---
language: ko
license: apache-2.0
base_model: google/gemma-3-1b-it
tags:
- math
- korean
- sft
- gemma
- distillation
datasets:
- NotoriousH2/HRM8K
---

# Gemma-3-1B-IT Math SFT

`google/gemma-3-1b-it`를 한국어 수학 문제(GSM8K)에 대해 교사 증류 SFT한 모델.

## 성능

| Benchmark | Score |
|-----------|-------|
| HRM8K eval GSM8K (264문제, Korean) | **~44.9%** (3회 평균) |
| HRM8K eval MATH (577문제, Korean) | ~17% |

평가: temperature=0, vLLM 서빙, max_tokens=2048

## 데이터 생성 파이프라인

### 원본 데이터
- **GSM8K train set**: 영어 초등 수학 7,473문제 ([openai/gsm8k](https://huggingface.co/datasets/openai/gsm8k))
- **평가 데이터**: [HRM8K](https://huggingface.co/datasets/NotoriousH2/HRM8K) eval set 841문제 (GSM8K 264 + MATH 577, 한국어)

### 교사 모델
- **모델**:  (AWQ 4bit)
- **서빙**: vLLM 0.11.0 (구버전 필요, AWQ 호환), 
- **중요**: 이 교사 모델은 HRM8K 학습 데이터를 생성한 바로 그 모델. 다른 교사 모델(Qwen3.5-9B/35B 등)은 스타일 불일치로 -10%p 이상 성능 하락.

### 2단계 데이터 생성


### 최종 학습 데이터 형식

- 총 26,254개 (train 95% / eval 5% split)
- 시스템 프롬프트: 

## 학습 설정



## 재현 방법

INFO 03-19 14:51:58 [__init__.py:216] Automatically detected platform cuda.
(APIServer pid=3426235) INFO 03-19 14:52:04 [api_server.py:1839] vLLM API server version 0.11.0
(APIServer pid=3426235) INFO 03-19 14:52:04 [utils.py:233] non-default args: {'model_tag': 'cpatonn/Qwen3-30B-A3B-Instruct-2507-AWQ-4bit', 'port': 8001, 'model': 'cpatonn/Qwen3-30B-A3B-Instruct-2507-AWQ-4bit', 'max_model_len': 4096, 'gpu_memory_utilization': 0.8}
(APIServer pid=3426235) INFO 03-19 14:52:06 [model.py:547] Resolved architecture: Qwen3MoeForCausalLM
(APIServer pid=3426235) INFO 03-19 14:52:06 [model.py:1510] Using max model len 4096
(APIServer pid=3426235) INFO 03-19 14:52:07 [scheduler.py:205] Chunked prefill is enabled with max_num_batched_tokens=8192.
INFO 03-19 14:52:19 [__init__.py:216] Automatically detected platform cuda.
(EngineCore_DP0 pid=3426796) INFO 03-19 14:52:25 [core.py:644] Waiting for init message from front-end.
(EngineCore_DP0 pid=3426796) INFO 03-19 14:52:25 [core.py:77] Initializing a V1 LLM engine (v0.11.0) with config: model='cpatonn/Qwen3-30B-A3B-Instruct-2507-AWQ-4bit', speculative_config=None, tokenizer='cpatonn/Qwen3-30B-A3B-Instruct-2507-AWQ-4bit', skip_tokenizer_init=False, tokenizer_mode=auto, revision=None, tokenizer_revision=None, trust_remote_code=False, dtype=torch.bfloat16, max_seq_len=4096, download_dir=None, load_format=auto, tensor_parallel_size=1, pipeline_parallel_size=1, data_parallel_size=1, disable_custom_all_reduce=False, quantization=compressed-tensors, enforce_eager=False, kv_cache_dtype=auto, device_config=cuda, structured_outputs_config=StructuredOutputsConfig(backend='auto', disable_fallback=False, disable_any_whitespace=False, disable_additional_properties=False, reasoning_parser=''), observability_config=ObservabilityConfig(show_hidden_metrics_for_version=None, otlp_traces_endpoint=None, collect_detailed_traces=None), seed=0, served_model_name=cpatonn/Qwen3-30B-A3B-Instruct-2507-AWQ-4bit, enable_prefix_caching=True, chunked_prefill_enabled=True, pooler_config=None, compilation_config={"level":3,"debug_dump_path":"","cache_dir":"","backend":"","custom_ops":[],"splitting_ops":["vllm.unified_attention","vllm.unified_attention_with_output","vllm.mamba_mixer2","vllm.mamba_mixer","vllm.short_conv","vllm.linear_attention","vllm.plamo2_mamba_mixer","vllm.gdn_attention","vllm.sparse_attn_indexer"],"use_inductor":true,"compile_sizes":[],"inductor_compile_config":{"enable_auto_functionalized_v2":false},"inductor_passes":{},"cudagraph_mode":[2,1],"use_cudagraph":true,"cudagraph_num_of_warmups":1,"cudagraph_capture_sizes":[512,504,496,488,480,472,464,456,448,440,432,424,416,408,400,392,384,376,368,360,352,344,336,328,320,312,304,296,288,280,272,264,256,248,240,232,224,216,208,200,192,184,176,168,160,152,144,136,128,120,112,104,96,88,80,72,64,56,48,40,32,24,16,8,4,2,1],"cudagraph_copy_inputs":false,"full_cuda_graph":false,"use_inductor_graph_partition":false,"pass_config":{},"max_capture_size":512,"local_cache_dir":null}
[Gloo] Rank 0 is connected to 0 peer ranks. Expected number of connected peer ranks is : 0
[Gloo] Rank 0 is connected to 0 peer ranks. Expected number of connected peer ranks is : 0
[Gloo] Rank 0 is connected to 0 peer ranks. Expected number of connected peer ranks is : 0
[Gloo] Rank 0 is connected to 0 peer ranks. Expected number of connected peer ranks is : 0
[Gloo] Rank 0 is connected to 0 peer ranks. Expected number of connected peer ranks is : 0
[Gloo] Rank 0 is connected to 0 peer ranks. Expected number of connected peer ranks is : 0
(EngineCore_DP0 pid=3426796) INFO 03-19 14:52:26 [parallel_state.py:1208] rank 0 in world size 1 is assigned as DP rank 0, PP rank 0, TP rank 0, EP rank 0
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708] EngineCore failed to start.
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708] Traceback (most recent call last):
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]   File "/tmp/.venv/lib/python3.12/site-packages/vllm/v1/engine/core.py", line 699, in run_engine_core
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]     engine_core = EngineCoreProc(*args, **kwargs)
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]                   ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]   File "/tmp/.venv/lib/python3.12/site-packages/vllm/v1/engine/core.py", line 498, in __init__
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]     super().__init__(vllm_config, executor_class, log_stats,
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]   File "/tmp/.venv/lib/python3.12/site-packages/vllm/v1/engine/core.py", line 83, in __init__
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]     self.model_executor = executor_class(vllm_config)
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]                           ^^^^^^^^^^^^^^^^^^^^^^^^^^^
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]   File "/tmp/.venv/lib/python3.12/site-packages/vllm/executor/executor_base.py", line 54, in __init__
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]     self._init_executor()
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]   File "/tmp/.venv/lib/python3.12/site-packages/vllm/executor/uniproc_executor.py", line 54, in _init_executor
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]     self.collective_rpc("init_device")
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]   File "/tmp/.venv/lib/python3.12/site-packages/vllm/executor/uniproc_executor.py", line 83, in collective_rpc
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]     return [run_method(self.driver_worker, method, args, kwargs)]
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]             ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]   File "/tmp/.venv/lib/python3.12/site-packages/vllm/utils/__init__.py", line 3122, in run_method
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]     return func(*args, **kwargs)
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]            ^^^^^^^^^^^^^^^^^^^^^
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]   File "/tmp/.venv/lib/python3.12/site-packages/vllm/worker/worker_base.py", line 259, in init_device
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]     self.worker.init_device()  # type: ignore
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]     ^^^^^^^^^^^^^^^^^^^^^^^^^
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]   File "/tmp/.venv/lib/python3.12/site-packages/vllm/v1/worker/gpu_worker.py", line 187, in init_device
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708]     raise ValueError(
(EngineCore_DP0 pid=3426796) ERROR 03-19 14:52:26 [core.py:708] ValueError: Free memory on device (7.29/93.1 GiB) on startup is less than desired GPU memory utilization (0.8, 74.48 GiB). Decrease GPU memory utilization or reduce GPU memory used by other processes.
INFO 03-19 14:52:34 [__init__.py:216] Automatically detected platform cuda.
(APIServer pid=3427292) INFO 03-19 14:52:40 [api_server.py:1839] vLLM API server version 0.11.0
(APIServer pid=3427292) INFO 03-19 14:52:40 [utils.py:233] non-default args: {'model_tag': './outputs/models/c17d-gemma-3-1b-it-Math', 'model': './outputs/models/c17d-gemma-3-1b-it-Math', 'dtype': 'bfloat16', 'max_model_len': 4096, 'gpu_memory_utilization': 0.85}
(APIServer pid=3427292) INFO 03-19 14:52:51 [model.py:547] Resolved architecture: Gemma3ForCausalLM
(APIServer pid=3427292) INFO 03-19 14:52:51 [model.py:1510] Using max model len 4096
(APIServer pid=3427292) INFO 03-19 14:52:51 [scheduler.py:205] Chunked prefill is enabled with max_num_batched_tokens=8192.
INFO 03-19 14:52:58 [__init__.py:216] Automatically detected platform cuda.
(EngineCore_DP0 pid=3428117) INFO 03-19 14:53:03 [core.py:644] Waiting for init message from front-end.
(EngineCore_DP0 pid=3428117) INFO 03-19 14:53:03 [core.py:77] Initializing a V1 LLM engine (v0.11.0) with config: model='./outputs/models/c17d-gemma-3-1b-it-Math', speculative_config=None, tokenizer='./outputs/models/c17d-gemma-3-1b-it-Math', skip_tokenizer_init=False, tokenizer_mode=auto, revision=None, tokenizer_revision=None, trust_remote_code=False, dtype=torch.bfloat16, max_seq_len=4096, download_dir=None, load_format=auto, tensor_parallel_size=1, pipeline_parallel_size=1, data_parallel_size=1, disable_custom_all_reduce=False, quantization=None, enforce_eager=False, kv_cache_dtype=auto, device_config=cuda, structured_outputs_config=StructuredOutputsConfig(backend='auto', disable_fallback=False, disable_any_whitespace=False, disable_additional_properties=False, reasoning_parser=''), observability_config=ObservabilityConfig(show_hidden_metrics_for_version=None, otlp_traces_endpoint=None, collect_detailed_traces=None), seed=0, served_model_name=./outputs/models/c17d-gemma-3-1b-it-Math, enable_prefix_caching=True, chunked_prefill_enabled=True, pooler_config=None, compilation_config={"level":3,"debug_dump_path":"","cache_dir":"","backend":"","custom_ops":[],"splitting_ops":["vllm.unified_attention","vllm.unified_attention_with_output","vllm.mamba_mixer2","vllm.mamba_mixer","vllm.short_conv","vllm.linear_attention","vllm.plamo2_mamba_mixer","vllm.gdn_attention","vllm.sparse_attn_indexer"],"use_inductor":true,"compile_sizes":[],"inductor_compile_config":{"enable_auto_functionalized_v2":false},"inductor_passes":{},"cudagraph_mode":[2,1],"use_cudagraph":true,"cudagraph_num_of_warmups":1,"cudagraph_capture_sizes":[512,504,496,488,480,472,464,456,448,440,432,424,416,408,400,392,384,376,368,360,352,344,336,328,320,312,304,296,288,280,272,264,256,248,240,232,224,216,208,200,192,184,176,168,160,152,144,136,128,120,112,104,96,88,80,72,64,56,48,40,32,24,16,8,4,2,1],"cudagraph_copy_inputs":false,"full_cuda_graph":false,"use_inductor_graph_partition":false,"pass_config":{},"max_capture_size":512,"local_cache_dir":null}
[Gloo] Rank 0 is connected to 0 peer ranks. Expected number of connected peer ranks is : 0
[Gloo] Rank 0 is connected to 0 peer ranks. Expected number of connected peer ranks is : 0
[Gloo] Rank 0 is connected to 0 peer ranks. Expected number of connected peer ranks is : 0
[Gloo] Rank 0 is connected to 0 peer ranks. Expected number of connected peer ranks is : 0
[Gloo] Rank 0 is connected to 0 peer ranks. Expected number of connected peer ranks is : 0
[Gloo] Rank 0 is connected to 0 peer ranks. Expected number of connected peer ranks is : 0
(EngineCore_DP0 pid=3428117) INFO 03-19 14:53:05 [parallel_state.py:1208] rank 0 in world size 1 is assigned as DP rank 0, PP rank 0, TP rank 0, EP rank 0
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708] EngineCore failed to start.
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708] Traceback (most recent call last):
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]   File "/tmp/.venv/lib/python3.12/site-packages/vllm/v1/engine/core.py", line 699, in run_engine_core
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]     engine_core = EngineCoreProc(*args, **kwargs)
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]                   ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]   File "/tmp/.venv/lib/python3.12/site-packages/vllm/v1/engine/core.py", line 498, in __init__
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]     super().__init__(vllm_config, executor_class, log_stats,
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]   File "/tmp/.venv/lib/python3.12/site-packages/vllm/v1/engine/core.py", line 83, in __init__
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]     self.model_executor = executor_class(vllm_config)
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]                           ^^^^^^^^^^^^^^^^^^^^^^^^^^^
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]   File "/tmp/.venv/lib/python3.12/site-packages/vllm/executor/executor_base.py", line 54, in __init__
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]     self._init_executor()
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]   File "/tmp/.venv/lib/python3.12/site-packages/vllm/executor/uniproc_executor.py", line 54, in _init_executor
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]     self.collective_rpc("init_device")
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]   File "/tmp/.venv/lib/python3.12/site-packages/vllm/executor/uniproc_executor.py", line 83, in collective_rpc
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]     return [run_method(self.driver_worker, method, args, kwargs)]
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]             ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]   File "/tmp/.venv/lib/python3.12/site-packages/vllm/utils/__init__.py", line 3122, in run_method
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]     return func(*args, **kwargs)
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]            ^^^^^^^^^^^^^^^^^^^^^
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]   File "/tmp/.venv/lib/python3.12/site-packages/vllm/worker/worker_base.py", line 259, in init_device
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]     self.worker.init_device()  # type: ignore
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]     ^^^^^^^^^^^^^^^^^^^^^^^^^
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]   File "/tmp/.venv/lib/python3.12/site-packages/vllm/v1/worker/gpu_worker.py", line 187, in init_device
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708]     raise ValueError(
(EngineCore_DP0 pid=3428117) ERROR 03-19 14:53:05 [core.py:708] ValueError: Free memory on device (7.29/93.1 GiB) on startup is less than desired GPU memory utilization (0.85, 79.13 GiB). Decrease GPU memory utilization or reduce GPU memory used by other processes.

## 파일
- : SFT 학습 스크립트
- : HRM8K 평가 스크립트 (vLLM OpenAI API 호환 서버 필요)