{ "cells": [ { "cell_type": "markdown", "id": "83efb6df-7d99-4fee-99f3-f2f668292110", "metadata": {}, "source": [ "\n", "\n", "\n", "\n", "\n", "
\n", "\n", "Supplementary code for the Build a Reasoning Model (From Scratch) book by Sebastian Raschka
\n", "
Code repository: https://github.com/rasbt/reasoning-from-scratch\n", "
\n", "
\n", "\n", "
\n" ] }, { "cell_type": "markdown", "id": "ef2ac59f-0dc1-4c3e-bb8c-2ea79e0f6657", "metadata": {}, "source": [ "# Chapter 7: Exercise Solutions" ] }, { "cell_type": "markdown", "id": "4735f8bb-dd7f-4a4f-8761-269f26b38349", "metadata": {}, "source": [ "Packages that are being used in this notebook:" ] }, { "cell_type": "code", "execution_count": 1, "id": "00e26411-6a34-4c89-bc24-2e36dd14c8eb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "reasoning_from_scratch version: 0.1.15\n", "torch version: 2.10.0\n", "tokenizers version: 0.22.2\n" ] } ], "source": [ "from importlib.metadata import version\n", "\n", "used_libraries = [\n", " \"reasoning_from_scratch\",\n", " \"torch\",\n", " \"tokenizers\" # Used by reasoning_from_scratch\n", "]\n", "\n", "for lib in used_libraries:\n", " print(f\"{lib} version: {version(lib)}\")" ] }, { "cell_type": "markdown", "id": "8d101721-6848-4871-826a-eaf194ddb26a", "metadata": {}, "source": [ " \n", "## Exercise 7.1: Testing the `` format reward" ] }, { "cell_type": "markdown", "id": "2bdf333a-3d07-4ff8-ae7e-bee753f039b9", "metadata": {}, "source": [ "- The following code checks that the format reward is zero if the think tokens are used incorrectly" ] }, { "cell_type": "code", "execution_count": 2, "id": "a5e51f39-3bda-443c-8abd-fd6148661c99", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "✓ qwen3/tokenizer-reasoning.json already up-to-date\n" ] } ], "source": [ "from pathlib import Path\n", "from reasoning_from_scratch.qwen3 import Qwen3Tokenizer\n", "from reasoning_from_scratch.qwen3 import download_qwen3_small\n", "\n", "download_qwen3_small(\n", " kind=\"reasoning\", tokenizer_only=True, out_dir=\"qwen3\"\n", ")\n", "\n", "tokenizer_path = Path(\"qwen3\") / \"tokenizer-reasoning.json\"\n", "tokenizer = Qwen3Tokenizer(tokenizer_file_path=tokenizer_path)" ] }, { "cell_type": "code", "execution_count": 3, "id": "54abff09-b9ef-4242-82db-c4b0cb9ff31c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Correct order: 1.0\n", "Typo in : 0.0\n", "Reversed order: 0.0\n", "Missing : 0.0\n" ] } ], "source": [ "import torch\n", "from reasoning_from_scratch.ch07 import reward_format\n", "\n", "prompt = \"Calculate ...\"\n", "\n", "def check_case(name, rollout):\n", " token_ids = tokenizer.encode(prompt + rollout)\n", " prompt_len = len(tokenizer.encode(prompt))\n", "\n", " reward = reward_format(\n", " token_ids=torch.tensor(token_ids),\n", " prompt_len=prompt_len,\n", " )\n", "\n", " print(f\"{name}: {reward}\")\n", "\n", "\n", "# 1) Correct case\n", "check_case(\n", " \"Correct order\",\n", " \"Let's ... ... ...\"\n", ")\n", "\n", "# 2) Typo in tag\n", "check_case(\n", " \"Typo in \",\n", " \"Let's ... ... ...\"\n", ")\n", "\n", "# 3) Reversed order\n", "check_case(\n", " \"Reversed order\",\n", " \"Let's ... ... ...\"\n", ")\n", "\n", "# 4) Missing one tag\n", "check_case(\n", " \"Missing \",\n", " \"Let's ... ...\"\n", ")" ] }, { "cell_type": "markdown", "id": "ceb19c32-eed2-4e62-9cc2-960decadbb7a", "metadata": {}, "source": [ "- The output indicates that the function requires correct ... tag use to award a reward of 1.0" ] }, { "cell_type": "markdown", "id": "1862561c-aff9-4713-a280-69d5a81ea691", "metadata": {}, "source": [ " \n", "## Exercise 7.2: Conditional format rewards" ] }, { "cell_type": "markdown", "id": "a7d8f350-433b-4116-8976-a3c6a5b4aa5f", "metadata": {}, "source": [ "- The implementation of the conditional reward is very simple; in the main chapter, we discussed implementing the overall reward as follows:\n", "\n", "```python\n", "reward = rlvr_reward + format_reward_weight * format_reward\n", "```\n", "\n", "- So, one way to disable the reward if the correctness reward (`rlvr_reward`) is 0.0 is\n", "\n", "```python\n", "if conditional_reward:\n", " format_reward *= rlvr_reward\n", "reward = rlvr_reward + format_reward_weight * format_reward\n", "```" ] }, { "cell_type": "markdown", "id": "908efe25-bf48-4ee7-b282-e69a7588f02a", "metadata": {}, "source": [ "- To use it in practice, you can run the [03_rlvr_grpo_scripts_advanced/7_6_plus_format_reward.py](../03_rlvr_grpo_scripts_advanced/7_6_plus_format_reward.py) script (similar to section 7.6 in chapter 7) with the `--conditional_reward` flag enabled\n", "- To analyze the results, let's first plot the original results from chapter 7.6 again without conditional rewards for reference:" ] }, { "cell_type": "code", "execution_count": 4, "id": "2d5fc29c-2ca6-41ac-b156-b8bb2be9b177", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "7_6_plus_format_reward_metrics.csv: 51.7 KB (cached)\n" ] }, { "data": { "text/plain": [ "PosixPath('7_6_plus_format_reward_metrics.csv')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from reasoning_from_scratch.ch07 import download_from_github\n", "\n", "download_from_github(\n", " \"ch07/02_logs/7_6_plus_format_reward_metrics.csv\"\n", ")" ] }, { "cell_type": "code", "execution_count": 5, "id": "414cea4b-ec13-4301-b3a9-67fc409424c0", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from reasoning_from_scratch.ch07 import plot_grpo_metrics\n", "\n", "plot_grpo_metrics(\n", " \"7_6_plus_format_reward_metrics.csv\",\n", " columns=[\"loss\", \"reward_avg\", \"avg_response_len\", \"eval_acc\"],\n", ")" ] }, { "cell_type": "code", "execution_count": 6, "id": "43d0ea47-7498-42f7-a3fe-a2b721e33754", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_grpo_metrics(\n", " \"7_6_plus_format_reward_metrics.csv\",\n", " columns=[\"reward_avg\", \"format_reward_avg\", \"adv_std\", \"entropy_avg\"],\n", ")" ] }, { "cell_type": "markdown", "id": "3d5b9f14-6ed8-481b-98d3-43e0b74ec7f9", "metadata": {}, "source": [ "- Next, let's look at the training runs with the conditional rewards enabled:" ] }, { "cell_type": "code", "execution_count": 7, "id": "283e0c77-a1e4-4040-b130-61e45885bda5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "7_6_plus_format_reward_conditional_metrics.csv: 51.6 KB (cached)\n" ] }, { "data": { "text/plain": [ "PosixPath('7_6_plus_format_reward_conditional_metrics.csv')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "download_from_github(\n", " \"ch07/02_logs/7_6_plus_format_reward_conditional_metrics.csv\"\n", ")" ] }, { "cell_type": "code", "execution_count": 8, "id": "b06310e7-0202-443e-8418-bd7443916da4", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_grpo_metrics(\n", " \"7_6_plus_format_reward_conditional_metrics.csv\",\n", " columns=[\"loss\", \"reward_avg\", \"avg_response_len\", \"eval_acc\"],\n", " #save_as=\"ex07-1.pdf\"\n", ")" ] }, { "cell_type": "markdown", "id": "043500f8-18e2-4b01-aa52-a8ffcdfa52de", "metadata": {}, "source": [ "- The evaluation accuracy and reward average take a big hit, but seem to recover\n", "- Overall, despite this performance crash, this looks more stable than before, and the trend indicates that the performance would improve further if we trained longer" ] }, { "cell_type": "code", "execution_count": 9, "id": "1a888143-83f5-4cb6-b93e-aaaa733982c1", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_grpo_metrics(\n", " \"7_6_plus_format_reward_conditional_metrics.csv\",\n", " columns=[\"reward_avg\", \"format_reward_avg\", \"adv_std\", \"entropy_avg\"],\n", " # save_as=\"ex07-2.pdf\"\n", ")" ] }, { "cell_type": "markdown", "id": "c32ce472-9210-4464-b7cb-d03f5298c7c6", "metadata": {}, "source": [ "- Here, we see the average format reward mimicking the average reward graph almost perfectly, which is a good sanity check that the conditional logic is working\n", "- Also, the average format reward shows how much of the total reward is coming from the format term on the subset of correct answers\n", "- As we can see though, since the average format reward graph echoes the average reward one, it's mainly a bonus (and it looks like it's always awarded if the model is correct; this makes sense, because the trained reasoning model already knows how to use `...` tags correctly (and we can see that it doesn't unlearn this ability)\n", "- The entropy increase is still a bit troubling, though, and could hint towards training instabilities that could potentially be addressed by other means (like tighter clipping with smaller `clip_eps`)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }