Bridging Autoregressive and Diffusion Models for Robust Sequence Generation

Exploring a novel framework that unites autoregressive and diffusion-based approaches with hyperschedules, hybrid noising, and an adaptive correction sampler for superior sequence generation.

Introduction

Recent advances in sequence generation have largely focused on two dominant paradigms: the efficiency of autoregressive (AR) models (e.g., GPT [1]) and the robust, iterative refinement of diffusion-based models [2]. However, each approach has its limitations—AR models propagate errors without revision, while diffusion models, despite their error-correcting capabilities, suffer from slower inference. In this post, we present our unified framework that combines the strengths of both paradigms through innovative techniques such as hyperschedules, hybrid noising, and an Adaptive Correction Sampler (ACS). By incorporating additional insights from our full paper and the corresponding appendix, we aim to deliver a comprehensive guide that takes roughly 15 minutes to read.

Background & Motivation

Autoregressive models (e.g., GPT [1]) generate text one token at a time, offering low latency but with the inherent risk of cumulative errors. Diffusion models, in contrast, iteratively refine noisy inputs to correct errors—albeit at a higher computational cost [2]. Our work bridges these two strategies, allowing for dynamic correction mechanisms and improved overall generation efficiency. This unification not only mitigates the shortcomings of each paradigm but also opens up new avenues for practical applications.

The Unified Framework

Our approach introduces a continuum between traditional autoregressive decoding and iterative diffusion through:

Hyperschedules

Standard diffusion models apply a uniform noise level across tokens. In our approach, hyperschedules assign a unique schedule to each token position, enabling a balance between the rigid structure of AR generation and the adaptability of diffusion. Our experiments (see Figure 1) highlight various designs—including “Quenched AR,” “Flat,” “Block,” and “Slide Annealing”—each with its own trade-offs in performance and efficiency.

Hyperschedule Examples
Figure 1: Various hyperschedule designs that customize noise levels per token, bridging AR and diffusion generation.

Hybrid Noising Processes

To harness the benefits of both masking and randomness, we introduce a hybrid noising process:

We explore two variants:

This combined strategy (illustrated in Figure 2) trains the model to progressively correct its own errors during sequence generation.

Hybrid Noising Illustration
Figure 2: Controlled hybrid noising that integrates token masking with random perturbations to enable effective error correction [3,4].

Adaptive Correction Sampler (ACS)

Traditional AR models do not allow revisiting earlier decisions. Our Adaptive Correction Sampler (ACS) breaks this limitation by iteratively refining token outputs. ACS leverages model confidence to adjust past predictions, ensuring minor mistakes do not cascade into major errors over the entire sequence. This iterative sampling is particularly valuable for generating longer and more coherent sequences.

Experimental Evaluation

We evaluated our unified models on benchmarks including WikiText, Lambada, Pubmed, and ArXiv. The key experimental findings are:

Method WikiText Lambada Pubmed Arxiv
Transformer (Sahoo et al.) 25.8 51.3 49.0 41.7
SEDD (Lou et al.) 36.0 48.9 45.4 40.0
MDLM (Sahoo et al.) 33.2 48.3 43.1 37.9
BD3-LM (Arriola et al.) 31.3 50.0 42.5 39.2
γ-Hybrid (Ours) 30.0 45.4 46.6 40.6
ε-Hybrid (Ours) 32.5 50.2 41.2 37.8
Table 1: Comparative performance across benchmarks. Bold indicates the best results [3–5].
Quality-Diversity Trade-offs
Figure 3: Analysis of perplexity versus MAUVE scores showing enhanced quality-diversity trade-offs in our hybrid configurations [3,4].

Efficiency via Attention Masks

An integral part of our framework is optimizing computational efficiency through advanced attention mechanisms. Our attention design leverages:

This design supports two distinct inference modes:

Additionally, Figure 6 demonstrates the training attention mask that effectively partitions tokens, contributing to significant improvements in efficiency.

Attention Mask: Aligned Configuration
Figure 4: Aligned attention configuration that enables efficient KV-caching in the model [6].
Attention Mask: Shifted Configuration
Figure 5: Shifted attention configuration suited for autoregressive generation [6].
Training Attention Mask
Figure 6: Example training attention mask partitioning tokens into settled, active, and worthless groups [6].

Conclusion and Future Work

By unifying the autoregressive and diffusion paradigms through hyperschedules, hybrid noising, and our Adaptive Correction Sampler (ACS), we demonstrate significant improvements in both sequence fluency and computational efficiency. Our flexible approach supports diverse inference strategies—from masked token predictions to autoregressive generation—paving the way for novel applications and further research.

Future Research Directions:

For further details, please refer to our full paper on arXiv.

Stay tuned for more updates as we continue to push the boundaries of sequence generation!

Table of Figures

Figure No. Title Description
1 Hyperschedules Shows various hyperschedule designs that customize noise levels per token.
2 Hybrid Noising Depicts the hybrid noising process integrating token masking and random perturbations [3,4].
3 Quality-Diversity Trade-offs Compares perplexity and MAUVE scores to demonstrate improved quality-diversity trade-offs [3,4].
4 Transformer (Aligned) Visualizes the aligned attention mask configuration that leverages KV-caching [6].
5 Transformer (Shifted) Shows the shifted attention configuration suited for autoregressive generation [6].
6 Training Attention Mask Demonstrates token partitioning during training into settled, active, and worthless tokens [6].

References

  1. Radford, A., et al. (2019). Language Models are Unsupervised Multitask Learners. OpenAI.
  2. Ho, J., Jain, A., & Abbeel, P. (2020). Denoising Diffusion Probabilistic Models. Advances in Neural Information Processing Systems.
  3. Lou, et al. Discrete Diffusion Modeling by Estimating the Ratios of the Data Distribution International Conference on Machine Learning.
  4. Sahoo, et al. Simple and Effective Masked Diffusion Language Models. Conference on Neural Information Processing Systems.
  5. Arriola, et al. Block Diffusion: Interpolating Between Autoregressive and Diffusion Language Models International Conference on Learning Representations.
  6. Vaswani, A., et al. (2017). Attention Is All You Need. Advances in Neural Information Processing Systems.