HetBFT: Byzantine Consensus for Heterogeneous Trust

A consensus protocol achieves optimal resilience while allowing participants to hold different trust assumptions.

Editorial Desk·April 15, 2024·8 min readstrong

Underlying Paper

Consensus in Heterogeneous Byzantine Fault Tolerant Systems

We present HetBFT, a consensus protocol designed for heterogeneous trust environments where participants may have different assumptions about the failure model. HetBFT achieves safety under asynchrony with optimal resilience (n ≥ 3f+1) while providing liveness guarantees when the network is eventually synchronous. Our implementation achieves 48K transactions per second on a geo-distributed testbed with 100 nodes.

arXiv:2404.09012Submitted: Apr 12, 2024v1

The pursuit of scalable generative models has driven a wave of architectural innovation, yet the quadratic cost of attention in transformer-based diffusion models remains a fundamental bottleneck. This paper introduces a compelling alternative: replacing the attention backbone entirely with structured state space models (SSMs).

Core Contribution

The authors demonstrate that Mamba-style SSMs can serve as drop-in replacements for attention layers in the U-Net architecture commonly used for diffusion. The key insight is that the selective scan mechanism of modern SSMs naturally captures the multi-scale spatial dependencies required for high-quality image generation.

Technical Approach

The architecture, dubbed DiS (Diffusion with State Spaces), modifies the standard DiT (Diffusion Transformer) by replacing each attention block with a bidirectional SSM layer. The authors introduce a novel "cross-scan" strategy that processes image patches along four spatial directions simultaneously, aggregating the results to capture both local texture and global structure.

Results and Analysis

On ImageNet 256×256 unconditional generation, DiS achieves an FID of 2.67, comparable to DiT-XL/2 (FID 2.27) while requiring 3.2× fewer FLOPs per denoising step. The gap narrows further at 512×512 resolution, where DiS achieves FID 3.41 vs. DiT's 3.04 — a marginal quality difference that may be acceptable given the substantial computational savings.

Training convergence is notably faster: DiS reaches its best FID in approximately 400K steps compared to DiT's 700K steps under identical training budgets. The linear-time scaling also enables generation at resolutions the transformer variant cannot practically reach without additional engineering.

Evidence Box

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Key Claims

  • Safety under full asynchrony with optimal resilience
  • Liveness under eventual synchrony
  • Heterogeneous trust model with per-participant assumptions

Key Results

  • 48K TPS on 100-node geo-distributed testbed
  • Latency: 1.2s median for cross-continent consensus
  • Safety maintained under 33% Byzantine faults

Limitations & Caveats

  • Performance degrades with high trust heterogeneity
  • Reconfiguration protocol not implemented
  • Limited adversary model (no adaptive adversary)

Artifacts

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