cs224r-default-project-ipo

IPO (Inverse Preference Optimization) fine-tuned model for the Countdown arithmetic reasoning task, built on top of an SFT baseline. Trained as part of Stanford CS224R (Spring 2026).

Model Description

This model is preference-tuned using IPO on pairwise chosen/rejected completions for Countdown problems. Given a target number and a set of allowed numbers, the model produces chain-of-thought reasoning inside <think> tags and a final answer inside <answer> tags.

Training Details

Hyperparameter Value
Base model ba144220/cs224r-default-project-sft (SFT-tuned Qwen2.5-0.5B)
Dataset asingh15/countdown_tasks_3to4-dpo
Loss type IPO
Beta 0.1
Epochs 1
Learning rate 5e-6
LR schedule Cosine with 5% warmup
Batch size 64 (gradient accumulation = 16)
Weight decay 0.01
Precision bfloat16
Gradient checkpointing Enabled
Hardware 1x NVIDIA H100 (Modal)
Max prompt length 512
Max response length 1024

Evaluation

Evaluated on asingh15/countdown_tasks_3to4 test split (40 prompts) using vLLM with temperature 0.6, top-k 20, top-p 0.95, sampling K=16 responses per prompt.

Metric SFT Baseline IPO (this model)
Average Score 0.3660 0.4080
Pass@1 0.30 0.375
Pass@16 0.75 (30/40) 0.75 (30/40)
Correct (score=1.0) 244/800 287/800

Usage

from transformers import AutoModelForCausalLM, AutoTokenizer

model = AutoModelForCausalLM.from_pretrained("ba144220/cs224r-default-project-ipo")
tokenizer = AutoTokenizer.from_pretrained("ba144220/cs224r-default-project-ipo")

messages = [{"role": "user", "content": "Using the numbers [3, 4, 6, 8], create an equation that equals 24."}]
input_text = tokenizer.apply_chat_template(messages, add_generation_prompt=True, tokenize=False)
inputs = tokenizer(input_text, return_tensors="pt").to(model.device)

outputs = model.generate(**inputs, max_new_tokens=1024, temperature=0.6, top_k=20, top_p=0.95, do_sample=True)
print(tokenizer.decode(outputs[0][inputs["input_ids"].shape[1]:], skip_special_tokens=True))

Limitations

  • Trained and evaluated only on the Countdown arithmetic task; not intended for general-purpose use.
  • Performance degrades on harder problems with more numbers or larger targets.
  • The 0.5B parameter size limits reasoning capacity compared to larger models.

Authors

Yuchi Hsu (yuchihsu@stanford.edu) and Ryan He (ryanhe@stanford.edu), Stanford CS224R Spring 2026.

Downloads last month
16
Safetensors
Model size
0.5B params
Tensor type
BF16
·
Inference Providers NEW
This model isn't deployed by any Inference Provider. 🙋 Ask for provider support

Model tree for ba144220/cs224r-default-project-ipo

Finetuned
(2)
this model

Dataset used to train ba144220/cs224r-default-project-ipo

Evaluation results