10 Comments
User's avatar
Eli's avatar

Great article Cameron. Thanks!

One typo in the conclusion section where "require" appears twice: "algorithms like PPO that require require substantial domain knowledge..."

Paul's avatar

Interesting, interesting and thanks for the hint at https://thinkingmachines.ai/blog/on-policy-distillation/

Thanks for the deep dive from Reward Models over DPO and PPO to GRPO. Curious what comes next!

Is a typo in your pseudocode?

Shouldn't this

```

kl_div_alt = (

torch.exp(ref_per_token_logps - per_token_logps)

- (ref_per_token_logps - **ref_per_token_logps**)

- 1

)

```

rather be this

```

kl_div_alt = (

torch.exp(ref_per_token_logps - per_token_logps)

- (ref_per_token_logps - **per_token_logps**)

- 1

)

```

?

Cameron R. Wolfe, Ph.D.'s avatar

You're right! Fixed it, and thank you for catching this :)

Cameron R. Wolfe, Ph.D.'s avatar

In terms of what comes next - I'm currently burned out on RL. So, I'm going to writeup some stuff on Olmo 3 that'll come out next week. Then, I'll probably return to cap off the RL series by covering:

- GRPO variants

- Properties of RL versus supervised training properties (mostly related to generalization, lots of recent papers looking at this)

- Maybe one final post that puts everything together into a big "RL for LLMs" reference post

Paul's avatar

I thought so, it was A LOT of detailed RL deep dives over the past months.

Looking forward to the Olmo 3 writeup! Impressive model and super open about their approach from what I can tell/see from Nathan Lambert

Rainbow Roxy's avatar

Hey, great read as always. Your explanation of GRPO's refreshing simplicty and efficiency for LLM reasoning is spot on. It reminds me a bit of mastering a Pilates flow, simplifying complex movements for greater impact. Democratising RL research is such a crucial step for the field, really well put.

Cameron R. Wolfe, Ph.D.'s avatar

Thanks for the kind words!

Hanbyul Kim's avatar

Hi, thank you for a great article.

I have a quick question on KL penalty estimation formula on the figure. I computed the expected value of two estimators, but I guess they may have errors?

Top one: According to KL div definition, $\log p(x) - \log q(x)$ is correct, isn't it?

Bottom one: To make this expected value as KL div, I guess, r should be p(x) / q(x)?

User's avatar
Comment removed
Nov 24, 2025
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Cameron R. Wolfe, Ph.D.'s avatar

Agree - thanks for reading!