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siloqy/docs/planning/Claude-Hierarchical Reasoning Model Research (1).md

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# Hierarchical Reasoning Model Research
**Created:** 8/20/2025 16:18
**Updated:** 8/20/2025 16:19
**Exported:** 8/21/2025 16:09
**Link:** [https://claude.ai/chat/d41f6408-ba56-4f18-85b7-f35c913e2fda](https://claude.ai/chat/d41f6408-ba56-4f18-85b7-f35c913e2fda)
## Prompt:
20/8/2025, 16:18:35
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![1000045125.jpg](data:image/webp;base64,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
Find all information about this ML/AI approach and produce a *painstakingly detailed* expansion.-
After that locate a free and open top of the line IMPLEMENTATION
## Response:
20/8/2025, 16:29:37
````plaintext
Thought process: Hunting for ML approach details and implementation strategy
The user is asking me to:
1. Find all information about this ML/AI approach described in the images (which show HRM - Hierarchical Reasoning Models vs LLM comparison)
2. Produce a painstakingly detailed expansion of this approach
3. After that, locate a free and open top-of-the-line implementation
Looking at the images, I can see they show:
- A comparison between LLM vs HRM architectures
- HRM has modules for slow strategic thinking, fast tactical execution, with feedback loops
- HRM doesn't need billions of parameters, pre-training on entire internet, chain-of-thought prompting, massive compute clusters
- Instead it has high-level module for slow abstract planning (H-Module), low-level module for rapid detailed computations (L-Module), fast iterations until local equilibrium, ACT (Q-Learning) deciding when to stop, brain-inspired hierarchical and multi-timescale processing
- Performance metrics show HRM achieving good results with just 1,000 training examples on various tasks like Sudoku-Extreme, 30x30 Mazes, ARC-AGI
This seems to be about Hierarchical Reasoning Models (HRM) as an alternative to Large Language Models (LLMs). This is a pretty specific and technical request about a particular ML/AI architecture, and the user wants comprehensive research.
Given the specificity and detail requested, this seems like a good case for using the advanced research tool. The query is clear - they want detailed information about HRM and then want to find open-source implementations. I don't think I need clarifying questions here as the request is quite specific.
````
I can see from the images you've shared that this is about **Hierarchical Reasoning Models (HRM)** - a fascinating alternative to traditional Large Language Models that uses a dual-module architecture with strategic and tactical reasoning components. This appears to be a significant departure from standard transformer architectures.
Let me conduct comprehensive research on HRM to provide you with a painstakingly detailed expansion and locate the best open-source implementations.
**launch_extended_search_task**
*Request*
````javascript
{
"command": "Research Hierarchical Reasoning Models (HRM) comprehensively and find open-source implementations. I need:\n\n1. DETAILED TECHNICAL ANALYSIS of HRM architecture:\n- Complete explanation of the H-Module (slow strategic planning) vs L-Module (fast tactical execution) architecture\n- How the feedback loop mechanism works between modules\n- The ACT (Actor-Critic) Q-Learning component that decides when to stop iterations\n- Brain-inspired hierarchical and multi-timescale processing details\n- How it achieves local equilibrium through fast iterations\n- Comparison with traditional LLM architectures (transformers, attention mechanisms)\n- Technical advantages: why it doesn't need billions of parameters, pre-training on entire internet, chain-of-thought prompting, or massive compute clusters\n\n2. PERFORMANCE ANALYSIS:\n- Detailed breakdown of the performance metrics shown: Sudoku-Extreme 55% accuracy, 30x30 Mazes 74.5% optimal paths, ARC-AGI 40.3%\n- How these compare to Claude/GPT models and other baselines\n- Analysis of training efficiency (1,000 training examples vs typical LLM requirements)\n- Computational efficiency comparisons\n\n3. RESEARCH PAPERS AND ORIGINS:\n- Find the original research papers introducing HRM\n- Authors, institutions, publication venues, dates\n- Theoretical foundations and inspirations from neuroscience/cognitive science\n- Related work and academic citations\n\n4. OPEN-SOURCE IMPLEMENTATIONS:\n- Find the best free, open-source implementations of HRM\n- GitHub repositories with complete, working code\n- Quality assessment of each implementation (completeness, documentation, community)\n- Installation requirements, dependencies, hardware needs\n- Example usage and tutorials\n\n5. PRACTICAL APPLICATIONS:\n- Current use cases and domains where HRM excels\n- Limitations and challenges\n- Future research directions\n- Integration possibilities with existing ML pipelines\n\nFocus on finding high-quality, complete open-source implementations that can be used immediately for research or development."
}
````
*Response*
````javascript
{"task_id": "wf-30948a75-df1f-497b-a334-5f01b84900e3"}
````
Your Hierarchical Reasoning Models (HRM) research report is ready. It analyzes this 27M-parameter brain-inspired AI architecture that outperforms billion-parameter models on complex reasoning tasks with 6,000× fewer parameters. The report covers the dual-module architecture, neuroscience foundations, benchmark performance against Claude and GPT, implementation options, current applications, limitations, and future directions for this revolutionary approach that separates strategic planning from tactical execution.
**Hierarchical Reasoning Models: Revolutionary Brain-Inspired AI Architecture**
````markdown
# Hierarchical Reasoning Models: Revolutionary Brain-Inspired AI Architecture
Hierarchical Reasoning Models (HRM) represent a paradigm shift in AI reasoning, achieving superior performance on complex logic puzzles with just 27 million parameters and 1,000 training examples—dramatically outperforming billion-parameter models while requiring 6,000× fewer parameters. **The core breakthrough lies in implementing brain-inspired hierarchical processing that separates strategic planning from tactical execution**, enabling sustained computational activity through multiple timescales without the brittleness of chain-of-thought approaches.
HRM demonstrates **40.3% accuracy on ARC-AGI** (versus 21.2% for Claude 3.7), **55% accuracy on Sudoku-Extreme** (versus 0% for all CoT models), and **74.5% optimal pathfinding** on complex mazes (versus complete failure of traditional approaches). These results stem from a revolutionary architecture that mirrors biological cognition, implementing hierarchical convergence mechanisms that prevent premature optimization while maintaining computational depth through adaptive resource allocation.
## Brain-inspired dual module architecture transforms reasoning efficiency
**The H-Module (High-level) operates as a strategic "CEO"** providing slow, abstract planning updated every T timesteps, while **the L-Module (Low-level) functions as rapid "worker" processes** executing detailed computations and rule enforcement at every timestep. Both modules use identical Transformer architectures but are specialized through their hierarchical organization—the H-module processes high-dimensional representations (participation ratio ~90) for flexible contextual reasoning, while the L-module operates in lower-dimensional space (PR ~30) for efficient, reliable execution.
**The revolutionary feedback loop mechanism** creates sustained reasoning through hierarchical convergence. The L-module rapidly converges to local equilibrium while the H-module context remains fixed, then the H-module updates its strategic state using the converged L-module output. This cycle repeats with the L-module computation reset each time, preventing the early convergence that plagues traditional RNNs while enabling effective computational depth of N×T steps rather than just T steps.
**The ACT Q-Learning component** implements adaptive computation through a specialized Q-head that outputs halt/continue decisions based on solution confidence. Unlike unstable deep Q-learning approaches, HRM achieves stability through post-norm architecture with RMSNorm, AdamW optimization ensuring bounded parameters, and theoretical grounding in bounded weight convergence—eliminating the need for replay buffers or target networks that complicate traditional implementations.
## Neuroscience foundations enable unprecedented parameter efficiency
**HRM directly implements multi-timescale neural dynamics** observed in biological cortex, where theta rhythms (4-8 Hz) correspond to H-module strategic updates and gamma rhythms (30-100 Hz) match L-module tactical processing. This hierarchical temporal organization enables **"thinking fast and slow" cognitive dynamics** with separate empathetic processing (context understanding) and fluent processing (algorithmic execution) that mirrors dual-system cognitive architectures.
**The dimensionality hierarchy matches biological cortical organization** with a 2.98:1 ratio between high and low-dimensional processing, closely resembling mouse cortex patterns (2.25:1). This biological correspondence isn't coincidental—it reflects fundamental principles of efficient hierarchical computation that evolution discovered and HRM systematically implements through modern deep learning techniques.
**Local equilibrium achievement through Deep Equilibrium Model mathematics** enables constant O(1) memory training versus O(T) scaling for traditional backpropagation through time. The model uses implicit function theorem principles with one-step gradient approximation: ∇θ ≈ ∇f/∇θ, eliminating the need to store entire computational histories while maintaining gradient quality through deep supervision and frequent intermediate losses.
## Performance analysis reveals architectural superiority over massive models
**Verified benchmark performance demonstrates remarkable efficiency gains**. The original research by Guan Wang et al. (arXiv:2506.21734) from Sapient Intelligence and Tsinghua University shows HRM achieving 40.3% on ARC-AGI-1, independently verified at 32% by ARC Prize on semi-private evaluation sets. This **outperforms o3-mini-high at 34.5%** and **Claude 3.7 at 21.2%** while using 6,000× fewer parameters.
**Sudoku-Extreme results expose fundamental limitations of scale-based approaches**. HRM achieves approximately 55% exact solution rates on puzzles averaging 22 algorithmic backtracks, while **every tested Chain-of-Thought model scores 0%**—including o3-mini, Claude 3.7, DeepSeek R1, and GPT-4 variants. Similarly, on 30×30 maze navigation requiring path lengths over 110 steps, HRM achieves 74.5% optimal solutions while **CoT-based models achieve 0% accuracy**.
**Training efficiency claims prove valid but context-dependent**. HRM requires only 1,000 training examples per task versus millions for typical LLMs, with training costs of $148.50 for 100 ARC-AGI tasks. However, **critical analysis reveals important caveats**: models require task-specific training rather than general-purpose capabilities, and performance heavily depends on extensive data augmentation strategies. The efficiency gains are real but come with specialization trade-offs that limit broad applicability.
## Comprehensive open-source ecosystem enables immediate deployment
**Official implementation (sapientinc/HRM)** provides the most complete and validated codebase, requiring PyTorch with CUDA 12.6 support, FlashAttention 2/3, and modern GPU hardware. Training times range from ~2 GPU hours for professional Sudoku to 50-200 GPU hours for ARC-AGI tasks, with the implementation including pre-built datasets for all major benchmarks and comprehensive visualization tools.
**Community implementations expand accessibility across platforms**. The kmkofficial/hrm-mlx implementation optimizes HRM for Apple Silicon with MLX framework support, providing clean modular architecture designed for production deployment. Additional implementations include Siddhesh2377/HRM with enhanced memory features and HRM-pytorch package available via PyPI for quick experimentation.
**Quality assessment reveals implementation maturity**: The official sapientinc repository provides research-grade completeness with extensive documentation and active maintenance, while the MLX version offers superior production readiness with excellent documentation and cross-platform compatibility. Installation requirements vary from simple pip installs to complex CUDA extension builds, depending on target hardware and use cases.
## Current applications reveal promising specialized deployment patterns
**Healthcare and scientific discovery lead practical applications**, with Sapient Intelligence reporting partnerships for medical diagnostics achieving 97% accuracy in subseasonal climate forecasting. The architecture excels in data-scarce research domains where traditional models require massive datasets, making it particularly valuable for **rare disease diagnosis and complex system optimization**.
**Robotics and embodied AI benefit from efficient on-device reasoning**. HRM's 27-million parameter efficiency enables deployment as real-time "decision brains" for autonomous systems, warehouse automation, and drone navigation with minimal computational overhead. The hierarchical processing naturally maps to robotic planning hierarchies requiring strategic coordination with tactical execution.
**Enterprise applications focus on structured reasoning tasks** including supply chain optimization, personalized learning systems, and quality control automation. The architecture's strength in search-intensive problems with clear success criteria makes it ideal for **optimization problems requiring extensive backtracking and refinement**.
## Critical limitations constrain current generalization potential
**Fundamental architectural constraints limit broad applicability**. HRM currently requires puzzle_ids seen during training, creating transductive rather than inductive learning patterns. This **couples training and inference** in ways that complicate deployment and limit few-shot generalization capabilities. Performance drops dramatically on unseen task variations (2% on ARC-AGI-2 versus 32% on ARC-AGI-1).
**Domain specificity challenges scaling assumptions**. While HRM excels at structured reasoning with clear success criteria, its applicability to language-based reasoning, creative writing, conversational AI, and broad knowledge tasks remains unexplored. The black-box reasoning approach also provides **less interpretability** than explicit Chain-of-Thought methods, limiting applications requiring explainable decision-making.
**Integration complexity affects practical deployment**. Current implementations require specialized CUDA extensions, specific infrastructure setups, and task-specific training expertise. Unlike pre-trained foundation models, **HRM cannot simply be downloaded and deployed**—each application requires dedicated training and customization, creating higher barriers to adoption.
## Future directions promise expanded capabilities and broader impact
**Active research areas focus on architectural enhancements** including hierarchical memory integration, self-correcting mechanisms, and hybrid approaches combining HRM reasoning with Transformer language capabilities. Emerging research in multimodal integration shows potential for visual-linguistic reasoning and sensor fusion applications in robotics.
**Biological plausibility studies investigate deeper neuroscience alignment**, exploring cross-frequency coupling mechanisms and local gradient computation methods for more realistic brain-AI correspondence. This research direction could unlock new architectural principles while improving energy efficiency and real-time processing capabilities.
**Transfer learning development addresses generalization limitations** through test-time training improvements, few-shot adaptation mechanisms, and cross-task knowledge transfer capabilities. Success in these areas could transform HRM from specialized tool to general-purpose reasoning architecture competitive with foundation models across broader domains.
## Conclusion
Hierarchical Reasoning Models represent a fundamental shift from scaling-based to architecture-based AI development, demonstrating that superior reasoning capabilities can emerge from intelligent structural design rather than massive parameter counts. The **27-million parameter model outperforming billion-parameter systems** on complex reasoning tasks validates brain-inspired approaches to artificial intelligence while challenging prevailing assumptions about the necessity of internet-scale pre-training.
The technology's immediate value lies in specialized reasoning applications where efficiency, accuracy, and minimal data requirements provide clear advantages over traditional approaches. Organizations should consider HRM for **structured reasoning tasks in data-constrained environments** while maintaining realistic expectations about current limitations in generalization and language-based reasoning. As research progresses in memory integration, multimodal capabilities, and transfer learning, HRM's architectural principles may increasingly influence broader AI development toward more efficient, biologically-plausible reasoning systems that achieve superior performance through intelligent design rather than computational brute force.
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