# Gimbal Node Suite ### *Navigate latent space with precision flight instruments, not lottery prompts.* **A ComfyUI custom node suite by [Form & Noise](https://github.com/form-and-noise)** | 🟢 Stabilized [![Tests](https://img.shields.io/badge/tests-220%20passed%2C%200%20failed-brightgreen?style=flat-square)](./wiki/concepts/lamnr_framework.md) [![GPU Certified](https://img.shields.io/badge/GPU-RTX%203060%20live%20run-blue?style=flat-square)](./wiki/visual_asset_index.md) [![ComfyUI](https://img.shields.io/badge/ComfyUI-compatible-orange?style=flat-square)](https://github.com/comfyanonymous/ComfyUI) [![SDXL](https://img.shields.io/badge/SDXL-4ch-teal?style=flat-square)](./wiki/concepts/channel_architecture.md) [![FLUX.1](https://img.shields.io/badge/FLUX.1-16ch-purple?style=flat-square)](./wiki/concepts/channel_architecture.md) > 🎙️ **Flight Deck Announcement**: *"Ladies and gentlemen, please stow your random seed generators in the upright position. We have reached cruising altitude in $\mathbb{R}^{65,536}$ and the slot machine is officially out of service."*

--- ## 🧭 Master Navigation Index - **[What Is Gimbal?](#what-is-gimbal)** - **[Visual Showcase & Galleries](#-visual-showcase--galleries)** - **[Installation](#-installation)** - **[🎯 Getting Started & How to Use](#-getting-started--how-to-use-guide)** - [The Core Mental Model](#the-core-mental-model) - [Tutorial 1: Your First Concept Blend (2-Minute Quick Start)](#tutorial-1-your-first-concept-blend-2-minute-quick-start) - [Tutorial 2: Natural Language Lighting Steering](#tutorial-2-natural-language-lighting-steering) - [Tutorial 3: 2D Neighborhood Mapping (Manifold Grid)](#tutorial-3-2d-neighborhood-mapping-manifold-grid) - [Tutorial 4: Bookmarking Latents with GPS Waypoints](#tutorial-4-bookmarking-latents-with-gps-waypoints) - [Golden Rules of Latent Flight](#the-5-golden-rules-of-latent-flight) - **[🛠️ Complete Flight Instrument Catalog (Node Reference)](#-complete-flight-instrument-catalog-nodes)** - **[📋 Canonical Workflow Guides](#-canonical-workflow-guides)** - **[🔬 Mathematical & Theoretical Deep Dives](#-mathematical--theoretical-deep-dives)** - **[📖 Project History](#-project-history)** - **[📚 Documentation Archives & Research Papers](./docs/README.md)** - **[🏷️ Brand Standards](#-brand-standards)** --- ## What Is Gimbal? Every diffusion artist knows the feeling: you have a vivid creative vision, but your tools offer a high-stakes slot machine. Change the seed, roll again, pray to the VAE gods, and hope something vaguely close emerges from the noise. Gimbal exists to officially decommission that loop. **Gimbal is a suite of latent-space flight instruments** — 19 ComfyUI custom nodes that let you navigate the high-dimensional manifold of a diffusion model the way a pilot navigates the sky: with exact coordinates, heading, altitude, and intent. Instead of re-rolling seeds and hoping a random walk lands somewhere interesting, you plot a flight plan, hold your orientation, and land right on your target runway. > [!TIP] > **Co-Pilot's Log**: *Why spend 45 minutes re-rolling seeds like a casino regular when you can vector-steer straight to your target coordinates and still have time for a coffee break?* ### Core Capabilities at a Glance | Creative Goal | Primary Flight Instrument | Underlying Mathematical Engine | | :------------------------------------------------------------------------- | :------------------------------------------------------------------------------------- | :---------------------------------------------------- | | **Blend two concepts** (e.g. Redwood Forest $\leftrightarrow$ Alpine Peak) | 🧭 [Compass Pro](./wiki/nodes/compass_pro.md) | Geodesic Spherical Linear Interpolation ($\mu$-SLERP) | | **Steer atmosphere with words** ("golden hour soft cinematic") | 🌉 [Cross-Modal Bridge](./wiki/nodes/crossmodal_bridge.md) | Calibrated keyword-to-subspace signature projection | | **Survey 9 variations in a 2D grid** | 🗺️ [Manifold Explorer](./wiki/nodes/manifold_explorer.md) | Orthogonal 2D topological surface mapping | | **Generate seamless 360° animation loops** | 🔄 [Circular Orbit](./wiki/nodes/circular_orbit.md) | Constant-radius closed-loop geodesic trajectories | | **Lock brand lighting across 1,000 products** | 📍 [GPS Anchor](./wiki/nodes/gps_anchor.md) + 📂 [GPS Load](./wiki/nodes/gps_load.md) | Cryptographic coordinate hashing & disk caching | | **Dial one attribute without changing others** | 🎚️ [Semantic Slider](./wiki/nodes/semantic_slider.md) | Real-time SVD/PCA batch covariance decomposition | | **Swap material, lock 100% silhouette** | 🔀 [Channel Split](./wiki/nodes/channel_split.md) + 🔁 [Merge](./wiki/nodes/channel_merge.md) | Subspace frequency band decoupling (4ch / 16ch) | | **Eliminate posterization & black outlines** | 🛡️ [Latent Stabilizer](./wiki/nodes/latent_stabilizer.md) | Low-rank Woodbury MMSE denoiser & variance truncation | | **Audit latent probability & OOD distance** | 📊 [Diagnostics](./wiki/nodes/diagnostics.md) + 📡 [Telemetry](./wiki/nodes/latent_telemetry.md) | Exact log-likelihood & Mahalanobis distance scoring | --- ## 🖼️ Visual Showcase & Galleries

Workflow 02: Cinematic Steering 100% vehicle silhouette lock with text-steered cyberpunk lighting.	Workflow 08: Harmonic Orbiter Constant-radius closed-loop geodesic 360° tour.
Workflow 09: Subspace Material Subspace channel decoupling (Concrete → Chrome → Velvet).	Workflow 04: Brand Lighting Photometric lighting transfer across luxury product categories.

### Sample Output Comparisons | Concept Blender | Text Steered Portrait | Manifold Grid Slice | Semantic Slider | |:---:|:---:|:---:|:---:| | ![Forest ↔ Mountain Blend](assets/test_runs/01_concept_blender/01_concept_blend_forest_mountain.jpg) | ![Text Steered Portrait](assets/test_runs/02_text_steered/02_text_steered_portrait.jpg) | ![Manifold Grid Slice Q1](assets/test_runs/03_manifold_grid/03_manifold_slice_q1.jpg) | ![Semantic Slider Portrait](assets/test_runs/05_semantic_slider/05_semantic_slider_portrait.jpg) | | `GimbalCompass_Pro` SLERP $t=0.50$ | `GimbalCrossModalBridge` + Orthogonal | `GimbalManifold_Explorer` 3×3 grid | `GimbalSemanticSlider` PC-0 $\pm 1.5$ | > 📁 **Explore all 206 test renders and 3 interactive HTML HUD galleries in the [Visual Asset & Gallery Index](./wiki/visual_asset_index.md)**. --- ## 🚀 Installation ### System Requirements - **ComfyUI** (any recent build) - **Python**: 3.10+ - **PyTorch**: 2.0+ with CUDA (RTX 3060 / 40-series tested) or CPU - **Supported Architectures**: SD 1.5, SDXL 1.0 (4-channel), SD 3.5, FLUX.1 (16-channel) ### Step-by-Step Installation ```bash # 1. Navigate to your ComfyUI custom_nodes folder cd ComfyUI/custom_nodes # 2. Clone the repository git clone https://github.com/form-and-noise/ComfyUI-Gimbal.git # 3. Install requirements pip install -r ComfyUI-Gimbal/requirements.txt # 4. Restart ComfyUI ``` All nodes will appear in the ComfyUI **Add Node → Gimbal/*** menu, organized into 7 logical flight categories. --- ## 🎯 Getting Started & How to Use Guide ### The Core Mental Model Traditional diffusion treats latent tensors as random noise that the UNet denoises into an image. Gimbal treats the latent tensor $\mathbf{z} \in \mathbb{R}^{C \times H \times W}$ as a **geometric point in a high-dimensional vector space** ($D = 65,536$ dimensions). ``` ┌─────────────────────────────────────────────────────────────┐ │ THE GIMBAL FLIGHT DECK │ │ │ │ 🧭 COMPASS PRO 🗺️ MANIFOLD EXPLORER 📍 GPS ANCHOR│ │ [Vector Steering] [2D Topology Grids] [Save Point] │ │ ▲ ▲ ▲ │ │ └───────────────────────┼───────────────────┘ │ │ │ │ │ 🌉 CROSS-MODAL BRIDGE │ │ [Natural Language Input] │ │ │ │ │ 🛡️ LATENT STABILIZER │ │ [LAMNr Quality Filter] │ └─────────────────────────────────────────────────────────────┘ ``` --- ### Tutorial 1: Your First Concept Blend (2-Minute Quick Start) **Goal**: Blend a Redwood Forest with a Mountain Summit at a precise 50% geometric midpoint without muddy colors. ``` ┌─────────────────────────────────────────────────────────────────┐ │ CONCEPT BLENDER — WIRING DIAGRAM │ │ │ │ [Prompt A: "dense redwood forest"] │ │ └──► KSampler A (denoise=1.0) ──► latent_A ──┐ │ │ ▼ │ │ [Prompt B: "rocky mountain summit"] ──► 🧭 Gimbal Compass Pro │ │ └──► KSampler B (denoise=1.0) ──► latent_B ──┘ │ │ (mode: Slerp, t=0.50) │ │ │ │ │ ▼ │ │ KSampler (final) │ │ (denoise=0.90, CFG=5.5) │ │ │ │ │ ▼ │ │ VAEDecode ──► 🖼️ Image │ └─────────────────────────────────────────────────────────────────┘ ``` #### Step-by-Step Instructions: 1. Create two standard text prompts: Prompt A (*Redwood Forest*) and Prompt B (*Mountain Summit*). 2. Wire each prompt into its own `KSampler` running `denoise = 1.0` to generate two raw concept latents (`latent_A` and `latent_B`). 3. Add a **🧭 Gimbal Compass Pro** node (`Add Node → Gimbal/Flight Instruments → Gimbal Compass Pro`). 4. Connect `latent_A` to `base_latent` and `origin_latent`. Connect `latent_B` to `target_latent`. 5. Set `mode = "Slerp"` and `strength = 0.50`. 6. Pass `latent_out` into a final `KSampler` set to `denoise = 0.90`, `CFG = 5.5`, `steps = 25`. 7. Decode with `VAEDecode` and save. You now have a photorealistic, crisp 50% hybrid environment. > 📖 **Full Workflow Guide**: [Workflow 01: Concept Blender](./wiki/workflows/wf_01_concept_blender.md) --- ### Tutorial 2: Natural Language Lighting Steering **Goal**: Take an existing car or portrait and change the atmosphere to "Cyberpunk Midnight" while locking the vehicle silhouette 100%. ``` [Base Latent: Studio Car Render] ──┐ ▼ [🌉 Cross-Modal Bridge] ──► 🧭 Compass Pro (Orthogonal_Projection, strength=1.5) instruction = "dark cool neon" │ ▼ [🛡️ Latent Stabilizer] (psi=0.88, scale_cap=8.0) │ ▼ [KSampler: Refine] (denoise=0.55, CFG=3.8) ──► [VAEDecode] ``` 1. Generate or VAE-encode your base subject into `BASE_LATENT`. 2. Add a **🌉 Gimbal Cross-Modal Bridge** node. Type `"dark cool neon cyberpunk cinematic"` into `instruction`. 3. Connect `direction_latent` from the Bridge to `target_latent` of a **🧭 Compass Pro**. Connect `BASE_LATENT` to `base_latent`. 4. Set Compass mode to `Orthogonal_Projection` and `strength = 1.50`. 5. Wire `latent_out` through a **🛡️ Gimbal Latent Stabilizer** (`truncation_psi = 0.88`, `scale_cap = 8.0`). 6. Pass into a refinement `KSampler` with `denoise = 0.55` and `CFG = 3.8`. The car's body panels and reflections remain identical, but all lighting and background atmosphere shift to neon cyberpunk. > 📖 **Full Workflow Guide**: [Workflow 02: Text-Steered Lighting](./wiki/workflows/wf_02_text_steered.md) --- ### Tutorial 3: 2D Neighborhood Mapping (Manifold Grid) **Goal**: Explore 9 variations of a concept across two independent visual axes in a single render batch. 1. Connect your center starting latent to `center_latent` of **🗺️ Gimbal Manifold Explorer**. 2. Connect a "Warm Earthy" vector to `x_vector` and a "Cool Obsidian" vector to `y_vector` (from Cross-Modal Bridge). 3. Set `grid_size_x = 3`, `grid_size_y = 3`, `x_strength = 1.5`, `y_strength = 1.5`, `interpolation_mode = "Slerp"`. 4. Connect the output `latent_batch` (9 latents) to a refinement `KSampler` with `denoise = 0.50`. 5. Pass decoded images to **🪡 Gimbal Grid Stitch** (`columns = 3`) to view all 9 variations in a clean contact sheet. > 📖 **Full Workflow Guide**: [Workflow 03: Manifold Grid](./wiki/workflows/wf_03_manifold_grid.md) --- ### Tutorial 4: Bookmarking Latents with GPS Waypoints **Goal**: Extract the best image from a 9-image manifold grid, save its coordinates to disk, and reload it in a future session. 1. Add a **📍 Gimbal GPS Anchor** node. Connect `latent_batch` from your Manifold Explorer. 2. Set `select_index = 4` (picks the center cell) and `save_waypoint = True`. 3. Give it a name: `waypoint_name = "golden_arch_hero_v1"`. 4. When executed, Gimbal writes `output/gimbal/golden_arch_hero_v1.json` with full tensor coordinates, statistics, and cryptographic SHA-256 hash. 5. In any future workflow or session, add a **📂 Gimbal GPS Load** node, point to that JSON file, and immediately resume navigation from that exact location. > 📖 **Full Workflow Guide**: [Workflow 04: Brand-Locked Lighting](./wiki/workflows/wf_04_brand_locked.md) --- ### The 5 Golden Rules of Latent Flight > 🛫 **Pre-Flight Safety Checklist**: *Disregarding these rules may result in mid-air spatial collisions, deep-fried pixel turbulence, or unexpected character re-skinning.* 1. **Step-0 Noise vs. Mid-Denoise (The Early Bird Rule)**: Always perform concept blends (SLERP) on **Step-0 Gaussian initial noise** before spatial feature maps crystallize into stubborn real estate. Intercepting latents at Step 8 is like trying to redesign an airplane while it's landing—it forces grotesque boundary re-skinning (tree trunks morphing violently into rock spires). 2. **Refinement Denoise Sweet Spot ($0.45 – 0.60$)**: When refining latents modified by Compass Pro or Manifold Explorer, keep denoise between $0.45$ and $0.60$. Higher denoise ($>0.70$) completely overwrites your carefully calculated flight path; lower denoise ($<0.35$) leaves behind raw, un-denoised math artifacts that look like abstract mathematical soup. 3. **Drop CFG During Refinement ($3.5 – 4.5$) (Don't Yell at the UNet)**: Since Gimbal has already injected clear semantic direction into the latent tensor, high guidance ($>6.5$) will over-drive the signal and deep-fry your images with crispy black wireframe outlines. 4. **Use Orthogonal Projection for Geometry Lock**: When steering lighting or atmosphere on an existing image, always set `Orthogonal_Projection` mode. This decomposes the change vector perpendicular to your subject—allowing you to repaint the sky neon cyberpunk without accidentally altering the shape of your sports car. 5. **Always Deploy Latent Stabilizer After Steering**: When applying high text-steering gains, insert `GimbalLatentStabilizer` ($\psi = 0.88$, $\text{cap} = 8.0$) before your final KSampler. Think of it as your automatic flight stabilizer—reining in outlier noise spikes before they cause visual turbulence. --- ## 🛠️ Complete Flight Instrument Catalog (Nodes) | Instrument Name | ComfyUI Display Name | Category | Primary Function & Mathematical Core | Documentation | | :--- | :--- | :--- | :--- | :--- | | `GimbalCompass_Pro` | 🧭 Gimbal Compass Pro | `Flight Instruments` | Vector arithmetic, $\mu$-SLERP, and orthogonal projection steering. | [compass_pro.md](./wiki/nodes/compass_pro.md) | | `GimbalManifold_Explorer` | 🗺️ Gimbal Manifold Explorer | `Flight Instruments` | 2D $\mu$-centered orthogonal latent topography grid synthesis. | [manifold_explorer.md](./wiki/nodes/manifold_explorer.md) | | `GimbalCrossModalBridge` | 🌉 Gimbal Cross-Modal Bridge | `Conditioning` | Calibrated keyword-to-subspace signature projection. | [crossmodal_bridge.md](./wiki/nodes/crossmodal_bridge.md) | | `GimbalCircularOrbit` | 🔄 Gimbal Circular Orbit | `Trajectory` | Constant-radius closed-loop geodesic orbits ($z(\theta) = \mu + r(\cos\theta\mathbf{u} + \sin\theta\mathbf{v})$). | [circular_orbit.md](./wiki/nodes/circular_orbit.md) | | `GimbalWaypointSpline` | 〰️ Gimbal Waypoint Spline | `Trajectory` | Spherical Catmull-Rom geodesic spline multi-stop flight path. | [waypoint_spline.md](./wiki/nodes/waypoint_spline.md) | | `GimbalSemanticSlider` | 🎚️ Gimbal Semantic Slider | `Decomposition` | Real-time SVD/PCA batch covariance decomposition attribute isolation. | [semantic_slider.md](./wiki/nodes/semantic_slider.md) | | `GimbalGPS_Anchor` | 📍 Gimbal GPS Anchor (Save) | `Navigation` | Extracts single latents, computes hashes, and saves JSON waypoints. | [gps_anchor.md](./wiki/nodes/gps_anchor.md) | | `GimbalGPS_Load` | 📂 Gimbal GPS Load | `Navigation` | Recalls saved cryptographic waypoint tensors and provenance metadata. | [gps_load.md](./wiki/nodes/gps_load.md) | | `GimbalChannelSplit` | 🔀 Gimbal Channel Split | `Subspace` | Decouples 4-ch (SDXL) or 16-ch (FLUX) into frequency sub-bands. | [channel_split.md](./wiki/nodes/channel_split.md) | | `GimbalChannelMerge` | 🔁 Gimbal Channel Merge | `Subspace` | Lossless concatenation and recomposition of split latent bands. | [channel_merge.md](./wiki/nodes/channel_merge.md) | | `GimbalChannelScale` | ⚖️ Gimbal Channel Scale | `Subspace` | Independent per-channel frequency gain and amplitude control. | [channel_scale.md](./wiki/nodes/channel_scale.md) | | `GimbalLatentStabilizer` | 🛡️ Gimbal Latent Stabilizer | `Stabilizer` | Full LAMNr pipeline: Woodbury denoise, scale cap, and $\psi$ shrinkage. | [latent_stabilizer.md](./wiki/nodes/latent_stabilizer.md) | | `GimbalTruncation` | 📉 Gimbal Truncation | `Quality` | Surgical variance shrinkage toward centroid ($z' = \mu + \psi(z-\mu)$). | [truncation.md](./wiki/nodes/truncation.md) | | `GimbalLatentMath` | 🔢 Gimbal Latent Math | `Primitives` | Full dispatcher exposing all 13 LAMNr primitives in a single node. | [latent_math.md](./wiki/nodes/latent_math.md) | | `GimbalDiagnostics` | 📊 Gimbal Diagnostics | `Telemetry` | Real-time tensor readout: min, max, mean, std, L2 norm, channel variance. | [diagnostics.md](./wiki/nodes/diagnostics.md) | | `GimbalLatentTelemetry` | 📡 Gimbal Latent Telemetry | `Telemetry` | Research-grade OOD metrics: Exact Log-Likelihood, Mahalanobis, TC. | [latent_telemetry.md](./wiki/nodes/latent_telemetry.md) | | `GimbalVectorAnalogy` | ➕ Gimbal Vector Analogy | `Arithmetic` | Concept arithmetic ($A - B + C$) with orthogonal projection safeguards. | [vector_analogy.md](./wiki/nodes/vector_analogy.md) | | `GimbalLikenessIsolator`| 🎭 Gimbal Likeness Isolator | `Conditioning` | Differential LoRA probe decoupling identity tokens from scene style. | [likeness_isolator.md](./wiki/nodes/likeness_isolator.md) | | `GimbalGridStitch` | 🪡 Gimbal Grid Stitch | `Utility` | Stitches multi-sample batches into composite image contact sheets. | [grid_stitch.md](./wiki/nodes/grid_stitch.md) | --- ## 📋 Canonical Workflow Guides | # | Workflow Name | Primary Instruments | Key Use Case | Documentation | | :---: | :--- | :--- | :--- | :--- | | **01** | **Concept Blender** | Compass Pro (Slerp) | Geodesic blend between two prompts at Step 0. | [wf_01_concept_blender.md](./wiki/workflows/wf_01_concept_blender.md) | | **02** | **Text-Steered Lighting** | Cross-Modal + Compass (Ortho) | Project natural language lighting onto locked geometry. | [wf_02_text_steered.md](./wiki/workflows/wf_02_text_steered.md) | | **03** | **Manifold Grid** | Manifold Explorer | 2D topological surface variation grid. | [wf_03_manifold_grid.md](./wiki/workflows/wf_03_manifold_grid.md) | | **04** | **Brand-Locked Lighting** | GPS Anchor + Compass (Ortho) | Capture brand lighting grammar and project across products. | [wf_04_brand_locked.md](./wiki/workflows/wf_04_brand_locked.md) | | **05** | **Semantic Slider** | Semantic Slider (PCA/SVD) | Real-time covariance attribute modulation. | [wf_05_semantic_slider.md](./wiki/workflows/wf_05_semantic_slider.md) | | **06** | **Architecture Material Matrix** | Cross-Modal + Manifold | 2D material $\times$ elevation architectural sweep. | [wf_06_arch_material_matrix.md](./wiki/workflows/wf_06_arch_material_matrix.md) | | **07** | **Likeness Isolator** | Likeness Isolator + Compass | Differential LoRA identity token isolation. | [wf_07_likeness_isolator.md](./wiki/workflows/wf_07_likeness_isolator.md) | | **08** | **Harmonic Orbiter** | Circular Orbit (Geodesic) | Constant-radius closed-loop 360° architectural/product tour. | [wf_08_harmonic_orbiter.md](./wiki/workflows/wf_08_harmonic_orbiter.md) | | **09** | **Subspace Material Matrix** | Channel Split + Merge + Stabilizer | Subspace frequency band decoupling (100% silhouette lock). | [wf_09_subspace_material.md](./wiki/workflows/wf_09_subspace_material.md) | | **10** | **Pro Multi-Instrument Pipeline**| Full Chained Flight Deck | End-to-end multi-instrument production validation. | [wf_10_pro_pipeline.md](./wiki/workflows/wf_10_pro_pipeline.md) | --- ## 🔬 Mathematical & Theoretical Deep Dives For power users, machine learning engineers, and researchers seeking the mathematical formulations underlying Gimbal: - **[What is Latent Space?](./wiki/concepts/latent_space.md)** — Intuitive guide to high-dimensional manifold topology and VAE compression. - **[SLERP vs. LERP: Why the Arc Matters](./wiki/concepts/slerp_vs_lerp.md)** — Mathematical derivation of midpoint variance collapse and empirical $\mu$-centered SLERP (Equation E4). - **[The Gaussian Annulus Theorem](./wiki/concepts/gaussian_annulus.md)** — Proof of why high-dimensional mass concentrates on a thin hypersphere shell in $\mathbb{R}^{65,536}$. - **[Channel Architecture: 4ch (SDXL) vs. 16ch (FLUX.1)](./wiki/concepts/channel_architecture.md)** — Subspace frequency band decoupling and broad-spectrum cluster mapping. - **[The LAMNr Framework (Equations E1–E13)](./wiki/concepts/lamnr_framework.md)** — Full technical dossier covering normalizing flows, Woodbury matrix MMSE inversion, Mahalanobis OOD metrics, and Total Correlation. - **[Failure Case Studies & Remediations](./wiki/concepts/failure_case_studies.md)** — Audited post-mortems of Step-8 SLERP collisions, CFG variance frying, analogy double-exposures, and delta-zero collapse. --- ## 📖 Project History - **[Creation Timeline & Development History](./wiki/history/project_history.md)** — The evolutionary story from the original pre-alpha "Wayfinder" prototype, through the "Latent Explorer" LAMNr research era and Run 4 failure remediations, to the certified "Gimbal" node suite. --- ## 🙏 Acknowledgments & Co-Pilot Attribution This project exists at the intersection of human architectural direction and high-dimensional synthetic collaboration. Deep gratitude is owed to the multi-agent AI flight crew who filled specialized roles across mathematical modeling, CUDA optimization, documentation drafting, and refactoring: ### The AI Flight Deck * **Anthropic:** Claude 3.5 / 3.7 Sonnet *(Architectural refactoring & core node logic)* * **Google DeepMind:** Gemini 3.1 Pro & Gemini 3.7 Flash *(Research synthesis & telemetry pipeline design)* * **DeepSeek:** DeepSeek V3 / R1 / 4 Pro *(low-rank tensor calculus)* * **Moonshot AI:** Kimi k3 *(Long-context analysis & codebase indexing)* * **Zhipu AI:** GLM-5.2 *(Mathematical derivations & logic audits)* * **Xiaomi:** MiMo 2.5 Pro *(Subspace routing & auxiliary pipeline support)* * **Laguna:** Laguna S2 *(Specialized inference tasks and workflow testing)* --- ### Foundational Grounding * **Christina:** For the breath, clarity, and perseverance through deep debugging sessions. * **Kyle:** For endless patience, belief, and foundational support behind the scenes. ## 📚 Research & Theoretical Foundations Gimbal's mathematical core and latent flight dynamics are grounded in foundational research across generative models, high-dimensional geometry, and subspace decomposition: * **Latent Diffusion Architectures:** * Rombach, R., Blattmann, A., Lorenz, D., Esser, P., & Ommer, B. (2022). *High-Resolution Image Synthesis with Latent Diffusion Models*. CVPR. * Ho, J., Jain, A., & Abbeel, P. (2020). *Denoising Diffusion Probabilistic Models*. NeurIPS. * **Spherical Geometry & Interpolation Dynamics:** * Shoemake, K. (1985). *Animating Rotation with Quaternion Curves (SLERP)*. ACM SIGGRAPH. * Blum, A., Hopcroft, J., & Kannan, R. (2020). *Foundations of Data Science* (Geometry of High Dimensions & Annulus Theorem). Cambridge University Press. * **Subspace Decomposition & Orthogonal Steering:** * Härkönen, E., Hertzmann, A., Lehtinen, J., & Paris, S. (2020). *Ganspace: Discovering Interpretable GAN Controls*. NeurIPS. * Shen, Y., Gu, J., Tang, X., & Zhou, B. (2020). *Interpreting the Latent Space for Semantic Face Editing*. IEEE TPAMI. * **Statistical Telemetry & Manifold Regularization:** * Lee, K., Lee, K., Lee, H., & Shin, J. (2018). *A Simple Unified Framework for Detecting Out-of-Distribution Samples (Mahalanobis Distance)*. NeurIPS. * Brock, A., Donahue, J., & Simonyan, K. (2018). *Large Scale GAN Training for High Fidelity Natural Image Synthesis (Truncation)*. ICLR.

🔀 Gimbal Channel Split

Inputs (2)

Outputs (3)