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simoprl/preference_elicitation.py
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| 1 |
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"""
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+
Three preference elicitation strategies from the Sim-OPRL paper.
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+
UniformOPRL β random pairs from offline dataset (naΓ―ve baseline)
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UncertaintyOPRL β pairs where the reward model is most uncertain (active baseline)
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SimOPRL β simulate new trajectories with the dynamics model;
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optimistic on reward uncertainty, pessimistic on
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transition uncertainty (the paper's contribution)
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"""
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import random
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import numpy as np
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from .reward_model import EnsembleRewardModel
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from .dynamics_model import EnsembleDynamicsModel
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# CartPole termination thresholds (from gymnasium source)
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_X_THRESH = 2.4
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_THETA_THRESH = 12 * np.pi / 180 # 0.2094 rad
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def _cartpole_quality(trajectory: list) -> int:
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"""
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Physics-based quality for a CartPole trajectory (real or simulated).
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Returns the number of steps the pole stays within CartPole's valid bounds.
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This is the TRUE reward for CartPole (1 per surviving step), correctly
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evaluated even for simulated trajectories whose length is always `horizon`.
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Using len(traj) would give identical scores for all simulated trajectories
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because they are all rolled out to the same fixed horizon β making oracle
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labels meaningless. This function fixes that.
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"""
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count = 0
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for s, a in trajectory:
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x, _, theta, _ = s
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if abs(x) > _X_THRESH or abs(theta) > _THETA_THRESH:
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break
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count += 1
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return count
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def oracle_preference(traj1: list, traj2: list, stochastic: bool = False) -> int:
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"""
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Simulated oracle using true CartPole physics to label preferences.
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label = 0 β traj1 preferred
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label = 1 β traj2 preferred
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"""
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r1 = _cartpole_quality(traj1)
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r2 = _cartpole_quality(traj2)
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if r1 == r2:
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return random.randint(0, 1)
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if stochastic:
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p = 1.0 / (1.0 + np.exp(-(r1 - r2)))
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return 0 if np.random.random() < p else 1
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return 0 if r1 > r2 else 1
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# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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+
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class UniformOPRL:
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"""Randomly sample trajectory pairs from the offline dataset."""
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def __init__(self, dataset: list):
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self.trajectories = [[(s, a) for s, a, ns in traj] for traj in dataset]
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+
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def get_query_pair(self, reward_model=None, policy_fn=None):
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idx1, idx2 = random.sample(range(len(self.trajectories)), 2)
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return self.trajectories[idx1], self.trajectories[idx2]
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# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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+
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class UncertaintyOPRL:
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"""
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Sample from offline dataset; prioritise pairs with high reward-model
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uncertainty (disagreement across ensemble members).
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"""
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def __init__(self, dataset: list, n_candidates: int = 64):
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self.trajectories = [[(s, a) for s, a, ns in traj] for traj in dataset]
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self.n_candidates = n_candidates
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def get_query_pair(self, reward_model, policy_fn=None):
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candidates = random.sample(self.trajectories,
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min(self.n_candidates, len(self.trajectories)))
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uncs = np.array([reward_model.predict_return(t)[1] for t in candidates])
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top2 = np.argsort(uncs)[-2:]
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return candidates[top2[0]], candidates[top2[1]]
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# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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+
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class SimOPRL:
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"""
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Core contribution of the paper.
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Instead of querying the offline dataset directly, the agent:
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1. Samples starting states from the offline dataset (preferring upright pole
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angles so simulated trajectories are long enough to differentiate).
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2. Simulates new trajectories using the learned dynamics model, using a
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mix of the current policy and random actions for diversity.
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3. Scores each trajectory by:
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score = reward_uncertainty β Ξ» Β· transition_uncertainty
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reward_uncertainty (optimistic) β query where we learn the most
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transition_uncertainty (pessimistic) β avoid OOD regions
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The pair with the highest score is the most informative query to label.
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"""
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def __init__(
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self,
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dataset: list,
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dynamics_model: EnsembleDynamicsModel,
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horizon: int = 40,
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n_simulated: int = 50,
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lambda_: float = 0.5,
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epsilon: float = 0.3, # exploration in simulated rollouts
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):
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self.dynamics_model = dynamics_model
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self.horizon = horizon
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self.n_simulated = n_simulated
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self.lambda_ = lambda_
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self.epsilon = epsilon
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| 127 |
+
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| 128 |
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# Prefer near-upright starting states: they produce longer, more
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| 129 |
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# informative trajectories. Using near-failure states means simulated
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| 130 |
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# trajectories all score 0 and the oracle can't distinguish them.
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+
all_states = [s.copy() for traj in dataset for s, a, ns in traj]
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| 132 |
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upright = [s for s in all_states if abs(s[2]) < _THETA_THRESH * 0.7]
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| 133 |
+
self.start_states = upright if len(upright) > 20 else all_states
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| 134 |
+
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| 135 |
+
def _simulate_trajectory(self, start_state, policy_fn):
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| 136 |
+
"""
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| 137 |
+
Roll out one trajectory from start_state using the dynamics model.
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| 138 |
+
Actions are chosen by policy_fn with epsilon-greedy exploration.
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| 139 |
+
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| 140 |
+
Returns (trajectory, avg_transition_uncertainty).
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| 141 |
+
"""
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| 142 |
+
state = start_state.copy()
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| 143 |
+
trajectory = []
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| 144 |
+
total_trans_unc = 0.0
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| 145 |
+
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| 146 |
+
for _ in range(self.horizon):
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+
# Epsilon-greedy: explore with random actions for diversity
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| 148 |
+
if np.random.random() < self.epsilon:
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| 149 |
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action = np.random.randint(2)
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| 150 |
+
else:
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+
action = int(policy_fn(state))
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+
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+
next_state, trans_unc = self.dynamics_model.predict(state, action)
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trajectory.append((state.copy(), action))
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total_trans_unc += trans_unc
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state = next_state
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| 157 |
+
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| 158 |
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# Early stop if predicted state is clearly out of CartPole bounds
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| 159 |
+
# (avoids accumulating dynamics errors past the point of no return)
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| 160 |
+
if abs(state[0]) > _X_THRESH * 1.5 or abs(state[2]) > _THETA_THRESH * 2:
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+
break
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| 162 |
+
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| 163 |
+
avg_trans_unc = total_trans_unc / max(len(trajectory), 1)
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return trajectory, avg_trans_unc
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| 165 |
+
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| 166 |
+
def get_query_pair(self, reward_model, policy_fn):
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| 167 |
+
"""
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| 168 |
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Generate n_simulated candidate trajectories and return the best pair.
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| 169 |
+
"""
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| 170 |
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candidates = []
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| 171 |
+
for _ in range(self.n_simulated):
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| 172 |
+
start = random.choice(self.start_states)
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| 173 |
+
traj, trans_unc = self._simulate_trajectory(start, policy_fn)
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| 174 |
+
_, reward_unc = reward_model.predict_return(traj)
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| 175 |
+
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| 176 |
+
# Sim-OPRL acquisition score
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score = reward_unc - self.lambda_ * trans_unc
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| 178 |
+
candidates.append((traj, score))
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| 179 |
+
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| 180 |
+
candidates.sort(key=lambda x: x[1], reverse=True)
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| 181 |
+
return candidates[0][0], candidates[1][0]
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