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     Quick Analysis Plan



    A rigorous plan: reproduce the TabPFN v2 Gβ€² prediction pipeline (45 training points, unseen PAS n=4/8/15 and 10 Β΅M IPTG test set), benchmark against GPR and linear regression, verify the reported RΒ²=0.851/RMSE=1001 Pa, then implement grid-based multi-property inverse design using Gβ€², thickness, and curli content. Code is slated for github.com/pgoo-dev/data-driven-elm-design.git per the authors


     Long Analysis Plan



    1. Reproduction pipeline (highest priority)

    Clone the authors' repository (data-driven-elm-design.git) once released; stack versions match the paper: TabPFN v2 (v8.0.3), scikit-learn v1.3, Python 3.10, NumPy 1.24, pandas 2.0 . Build the training table as 45 rows (15 conditions Γ— n=3 hydrogels) with columns [PAS_n, IPTG_Β΅M] β†’ [Gβ€², thickness, curli]; 12-row independent test set (n=4, 8, 15 at 15 Β΅M; n=5 at 10 Β΅M) and 9-row permeability test set.

    Verification targets from Table 2: TabPFN RΒ²=0.851, RMSE=1001 Pa, RPIQ=4.59; GPR (MatΓ©rn 3/2) RΒ²=0.813; linear regression on log₁₀Gβ€² RΒ²=0.454 . Also confirm the coverage claim: all independent Gβ€² measurements fell within TabPFN's 90% predictive interval .

    2. Cross-validation stress tests

    • Re-run LOCO (leave-one-condition-out) and LOIO (leave-one-IPTG-out) exactly as reported; expect permeability LOCO RΒ² to be negative while independent-test RΒ²=0.690 β€” reproduce this inconsistency and quantify how much of it stems from only 15 training points .
    • Reproduce the two-way ANOVA: PAS length explains 81.8% of Gβ€² variance (P < 0.0001); Gβ€² spans 1227Β±138 Pa (PAS20, 5 Β΅M) to 8615Β±1196 Pa (PAS1, 25 Β΅M) .

    3. Inverse-design module

    Implement the grid-based 2D sweep (PAS n Γ— IPTG) over the four TabPFN property models, normalize properties, and rank candidates by Manhattan (ℓ₁) distance. Validation check: multi-property targeting (Gβ€² + thickness + curli) should recover PAS8/15 Β΅M with distance β‰ˆ1 vs 14 for single-property Gβ€² targeting .

    4. Extensions beyond the paper (BGPT inference, clearly flagged)

    • Active learning loop: use TabPFN uncertainty to select the next PAS/IPTG experiment β€” a natural fit since the design space is only 2D and uncertainty was realistic on the test set.
    • UQ stress test: verify the 90% interval coverage on additional unseen conditions; the paper's test set (12 points) is too small for precise RΒ²/RPIQ confidence β€” treat published values as point estimates, not population parameters.
    • Thinness caveat: thickness RΒ²=βˆ’1.505 despite RMSE=21 Β΅m (~5–8% of the 267 Β΅m mean) β€” replicate with bootstrapped CIs on RΒ² before using thickness in any design loop .

    5. Known blind spots

    One chassis (E. coli PHL628 Ξ”CsgA), one matrix protein (CsgA-PASn), two design parameters, one permeability probe (40 kDa FITC-dextran); extrapolation beyond the PAS/IPTG space is untested, and no mechanistic experiments validated why PAS length dominates Gβ€² variance. Generality to other ELM platforms is asserted, not demonstrated.



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    Updated: November 05, 2026

     DataGen



    Simulated TabPFN active-learning value-of-information curve: expected RΒ² gain per added experiment on a 2D PAS/IPTG grid, assuming 45 baseline points, base RΒ²=0.851, diminishing returns with 1/√n uncertainty scaling, Β±1 SD band across 200 Monte Carlo draws. Clearly simulated β€” not observed data. Generated scientific data; not direct experimental measurements.

     Hypothesis Graveyard



    TabPFN fundamentally outperforms GPR on small tabular materials data β€” not supported here: GPR was within Ξ”RΒ²=0.038 on the independent set; the apparent superiority may reflect a single small test set (12 points) rather than a robust model ranking.

     Science Art


    TabPFN hydrogel Science Art

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