L1 ⚛ L1-161 ⊙ Testnet

Correlative Light-Electron Microscopy (CLEM)

Multimodal Fusion · Fluorescence + TEM/SEM on the same sample

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⬇ L1-161.md

# ⚛ L1 Principle — Correlative Light-Electron Microscopy (CLEM) **ID:** `L1-161` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Multimodal Fusion — *Fluorescence + TEM/SEM on the same sample* > **🎯 Problem class:** nonlinear inverse · **🧮 Solution space:** 2D fluorescence plus em > **📡 Carrier:** electron · **🌫 Noise:** shot poisson > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554242 --- ## 🧠 1. Introduction **Correlative Light-Electron Microscopy (CLEM)** is a **nonlinear inverse problem** whose unknown lives in **2D fluorescence plus em** space, within the **Fluorescence + TEM/SEM on the same sample** sub-domain of **Multimodal Fusion**. Measurements consist of electrons collected by an electron detector via a **correlative light electron** sensing mechanism. The forward operator applies, in order: L · fluorescence imaging operator; L · em imaging operator; L · multi scale registration operator; pixel-level spatial averaging on the detector. Observations are corrupted by Poisson shot noise from quantum-limited detection. Existence of the recovered 2D fluorescence plus em is guaranteed within the declared Omega bounds. Uniqueness is local rather than global (non-convex landscape); convergence depends on initialisation and priors. Stability is moderately conditioned (kappa_eff ~= 18); scale_mismatch dominates the stability cliff; sample_preparation_artifact and the remaining mismatch parameters contribute higher-order bias terms. Photon-shot-noise-limited (poisson counting) sets the irreducible data-fidelity floor, while TV / wavelet-sparsity / deep priors stabilise recovery at the ill-conditioned end of Omega. ## ⚙ 2. Forward Model Physical chain: **x** → L · fluorescence imaging → L · em imaging → L · multi scale registration → Spatial integration → **y** (detector). ``` y = ∫_A dA `L.multi_scale_registration` `L.em_imaging` `L.fluorescence_imaging` x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.fluorescence_imaging` | L · fluorescence imaging operator | | `L.em_imaging` | L · em imaging operator | | `L.multi_scale_registration` | L · multi scale registration operator | | `int.spatial` | Pixel-level spatial averaging on the detector | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Multimodal Fusion | | Sub domain | Fluorescence + TEM/SEM on the same sample | | Carrier | electron | | Problem class | nonlinear_inverse | | Solution space | 2D_fluorescence_plus_em | | Noise model | shot_poisson | | Integration axis | spatial | | Difficulty delta | 5 | | L dag | 4 | ## 📡 4. Measurement Model Existence of the recovered 2D fluorescence plus em is guaranteed within the declared Omega bounds. Uniqueness is local rather than global (non-convex landscape); convergence depends on initialisation and priors. Stability is moderately conditioned (kappa_eff ~= 18); scale_mismatch dominates the stability cliff; sample_preparation_artifact and the remaining mismatch parameters contribute higher-order bias terms. Photon-shot-noise-limited (poisson counting) sets the irreducible data-fidelity floor, while TV / wavelet-sparsity / deep priors stabilise recovery at the ill-conditioned end of Omega. | Metric | Value | |---|---| | Metric | PSNR_dB | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `clem` · **Forward operator:** `clem_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | H em | — | 4096 | | H lm | — | 2048 | | W em | — | 4096 | | W lm | — | 2048 | | Pixel em nm | nm | 2 | | Pixel lm nm | nm | 100 | | Scale mismatch | — | 0 | | Registration error | — | 0 | | Photobleaching pre em | — | 0 | | Sample preparation artifact | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H em | — | 1024 – 16384 | | H lm | — | 512 – 8192 | | W em | — | 1024 – 16384 | | W lm | — | 512 – 8192 | | Pixel em nm | nm | 0.5 – 10 | | Scale mismatch | — | 0.0 – 0.5 | | Registration error | — | 0.0 – 50 | | Photobleaching pre em | — | 0.0 – 0.8 | | Sample preparation artifact | — | 0.0 – 0.5 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 22.0 | Metric | Range | |---|---| | Psnr db | 5.0 – 40.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `360` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0xf35fddbabe325d6ca5fe6c6410ea24ed6f0dbe54917ab9803db29340d14582a6` - **Chain tx hash:** `0x0cab3a6a54a13fe4871cb9747b0a0f136cc5e75ef8c1c8b0267e631224c32aa5` - **Chain block:** `41554242` --- ## File Mapping This bundle consists of: `L1-161.md`, `L1-161.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-161.md` | Source of truth — edit this | Human or LLM | | `L1-161.json` | Structured metadata for the registry | LLM regenerates from the sections above | **Prompt for your LLM after editing this Markdown:** > Read the attached Markdown. Regenerate the sibling `.json` so every field matches. > Preserve the schema documented in the rows above. > Output each file in its own fenced code block tagged with the filename. > Output only the JSON object. _This Markdown was auto-synthesized from the catalog row for `L1-161`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-161.md).
Regenerate L1-161.json so every field matches the Markdown.
Preserve the schema documented in the File Mapping footer at the bottom of the MD.
Output each file in its own fenced code block tagged with the filename.

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L2-161-001 Correlative Light-Electron Microscopy (CLEM) Mismatch-Only Spec

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📋 JSON metadata

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  "domain": "Multimodal Fusion",
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    "regime": "Existence of the recovered 2D fluorescence plus em is guaranteed within the declared Omega bounds. Uniqueness is local rather than global (non-convex landscape); convergence depends on initialisation and priors. Stability is moderately conditioned (kappa_eff ~= 18); scale_mismatch dominates the stability cliff; sample_preparation_artifact and the remaining mismatch parameters contribute higher-order bias terms. Photon-shot-noise-limited (poisson counting) sets the irreducible data-fidelity floor, while TV / wavelet-sparsity / deep priors stabilise recovery at the ill-conditioned end of Omega.",
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    "sensing_mechanism": "correlative_light_electron",
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    "title": "Correlative Light-Electron Microscopy (CLEM)"
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  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Fluorescence + TEM/SEM on the same sample",
  "title": "Correlative Light-Electron Microscopy (CLEM)"
}

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