POMDPPlanners.environments.safety_ant_velocity_pomdp package

Safety Ant Velocity POMDP Environment Package.

This package implements a safety-critical velocity control task where an agent must navigate while avoiding unsafe velocities.

class POMDPPlanners.environments.safety_ant_velocity_pomdp.SafeAntVelocityPOMDP(discount_factor, safe_velocity_threshold=2.0, max_force=1.0, dt=0.1, mass=1.0, damping=0.1, position_noise=0.1, velocity_noise=0.2, safety_violation_penalty=-100.0, movement_reward_scale=1.0, name='SafeVelocityPOMDP', output_dir=None, debug=False, use_queue_logger=False)[source]

Bases: DiscreteActionsEnvironment

Safety-critical velocity control task formulated as a POMDP.

This environment presents a safety-critical control problem where an agent must navigate while keeping velocity below a safety threshold. The challenge comes from balancing exploration rewards with safety constraints under noisy velocity observations.

Problem Structure: - State: [position_x, position_y, velocity_x, velocity_y] (continuous) - Actions: [0=no force, 1=small, 2=medium, 3=large force] (discrete) - Observations: Noisy position and velocity measurements (continuous) - Rewards: Movement reward - safety violation penalty (if unsafe) - Safety constraint: velocity magnitude ≤ safe_velocity_threshold - Termination: Velocity exceeds 1.5x safety threshold

Safety Features: - Tracks safety and critical violation rates - Heavy penalties for constraint violations - Configurable safety thresholds and penalties - Physics simulation with uncertainty in force direction

Example

>>> import numpy as np
>>> np.random.seed(42)  # For reproducible results
>>>
>>> # Initialize environment
>>> env = SafeAntVelocityPOMDP(discount_factor=0.99)
>>>
>>> # Get initial state and actions
>>> initial_state = env.initial_state_dist().sample()[0]
>>> actions = env.get_actions()
>>>
>>> # Sample complete step using convenience method
>>> action = actions[0]
>>> next_state, observation, reward = env.sample_next_step(initial_state, action)
>>>
>>> # Check terminal condition
>>> env.is_terminal(initial_state)
False
Parameters:
cache_visualization(history, cache_path)[source]

Cache animated visualization of the safety ant velocity episode.

Creates an animated GIF showing the ant’s movement trajectory with velocity vectors, safety zones, force applications, and safety constraint violations.

Parameters:
  • history (List[StepData]) – Episode history containing states, actions, and rewards

  • cache_path (Path) – Path where to save the visualization (must end with .gif)

Raises:
  • ValueError – If history is empty or cache_path doesn’t end with .gif

  • TypeError – If cache_path is not a Path object

Return type:

None

compute_metrics(histories)[source]

Compute environment-specific metrics from episode histories.

This method can be overridden by subclasses to provide custom metric calculations beyond standard return and episode length.

Parameters:

histories (List[History]) – List of episode histories to analyze

Return type:

List[MetricValue]

Returns:

List of computed metrics with confidence intervals

get_actions()[source]

Get all possible actions in the discrete action space.

Return type:

List[int]

Returns:

List containing all valid actions that can be executed

Note

Subclasses must implement this method to enumerate all possible actions. This is used by planning algorithms that need to iterate over actions.

get_metric_names()[source]

Get names of Safety Ant Velocity POMDP specific metrics.

Returns:

safety_violation_rate, critical_violation_rate, total_safety_violations, and total_critical_violations

Return type:

List[str]

hash_action(action)[source]

Return a hashable key consistent with action equality.

Used by tree-search planners to index action children of a belief node in O(1). The returned key MUST satisfy:

action_a == action_b   (per env's notion of equality)
==> hash_action(action_a) == hash_action(action_b)

Subclasses with non-hashable actions (e.g. np.ndarray) must override to return a hashable surrogate (tobytes() is the standard choice for ndarray actions, which mirrors the np.array_equal semantics used by the linear-scan fallback).

Parameters:

action (Any) – Action to hash.

Return type:

Hashable

Returns:

A hashable key derived from action.

initial_observation_dist()[source]

Get the initial observation distribution.

Return type:

Distribution

Returns:

Distribution over initial observations

Note

Subclasses must implement this method to define initial observations.

initial_state_dist()[source]

Get the initial state distribution.

Return type:

Distribution

Returns:

Distribution over initial states

Note

Subclasses must implement this method to define the starting distribution.

is_equal_observation(observation1, observation2)[source]

Check if two observations are equal.

Parameters:
  • observation1 (ndarray) – First observation to compare

  • observation2 (ndarray) – Second observation to compare

Return type:

bool

Returns:

True if observations are considered equal, False otherwise

Note

Subclasses must implement this method to define observation equality. This is particularly important for discrete observation spaces.

is_terminal(state)[source]

Check if a state is terminal.

Parameters:

state (ndarray) – State to check for terminal condition

Return type:

bool

Returns:

True if the state is terminal, False otherwise

Note

Subclasses must implement this method to define terminal conditions.

observation_log_probability(next_state, action, observations)[source]

Log-probability of each candidate observation under (next_state, action).

Returns np.ndarray of shape (N,) where N is the number of candidate observations. Subclasses must implement.

Return type:

ndarray

Parameters:
observation_log_probability_per_state(next_states, action, observation)[source]

Log-probability of one observation under each candidate next-state.

Used by particle filters: given N candidate next-states and ONE observation, return N log-likelihoods.

The default implementation falls back to a per-state Python loop delegating to observation_log_probability(). Native-backed envs (those whose observation kernel exposes batch_log_likelihood(next_states_array, observation_array)) should override to avoid the loop.

Parameters:
  • next_states (Any) – A sequence (length N) or ndarray of shape (N, *dim) of candidate next-states.

  • action (int) – The action that was executed.

  • observation (Any) – A single observation.

Return type:

ndarray

Returns:

ndarray of shape (N,) with log-probabilities or log-PDFs.

reward(state, action, next_state=None)[source]

Calculate the immediate reward for a state-action(-next_state) tuple.

next_state is the realised post-transition state when known (e.g. threaded by sample_next_step()), allowing rewards that depend on stochastic transition outcomes to use the same draw as the trajectory instead of resampling. Subclasses whose reward is a pure function of (state, action) may ignore it; subclasses whose reward depends on the realised next state (collision penalties, win bonuses) should consume it when provided and fall back to drawing/computing one when None.

Parameters:
  • state (ndarray) – Current state.

  • action (int) – Action executed from state.

  • next_state (Any) – Realised next state, or None if the caller did not pre-sample one. Defaults to None.

Return type:

float

Returns:

Immediate reward value.

Note

Subclasses must implement this method to define reward structure.

reward_batch(states, action, next_states=None)[source]

Calculate rewards for a batch of states given a single action.

Provides a loop-based default that subclasses can override with vectorized numpy implementations for better performance.

Parameters:
  • states (Union[ndarray, Sequence[Any]]) – Sequence of states of length N.

  • action (int) – Action executed from each state.

  • next_states (Union[ndarray, Sequence[Any], None]) – Optional realised next states (length N) threaded through to reward(). Defaults to None.

Return type:

ndarray

Returns:

1-D array of reward values with shape (N,).

sample_next_state(state, action, n_samples=1)[source]

Sample one or more next states for (state, action).

Hot-path entry point used by MCTS planners and particle filters. Subclasses must implement.

Returns:

a single next state of the env’s native type. When n_samples > 1: an array-like of length n_samples (numeric envs return np.ndarray of shape (n_samples, *dim); structured envs return List[T]).

Return type:

Any

Parameters:
sample_next_state_batch(states, action)[source]

Sample one next state per input state, all under the same action.

Used by particle filters: given N current particles and one action, draw N next states (one per particle) in a single vectorized call.

The default implementation falls back to a per-state Python loop delegating to sample_next_state(). Native-backed envs (those whose state-transition kernel exposes batch_sample(states_array)) should override to avoid the loop.

Parameters:
  • states (Any) – A sequence (length N) or ndarray of shape (N, *dim) of input particles.

  • action (int) – A single action to apply to every particle.

Returns:

np.ndarray of shape (N, *dim). For structured envs (Tiger strings, Pacman tuples): a list of length N.

Return type:

ndarray

sample_next_step(state, action)[source]

Sample a complete state transition step.

This convenience method combines state transition, observation generation, and reward calculation in a single operation.

Parameters:
  • state (ndarray) – Current state

  • action (int) – Action to execute

Returns:

  • next_state: Sampled next state

  • next_observation: Sampled observation

  • reward: Immediate reward

Return type:

Tuple[ndarray, ndarray, float]

sample_observation(next_state, action, n_samples=1)[source]

Sample one or more observations for (next_state, action).

Hot-path entry point used by MCTS planners and particle filters. Subclasses must implement.

Returns:

a single observation. When n_samples > 1: an array-like of length n_samples.

Return type:

Any

Parameters:
simulate_random_rollout(state, action_sampler, max_depth, discount_factor, depth=0)[source]

Random rollout via native C++ physics and reward kernel.

Pre-draws action indices and runs the full rollout in a single C++ call, avoiding per-step Python dispatch.

Parameters:
  • state (Any) – Current 4-D state [px, py, vx, vy].

  • action_sampler (Any) – Accepted for interface compatibility with the base simulate_random_rollout signature; the native rollout draws action indices via np.random.randint directly and never invokes the sampler.

  • max_depth (int) – Maximum rollout depth.

  • discount_factor (float) – Per-step discount factor.

  • depth (int) – Depth already consumed by the search tree. Defaults to 0.

Return type:

float

Returns:

Discounted sum of immediate rewards along the sampled trajectory.

transition_log_probability(state, action, next_states)[source]

Log-probability of each candidate next state under (state, action).

Returns np.ndarray of shape (N,) where N is the number of candidate next states. Subclasses must implement.

Return type:

ndarray

Parameters:
class POMDPPlanners.environments.safety_ant_velocity_pomdp.SafeAntVelocityVisualizer(env)[source]

Bases: object

Visualizer for Safety Ant Velocity POMDP episodes.

This class creates animated visualizations showing the ant’s movement trajectory, velocity vectors, force applications, safety zones, and safety constraint violations.

env

The SafeAntVelocityPOMDP environment instance

safe_velocity_threshold

Maximum safe velocity magnitude

max_force

Maximum force that can be applied

create_animation(history, cache_path)[source]

Create animated visualization of the safety ant velocity episode.

Creates an animated GIF showing the ant’s movement trajectory with velocity vectors, safety zones, force applications, and safety constraint violations.

Parameters:
  • history (List[StepData]) – Episode history containing states, actions, and rewards

  • cache_path (Path) – Path where to save the visualization (must end with .gif)

Raises:
  • ValueError – If history is empty or cache_path doesn’t end with .gif

  • TypeError – If cache_path is not a Path object

Return type:

None

Subpackages

Submodules

POMDPPlanners.environments.safety_ant_velocity_pomdp.safety_ant_velocity_pomdp module

Safety Ant Velocity POMDP Environment Implementation.

This module implements a safety-critical velocity control task where an agent must navigate while avoiding unsafe velocities. The challenge is balancing exploration and movement rewards with safety constraints under partial observability.

The Safety Ant Velocity POMDP features: - Continuous 4D state space: [position_x, position_y, velocity_x, velocity_y] - Discrete action space: [0 (no force), 1 (small), 2 (medium), 3 (large force)] - Physics-based dynamics with force application and damping - Noisy observations of both position and velocity - Safety constraints on maximum velocity magnitude - Safety-focused metrics tracking violation rates

Key aspects: - Rewards encourage movement but heavily penalize safety violations - Episode terminates if velocity becomes critically high - Force direction is randomized to create uncertainty - Safety metrics track violation rates over episodes

Classes:

SafeAntVelocityPOMDP: Main safety-critical velocity control environment

class POMDPPlanners.environments.safety_ant_velocity_pomdp.safety_ant_velocity_pomdp.SafeAntVelocityPOMDP(discount_factor, safe_velocity_threshold=2.0, max_force=1.0, dt=0.1, mass=1.0, damping=0.1, position_noise=0.1, velocity_noise=0.2, safety_violation_penalty=-100.0, movement_reward_scale=1.0, name='SafeVelocityPOMDP', output_dir=None, debug=False, use_queue_logger=False)[source]

Bases: DiscreteActionsEnvironment

Safety-critical velocity control task formulated as a POMDP.

This environment presents a safety-critical control problem where an agent must navigate while keeping velocity below a safety threshold. The challenge comes from balancing exploration rewards with safety constraints under noisy velocity observations.

Problem Structure: - State: [position_x, position_y, velocity_x, velocity_y] (continuous) - Actions: [0=no force, 1=small, 2=medium, 3=large force] (discrete) - Observations: Noisy position and velocity measurements (continuous) - Rewards: Movement reward - safety violation penalty (if unsafe) - Safety constraint: velocity magnitude ≤ safe_velocity_threshold - Termination: Velocity exceeds 1.5x safety threshold

Safety Features: - Tracks safety and critical violation rates - Heavy penalties for constraint violations - Configurable safety thresholds and penalties - Physics simulation with uncertainty in force direction

Example

>>> import numpy as np
>>> np.random.seed(42)  # For reproducible results
>>>
>>> # Initialize environment
>>> env = SafeAntVelocityPOMDP(discount_factor=0.99)
>>>
>>> # Get initial state and actions
>>> initial_state = env.initial_state_dist().sample()[0]
>>> actions = env.get_actions()
>>>
>>> # Sample complete step using convenience method
>>> action = actions[0]
>>> next_state, observation, reward = env.sample_next_step(initial_state, action)
>>>
>>> # Check terminal condition
>>> env.is_terminal(initial_state)
False
Parameters:
cache_visualization(history, cache_path)[source]

Cache animated visualization of the safety ant velocity episode.

Creates an animated GIF showing the ant’s movement trajectory with velocity vectors, safety zones, force applications, and safety constraint violations.

Parameters:
  • history (List[StepData]) – Episode history containing states, actions, and rewards

  • cache_path (Path) – Path where to save the visualization (must end with .gif)

Raises:
  • ValueError – If history is empty or cache_path doesn’t end with .gif

  • TypeError – If cache_path is not a Path object

Return type:

None

compute_metrics(histories)[source]

Compute environment-specific metrics from episode histories.

This method can be overridden by subclasses to provide custom metric calculations beyond standard return and episode length.

Parameters:

histories (List[History]) – List of episode histories to analyze

Return type:

List[MetricValue]

Returns:

List of computed metrics with confidence intervals

get_actions()[source]

Get all possible actions in the discrete action space.

Return type:

List[int]

Returns:

List containing all valid actions that can be executed

Note

Subclasses must implement this method to enumerate all possible actions. This is used by planning algorithms that need to iterate over actions.

get_metric_names()[source]

Get names of Safety Ant Velocity POMDP specific metrics.

Returns:

safety_violation_rate, critical_violation_rate, total_safety_violations, and total_critical_violations

Return type:

List[str]

hash_action(action)[source]

Return a hashable key consistent with action equality.

Used by tree-search planners to index action children of a belief node in O(1). The returned key MUST satisfy:

action_a == action_b   (per env's notion of equality)
==> hash_action(action_a) == hash_action(action_b)

Subclasses with non-hashable actions (e.g. np.ndarray) must override to return a hashable surrogate (tobytes() is the standard choice for ndarray actions, which mirrors the np.array_equal semantics used by the linear-scan fallback).

Parameters:

action (Any) – Action to hash.

Return type:

Hashable

Returns:

A hashable key derived from action.

initial_observation_dist()[source]

Get the initial observation distribution.

Return type:

Distribution

Returns:

Distribution over initial observations

Note

Subclasses must implement this method to define initial observations.

initial_state_dist()[source]

Get the initial state distribution.

Return type:

Distribution

Returns:

Distribution over initial states

Note

Subclasses must implement this method to define the starting distribution.

is_equal_observation(observation1, observation2)[source]

Check if two observations are equal.

Parameters:
  • observation1 (ndarray) – First observation to compare

  • observation2 (ndarray) – Second observation to compare

Return type:

bool

Returns:

True if observations are considered equal, False otherwise

Note

Subclasses must implement this method to define observation equality. This is particularly important for discrete observation spaces.

is_terminal(state)[source]

Check if a state is terminal.

Parameters:

state (ndarray) – State to check for terminal condition

Return type:

bool

Returns:

True if the state is terminal, False otherwise

Note

Subclasses must implement this method to define terminal conditions.

observation_log_probability(next_state, action, observations)[source]

Log-probability of each candidate observation under (next_state, action).

Returns np.ndarray of shape (N,) where N is the number of candidate observations. Subclasses must implement.

Return type:

ndarray

Parameters:
observation_log_probability_per_state(next_states, action, observation)[source]

Log-probability of one observation under each candidate next-state.

Used by particle filters: given N candidate next-states and ONE observation, return N log-likelihoods.

The default implementation falls back to a per-state Python loop delegating to observation_log_probability(). Native-backed envs (those whose observation kernel exposes batch_log_likelihood(next_states_array, observation_array)) should override to avoid the loop.

Parameters:
  • next_states (Any) – A sequence (length N) or ndarray of shape (N, *dim) of candidate next-states.

  • action (int) – The action that was executed.

  • observation (Any) – A single observation.

Return type:

ndarray

Returns:

ndarray of shape (N,) with log-probabilities or log-PDFs.

reward(state, action, next_state=None)[source]

Calculate the immediate reward for a state-action(-next_state) tuple.

next_state is the realised post-transition state when known (e.g. threaded by sample_next_step()), allowing rewards that depend on stochastic transition outcomes to use the same draw as the trajectory instead of resampling. Subclasses whose reward is a pure function of (state, action) may ignore it; subclasses whose reward depends on the realised next state (collision penalties, win bonuses) should consume it when provided and fall back to drawing/computing one when None.

Parameters:
  • state (ndarray) – Current state.

  • action (int) – Action executed from state.

  • next_state (Any) – Realised next state, or None if the caller did not pre-sample one. Defaults to None.

Return type:

float

Returns:

Immediate reward value.

Note

Subclasses must implement this method to define reward structure.

reward_batch(states, action, next_states=None)[source]

Calculate rewards for a batch of states given a single action.

Provides a loop-based default that subclasses can override with vectorized numpy implementations for better performance.

Parameters:
  • states (Union[ndarray, Sequence[Any]]) – Sequence of states of length N.

  • action (int) – Action executed from each state.

  • next_states (Union[ndarray, Sequence[Any], None]) – Optional realised next states (length N) threaded through to reward(). Defaults to None.

Return type:

ndarray

Returns:

1-D array of reward values with shape (N,).

sample_next_state(state, action, n_samples=1)[source]

Sample one or more next states for (state, action).

Hot-path entry point used by MCTS planners and particle filters. Subclasses must implement.

Returns:

a single next state of the env’s native type. When n_samples > 1: an array-like of length n_samples (numeric envs return np.ndarray of shape (n_samples, *dim); structured envs return List[T]).

Return type:

Any

Parameters:
sample_next_state_batch(states, action)[source]

Sample one next state per input state, all under the same action.

Used by particle filters: given N current particles and one action, draw N next states (one per particle) in a single vectorized call.

The default implementation falls back to a per-state Python loop delegating to sample_next_state(). Native-backed envs (those whose state-transition kernel exposes batch_sample(states_array)) should override to avoid the loop.

Parameters:
  • states (Any) – A sequence (length N) or ndarray of shape (N, *dim) of input particles.

  • action (int) – A single action to apply to every particle.

Returns:

np.ndarray of shape (N, *dim). For structured envs (Tiger strings, Pacman tuples): a list of length N.

Return type:

ndarray

sample_next_step(state, action)[source]

Sample a complete state transition step.

This convenience method combines state transition, observation generation, and reward calculation in a single operation.

Parameters:
  • state (ndarray) – Current state

  • action (int) – Action to execute

Returns:

  • next_state: Sampled next state

  • next_observation: Sampled observation

  • reward: Immediate reward

Return type:

Tuple[ndarray, ndarray, float]

sample_observation(next_state, action, n_samples=1)[source]

Sample one or more observations for (next_state, action).

Hot-path entry point used by MCTS planners and particle filters. Subclasses must implement.

Returns:

a single observation. When n_samples > 1: an array-like of length n_samples.

Return type:

Any

Parameters:
simulate_random_rollout(state, action_sampler, max_depth, discount_factor, depth=0)[source]

Random rollout via native C++ physics and reward kernel.

Pre-draws action indices and runs the full rollout in a single C++ call, avoiding per-step Python dispatch.

Parameters:
  • state (Any) – Current 4-D state [px, py, vx, vy].

  • action_sampler (Any) – Accepted for interface compatibility with the base simulate_random_rollout signature; the native rollout draws action indices via np.random.randint directly and never invokes the sampler.

  • max_depth (int) – Maximum rollout depth.

  • discount_factor (float) – Per-step discount factor.

  • depth (int) – Depth already consumed by the search tree. Defaults to 0.

Return type:

float

Returns:

Discounted sum of immediate rewards along the sampled trajectory.

transition_log_probability(state, action, next_states)[source]

Log-probability of each candidate next state under (state, action).

Returns np.ndarray of shape (N,) where N is the number of candidate next states. Subclasses must implement.

Return type:

ndarray

Parameters:
class POMDPPlanners.environments.safety_ant_velocity_pomdp.safety_ant_velocity_pomdp.SafeAntVelocityPOMDPMetrics(*values)[source]

Bases: Enum

Metric names for Safety Ant Velocity POMDP environment.

CRITICAL_VIOLATION_RATE = 'critical_violation_rate'
SAFETY_VIOLATION_RATE = 'safety_violation_rate'
TOTAL_CRITICAL_VIOLATIONS = 'total_critical_violations'
TOTAL_SAFETY_VIOLATIONS = 'total_safety_violations'

POMDPPlanners.environments.safety_ant_velocity_pomdp.safety_ant_velocity_visualizer module

Visualization utilities for Safety Ant Velocity POMDP Environment.

This module provides visualization capabilities for the Safety Ant Velocity POMDP, creating animated GIF visualizations of episode trajectories with safety zones, velocity vectors, and safety constraint violations.

Classes:

SafeAntVelocityVisualizer: Creates animated visualizations of episodes

class POMDPPlanners.environments.safety_ant_velocity_pomdp.safety_ant_velocity_visualizer.SafeAntVelocityVisualizer(env)[source]

Bases: object

Visualizer for Safety Ant Velocity POMDP episodes.

This class creates animated visualizations showing the ant’s movement trajectory, velocity vectors, force applications, safety zones, and safety constraint violations.

env

The SafeAntVelocityPOMDP environment instance

safe_velocity_threshold

Maximum safe velocity magnitude

max_force

Maximum force that can be applied

create_animation(history, cache_path)[source]

Create animated visualization of the safety ant velocity episode.

Creates an animated GIF showing the ant’s movement trajectory with velocity vectors, safety zones, force applications, and safety constraint violations.

Parameters:
  • history (List[StepData]) – Episode history containing states, actions, and rewards

  • cache_path (Path) – Path where to save the visualization (must end with .gif)

Raises:
  • ValueError – If history is empty or cache_path doesn’t end with .gif

  • TypeError – If cache_path is not a Path object

Return type:

None