"""Update target network with current network weights"""
self.target_network.load_state_dict(self.q_network.state_dict())

def select_action(self, state, training=True):
"""Select action using epsilon-greedy policy"""
if training and random.random() < self.epsilon:
return random.randrange(self.action_size)

with torch.no_grad():
state_tensor = torch.FloatTensor(state).unsqueeze(0).to(self.device)
q_values = self.q_network(state_tensor)
return q_values.argmax().item()

def train_step(self):
"""Perform one training step"""
if len(self.replay_buffer) < self.batch_size:
return None

# Sample batch
states, actions, rewards, next_states, dones = self.replay_buffer.sample(self.batch_size)

states = torch.FloatTensor(states).to(self.device)
actions = torch.LongTensor(actions).to(self.device)
rewards = torch.FloatTensor(rewards).to(self.device)
next_states = torch.FloatTensor(next_states).to(self.device)
dones = torch.BoolTensor(dones).to(self.device)

# Current Q values
current_q_values = self.q_network(states).gather(1, actions.unsqueeze(1))

# Next Q values from target network
with torch.no_grad():
next_q_values = self.target_network(next_states).max(1)[0]
target_q_values = rewards + (self.gamma * next_q_values * ~dones)

# Compute loss
loss = F.mse_loss(current_q_values.squeeze(), target_q_values)

# Optimize
self.optimizer.zero_grad()
loss.backward()
torch.nn.utils.clip_grad_norm_(self.q_network.parameters(), 1.0)
self.optimizer.step()

# Update epsilon
if self.epsilon > self.epsilon_min:
self.epsilon *= self.epsilon_decay

# Update target network
self.training_step += 1
if self.training_step % self.target_update_frequency == 0:
self.update_target_network()

return loss.item()

2.2 Proximal Policy Optimization (PPO)

class PPOActorCritic(nn.Module):
def __init__(self, state_size, action_size, continuous=True):
super(PPOActorCritic, self).__init__()

self.continuous = continuous
self.action_size = action_size

# Shared layers
self.shared_layers = nn.Sequential(
nn.Linear(state_size, 256),
nn.ReLU(),
nn.Linear(256, 256),
nn.ReLU()
)

# Actor head
self.actor_mean = nn.Linear(256, action_size)
self.actor_log_std = nn.Parameter(torch.zeros(1, action_size))

# Critic head
self.critic = nn.Linear(256, 1)

def forward(self, state):
shared_features = self.shared_layers(state)

# Actor
action_mean = self.actor_mean(shared_features)
action_std = torch.exp(self.actor_log_std)

# Critic
value = self.critic(shared_features)

return action_mean, action_std, value

def get_action_and_value(self, state, action=None):
action_mean, action_std, value = self.forward(state)

if self.continuous:
dist = torch.distributions.Normal(action_mean, action_std)
else:
dist = torch.distributions.Categorical(F.softmax(action_mean, dim=-1))

if action is None:
action = dist.sample()

return action, dist.log_prob(action).sum(1), dist.entropy().sum(1), value.squeeze(1)

class PPOAgent:
def __init__(self, state_size, action_size, continuous=True, lr=3e-4):
self.device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')

self.network = PPOActorCritic(state_size, action_size, continuous).to(self.device)
self.optimizer = torch.optim.Adam(self.network.parameters(), lr=lr)

self.clip_epsilon = 0.2
self.gamma = 0.99
self.gae_lambda = 0.95
self.ppo_epochs = 4
self.minibatch_size = 64
self.entropy_coef = 0.01
self.value_coef = 0.5

def collect_trajectories(self, env, num_timesteps):
"""Collect trajectories for training"""
states = []
actions = []
rewards = []
log_probs = []
values = []
dones = []

state = env.reset()

for _ in range(num_timesteps):
state_tensor = torch.FloatTensor(state).unsqueeze(0).to(self.device)

with torch.no_grad():
action, log_prob, _, value = self.network.get_action_and_value(state_tensor)

next_state, reward, done, _ = env.step(action.cpu().numpy())

states.append(state)
actions.append(action.cpu().numpy())
rewards.append(reward)
log_probs.append(log_prob.cpu().numpy())
values.append(value.cpu().numpy())
dones.append(done)

state = next_state

if done:
state = env.reset()

return {
'states': np.array(states),
'actions': np.array(actions),
'rewards': np.array(rewards),
'log_probs': np.array(log_probs),
'values': np.array(values),
'dones': np.array(dones)
}

def compute_gae(self, rewards, values, dones):
"""Compute Generalized Advantage Estimation"""
advantages = np.zeros_like(rewards)
returns = np.zeros_like(rewards)

gae = 0
for t in reversed(range(len(rewards))):
if t == len(rewards) - 1:
next_value = 0
else:
next_value = values[t + 1]

delta = rewards[t] + self.gamma * next_value * (1 - dones[t]) - values[t]
gae = delta + self.gamma * self.gae_lambda * (1 - dones[t]) * gae
advantages[t] = gae
returns[t] = gae + values[t]

return advantages, returns

def update(self, trajectories):
"""Update policy using PPO"""
states = torch.FloatTensor(trajectories['states']).to(self.device)
actions = torch.FloatTensor(trajectories['actions']).to(self.device)
old_log_probs = torch.FloatTensor(trajectories['log_probs']).to(self.device)

# Compute GAE advantages and returns
advantages, returns = self.compute_gae(
trajectories['rewards'],
trajectories['values'],
trajectories['dones']
)

advantages = torch.FloatTensor(advantages).to(self.device)
returns = torch.FloatTensor(returns).to(self.device)

# Normalize advantages
advantages = (advantages - advantages.mean()) / (advantages.std() + 1e-8)

# Update policy
batch_size = len(states)
indices = np.arange(batch_size)

for _ in range(self.ppo_epochs):
np.random.shuffle(indices)

for start in range(0, batch_size, self.minibatch_size):
end = start + self.minibatch_size
mb_indices = indices[start:end]

mb_states = states[mb_indices]
mb_actions = actions[mb_indices]
mb_old_log_probs = old_log_probs[mb_indices]
mb_advantages = advantages[mb_indices]
mb_returns = returns[mb_indices]

# Get current action and value predictions
_, new_log_prob, entropy, new_value = self.network.get_action_and_value(
mb_states, mb_actions
)

# Compute ratio
log_ratio = new_log_prob - mb_old_log_probs
ratio = log_ratio.exp()

# PPO clip loss
policy_loss1 = -mb_advantages * ratio
policy_loss2 = -mb_advantages * torch.clamp(ratio, 1 - self.clip_epsilon, 1 + self.clip_epsilon)
policy_loss = torch.max(policy_loss1, policy_loss2).mean()

# Value loss
value_loss = F.mse_loss(new_value, mb_returns)

# Entropy bonus
entropy_loss = entropy.mean()

# Total loss
loss = policy_loss + self.value_coef * value_loss - self.entropy_coef * entropy_loss

# Optimize
self.optimizer.zero_grad()
loss.backward()
torch.nn.utils.clip_grad_norm_(self.network.parameters(), 0.5)
self.optimizer.step()

3. Imitation Learning from Demonstrations

3.1 Behavioral Cloning

class BehaviorCloning:
def __init__(self, state_dim, action_dim, hidden_dim=256):
self.state_dim = state_dim
self.action_dim = action_dim
self.device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')

# Policy network
self.policy = nn.Sequential(
nn.Linear(state_dim, hidden_dim),
nn.ReLU(),
nn.Linear(hidden_dim, hidden_dim),
nn.ReLU(),
nn.Linear(hidden_dim, action_dim)
).to(self.device)

self.optimizer = torch.optim.Adam(self.policy.parameters(), lr=1e-3)

# For continuous actions, use tanh activation
self.action_scale = 1.0

def train(self, states, actions, epochs=100, batch_size=64):
"""Train policy network from demonstrations"""
dataset = torch.utils.data.TensorDataset(
torch.FloatTensor(states),
torch.FloatTensor(actions)
)
dataloader = torch.utils.data.DataLoader(
dataset, batch_size=batch_size, shuffle=True
)

losses = []

for epoch in range(epochs):
epoch_losses = []

for batch_states, batch_actions in dataloader:
batch_states = batch_states.to(self.device)
batch_actions = batch_actions.to(self.device)

self.optimizer.zero_grad()

predicted_actions = self.policy(batch_states)

# Apply tanh for continuous actions
if self.action_dim > 1: # Assume continuous if multi-dimensional
predicted_actions = torch.tanh(predicted_actions) * self.action_scale

loss = F.mse_loss(predicted_actions, batch_actions)
loss.backward()
self.optimizer.step()

epoch_losses.append(loss.item())

avg_loss = np.mean(epoch_losses)
losses.append(avg_loss)

if epoch % 10 == 0:
print(f"Epoch {epoch}, Loss: {avg_loss:.4f}")

return losses

def predict(self, state):
"""Predict action for given state"""
with torch.no_grad():
state_tensor = torch.FloatTensor(state).unsqueeze(0).to(self.device)
action = self.policy(state_tensor)

if self.action_dim > 1: # Continuous actions
action = torch.tanh(action) * self.action_scale

return action.cpu().numpy().squeeze()

3.2 Generative Adversarial Imitation Learning (GAIL)

class Discriminator(nn.Module):
def __init__(self, state_dim, action_dim, hidden_dim=256):
super(Discriminator, self).__init__()

self.network = nn.Sequential(
nn.Linear(state_dim + action_dim, hidden_dim),
nn.LeakyReLU(0.2),
nn.Linear(hidden_dim, hidden_dim),
nn.LeakyReLU(0.2),
nn.Linear(hidden_dim, hidden_dim),
nn.LeakyReLU(0.2),
nn.Linear(hidden_dim, 1),
nn.Sigmoid()
)

def forward(self, state, action):
x = torch.cat([state, action], dim=1)
return self.network(x)

class GAIL:
def __init__(self, state_dim, action_dim, expert demonstrations, lr=3e-4):
self.state_dim = state_dim
self.action_dim = action_dim
self.device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')

# Expert demonstrations
self.expert_states = torch.FloatTensor(demonstrations['states']).to(self.device)
self.expert_actions = torch.FloatTensor(demonstrations['actions']).to(self.device)

# Policy network
self.policy = PPOAgent(state_dim, action_dim).network

# Discriminator
self.discriminator = Discriminator(state_dim, action_dim).to(self.device)
self.discriminator_optimizer = torch.optim.Adam(
self.discriminator.parameters(), lr=lr
)

# Training parameters
self.policy_optimizer = torch.optim.Adam(self.policy.parameters(), lr=lr)
self.epochs = 100
self.policy_updates_per_epoch = 10
self.discriminator_updates_per_epoch = 5

def train_discriminator(self, policy_states, policy_actions):
"""Train discriminator to distinguish expert from policy"""
self.discriminator_optimizer.zero_grad()

# Expert predictions
expert_predictions = self.discriminator(
self.expert_states, self.expert_actions
)

# Policy predictions
policy_predictions = self.discriminator(
policy_states, policy_actions
)

# Discriminator loss
expert_loss = -torch.log(expert_predictions + 1e-8).mean()
policy_loss = -torch.log(1 - policy_predictions + 1e-8).mean()
discriminator_loss = (expert_loss + policy_loss) / 2

discriminator_loss.backward()
self.discriminator_optimizer.step()

return discriminator_loss.item()

def train_policy(self, states, actions):
"""Train policy to fool discriminator"""
self.policy_optimizer.zero_grad()

# Get discriminator predictions for policy actions
discriminator_predictions = self.discriminator(states, actions)

# Policy wants to maximize discriminator confusion
# Equivalent to minimizing negative log probability of being expert
policy_loss = -torch.log(discriminator_predictions + 1e-8).mean()

policy_loss.backward()
self.policy_optimizer.step()

return policy_loss.item()

def collect_policy_trajectories(self, env, num_trajectories):
"""Collect trajectories from current policy"""
policy_states = []
policy_actions = []

for _ in range(num_trajectories):
state = env.reset()
done = False

while not done:
state_tensor = torch.FloatTensor(state).unsqueeze(0).to(self.device)

with torch.no_grad():
action_mean, action_std, _ = self.policy(state_tensor)
dist = torch.distributions.Normal(action_mean, action_std)
action = dist.sample()

policy_states.append(state)
policy_actions.append(action.cpu().numpy().squeeze())

next_state, _, done, _ = env.step(action.cpu().numpy())
state = next_state

return (
torch.FloatTensor(policy_states).to(self.device),
torch.FloatTensor(policy_actions).to(self.device)
)

def train(self, env):
"""Train GAIL"""
print("Starting GAIL training...")

for epoch in range(self.epochs):
# Collect policy trajectories
policy_states, policy_actions = self.collect_policy_trajectories(env, 10)

# Train discriminator
discriminator_losses = []
for _ in range(self.discriminator_updates_per_epoch):
d_loss = self.train_discriminator(policy_states, policy_actions)
discriminator_losses.append(d_loss)

# Train policy
policy_losses = []
for _ in range(self.policy_updates_per_epoch):
p_loss = self.train_policy(policy_states, policy_actions)
policy_losses.append(p_loss)

if epoch % 10 == 0:
avg_d_loss = np.mean(discriminator_losses)
avg_p_loss = np.mean(policy_losses)
print(f"Epoch {epoch}, Discriminator Loss: {avg_d_loss:.4f}, Policy Loss: {avg_p_loss:.4f}")

4. Online Learning and Adaptation

4.1 Continual Learning

class ElasticWeightConsolidation:
def __init__(self, model, importance_weight=1000):
self.model = model
self.importance_weight = importance_weight
self.optim_params = {n: p for n, p in self.model.named_parameters() if p.requires_grad}
self.previous_weights = {}
self.fisher_importance = {}

def compute_fisher_importance(self, dataloader):
"""Compute Fisher information importance weights"""
print("Computing Fisher importance...")

# Initialize importance
self.fisher_importance = {}
for n, p in self.optim_params.items():
self.fisher_importance[n] = torch.zeros_like(p)

# Set model to evaluation mode
self.model.eval()

num_samples = 0
for data in dataloader:
# Get batch data
inputs, labels = data
inputs = inputs.to(self.model.device)
labels = labels.to(self.model.device)

# Forward pass
outputs = self.model(inputs)

# Get log probabilities
log_probs = F.log_softmax(outputs, dim=1)

# Compute Fisher importance for each sample
for i in range(inputs.size(0)):
self.model.zero_grad()
loss = -log_probs[i, labels[i]]
loss.backward(retain_graph=True)

# Accumulate squared gradients
for n, p in self.optim_params.items():
if p.grad is not None:
self.fisher_importance[n] += p.grad.data ** 2

num_samples += inputs.size(0)

# Average importance
for n in self.fisher_importance:
self.fisher_importance[n] /= num_samples

# Store current weights
self.previous_weights = {n: p.clone() for n, p in self.optim_params.items()}

def ewc_loss(self):
"""Compute EWC regularization loss"""
loss = 0
for n, p in self.optim_params.items():
if n in self.fisher_importance:
loss += (self.fisher_importance[n] * (p - self.previous_weights[n]) ** 2).sum()

return self.importance_weight * loss

class ContinualLearner:
def __init__(self, base_model, learning_rate=1e-3):
self.model = base_model
self.ewc = ElasticWeightConsolidation(self.model)
self.optimizer = torch.optim.Adam(self.model.parameters(), lr=learning_rate)
self.task_accuracies = []

def learn_task(self, task_dataloader, num_epochs=50):
"""Learn a new task while preserving previous knowledge"""
# Compute importance for previous task (if not first task)
if len(self.task_accuracies) > 0:
self.ewc.compute_fisher_importance(task_dataloader)

# Train on new task
losses = []
for epoch in range(num_epochs):
epoch_losses = []

for batch_x, batch_y in task_dataloader:
batch_x = batch_x.to(self.model.device)
batch_y = batch_y.to(self.model.device)

self.optimizer.zero_grad()

# Forward pass
outputs = self.model(batch_x)

# Task-specific loss
task_loss = F.cross_entropy(outputs, batch_y)

# EWC regularization (if not first task)
if len(self.task_accuracies) > 0:
ewc_loss = self.ewc.ewc_loss()
total_loss = task_loss + ewc_loss
else:
total_loss = task_loss

# Backward pass
total_loss.backward()
self.optimizer.step()

epoch_losses.append(task_loss.item())

avg_loss = np.mean(epoch_losses)
losses.append(avg_loss)

if epoch % 10 == 0:
print(f"Epoch {epoch}, Task Loss: {avg_loss:.4f}")

# Evaluate on all tasks
self.evaluate_all_tasks()

return losses

def evaluate_all_tasks(self):
"""Evaluate performance on all learned tasks"""
# This would maintain test dataloaders for each task
# Implementation depends on specific task setup
pass

4.2 Meta-Learning (MAML)

class MAML:
def __init__(self, model, inner_lr=0.01, outer_lr=0.001, inner_steps=1):
self.model = model
self.inner_lr = inner_lr
self.outer_lr = outer_lr
self.inner_steps = inner_steps

self.meta_optimizer = torch.optim.Adam(self.model.parameters(), lr=outer_lr)
self.device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')

def inner_update(self, model, support_x, support_y):
"""Perform inner loop update for adaptation"""
# Clone model parameters
temp_model = type(model)(model.input_size, model.hidden_size, model.output_size)
temp_model.load_state_dict(model.state_dict())
temp_model.to(self.device)

# Inner loop updates
for _ in range(self.inner_steps):
# Forward pass
outputs = temp_model(support_x)
loss = F.mse_loss(outputs, support_y)

# Compute gradients
temp_model.zero_grad()
loss.backward()

# Manual gradient descent step
with torch.no_grad():
for param in temp_model.parameters():
if param.grad is not None:
param.data -= self.inner_lr * param.grad.data

return temp_model

def meta_update(self, task_batch):
"""Perform meta-update across multiple tasks"""
meta_loss = 0
meta_accuracy = 0

for task in task_batch:
support_x, support_y, query_x, query_y = task

support_x = support_x.to(self.device)
support_y = support_y.to(self.device)
query_x = query_x.to(self.device)
query_y = query_y.to(self.device)

# Inner adaptation
adapted_model = self.inner_update(self.model, support_x, support_y)

# Evaluate on query set
with torch.no_grad():
query_outputs = adapted_model(query_x)
query_loss = F.mse_loss(query_outputs, query_y)

meta_loss += query_loss

# Compute accuracy for classification tasks
if query_outputs.shape[1] > 1: # Classification
pred_labels = query_outputs.argmax(dim=1)
true_labels = query_y.argmax(dim=1) if query_y.shape[1] > 1 else query_y
accuracy = (pred_labels == true_labels).float().mean()
meta_accuracy += accuracy

# Average over tasks
meta_loss /= len(task_batch)
meta_accuracy /= len(task_batch)

# Meta-optimization step
self.meta_optimizer.zero_grad()
meta_loss.backward()
self.meta_optimizer.step()

return meta_loss.item(), meta_accuracy.item()

def train(self, task_generator, num_epochs=1000, tasks_per_batch=5):
"""Train MAML model"""
losses = []
accuracies = []

for epoch in range(num_epochs):
# Sample batch of tasks
task_batch = [task_generator.sample_task() for _ in range(tasks_per_batch)]

# Meta-update
loss, accuracy = self.meta_update(task_batch)

losses.append(loss)
accuracies.append(accuracy)

if epoch % 100 == 0:
print(f"Epoch {epoch}, Meta Loss: {loss:.4f}, Meta Accuracy: {accuracy:.4f}")

return losses, accuracies

def adapt(self, model, support_data, num_steps=10):
"""Adapt model to new task"""
adapted_model = self.inner_update(model, support_data[0], support_data[1])
return adapted_model

5. Sim-to-Real Transfer

5.1 Domain Randomization

class DomainRandomizer:
def __init__(self):
self.randomization_params = {
'camera_position': {'mean': 0, 'std': 0.1},
'lighting': {'min': 0.3, 'max': 1.0},
'object_color': {'min': 0, 'max': 1},
'background_color': {'min': 0, 'max': 1},
'noise_level': {'min': 0, 'max': 0.1},
'object_scale': {'min': 0.8, 'max': 1.2},
'object_rotation': {'min': 0, 'max': 360}
}

def randomize_camera(self, scene):
"""Randomize camera parameters"""
# Random position offset
position_noise = np.random.normal(
self.randomization_params['camera_position']['mean'],
self.randomization_params['camera_position']['std'],
3
)

# Apply to camera
scene.camera.position += position_noise

return scene

def randomize_lighting(self, scene):
"""Randomize lighting conditions"""
lighting_intensity = np.random.uniform(
self.randomization_params['lighting']['min'],
self.randomization_params['lighting']['max']
)

# Apply to all light sources
for light in scene.lights:
light.intensity = lighting_intensity

return scene

def randomize_object_properties(self, scene):
"""Randomize object visual properties"""
for obj in scene.objects:
# Random color
color = np.random.uniform(
self.randomization_params['object_color']['min'],
self.randomization_params['object_color']['max'],
3
)
obj.color = color

# Random scale
scale = np.random.uniform(
self.randomization_params['object_scale']['min'],
self.randomization_params['object_scale']['max']
)
obj.scale = scale

# Random rotation
rotation = np.random.uniform(
self.randomization_params['object_rotation']['min'],
self.randomization_params['object_rotation']['max']
)
obj.rotation = rotation

return scene

def randomize_background(self, scene):
"""Randomize background"""
bg_color = np.random.uniform(
self.randomization_params['background_color']['min'],
self.randomization_params['background_color']['max'],
3
)
scene.background_color = bg_color

return scene

def add_noise(self, image):
"""Add sensor noise to image"""
noise_level = np.random.uniform(
self.randomization_params['noise_level']['min'],
self.randomization_params['noise_level']['max']
)

# Add Gaussian noise
noise = np.random.normal(0, noise_level * 255, image.shape)
noisy_image = image + noise
noisy_image = np.clip(noisy_image, 0, 255).astype(np.uint8)

return noisy_image

def randomize_scene(self, scene):
"""Apply all randomizations to scene"""
scene = self.randomize_camera(scene)
scene = self.randomize_lighting(scene)
scene = self.randomize_object_properties(scene)
scene = self.randomize_background(scene)

return scene

5.2 System Identification for Transfer

class SystemIdentifier:
def __init__(self, state_dim, action_dim):
self.state_dim = state_dim
self.action_dim = action_dim
self.device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')

# Dynamics model
self.dynamics_model = nn.Sequential(
nn.Linear(state_dim + action_dim, 256),
nn.ReLU(),
nn.Linear(256, 256),
nn.ReLU(),
nn.Linear(256, state_dim)
).to(self.device)

self.dynamics_optimizer = torch.optim.Adam(
self.dynamics_model.parameters(), lr=1e-3
)

def collect_data(self, env, num_samples=10000):
"""Collect data from real system"""
states = []
actions = []
next_states = []

state = env.reset()

for _ in range(num_samples):
# Random action for exploration
action = env.action_space.sample()

next_state, _, done, _ = env.step(action)

states.append(state)
actions.append(action)
next_states.append(next_state)

state = next_state

if done:
state = env.reset()

return (
np.array(states),
np.array(actions),
np.array(next_states)
)

def train_dynamics_model(self, states, actions, next_states, epochs=100):
"""Train dynamics model on collected data"""
dataset = torch.utils.data.TensorDataset(
torch.FloatTensor(np.concatenate([states, actions], axis=1)),
torch.FloatTensor(next_states)
)
dataloader = torch.utils.data.DataLoader(
dataset, batch_size=256, shuffle=True
)

losses = []

for epoch in range(epochs):
epoch_losses = []

for batch_input, batch_target in dataloader:
batch_input = batch_input.to(self.device)
batch_target = batch_target.to(self.device)

self.dynamics_optimizer.zero_grad()

predicted_next_state = self.dynamics_model(batch_input)
loss = F.mse_loss(predicted_next_state, batch_target)

loss.backward()
self.dynamics_optimizer.step()

epoch_losses.append(loss.item())

avg_loss = np.mean(epoch_losses)
losses.append(avg_loss)

if epoch % 10 == 0:
print(f"Epoch {epoch}, Dynamics Loss: {avg_loss:.4f}")

return losses

def predict_next_state(self, state, action):
"""Predict next state using learned dynamics"""
with torch.no_grad():
input_tensor = torch.FloatTensor(
np.concatenate([state, action])
).unsqueeze(0).to(self.device)

predicted_next_state = self.dynamics_model(input_tensor)

return predicted_next_state.cpu().numpy().squeeze()

def transfer_policy(self, sim_policy, sim_env, real_env, num_episodes=100):
"""Transfer policy from simulation to real world using system identification"""
# Collect real-world data
print("Collecting real-world data...")
real_states, real_actions, real_next_states = self.collect_data(
real_env, num_samples=1000
)

# Train dynamics model
print("Training dynamics model...")
self.train_dynamics_model(real_states, real_actions, real_next_states)

# Fine-tune policy using system identification
print("Fine-tuning policy...")
self.fine_tune_policy(sim_policy, sim_env, real_env, num_episodes)

return sim_policy

def fine_tune_policy(self, policy, sim_env, real_env, num_episodes):
"""Fine-tune policy using learned dynamics"""
policy_optimizer = torch.optim.Adam(policy.parameters(), lr=1e-4)

for episode in range(num_episodes):
state = real_env.reset()
episode_reward = 0

for t in range(1000): # Max episode length
# Get action from policy
with torch.no_grad():
state_tensor = torch.FloatTensor(state).unsqueeze(0).to(self.device)
action = policy(state_tensor).cpu().numpy().squeeze()

# Simulate using learned dynamics
simulated_next_state = self.predict_next_state(state, action)

# Actually step in real environment
real_next_state, reward, done, _ = real_env.step(action)

# Compute dynamics prediction error
dynamics_error = np.mean((real_next_state - simulated_next_state) ** 2)

# Policy loss includes dynamics accuracy
policy_optimizer.zero_grad()

# Recompute action with gradients
action_tensor = policy(state_tensor)
simulated_next = self.dynamics_model(
torch.cat([state_tensor, action_tensor], dim=1)
)

# Loss: maximize predicted reward + minimize dynamics error
target_tensor = torch.FloatTensor(real_next_state).unsqueeze(0).to(self.device)
dynamics_loss = F.mse_loss(simulated_next, target_tensor)

# Inverse dynamics: use real next state to update action
action_loss = -reward + dynamics_error

action_loss.backward()
policy_optimizer.step()

episode_reward += reward
state = real_next_state

if done:
break

if episode % 10 == 0:
print(f"Episode {episode}, Reward: {episode_reward:.2f}")

6. Safe Learning for Robotics

6.1 Constrained Reinforcement Learning

class SafeRLAgent:
def __init__(self, state_dim, action_dim, constraint_dim):
self.state_dim = state_dim
self.action_dim = action_dim
self.constraint_dim = constraint_dim
self.device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')

# Policy network
self.policy = nn.Sequential(
nn.Linear(state_dim, 256),
nn.ReLU(),
nn.Linear(256, 256),
nn.ReLU(),
nn.Linear(256, action_dim)
).to(self.device)

# Q-function networks
self.q1 = nn.Sequential(
nn.Linear(state_dim + action_dim, 256),
nn.ReLU(),
nn.Linear(256, 256),
nn.ReLU(),
nn.Linear(256, 1)
).to(self.device)

self.q2 = nn.Sequential(
nn.Linear(state_dim + action_dim, 256),
nn.ReLU(),
nn.Linear(256, 256),
nn.ReLU(),
nn.Linear(256, 1)
).to(self.device)

# Constraint cost networks
self.cost1 = nn.Sequential(
nn.Linear(state_dim + action_dim, 256),
nn.ReLU(),
nn.Linear(256, 256),
nn.ReLU(),
nn.Linear(256, constraint_dim)
).to(self.device)

self.cost2 = nn.Sequential(
nn.Linear(state_dim + action_dim, 256),
nn.ReLU(),
nn.Linear(256, 256),
nn.ReLU(),
nn.Linear(256, constraint_dim)
).to(self.device)

# Optimizers
self.policy_optimizer = torch.optim.Adam(self.policy.parameters(), lr=3e-4)
self.q_optimizer = torch.optim.Adam(
list(self.q1.parameters()) + list(self.q2.parameters()),
lr=3e-4
)
self.cost_optimizer = torch.optim.Adam(
list(self.cost1.parameters()) + list(self.cost2.parameters()),
lr=3e-4
)

# Lagrange multipliers for constraints
self.lagrange_multipliers = torch.zeros(constraint_dim, requires_grad=True).to(self.device)
self.lambda_optimizer = torch.optim.Adam([self.lagrange_multipliers], lr=1e-2)

# Replay buffers
self.replay_buffer = ReplayBuffer(100000)
self.constraint_buffer = ReplayBuffer(100000)

def select_action(self, state, training=True):
"""Select action using current policy"""
state_tensor = torch.FloatTensor(state).unsqueeze(0).to(self.device)

with torch.no_grad():
action = self.policy(state_tensor)

if training:
# Add exploration noise
noise = torch.randn_like(action) * 0.1
action = torch.clamp(action + noise, -1, 1)

return action.cpu().numpy().squeeze()

def update_q_functions(self, batch_size=256):
"""Update Q-functions"""
if len(self.replay_buffer) < batch_size:
return

states, actions, rewards, next_states, dones = self.replay_buffer.sample(batch_size)

states = torch.FloatTensor(states).to(self.device)
actions = torch.FloatTensor(actions).to(self.device)
rewards = torch.FloatTensor(rewards).to(self.device)
next_states = torch.FloatTensor(next_states).to(self.device)
dones = torch.BoolTensor(dones).to(self.device)

with torch.no_grad():
next_actions = self.policy(next_states)

# Target Q-values
target_q1 = self.q1(torch.cat([next_states, next_actions], dim=1))
target_q2 = self.q2(torch.cat([next_states, next_actions], dim=1))
target_q = torch.min(target_q1, target_q2)
target_q = rewards + (1.0 - dones.float()) * 0.99 * target_q

# Current Q-values
current_q1 = self.q1(torch.cat([states, actions], dim=1))
current_q2 = self.q2(torch.cat([states, actions], dim=1))

# Q-losses
q1_loss = F.mse_loss(current_q1, target_q)
q2_loss = F.mse_loss(current_q2, target_q)
q_loss = q1_loss + q2_loss

# Optimize Q-functions
self.q_optimizer.zero_grad()
q_loss.backward()
self.q_optimizer.step()

def update_cost_functions(self, batch_size=256):
"""Update constraint cost functions"""
if len(self.constraint_buffer) < batch_size:
return

states, actions, costs, next_states, dones = self.constraint_buffer.sample(batch_size)

states = torch.FloatTensor(states).to(self.device)
actions = torch.FloatTensor(actions).to(self.device)
costs = torch.FloatTensor(costs).to(self.device)
next_states = torch.FloatTensor(next_states).to(self.device)
dones = torch.BoolTensor(dones).to(self.device)

with torch.no_grad():
next_actions = self.policy(next_states)

# Target costs
target_cost1 = self.cost1(torch.cat([next_states, next_actions], dim=1))
target_cost2 = self.cost2(torch.cat([next_states, next_actions], dim=1))
target_cost = torch.min(target_cost1, target_cost2)
target_cost = costs + (1.0 - dones.float()) * 0.99 * target_cost

# Current costs
current_cost1 = self.cost1(torch.cat([states, actions], dim=1))
current_cost2 = self.cost2(torch.cat([states, actions], dim=1))

# Cost losses
cost1_loss = F.mse_loss(current_cost1, target_cost)
cost2_loss = F.mse_loss(current_cost2, target_cost)
cost_loss = cost1_loss + cost2_loss

# Optimize cost functions
self.cost_optimizer.zero_grad()
cost_loss.backward()
self.cost_optimizer.step()

def update_policy(self, batch_size=256):
"""Update policy with safety constraints"""
if len(self.replay_buffer) < batch_size:
return

states, _, _, _, _ = self.replay_buffer.sample(batch_size)
states = torch.FloatTensor(states).to(self.device)

actions = self.policy(states)

# Policy objective: maximize Q-value while minimizing constraint violation
q_values = self.q1(torch.cat([states, actions], dim=1))
constraint_costs = self.cost1(torch.cat([states, actions], dim=1))

# Lagrangian: maximize Q - λ * cost
lagrangian = q_values - torch.sum(self.lagrange_multipliers.unsqueeze(0) * constraint_costs, dim=1)

policy_loss = -lagrangian.mean()

# Optimize policy
self.policy_optimizer.zero_grad()
policy_loss.backward()
self.policy_optimizer.step()

def update_lagrange_multipliers(self, batch_size=256):
"""Update Lagrange multipliers for constraints"""
if len(self.constraint_buffer) < batch_size:
return

states, actions, costs, _, _ = self.constraint_buffer.sample(batch_size)
states = torch.FloatTensor(states).to(self.device)
actions = torch.FloatTensor(actions).to(self.device)

with torch.no_grad():
actions = self.policy(states)
constraint_costs = self.cost1(torch.cat([states, actions], dim=1))

# Update multipliers: increase if constraint violated, decrease otherwise
# Constraints: expected cost ≤ threshold
threshold = 0.1 # Example threshold

for i in range(self.constraint_dim):
constraint_violation = torch.mean(constraint_costs[:, i]) - threshold
gradient = constraint_violation
self.lagrange_multipliers[i].data += 0.01 * gradient
self.lagrange_multipliers[i].data = torch.clamp(
self.lagrange_multipliers[i].data, min=0
)

def train_step(self, state, action, reward, next_state, done, constraint_cost):
"""Perform one training step"""
# Store experiences
self.replay_buffer.push(state, action, reward, next_state, done)
self.constraint_buffer.push(state, action, constraint_cost, next_state, done)

# Update networks
self.update_q_functions()
self.update_cost_functions()
self.update_policy()
self.update_lagrange_multipliers()

7. Complete Learning System Integration

7.1 Unified Learning Framework

class UnifiedLearningFramework:
def __init__(self, robot_config):
self.config = robot_config
self.device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')

# Initialize learning modules
self.perception_module = MultimodalPerceptionNet(
vision_input_size=robot_config['vision_dim'],
tactile_input_size=robot_config['tactile_dim'],
proprioception_input_size=robot_config['proprioception_dim'],
output_size=robot_config['perception_output_dim']
)

self.control_module = PPOAgent(
state_size=robot_config['state_dim'],
action_size=robot_config['action_dim'],
continuous=robot_config['continuous_actions']
)

self.adaptation_module = ContinualLearner(self.perception_module)

# Safety module
self.safety_module = SafeRLAgent(
state_dim=robot_config['state_dim'],
action_dim=robot_config['action_dim'],
constraint_dim=robot_config['constraint_dim']
)

# Experience storage
self.experience_buffer = []
self.task_history = []

# Meta-learning
self.meta_learner = MAML(self.perception_module)

def collect_experience(self, env, num_episodes=10):
"""Collect experience from robot interaction"""
print(f"\n=== Collecting Experience ({num_episodes} episodes) ===")

for episode in range(num_episodes):
state = env.reset()
episode_experience = []

for step in range(1000): # Max episode length
# Get perception
vision = env.get_vision()
tactile = env.get_tactile()
proprioception = env.get_proprioception()

# Process perception
with torch.no_grad():
processed_state = self.perception_module(
torch.FloatTensor(vision).unsqueeze(0).to(self.device),
torch.FloatTensor(tactile).unsqueeze(0).to(self.device),
torch.FloatTensor(proprioception).unsqueeze(0).to(self.device)
).squeeze().cpu().numpy()

# Select safe action
action = self.safety_module.select_action(processed_state)

# Execute action
next_state, reward, done, info = env.step(action)
constraint_cost = info.get('constraint_cost', 0)

# Store experience
experience = {
'state': processed_state,
'action': action,
'reward': reward,
'next_state': next_state,
'done': done,
'constraint_cost': constraint_cost,
'vision': vision,
'tactile': tactile,
'proprioception': proprioception
}
episode_experience.append(experience)

state = next_state

if done:
break

self.experience_buffer.append(episode_experience)

if (episode + 1) % 5 == 0:
avg_reward = np.mean([sum(exp['reward'] for exp in ep) for ep in self.experience_buffer[-5:]])
print(f"Episode {episode + 1}, Avg Reward (last 5): {avg_reward:.2f}")

def learn_from_experience(self):
"""Learn from collected experience"""
print("\n=== Learning from Experience ===")

# Prepare training data
all_states = []
all_actions = []
all_rewards = []
all_next_states = []
all_dones = []
all_constraint_costs = []

for episode in self.experience_buffer:
for exp in episode:
all_states.append(exp['state'])
all_actions.append(exp['action'])
all_rewards.append(exp['reward'])
all_next_states.append(exp['next_state'])
all_dones.append(exp['done'])
all_constraint_costs.append(exp['constraint_cost'])

# Update safety module
for state, action, reward, next_state, done, cost in zip(
all_states, all_actions, all_rewards, all_next_states, all_dones, all_constraint_costs
):
self.safety_module.train_step(state, action, reward, next_state, done, cost)

print(f"Updated safety module with {len(all_states)} transitions")

def adapt_to_new_task(self, task_data):
"""Adapt to new task using meta-learning"""
print("\n=== Adapting to New Task ===")

# Use meta-learning to quickly adapt
adapted_model = self.meta_learner.adapt(
self.perception_module,
task_data,
num_steps=10
)

# Update perception module
self.perception_module.load_state_dict(adapted_model.state_dict())

# Store task for continual learning
self.task_history.append(task_data)

print("Successfully adapted to new task")

def evaluate_performance(self, env, num_episodes=5):
"""Evaluate current performance"""
print(f"\n=== Evaluating Performance ({num_episodes} episodes) ===")

total_rewards = []
total_constraint_violations = []

for episode in range(num_episodes):
state = env.reset()
episode_reward = 0
episode_violations = 0

for step in range(1000):
# Get perception
vision = env.get_vision()
tactile = env.get_tactile()
proprioception = env.get_proprioception()

# Process perception
with torch.no_grad():
processed_state = self.perception_module(
torch.FloatTensor(vision).unsqueeze(0).to(self.device),
torch.FloatTensor(tactile).unsqueeze(0).to(self.device),
torch.FloatTensor(proprioception).unsqueeze(0).to(self.device)
).squeeze().cpu().numpy()

# Select action
action = self.safety_module.select_action(processed_state, training=False)

# Execute action
next_state, reward, done, info = env.step(action)
constraint_cost = info.get('constraint_cost', 0)

episode_reward += reward
if constraint_cost > 0:
episode_violations += 1

state = next_state

if done:
break

total_rewards.append(episode_reward)
total_constraint_violations.append(episode_violations)

avg_reward = np.mean(total_rewards)
avg_violations = np.mean(total_constraint_violations)

print(f"Average Reward: {avg_reward:.2f}")
print(f"Average Constraint Violations: {avg_violations:.2f}")

return avg_reward, avg_violations

def run_training_loop(self, env, num_iterations=100):
"""Run complete training loop"""
print("\n=== Starting Training Loop ===")

performance_history = []

for iteration in range(num_iterations):
print(f"\n--- Iteration {iteration + 1}/{num_iterations} ---")

# Collect experience
self.collect_experience(env, num_episodes=5)

# Learn from experience
self.learn_from_experience()

# Evaluate performance
avg_reward, avg_violations = self.evaluate_performance(env, num_episodes=3)

performance_history.append({
'iteration': iteration + 1,
'avg_reward': avg_reward,
'avg_violations': avg_violations
})

# Adapt if performance degrades
if iteration > 0 and performance_history[-2]['avg_reward'] > avg_reward:
print("Performance degraded, triggering adaptation...")
# Use recent experience for adaptation
recent_task = self.experience_buffer[-1]
self.adapt_to_new_task(recent_task)

print("\n=== Training Complete ===")
return performance_history

def visualize_learning_progress(self, performance_history):
"""Visualize learning progress"""
plt.figure(figsize=(12, 5))

iterations = [h['iteration'] for h in performance_history]
rewards = [h['avg_reward'] for h in performance_history]
violations = [h['avg_violations'] for h in performance_history]

plt.subplot(1, 2, 1)
plt.plot(iterations, rewards, 'b-', linewidth=2)
plt.xlabel('Iteration')
plt.ylabel('Average Reward')
plt.title('Learning Progress - Rewards')
plt.grid(True)

plt.subplot(1, 2, 2)
plt.plot(iterations, violations, 'r-', linewidth=2)
plt.xlabel('Iteration')
plt.ylabel('Average Constraint Violations')
plt.title('Learning Progress - Safety')
plt.grid(True)

plt.tight_layout()
plt.show()

# Example usage
if __name__ == "__main__":
# Robot configuration
robot_config = {
'vision_dim': 224 * 224 * 3,
'tactile_dim': 16,
'proprioception_dim': 12,
'perception_output_dim': 64,
'state_dim': 64,
'action_dim': 7,
'continuous_actions': True,
'constraint_dim': 3
}

# Create learning framework
learning_framework = UnifiedLearningFramework(robot_config)

# Initialize environment (placeholder)
# env = HumanoidEnvironment()

# Run training
# performance_history = learning_framework.run_training_loop(env, num_iterations=50)

# Visualize results
# learning_framework.visualize_learning_progress(performance_history)

print("Unified Learning Framework initialized successfully!")

Conclusion

This chapter provided a comprehensive overview of machine learning techniques for humanoid robots, covering:

  1. Supervised Learning: For perception tasks and sensor processing
  2. Reinforcement Learning: For acquiring complex motor skills
  3. Imitation Learning: Learning from human demonstrations
  4. Online Learning: Adapting to new situations in real-time
  5. Sim-to-Real Transfer: Bridging the reality gap
  6. Safe Learning: Ensuring safety during learning process

The integration of these learning approaches enables humanoid robots to acquire, adapt, and improve their skills through interaction with the environment. As learning algorithms continue to advance, we can expect humanoid robots to become increasingly capable of operating in complex, unstructured environments.

Key Takeaways

  • Multi-Modal Learning: Combining different sensor modalities improves robustness
  • Safety First: Learning must respect safety constraints at all times
  • Sample Efficiency: Real-world learning requires data-efficient methods
  • Continual Adaptation: Robots must continuously learn without forgetting
  • Simulation Benefits: Simulation enables safe and efficient learning
  • Real-World Challenges: Noise, delays, and partial observability must be addressed

Previous: Chapter 12 - Computer Vision for Humanoids | Next: Chapter 14 - Human-Robot Interaction