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Depth-Recurrent Attention Mixtures: Giving Latent Reasoning the Attention it Deserves
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Proposes Dreamer, a single-layer depth-recurrent attention mixture combining sequence, depth, and sparse expert attention, and shows FLOP-, parameter-, and memory-matched gains on math reasoning over a layered MoE baseline.
Problem
Depth-recurrent models for latent reasoning are hard to scale because a dense recurrent layer is costly and constant hidden-size restricts many-step latent reasoning; prior work also lacks resource-matched ablations.
Approach
A modular depth-recurrent layer that mixes sequence attention, depth attention (attention over previous depths of the same token), and sparse expert attention (MoE with query/key routing), with resource-matched comparisons against layered and non-attention-along-depth variants.
Key results
- Depth-32 DR+DA reaches 51.4 average accuracy vs 39.5 for depth-32 layered baseline, with 3.5x data efficiency.
- Depth-16 DR+DA outperforms depth-32 layered baseline on all reasoning benchmarks at roughly half the parameters, FLOPs, and memory.
- DR uses 2-11x more distinct experts per depth than the layered baseline, with global expert balancing Gini of about 0.075.
Surprising findings
- Depth-16 DR without depth attention outperforms DR+DA on half the reasoning benchmarks, suggesting depth attention helps mainly at greater depth.
- Depth-recurrence without depth attention gives a smaller gain than DR+DA at depth 32, and gains over layered baseline grow with depth for DR+DA.
Limitations
- Results only on math-focused data and benchmarks at ~1B and ~2B scale, trained on ca. 100B tokens.
- Depth attention adds a memory movement overhead; no dynamic-depth or depth-generalization evaluation.
- Scaling laws are not established; the paper defers rigorous scaling analysis to future work.
Experimental setup
Datasets: EleutherAI/hendrycks_math bethgelab/CuratedThoughts microsoft/orca-math-word-problems-200k TIGER-Lab/MathInstruct openai/gsm8k XinyaoHu/AMPS_khan open-thoughts/OpenThoughts2-1M AI-MO/NuminaMath-CoT facebook/natural_reasoning nvidia/OpenMathInstruct-2 nvidia/OpenMathReasoning zwhe99/DeepMath-103K
Benchmarks: GSM8K MATH MMLU (math subset) MathQA Maths-College perplexity
Metrics: accuracy (0-shot) validation perplexity data efficiency factor expert usage Gini coefficient
Baselines: LA (layered MoE baseline, depth 16 and 32) DR (depth recurrence without depth attention)
Builds on: DeepSeek-V3 auxiliary-loss-free balancing Transformer self-attention grouped-query attention RoPE SwiGLU
Closest papers by meaning
- Scaling up Test-Time Compute with Latent Reasoning: A Recurrent Depth Approach (NeurIPS 2025 · similarity 0.88)
- RAT: Bridging RNN Efficiency and Attention Accuracy via Chunk-based Sequence Modeling (NeurIPS 2025 · similarity 0.88)
- Visual Enhanced Depth Scaling for Multimodal Latent Reasoning (NeurIPS 2026 · similarity 0.87)
- Dual-Latent Memory Routing for Vision-Language Reasoning (ICML 2026 · similarity 0.87)
- Efficient Post-Training Refinement of Latent Reasoning in Large Language Models (AAAI 2026 · similarity 0.87)
- Mixture-of-Recursions: Learning Dynamic Recursive Depths for Adaptive Token-Level Computation (NeurIPS 2025 · similarity 0.87)
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