Policy gradient methods constitute a significant class of reinforcement learning techniques focused on directly optimizing the policy — the agent's behavior strategy — rather than relying solely on value functions.
These methods seek to find the optimal policy by maximizing expected rewards through gradient ascent on policy parameters, allowing for more flexible and stable learning in continuous and high-dimensional action spaces.
Popular algorithms in this family include REINFORCE, Proximal Policy Optimization (PPO), and Actor-Critic methods such as Advantage Actor-Critic (A2C) and Asynchronous Advantage Actor-Critic (A3C).
Policy gradient algorithms optimize the parameters θ of a policy πθ (a|s) by estimating the gradient of expected cumulative rewards and updating the policy in a direction that improves performance.
1. Unlike value-based methods, they do not require action-value estimation directly.
2. Suitable for continuous action spaces and stochastic policies.
3. Optimize a differentiable objective function to improve policy iteratively.
REINFORCE, also known as the Monte Carlo policy gradient, is a foundational policy gradient algorithm utilizing complete episodes to update policy parameters.
1. Updates policy using sampled returns from entire trajectories based on the formula:
Where,
2. The update reinforces actions that lead to higher returns.
3. Simple to implement, but suffers from high variance and requires many samples.
A2C combines policy-based and value-based approaches by maintaining an actor (policy) and a critic (value function estimator). - visual selection.png)
A2C uses synchronous updates over multiple parallel environments, improving sample efficiency and reducing variance relative to REINFORCE.
A3C extends A2C by employing multiple asynchronous agents running in parallel environments.
1. Each agent interacts with a copy of the environment independently, exploring diverse state spaces.
2. Asynchronous updates stabilize training by decorrelating samples.
3. Facilitates faster training with improved exploration and stability.
PPO is a more recent, popular algorithm designed to stabilize policy updates by limiting the size of policy changes.
1. Uses a clipped surrogate objective to prevent large policy shifts that can degrade performance.
2. Balances sample efficiency and stability without complex constraints or second-order optimization.
3. Simple to implement and widely adopted due to consistent empirical success.
The PPO loss function optimizes:
Where,

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