PonderLM-2-Pythia-410m
Pythia-410m architecture pretrained with PonderLM-2, the method introduced in PonderLM-2: Pretraining LLM with Latent Thoughts in Continuous Space (ICML 2026 Spotlight).
TL;DR. Chain-of-Thought scales test-time compute by generating extra tokens. PonderLM-2 does the same at pretraining time, but in continuous space: before predicting each next token the model first emits a few latent thoughts — extra last-hidden-state vectors — and feeds them back into itself.
vanilla: x₁ ──► x₂ ──► x₃ ──► x₄
PonderLM-2: x₁ ──► z₁ ──► x₂ ──► z₂ ──► x₃ ──► z₃ ──► x₄ ──► z₄
z_i = latent thought emitted before predicting x_{i+1}
- Code: LUMIA-Group/PonderLM-2
- Paper: arXiv:2509.23184
- Sibling checkpoint:
zeng123/PonderLM-2-Pythia-1.4b
Usage
The model ships with a custom modeling_gpt_neox.py that runs the
pondering forward pass. Loading via AutoModelForCausalLM requires
trust_remote_code=True:
import torch
from transformers import AutoTokenizer, AutoModelForCausalLM
ckpt = "zeng123/PonderLM-2-Pythia-410m"
tok = AutoTokenizer.from_pretrained(ckpt)
model = AutoModelForCausalLM.from_pretrained(
ckpt,
torch_dtype=torch.bfloat16,
trust_remote_code=True,
).cuda()
prompt = "The mitochondria is "
out = model.generate(
**tok(prompt, return_tensors="pt").to(model.device),
max_new_tokens=64,
use_cache=True,
)
print(tok.decode(out[0], skip_special_tokens=True))
Model details
| Architecture | GPT-NeoX (Pythia family) |
| Parameters | 410 M |
| Hidden size | 1024 |
| Layers | 24 |
| Attention heads | 16 |
| Context length | 2048 |
| Vocabulary | 50 304 |
| Tokenizer | GPT-NeoX BPE (same as Pythia) |
| Precision | BF16 |
Citation
@article{zeng2025ponderlm,
title={Ponderlm-2: Pretraining llm with latent thoughts in continuous space},
author={Zeng, Boyi and Li, He and Song, Shixiang and Wang, Yixuan and Wang, Zitong and He, Ziwei and Wang, Xinbing and Lin, Zhouhan},
journal={arXiv preprint arXiv:2509.23184},
year={2025}
}
Acknowledgements
Built on top of the Pythia training stack and LLaMA-Factory. The PonderLM baseline implementation is adapted from LUMIA-Group/PonderingLM.