simpo-loss-implementation

name: simpo-loss-implementation description: Guidance on implementing the SimPO (Simple Preference Optimization) loss function in a trainer class. Use this skill when you need to implement or debug the SimPO loss, ensuring correct use of beta, gamma_beta_ratio, and average log probabilities.

SimPO Loss Implementation Guide

SimPO is a reference-free preference optimization algorithm. The key design is using the average log probability of a sequence as the implicit reward and introducing a target reward margin.

Reward Formulation

The implicit reward for a response $y$ given prompt $x$ is: $$r(x, y) = \frac{\beta}{|y|} \log \pi_\theta(y | x)$$ where $|y|$ is the number of tokens in the response.

SimPO Loss Formula

The SimPO loss for a pair of winning ($y_w$) and losing ($y_l$) responses is: $$L_{SimPO} = -\log \sigma \left( \frac{\beta}{|y_w|} \log \pi_\theta(y_w | x) - \frac{\beta}{|y_l|} \log \pi_\theta(y_l | x) - \gamma \right)$$ In implementation, we often use gamma = gamma_beta_ratio * beta.

Implementation Details

When implementing simpo_loss in a SimPOTrainer class:

1. Input Probabilities: Ensure policy_chosen_logps and policy_rejected_logps are the average log probabilities (log-likelihood normalized by length).
2. Margin Calculation: Calculate gamma as self.gamma_beta_ratio * self.beta.
3. Logits: Compute the logits as: logits = self.beta * policy_chosen_logps - self.beta * policy_rejected_logps - gamma
4. Loss Types:
   • Sigmoid: losses = -F.logsigmoid(logits)
   • Hinge: losses = torch.relu(1 - logits)
5. Rewards: Return the rewards for logging:
   • chosen_rewards = self.beta * policy_chosen_logps
   • rejected_rewards = self.beta * policy_rejected_logps

Example Snippet

def simpo_loss(self, policy_chosen_logps, policy_rejected_logps):
    gamma = self.gamma_beta_ratio * self.beta
    logits = self.beta * policy_chosen_logps - self.beta * policy_rejected_logps - gamma

    if self.loss_type == "sigmoid":
        losses = -F.logsigmoid(logits)
    elif self.loss_type == "hinge":
        losses = torch.relu(1 - logits)
    else:
        raise ValueError(f"Unknown loss type: {self.loss_type}")

    chosen_rewards = self.beta * policy_chosen_logps
    rejected_rewards = self.beta * policy_rejected_logps

    return losses, chosen_rewards, rejected_rewards