Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
102 tokens/sec
GPT-4o
59 tokens/sec
Gemini 2.5 Pro Pro
43 tokens/sec
o3 Pro
6 tokens/sec
GPT-4.1 Pro
50 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Explaining Modern Gated-Linear RNNs via a Unified Implicit Attention Formulation (2405.16504v2)

Published 26 May 2024 in cs.LG

Abstract: Recent advances in efficient sequence modeling have led to attention-free layers, such as Mamba, RWKV, and various gated RNNs, all featuring sub-quadratic complexity in sequence length and excellent scaling properties, enabling the construction of a new type of foundation models. In this paper, we present a unified view of these models, formulating such layers as implicit causal self-attention layers. The formulation includes most of their sub-components and is not limited to a specific part of the architecture. The framework compares the underlying mechanisms on similar grounds for different layers and provides a direct means for applying explainability methods. Our experiments show that our attention matrices and attribution method outperform an alternative and a more limited formulation that was recently proposed for Mamba. For the other architectures for which our method is the first to provide such a view, our method is effective and competitive in the relevant metrics compared to the results obtained by state-of-the-art Transformer explainability methods. Our code is publicly available.

Unified Implicit Attention Representation for Efficient Sequence Models

The paper provides a sophisticated framework that unifies various non-transformer sequence models, traditionally considered distinct, under the umbrella of implicit causal self-attention. This unique perspective allows for a comprehensive comparison of these models’ underlying mechanisms and enhances their interpretability through the application of explainability methods.

Introduction

Recent advances in efficient sequence modeling have led to several attention-free models such as Mamba, RWKV, and different gated RNNs, all characterized by sub-quadratic complexity in sequence length. These models have exhibited impressive scaling properties, making them viable candidates for constructing new foundation models. Despite their distinct architectures, these models share common features that can be represented using implicit causal self-attention layers. This paper introduces a unified framework for these models, allowing for a detailed comparison and providing new methods for model interpretability.

Attention-Free Models and Implicit Attention

Mamba and Selective State Space Models (SSMs)

The Mamba model, a recent state space model (SSM), stands out due to its autoregressive inference, convolution-based efficient training, and the implicit computation of attention. Unlike earlier SSMs where operators are data-independent, Mamba's selective SSM (S6) layers operate with an attention-like mechanism where the mixing coefficients depend on both the input data and model parameters.

The core of the Mamba architecture can be reformulated as a data-control linear operator. By incorporating layers like Conv1D and SiLU activations, the implicit attention representation of Mamba enhances model interpretability, outperforming previous methods through improved explainability results demonstrated in computer vision and NLP tasks.

RWKV and Gated Linear RNNs

RWKV and other gated linear RNNs have shown strong performance in LLMing by capturing long-range dependencies more effectively than traditional transformers. The RWKV model, for instance, employs a mixing block containing the WKV operator, a gating mechanism, and a token shift. By representing these components through data-control linear operators, the implicit attention matrices for RWKV can be derived, providing a similar level of interpretability to that of transformer models.

Methodology

The paper’s methodology involves formalizing various components of the sequence models as data-control linear operators, thereby synthesizing a unified attention framework. For Mamba, this involves combining the S6 layer’s mechanism with Conv1D and gating operations into a single attention matrix formulation. Similarly, Griffin’s architecture is reduced to its temporal mixing block, encapsulating its recurrent units and convolution operations via an implicit attention representation. RWKV achieves this through its unique WKV operator, which is also reformulated into an attention-like mechanism.

Experiments and Results

Visualization and Comparison of Attention Matrices:

The authors present comparative visualizations of attention matrices derived from Mamba, RWKV, Griffin, and traditional transformer models. These visualizations reveal that the implicit attention representations of non-transformer models exhibit structural similarities to those of transformers. Specifically, the attention matrices of Mamba and Griffin demonstrate clear and discernible patterns, which align with the traditional attention mechanisms used in transformers.

Explainability and Interpretability:

The unified attention framework significantly enhances the interpretability of these models. Explanation methods such as raw attention, attention rollout, and attribution techniques show that the implicit attention matrices yield more precise and insightful explanations compared to previous methods. Experiments on both vision (ImageNet-Segmentation) and NLP (IMDB Sentiment Classification) benchmarks underscore the efficacy of this framework in generating high-quality attention maps and improving weakly supervised tasks.

Segmentation and Perturbation Tests:

In segmentation tasks, the paper demonstrates that the proposed implicit attention mechanism outperforms traditional transformers and existing methods, achieving higher scores across metrics like pixel accuracy, mean Intersection-over-Union (mIoU), and mean Average Precision (mAP). Perturbation tests further validate the faithfulness of the explanations, showing superior performance in both positive and negative perturbation scenarios.

Implications and Future Work

The implications of this research are manifold:

  1. Practical Applications: The proposed framework enhances the interpretability of recent non-transformer models, aiding in tasks such as robustness, bias detection, fairness, and safety in AI models.
  2. Comparative Analysis: By offering a unified view, the framework facilitates comparisons between diverse sequence models, opening avenues for hybrid models that combine the strengths of different architectures.

Future work aims to extend this framework to incorporate additional layers like Hyena and HGRN2, particularly in their vision-specific variants. Further examination of these unified attention matrices might reveal deeper insights into the inductive biases and unique characteristics of each model architecture.

Conclusion

This paper presents a robust and innovative approach to represent a diverse set of sequence models through implicit causal self-attention. By unifying these models under a common framework, it not only enhances their interpretability but also sets the stage for future explorations in model improvements and hybrid architectures. The research provides the AI community with powerful tools to analyze, understand, and improve the robustness and fairness of modern sequence models.

User Edit Pencil Streamline Icon: https://streamlinehq.com
Authors (3)
  1. Itamar Zimerman (17 papers)
  2. Ameen Ali (10 papers)
  3. Lior Wolf (217 papers)
Github Logo Streamline Icon: https://streamlinehq.com