README.md

<img src="./fig2.png" width="400px"></img>

<img src="./fig1.png" width="400px"></img>

## Titans - Pytorch

Unofficial implementation of [Titans](https://arxiv.org/abs/2501.00663) in Pytorch. Will also contain some explorations into architectures beyond their simple 1-4 layer MLP for the neural memory module, if it works well to any degree.

[Paper review by Yannic](https://www.youtube.com/watch?v=v67plFw1nMw)

[Quick Colab Run](https://colab.research.google.com/drive/11cGgSABykte3qbK-hjzPgLif3-9UUejm?usp=sharing)

## Appreciation

- [Eryk](https://github.com/sentialx) for sharing his early experimental results with me, positive for 2 layer MLP

## Install

```bash
$ pip install titans-pytorch
```

## Usage

```python
import torch
from titans_pytorch import NeuralMemory

mem = NeuralMemory(
    dim = 384,
    chunk_size = 64 # set to smaller chunk size for better perf on smaller sequence lengths (but more memory usage)
).cuda()

seq = torch.randn(2, 1024, 384).cuda()
retrieved, mem_state = mem(seq)

assert seq.shape == retrieved.shape
```

A transformer with the `MAC` configuration can be used as

```python
import torch
from titans_pytorch import MemoryAsContextTransformer

transformer = MemoryAsContextTransformer(
    num_tokens = 256,
    dim = 256,
    depth = 2,
    segment_len = 128,              # local attention window size
    num_persist_mem_tokens = 4,
    num_longterm_mem_tokens = 16,
)

token_ids = torch.randint(0, 256, (1, 1023))

loss = transformer(token_ids, return_loss = True) # (1, 1023, 256)
loss.backward()

# after much training

sampled = transformer.sample(token_ids[:, :4], 512)
```

## Experiments

```bash
$ pip install uv
```

Then modify `train_mac.py` and run it to query nature

```bash
$ uv run train_mac.py
```

## Citations

```bibtex
@inproceedings{Behrouz2024TitansLT,
    title   = {Titans: Learning to Memorize at Test Time},
    author  = {Ali Behrouz and Peilin Zhong and Vahab S. Mirrokni},
    year    = {2024},
    url     = {https://api.semanticscholar.org/CorpusID:275212078}
}
```

```bibtex
@article{Sun2024LearningT,
    title   = {Learning to (Learn at Test Time): RNNs with Expressive Hidden States},
    author  = {Yu Sun and Xinhao Li and Karan Dalal and Jiarui Xu and Arjun Vikram and Genghan Zhang and Yann Dubois and Xinlei Chen and Xiaolong Wang and Oluwasanmi Koyejo and Tatsunori Hashimoto and Carlos Guestrin},
    journal = {ArXiv},
    year    = {2024},
    volume  = {abs/2407.04620},
    url     = {https://api.semanticscholar.org/CorpusID:271039606}
}
```

```bibtex
@inproceedings{Yang2024GatedDN,
    title   = {Gated Delta Networks: Improving Mamba2 with Delta Rule},
    author  = {Songlin Yang and Jan Kautz and Ali Hatamizadeh},
    year    = {2024},
    url     = {https://api.semanticscholar.org/CorpusID:274598177}
}
```

```bibtex
@inproceedings{Nguyen2024TurningUT,
    title   = {Turning Up the Heat: Min-p Sampling for Creative and Coherent LLM Outputs},
    author  = {Minh Nguyen and Andrew Baker and Clement Neo and Allen Roush and Andreas Kirsch and Ravid Shwartz-Ziv},
    year    = {2024},
    url     = {https://api.semanticscholar.org/CorpusID:270870613}
}
```

```bibtex
@article{Zhu2024HyperConnections,
    title   = {Hyper-Connections},
    author  = {Defa Zhu and Hongzhi Huang and Zihao Huang and Yutao Zeng and Yunyao Mao and Banggu Wu and Qiyang Min and Xun Zhou},
    journal = {ArXiv},
    year    = {2024},
    volume  = {abs/2409.19606},
    url     = {https://api.semanticscholar.org/CorpusID:272987528}
}
```

```bibtex
@article{Zhou2024ValueRL,
    title   = {Value Residual Learning For Alleviating Attention Concentration In Transformers},
    author  = {Zhanchao Zhou and Tianyi Wu and Zhiyun Jiang and Zhenzhong Lan},
    journal = {ArXiv},
    year    = {2024},
    volume  = {abs/2410.17897},
    url     = {https://api.semanticscholar.org/CorpusID:273532030}
}
```

```bibtex
@software{Kyrylov_Accelerated_Scan_2024,
    author  = {Kyrylov, Volodymyr},
    doi     = {10.5281/zenodo.10600962},
    title   = {Accelerated Scan},
    version = {0.1.2},
    year    = {2024}
}
```

```bibtex
@misc{wang2025testtimeregressionunifyingframework,
    title   = {Test-time regression: a unifying framework for designing sequence models with associative memory},
    author  = {Ke Alexander Wang and Jiaxin Shi and Emily B. Fox},
    year    = {2025},
    eprint  = {2501.12352},
    archivePrefix = {arXiv},
    primaryClass = {cs.LG},
    url     = {https://arxiv.org/abs/2501.12352},
}
```

```bibtex
@misc{jordan2024muon,
    author  = {Keller Jordan and Yuchen Jin and Vlado Boza and Jiacheng You and
                    Franz Cesista and Laker Newhouse and Jeremy Bernstein},
    title   = {Muon: An optimizer for hidden layers in neural networks},
    year    = {2024},
    url     = {https://kellerjordan.github.io/posts/muon/}
}
```

```bibtex
@inproceedings{Zhang2025TestTimeTD,
    title   = {Test-Time Training Done Right},
    author  = {Tianyuan Zhang and Sai Bi and Yicong Hong and Kai Zhang and Fujun Luan and Songlin Yang and Kalyan Sunkavalli and William T. Freeman and Hao Tan},
    year    = {2025},
    url     = {https://api.semanticscholar.org/CorpusID:279071244}
}
```

```bibtex
@inproceedings{Behrouz2025ATLASLT,
    title  = {ATLAS: Learning to Optimally Memorize the Context at Test Time},
    author = {Ali Behrouz and Ze-Minghui Li and Praneeth Kacham and Majid Daliri and Yuan Deng and Peilin Zhong and Meisam Razaviyayn and Vahab S. Mirrokni},
    year   = {2025},
    url    = {https://api.semanticscholar.org/CorpusID:278996373}
}
```