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Model: deepseek-reasoner
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Messages: 23
UserStep 0

Task: safe-rl

Safe RL: Constraint-Handling Mechanism Design

Objective

Design a constraint-handling mechanism for safe reinforcement learning. Your code goes in custom_lag.py, a subclass of PPO registered as CustomLag. Reference implementations (PPOLag using Lagrange multiplier, CPPOPID using PID controller) are provided as read-only.

Background

Safe RL aims to maximize reward while satisfying safety constraints (keeping episode cost below a limit). The key challenge is how to adaptively balance reward and cost: the Lagrangian approach converts the constrained problem to an unconstrained dual problem via a multiplier lambda, while PID methods use control theory for more responsive constraint satisfaction. You must design: (1) a multiplier update rule in _update(), and (2) an advantage combination formula in _compute_adv_surrogate().

Evaluation

Evaluated on 3 Safety-Gymnasium environments to test generalization:

  • SafetyPointGoal1-v0: point robot navigating to goals while avoiding hazards
  • SafetyCarGoal1-v0: car robot (non-holonomic) navigating to goals while avoiding hazards
  • SafetyPointButton1-v0: point robot pressing goal buttons while avoiding hazards

Metrics: episode reward (higher is better) and episode cost (lower is better, target <= 25.0). Each environment trains for 2M steps.

Baselines

  • naive: no constraint handling (pure PPO, ignores cost)
  • ppo_lag: Lagrangian multiplier updated via Adam optimizer
  • pid_lag: PID controller for multiplier update

omnisafe/omnisafe/algorithms/on_policy/naive_lagrange/custom_lag.py [EDITABLE — lines 20–20, lines 48–70 only]

     1: """Custom Lagrangian-based safe PPO for MLS-Bench.
     2: 
     3: EDITABLE section: imports + constraint handling methods.
     4: FIXED sections: algorithm registration, learn() with metrics reporting.
     5: """
     6: 
     7: from __future__ import annotations
     8: 
     9: import time
    10: 
    11: import numpy as np
    12: import torch
    13: 
    14: from omnisafe.algorithms import registry
    15: from omnisafe.algorithms.on_policy.base.ppo import PPO
    16: 
    17: # ===================================================================
    18: # EDITABLE: Custom imports
    19: # ===================================================================
    20: 
    21: 
    22: # ===================================================================
    23: # FIXED: Algorithm class definition
    24: # ===================================================================
    25: @registry.register
    26: class CustomLag(PPO):
    27:     """Custom Lagrangian-based safe RL algorithm.
    28: 
    29:     Extends PPO with constraint handling for safe reinforcement learning.
    30:     The agent must design:
    31:       1. _init: Initialize constraint handler state (call super()._init() first)
    32:       2. _init_log: Register logging keys (call super()._init_log() first)
    33:       3. _upda
AssistantStep 1edit
Tool Input
1{
2  "op": "replace",
3  "filename": "omnisafe/omnisafe/algorithms/on_policy/naive_lagrange/custom_lag.py",
4  "start_line": 20,
5  "end_line": 20,
6  "content": "import math"
7}
Tool ResultStep 1
OK: Replaced lines 20..20 with 1 line(s) in omnisafe/omnisafe/algorithms/on_policy/naive_lagrange/custom_lag.py. Editable range: 20–20, 48–70.

[Current file: omnisafe/omnisafe/algorithms/on_policy/naive_lagrange/custom_lag.py | editable: 20–20, 48–70 | total: 149 lines]
    20  import math
...
    48      def _init(self) -> None:
    49          super()._init()
    50          self._cost_limit: float = self._cfgs.lagrange_cfgs.cost_limit
       ... (17 more lines) ...
    68          Agent should incorporate self._lagrangian_multiplier to penalize cost.
    69          """
    70          return adv_r
AssistantStep 2edit
Tool Input
1{
2  "op": "replace",
3  "filename": "omnisafe/omnisafe/algorithms/on_policy/naive_lagrange/custom_lag.py",
4  "start_line": 48,
5  "end_line": 70,
6  "content": "    def _init(self) -> None:\n        super()._init()\n        self._cost_limit: float = self._cfgs.lagrange_cfgs.cost_limit\n        # Adaptive Lagrangian parameters\n        self._lagrangian_multiplier: float = 0.0\n        self._ema_delta: float = 0.0  # exponential moving average of constraint violation\n        self._ema_beta: float = 0.9  # smoothing factor\n        self._lambda_lr: float = self._cfgs.lagrange_cfgs.lambda_lr  # base learning rate\n        self._adaptive_lr: float = self._lambda_lr  # current adaptive learning rate\n        self._lr_scale: float = 1.2  # multiplicative factor for adapting learning rate\n        self._lr_decay: float = 0.99  # decay factor for learning rate\n        self._violation_threshold: float = 5.0  # threshold for adjusting learning rate\n        self._temperature: float = 1.0  # temperature for tanh scaling of cost advantage\n\n    def _init_log(self) -> None:\n        super()._init_log()\n        self._logger.register_key('Metrics/LagrangeMultiplier', min_and_max=True)\n        self._logger.register_key('Metrics/EMADelta', min_and_max=True)\n        self._logger.register_key('Metrics/AdaptiveLR', min_and_max=True)\n\n    def _update(self) -> None:\n        Jc = self._logger.get_stats('Metrics/EpCost')[0]\n        assert not np.isnan(Jc), 'cost is nan'\n        # Compute constraint violation\n        delta = Jc - self._cost_limit\n        # Update exponential moving average\n        self._ema_delta = self._ema_beta * self._ema_delta + (1.0 - self._ema_beta) * delta\n        # Adapt learning rate based on violation magnitude\n        if abs(self._ema_delta) > self._violation_threshold:\n            # Increase learning rate when violation is large\n            self._adaptive_lr *= self._lr_scale\n        else:\n            # Decay learning rate when violation is small\n            self._adaptive_lr *= self._lr_decay\n        # Clip learning rate to reasonable range\n        self._adaptive_lr = np.clip(self._adaptive_lr, 1e-5, 0.1)\n        # Update Lagrangian multiplier\n        self._lagrangian_multiplier = max(0.0, self._lagrangian_multiplier + self._adaptive_lr * self._ema_delta)\n        # Log metrics\n        self._logger.store({\n            'Metrics/LagrangeMultiplier': self._lagrangian_multiplier,\n            'Metrics/EMADelta': self._ema_delta,\n            'Metrics/AdaptiveLR': self._adaptive_lr,\n        })\n        super()._update()\n\n    def _compute_adv_surrogate(self, adv_r: torch.Tensor, adv_c: torch.Tensor) -> torch.Tensor:\n        \"\"\"Combine reward and cost advantages with smooth penalty.\"\"\"\n        penalty = self._lagrangian_multiplier\n        # Scale cost advantage with tanh to prevent extreme gradients\n        scaled_adv_c = torch.tanh(adv_c / self._temperature) * adv_c\n        # Combined advantage: reward - penalty * scaled cost\n        combined = adv_r - penalty * scaled_adv_c\n        # Normalize by (1 + penalty) for stability (similar to baselines)\n        return combined / (1.0 + penalty)"
7}
Tool ResultStep 2
OK: Replaced lines 48..70 with 55 line(s) in omnisafe/omnisafe/algorithms/on_policy/naive_lagrange/custom_lag.py. Editable range: 20–20, 48–102.

[Current file: omnisafe/omnisafe/algorithms/on_policy/naive_lagrange/custom_lag.py | editable: 20–20, 48–102 | total: 181 lines]
    20  import math
...
    48      def _init(self) -> None:
    49          super()._init()
    50          self._cost_limit: float = self._cfgs.lagrange_cfgs.cost_limit
       ... (49 more lines) ...
   100          combined = adv_r - penalty * scaled_adv_c
   101          # Normalize by (1 + penalty) for stability (similar to baselines)
   102          return combined / (1.0 + penalty)
AssistantStep 3test
Tool ResultStep 3
[Test #1] (2 tests remaining; call submit(n=N) to choose which test result to submit as final)


## Seed 42

### SafetyPointGoal1-v0 (scripts/point_goal.sh)
Training metrics (last epochs):
TRAIN_METRICS epoch=95 ep_ret=-0.7960 ep_cost=98.4600 ep_len=1000.0
TRAIN_METRICS epoch=96 ep_ret=-0.8715 ep_cost=98.4000 ep_len=1000.0
TRAIN_METRICS epoch=97 ep_ret=-1.2125 ep_cost=81.1900 ep_len=1000.0
TRAIN_METRICS epoch=98 ep_ret=-1.1391 ep_cost=78.0000 ep_len=1000.0
TRAIN_METRICS epoch=99 ep_ret=-1.1802 ep_cost=73.5300 ep_len=1000.0
Final evaluation:
  TEST_METRICS ep_ret=-1.1802 ep_cost=73.5300 ep_len=1000.0

### SafetyCarGoal1-v0 (scripts/car_goal.sh)
Training metrics (last epochs):
TRAIN_METRICS epoch=95 ep_ret=-0.1703 ep_cost=20.7900 ep_len=1000.0
TRAIN_METRICS epoch=96 ep_ret=-0.2268 ep_cost=21.5500 ep_len=1000.0
TRAIN_METRICS epoch=97 ep_ret=-0.2424 ep_cost=29.4600 ep_len=1000.0
TRAIN_METRICS epoch=98 ep_ret=-0.3878 ep_cost=37.8600 ep_len=1000.0
TRAIN_METRICS epoch=99 ep_ret=-0.4952 ep_cos
AssistantStep 4edit
Tool Input
1{
2  "op": "replace",
3  "filename": "omnisafe/omnisafe/algorithms/on_policy/naive_lagrange/custom_lag.py",
4  "start_line": 48,
5  "end_line": 102,
6  "content": "    def _init(self) -> None:\n        super()._init()\n        self._cost_limit: float = self._cfgs.lagrange_cfgs.cost_limit\n        # Adaptive Step Size Lagrangian parameters\n        self._lagrangian_multiplier: float = 0.0\n        self._ema_delta: float = 0.0  # exponential moving average of constraint violation\n        self._ema_beta: float = 0.9   # smoothing factor\n        self._base_lr: float = self._cfgs.lagrange_cfgs.lambda_lr  # base learning rate\n        self._alpha: float = 0.1      # scaling factor for adaptive step size\n        self._max_lr: float = 0.1     # maximum learning rate\n        self._min_lr: float = 1e-5    # minimum learning rate\n        # For advantage combination\n        self._clip_adv_c: float = 10.0  # clip cost advantage magnitude\n\n    def _init_log(self) -> None:\n        super()._init_log()\n        self._logger.register_key('Metrics/LagrangeMultiplier', min_and_max=True)\n        self._logger.register_key('Metrics/EMADelta', min_and_max=True)\n        self._logger.register_key('Metrics/AdaptiveLR', min_and_max=True)\n\n    def _update(self) -> None:\n        Jc = self._logger.get_stats('Metrics/EpCost')[0]\n        assert not np.isnan(Jc), 'cost is nan'\n        # Compute constraint violation\n        delta = Jc - self._cost_limit\n        # Update exponential moving average\n        self._ema_delta = self._ema_beta * self._ema_delta + (1.0 - self._ema_beta) * delta\n        # Adaptive step size: larger violation → larger learning rate\n        adaptive_lr = self._base_lr * (1.0 + self._alpha * abs(self._ema_delta))\n        adaptive_lr = np.clip(adaptive_lr, self._min_lr, self._max_lr)\n        # Update Lagrangian multiplier (gradient ascent on dual)\n        self._lagrangian_multiplier = max(0.0, self._lagrangian_multiplier + adaptive_lr * delta)\n        # Log metrics\n        self._logger.store({\n            'Metrics/LagrangeMultiplier': self._lagrangian_multiplier,\n            'Metrics/EMADelta': self._ema_delta,\n            'Metrics/AdaptiveLR': adaptive_lr,\n        })\n        super()._update()\n\n    def _compute_adv_surrogate(self, adv_r: torch.Tensor, adv_c: torch.Tensor) -> torch.Tensor:\n        \"\"\"Combine reward and cost advantages with clipped cost advantage.\"\"\"\n        penalty = self._lagrangian_multiplier\n        # Clip cost advantage to avoid extreme gradients\n        clipped_adv_c = torch.clamp(adv_c, -self._clip_adv_c, self._clip_adv_c)\n        # Combined advantage: reward - penalty * cost\n        combined = adv_r - penalty * clipped_adv_c\n        # Normalize by (1 + penalty) for stability\n        return combined / (1.0 + penalty)"
7}
Tool ResultStep 4
OK: Replaced lines 48..102 with 49 line(s) in omnisafe/omnisafe/algorithms/on_policy/naive_lagrange/custom_lag.py. Editable range: 20–20, 48–96.

[Current file: omnisafe/omnisafe/algorithms/on_policy/naive_lagrange/custom_lag.py | editable: 20–20, 48–96 | total: 175 lines]
    20  import math
...
    48      def _init(self) -> None:
    49          super()._init()
    50          self._cost_limit: float = self._cfgs.lagrange_cfgs.cost_limit
       ... (43 more lines) ...
    94          combined = adv_r - penalty * clipped_adv_c
    95          # Normalize by (1 + penalty) for stability
    96          return combined / (1.0 + penalty)
AssistantStep 5test
AssistantStep 5test
Tool ResultStep 5
[Test #2] (0 tests remaining; call submit(n=N) to choose which test result to submit as final)

[NOTE] This was your last test. You MUST now call submit(n=X) to choose which test result to submit as your final answer.


## Seed 42

### SafetyPointGoal1-v0 (scripts/point_goal.sh)
Training metrics (last epochs):
TRAIN_METRICS epoch=95 ep_ret=-0.7960 ep_cost=98.4600 ep_len=1000.0
TRAIN_METRICS epoch=96 ep_ret=-0.8715 ep_cost=98.4000 ep_len=1000.0
TRAIN_METRICS epoch=97 ep_ret=-1.2125 ep_cost=81.1900 ep_len=1000.0
TRAIN_METRICS epoch=98 ep_ret=-1.1391 ep_cost=78.0000 ep_len=1000.0
TRAIN_METRICS epoch=99 ep_ret=-1.1802 ep_cost=73.5300 ep_len=1000.0
Final evaluation:
  TEST_METRICS ep_ret=-1.1802 ep_cost=73.5300 ep_len=1000.0

### SafetyCarGoal1-v0 (scripts/car_goal.sh)
Training metrics (last epochs):
TRAIN_METRICS epoch=95 ep_ret=-0.1703 ep_cost=20.7900 ep_len=1000.0
TRAIN_METRICS epoch=96 ep_ret=-0.2268 ep_cost=21.5500 ep_len=1000.0
TRAIN_METRICS epoch=97 ep_ret=-0.2424 ep_cost=29.4600 ep_
AssistantStep 6edit
Tool Input
1{
2  "op": "replace",
3  "filename": "omnisafe/omnisafe/algorithms/on_policy/naive_lagrange/custom_lag.py",
4  "start_line": 48,
5  "end_line": 96,
6  "content": "    def _init(self) -> None:\n        super()._init()\n        self._cost_limit: float = self._cfgs.lagrange_cfgs.cost_limit\n        # Conservative safety margin: aim for cost lower than limit\n        self._safety_margin: float = 5.0\n        self._target_cost: float = max(self._cost_limit - self._safety_margin, 0.0)\n        # Lagrangian multiplier with Adam optimizer\n        init_value = 0.0\n        self._lagrangian_multiplier = torch.nn.Parameter(\n            torch.as_tensor(init_value), requires_grad=True,\n        )\n        self._lambda_optimizer = torch.optim.Adam(\n            [self._lagrangian_multiplier],\n            lr=self._cfgs.lagrange_cfgs.lambda_lr,\n        )\n        # Adaptive learning rate scaling based on violation\n        self._ema_delta: float = 0.0\n        self._ema_beta: float = 0.9\n        self._clip_adv_c: float = 10.0\n        # Lambda clipping\n        self._lambda_max: float = 10.0\n\n    def _init_log(self) -> None:\n        super()._init_log()\n        self._logger.register_key('Metrics/LagrangeMultiplier', min_and_max=True)\n        self._logger.register_key('Metrics/EMADelta', min_and_max=True)\n\n    def _update(self) -> None:\n        Jc = self._logger.get_stats('Metrics/EpCost')[0]\n        assert not np.isnan(Jc), 'cost is nan'\n        # Compute constraint violation relative to target cost\n        delta = Jc - self._target_cost\n        # Update exponential moving average of violation\n        self._ema_delta = self._ema_beta * self._ema_delta + (1.0 - self._ema_beta) * delta\n        # Scale learning rate based on violation magnitude (adaptive)\n        # If violation is large, increase effective learning rate\n        scale = 1.0 + 0.1 * abs(self._ema_delta)\n        scaled_lr = self._cfgs.lagrange_cfgs.lambda_lr * scale\n        # Update lambda using Adam optimizer with scaled learning rate\n        # We manually adjust learning rate for this step\n        for param_group in self._lambda_optimizer.param_groups:\n            param_group['lr'] = scaled_lr\n        self._lambda_optimizer.zero_grad()\n        lambda_loss = -self._lagrangian_multiplier * delta\n        lambda_loss.backward()\n        self._lambda_optimizer.step()\n        # Clip lambda to non-negative and maximum\n        self._lagrangian_multiplier.data.clamp_(0.0, self._lambda_max)\n        # Log metrics\n        self._logger.store({\n            'Metrics/LagrangeMultiplier': self._lagrangian_multiplier.item(),\n            'Metrics/EMADelta': self._ema_delta,\n        })\n        super()._update()\n\n    def _compute_adv_surrogate(self, adv_r: torch.Tensor, adv_c: torch.Tensor) -> torch.Tensor:\n        \"\"\"Combine reward and cost advantages with clipped cost advantage.\"\"\"\n        penalty = self._lagrangian_multiplier.item()\n        # Clip cost advantage to avoid extreme gradients\n        clipped_adv_c = torch.clamp(adv_c, -self._clip_adv_c, self._clip_adv_c)\n        # Combined advantage: reward - penalty * cost (Lagrangian gradient)\n        combined = adv_r - penalty * clipped_adv_c\n        # Optional: normalize by (1 + penalty) for stability; but we omit to keep scale\n        return combined"
7}
Tool ResultStep 6
ERROR: Lines 48..96 exceed the editable range. You may only edit lines 20–20.

[Current file: omnisafe/omnisafe/algorithms/on_policy/naive_lagrange/custom_lag.py | editable: 20–20 | total: 175 lines]
    20  import math
AssistantStep 7undo
Tool Input
1{
2  "n": 1
3}
Tool ResultStep 7
ERROR: Nothing to undo
AssistantStep 8edit
Tool Input
1{
2  "op": "replace",
3  "filename": "omnisafe/omnisafe/algorithms/on_policy/naive_lagrange/custom_lag.py",
4  "start_line": 48,
5  "end_line": 70,
6  "content": "    def _init(self) -> None:\n        super()._init()\n        self._cost_limit: float = self._cfgs.lagrange_cfgs.cost_limit\n        self._lagrangian_multiplier: float = 0.0\n        self._ema_delta: float = 0.0\n        self._ema_beta: float = 0.9\n\n    def _init_log(self) -> None:\n        super()._init_log()\n        self._logger.register_key('Metrics/LagrangeMultiplier', min_and_max=True)\n\n    def _update(self) -> None:\n        Jc = self._logger.get_stats('Metrics/EpCost')[0]\n        assert not np.isnan(Jc), 'cost is nan'\n        delta = Jc - self._cost_limit\n        self._ema_delta = self._ema_beta * self._ema_delta + (1.0 - self._ema_beta) * delta\n        # Adaptive learning rate scaling\n        scale = 1.0 + 0.1 * abs(self._ema_delta)\n        lr = self._cfgs.lagrange_cfgs.lambda_lr * scale\n        self._lagrangian_multiplier = max(0.0, self._lagrangian_multiplier + lr * delta)\n        super()._update()\n        self._logger.store({'Metrics/LagrangeMultiplier': self._lagrangian_multiplier})\n\n    def _compute_adv_surrogate(self, adv_r: torch.Tensor, adv_c: torch.Tensor) -> torch.Tensor:\n        penalty = self._lagrangian_multiplier\n        return (adv_r - penalty * adv_c) / (1.0 + penalty)"
7}
Tool ResultStep 8
ERROR: Lines 48..70 exceed the editable range. You may only edit lines 20–20.

[Current file: omnisafe/omnisafe/algorithms/on_policy/naive_lagrange/custom_lag.py | editable: 20–20 | total: 175 lines]
    20  import math
AssistantStep 9test