Challenge: Xiao et al., 2024) show that softmax models display an attention sink . he argues that normalization over a probability simplex must force attention to collapse onto a stable anchor to realize a default state.
Approach: They show that normalization over a trigger-conditional behavior *necessarily* induces a sink in softmax self-attention models.
Outcome: The proposed model can solve a task with no sink in softmax models.

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Challenge: Xiao et al., 2025) show a tendency to allocate disproportionate attention mass to early (often first) positions independent of semantic content.
Approach: They find that Transformers display an attention sink: disproportionate attention to the first position.
Outcome: The proposed sinks are found in GPT-2–style models with learned query biases and absolute positional embeddings.
Softpick: No Attention Sink, No Massive Activations with Rectified Softmax (2026.findings-acl)

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Challenge: Quantized models using softpick outperform softmax on standard benchmarks . softmax is widely used in statistics and especially in machine learning .
Approach: They introduce a rectified, not sum-to-one, drop-in replacement for softmax in transformer attention mechanisms that eliminates attention sink and massive activations.
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Self-Adjust Softmax (2025.emnlp-main)

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Challenge: Usually, tokens with larger attention scores are important for the final prediction.
Approach: They propose to modify softmax(z) to z softmax and its normalized variant to improve the Transformer attention mechanism by making minor adjustments to the softmax function.
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Simulating Hard Attention Using Soft Attention (2026.tacl-1)

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Challenge: a central element of hard attention is attention, which computes a weighted average of values from all unmasked positions.
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Threshold Differential Attention for Sink-Free, Ultra-Sparse, and Non-Dispersive Language Modeling (2026.acl-long)

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Challenge: a strict sum-to-one constraint forces attention sinks on irrelevant tokens, while probability mass disperses as sequence lengths increase.
Approach: They propose a sink-free attention mechanism that achieves ultra-sparsity and improved robustness at longer sequence lengths without the computational overhead of projection methods.
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Sparse Attention with Linear Units (2021.emnlp-main)

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Challenge: Recent studies have suggested that sparse attention mechanisms can be made more interpretable by replacing the softmax activation with its sparser variants.
Approach: They propose a method to replace softmax activation with a ReLU to achieve sparsity in attention by layer normalization with either a specialized initialization or an additional gating function.
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Variance Sensitivity Induces Attention Entropy Collapse and Instability in Transformers (2025.emnlp-main)

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Challenge: Attention-based language models rely on the softmax function to convert attention logits into probability distributions, but this process can result in attention entropy collapse.
Approach: They propose to use the softmax function to re-weight attention logits to create probability distributions, but this reweighting can lead to attention entropy collapse . they find that entropic-stable attention methods can prevent entrapment and enable more stable training by controlling or insensitive to variance of attention logit variance.
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On the Distribution, Sparsity, and Inference-time Quantization of Attention Values in Transformers (2021.findings-acl)

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Challenge: Recent work shows that attention can be pruned to zeros with minimal loss in accuracy.
Approach: They propose a pruning technique which quantizes attention to a 3-bit format without retraining . they find that 80% of attention values can be pruned to zeros with minimal loss in accuracy .
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Human Guided Exploitation of Interpretable Attention Patterns in Summarization and Topic Segmentation (2022.emnlp-main)

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Challenge: Existing studies have investigated the multi-head self-attention mechanism of transformers.
Approach: They propose to use a human-in-the-loop pipeline to discover task-specific attention patterns and inject them into transformer models to improve their accuracy.
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Integral Transformer: Denoising Attention, Not Too Much Not Too Little (2025.emnlp-main)

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Challenge: Existing methods to reduce attention noise by integrating signals from logit distributions are prone to attention noise.
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