FloydNet

Official implementation of FloydNet.

This repository serves two audiences:

• Engineering users: Reusable PyTorch components (functional attention APIs and Transformer-style blocks) under src/.
• Research users: Scripts/configs to reproduce paper experiments (TSP, Graph Isomorphism, BREC) under example/.

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Introduction

FloydNet is the official PyTorch implementation. The repository provides:

1. Reusable components: a drop-in attention/Transformer-block interface intended for integration into existing projects.
2. Reproduction code: end-to-end training/evaluation pipelines to reproduce the benchmarks reported in the paper.

For algorithmic details, hyperparameter choices, and analysis, please refer to the paper.

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Repository Structure

• src/floydnet/
  Library code for reuse
  Contains the functional attention API and module/block implementations.

• example/
  Experiment reproduction code
  Includes benchmark-specific scripts, configs, and data preparation utilities.

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Installation

Option A: Install from PyPI

pip install floydnet

Option B: Install from source

git clone git@github.com:ocx-lab/FloydNet.git
cd FloydNet
pip install -e .

Requirements: Python >= 3.9, PyTorch >= 2.1 (see pyproject.toml).

Public API

FloydNet re-exports the public API from src/floydnet/__init__.py, so you can import from the top-level package:

• Functional API:
  • pivotal_attention (see src/floydnet/functional.py)
• Module / block API:
  • PivotalAttentionBlock (see src/floydnet/transformer.py)

from floydnet import pivotal_attention, PivotalAttentionBlock

Minimal usage example

import torch
from floydnet import pivotal_attention, PivotalAttentionBlock

# -------------------------
# Module API (Transformer-style block)
# Input is a 2D grid: (B, N, N, C)
# -------------------------
B, N, C = 2, 16, 64
x = torch.randn(B, N, N, C)

m = PivotalAttentionBlock(embed_dim=C, num_heads=8, dropout=0.0)
out = m(x)  # (B, N, N, C)
print(out.shape)

# -------------------------
# Functional API
# All inputs are 5D: (B, H, N, N, D)
# -------------------------
B, H, N, D = 2, 8, 16, 64
q_ik = torch.randn(B, H, N, N, D)
k_ij = torch.randn(B, H, N, N, D)
k_jk = torch.randn(B, H, N, N, D)
v_ij = torch.randn(B, H, N, N, D)
v_jk = torch.randn(B, H, N, N, D)

y = pivotal_attention(q_ik, k_ij, k_jk, v_ij, v_jk)  # (B, H, N, N, D)
print(y.shape)

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Reproducing Paper Results

This section targets research users who want to reproduce the experiments in the paper.

See example/README.md For detailed description.

Environment setup

We recommend using uv to create an isolated environment for the reproduction code under example/.

cd /path/to/FloydNet

# 1) Create a uv virtual environment with Python 3.12
uv venv --python 3.12

# 2) Activate it
source .venv/bin/activate

# 3) Install extra dependencies for reproducing paper experiments
uv pip install -r example/requirements.txt

# 4) Install FloydNet (editable) for local development / imports
uv pip install -e .

Changelog (latest)

• Added softmax_cap parameter to pivotal_attention3 for improved numerical stability.
• Added LRGB example script.

The full changelog is in CHANGELOG.md.

Citation

If you use this code in your research, please cite the paper:

@misc{yu2026floydnetlearningparadigmglobal,
      title={FloydNet: A Learning Paradigm for Global Relational Reasoning}, 
      author={Jingcheng Yu and Mingliang Zeng and Qiwei Ye},
      year={2026},
      eprint={2601.19094},
      archivePrefix={arXiv},
      primaryClass={cs.LG},
      url={https://arxiv.org/abs/2601.19094}, 

}

(Alternatively, see CITATION.cff.)

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License

This project is licensed under the Apache License 2.0. See LICENSE.