mlsanityData to 14 Oct 2026

More Expressive Feedforward Layers: Part I. Token-Adaptive Mixing of Activations

arXiv 2605.26647 ↗First posted 26 May 2026cs.LG cs.AI stat.MLcited by 3

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Abstract (arXiv)

Feedforward network (FFN) layers account for a large fraction of parameters and nonlinear expressivity in Transformer-based large language models (LLMs). Despite the evolution from ReLU and GELU to gated variants such as SwiGLU, most FFN designs still use a single fixed activation function, applying the same nonlinear transformation to all tokens. In this work, we propose Mixture of Activations (MoA), a token-adaptive FFN design that mixes a dictionary of activation functions using lightweight input-dependent gates while sharing the same linear projections. As an input-independent counterpart, we also introduce learnable activations (LA), which form linear combinations of activation functions for both ReLU-type and SwiGLU-type FFNs. Theoretically, we establish strict finite-width expressive separations among fixed-activation FFNs, LA, and MoA: LA strictly contains fixed-activation FFNs, while MoA strictly contains LA, with the additional expressivity arising from input-dependent nonlinear hybridization. Empirically, we evaluate MoA through extensive pre-training experiments on dense and MoE language models ranging from 0.12B to 2B parameters under different token budgets, optimizers, and learning rate schedules. MoA consistently achieves lower terminal loss and exhibits more favorable scaling behavior than well-tuned baselines, with minimal parameter and computational overhead. These results suggest that token-adaptive activation mixing is a simple and effective mechanism for improving FFN expressivity in LLMs.

Key facts. Cited by 3 papers in the map (data through 14 Oct 2026). Builds on 35 of its 47 references that are in the map. First posted on arXiv 26 May 2026.

Builds on

35 of 47 references.

References · 35

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23 more
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Citing papers per year: 2026: 3.

3 papers.

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  1. 2022Transformer Feed-Forward Layers Build Predictions by Promoting Concepts in the Vocabulary Space
  2. 2025Analytical FFN-to-MoE Restructuring via Activation Pattern Analysis
  3. 2023Towards A Unified View of Sparse Feed-Forward Network in Pretraining Large Language Model
  4. 2023Approximating Two-Layer Feedforward Networks for Efficient Transformers
  5. 2026Prox: Training-Free FFN Activation Sparsity via Approximate Intermediate-Channel Salience in LLMs
  6. 2026WiSparse: Boosting LLM Inference Efficiency with Weight-Aware Mixed Activation Sparsity
  7. 2024Linearizing Large Language Models
  8. 2024Mitigating Quantization Errors Due to Activation Spikes in GLU-Based LLMs