Residual connections are one of many least questioned elements of contemporary Transformer design. In PreNorm architectures, every layer provides its output again right into a working hidden state, which retains optimization steady and permits deep fashions to coach. Moonshot AI researchers argue that this customary mechanism additionally introduces a structural downside: all prior layer outputs are gathered with mounted unit weights, which causes hidden-state magnitude to develop with depth and progressively weakens the contribution of any single layer.
The analysis group proposes Consideration Residuals (AttnRes) as a drop-in substitute for traditional residual accumulation. As an alternative of forcing each layer to devour the identical uniformly blended residual stream, AttnRes lets every layer mixture earlier representations utilizing softmax consideration over depth. The enter to layer (l) is a weighted sum of the token embedding and former layer outputs, the place the weights are computed over prior depth positions fairly than over sequence positions. The core thought is straightforward: if consideration improved sequence modeling by changing mounted recurrence over time, the same thought may be utilized to the depth dimension of a community.

Why Commonplace Residuals Develop into a Bottleneck
The analysis group recognized three points with customary residual accumulation. First, there’s no selective entry: all layers obtain the identical aggregated state regardless that consideration layers and feed-forward or MoE layers might profit from completely different mixtures of earlier info. Second, there’s irreversible loss: as soon as info is mixed right into a single residual stream, later layers can’t selectively get well particular earlier representations. Third, there’s output progress: deeper layers have a tendency to provide bigger outputs to stay influential inside an ever-growing gathered state, which might destabilize coaching.
That is the analysis groupβs essential framing: customary residuals behave like a compressed recurrence over layers. AttnRes replaces that mounted recurrence with express consideration over earlier layer outputs.
Full AttnRes: Consideration Over All Earlier Layers
In Full AttnRes, every layer computes consideration weights over all previous depth sources. The default design does not use an input-conditioned question. As an alternative, every layer has a discovered layer-specific pseudo-query vector wl β Rd, whereas keys and values come from the token embedding and former layer outputs after RMSNorm. The RMSNorm step is necessary as a result of it prevents large-magnitude layer outputs from dominating the depth-wise consideration weights.
Full AttnRes is simple, nevertheless it will increase price. Per token, it requires O(L2 d) arithmetic and (O(Ld)) reminiscence to retailer layer outputs. In customary coaching this reminiscence largely overlaps with activations already wanted for backpropagation, however beneath activation re-computation and pipeline parallelism the overhead turns into extra important as a result of these earlier outputs should stay out there and should must be transmitted throughout phases.
Block AttnRes: A Sensible Variant for Massive Fashions
To make the strategy usable at scale, Moonshot AI analysis group introduces Block AttnRes. As an alternative of attending over each earlier layer output, the mannequin partitions layers into N blocks. Inside every block, outputs are gathered right into a single block illustration, and a focus is utilized solely over these block-level representations plus the token embedding. This reduces reminiscence and communication overhead from O(Ld) to O(Nd).
The analysis group describes cache-based pipeline communication and a two-phase computation technique that make Block AttnRes sensible in distributed coaching and inference. This leads to lower than 4% coaching overhead beneath pipeline parallelism, whereas the repository studies lower than 2% inference latency overhead on typical workloads.
Scaling Outcomes
The analysis group evaluates 5 mannequin sizes and compares three variants at every measurement: a PreNorm baseline, Full AttnRes, and Block AttnRes with about eight blocks. All variants inside every measurement group share the identical hyperparameters chosen beneath the baseline, which the analysis group observe makes the comparability conservative. The fitted scaling legal guidelines are reported as:
Baseline: L = 1.891 x C-0.057
Block AttnRes: L = 1.870 x C-0.058
Full AttnRes: L = 1.865 x C-0.057
The sensible implication is that AttnRes achieves decrease validation loss throughout the examined compute vary, and the Block AttnRes matches the lack of a baseline educated with about 1.25Γ extra compute.
Integration into Kimi Linear
Moonshot AI additionally integrates AttnRes into Kimi Linear, its MoE structure with 48B whole parameters and 3B activated parameters, and pre-trains it on 1.4T tokens. Based on the analysis paper, AttnRes mitigates PreNorm dilution by holding output magnitudes extra bounded throughout depth and distributing gradients extra uniformly throughout layers. One other implementation element is that each one pseudo-query vectors are initialized to zero so the preliminary consideration weights are uniform throughout supply layers, successfully lowering AttnRes to equal-weight averaging initially of coaching and avoiding early instability.
On downstream analysis, the reported good points are constant throughout all listed duties. It studies enhancements from 73.5 to 74.6 on MMLU, 36.9 to 44.4 on GPQA-Diamond, 76.3 to 78.0 on BBH, 53.5 to 57.1 on Math, 59.1 to 62.2 on HumanEval, 72.0 to 73.9 on MBPP, 82.0 to 82.9 on CMMLU, and 79.6 to 82.5 on C-Eval.
Key Takeaways
- Consideration Residuals replaces mounted residual accumulation with softmax consideration over earlier layers.
- The default AttnRes design makes use of a discovered layer-specific pseudo-query, not an input-conditioned question.
- Block AttnRes makes the strategy sensible by lowering depth-wise reminiscence and communication from O(Ld) to O(Nd).
- Moonshot analysis teamreports decrease scaling loss than the PreNorm baseline, with Block AttnRes matching about 1.25Γ extra baseline compute.
- In Kimi Linear, AttnRes improves outcomes throughout reasoning, coding, and analysis benchmarks with restricted overhead.
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