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| 1 | +# 3DGS Genetics 4x4 Fanout Plan — lance-graph |
| 2 | + |
| 3 | +## Goal |
| 4 | + |
| 5 | +Explore how the 3DGS raw-field and 4x4 cognitive-shader representation can fan out into genetics and molecular sequence analysis. |
| 6 | + |
| 7 | +This is an exploratory plan. It should not block the geospatial or ultrasound paths. |
| 8 | + |
| 9 | +## Core analogy |
| 10 | + |
| 11 | +```text |
| 12 | +3DGS geospatial field |
| 13 | + local anisotropic kernels over space |
| 14 | +
|
| 15 | +genetic field |
| 16 | + local anisotropic kernels over sequence, expression, structure, and time |
| 17 | +``` |
| 18 | + |
| 19 | +A genetic block is not literally a visual splat. It is a compact kernel carrying local evidence and uncertainty. |
| 20 | + |
| 21 | +## 4x4 carrier interpretation |
| 22 | + |
| 23 | +```text |
| 24 | +lane0: sequence coordinate / genomic locus / k-mer index |
| 25 | +lane1: transition state / motif covariance / edit-distance neighborhood |
| 26 | +lane2: expression / methylation / abundance / confidence |
| 27 | +lane3: time / sample / lineage / provenance |
| 28 | +``` |
| 29 | + |
| 30 | +## (4x4)^4 grammar |
| 31 | + |
| 32 | +Use `(4x4)^4` as a four-level block hierarchy: |
| 33 | + |
| 34 | +```text |
| 35 | +level 0: local motif carrier |
| 36 | +level 1: motif block |
| 37 | +level 2: gene/regulatory region block |
| 38 | +level 3: pathway / cell-state / population block |
| 39 | +``` |
| 40 | + |
| 41 | +This mirrors: |
| 42 | + |
| 43 | +```text |
| 44 | +splat -> block -> tile -> region |
| 45 | +motif -> gene -> pathway -> phenotype |
| 46 | +``` |
| 47 | + |
| 48 | +## Data sources |
| 49 | + |
| 50 | +Potential future sources: |
| 51 | + |
| 52 | +```text |
| 53 | +FASTA / FASTQ |
| 54 | +variant calls |
| 55 | +expression matrices |
| 56 | +single-cell count matrices |
| 57 | +methylation tracks |
| 58 | +protein/domain annotations |
| 59 | +pathway graphs |
| 60 | +``` |
| 61 | + |
| 62 | +## Graph model |
| 63 | + |
| 64 | +```text |
| 65 | +Sample -> SequenceFrame -> MotifBlock -> Gene -> Pathway -> Phenotype |
| 66 | +Sample -> ExpressionFrame -> ExpressionBlock -> CellType -> State |
| 67 | +``` |
| 68 | + |
| 69 | +## Tables |
| 70 | + |
| 71 | +Possible tables: |
| 72 | + |
| 73 | +```text |
| 74 | +genetic_sources |
| 75 | +genetic_frames |
| 76 | +motif_blocks |
| 77 | +gene_features |
| 78 | +variant_features |
| 79 | +expression_blocks |
| 80 | +genetic_certificates |
| 81 | +``` |
| 82 | + |
| 83 | +## Kernel-fit idea |
| 84 | + |
| 85 | +Convert local sequence/expression regions into kernels: |
| 86 | + |
| 87 | +```text |
| 88 | +sequence window |
| 89 | + -> k-mer / edit neighborhood / motif statistics |
| 90 | + -> 4x4 carrier |
| 91 | + -> certificate |
| 92 | + -> graph feature |
| 93 | +``` |
| 94 | + |
| 95 | +## Certificates |
| 96 | + |
| 97 | +Possible certificate types: |
| 98 | + |
| 99 | +```text |
| 100 | +motif sampling confidence |
| 101 | +variant neighborhood stability |
| 102 | +expression block variance |
| 103 | +batch-effect residual |
| 104 | +lineage transition confidence |
| 105 | +quantization error |
| 106 | +``` |
| 107 | + |
| 108 | +## HHTL relevance |
| 109 | + |
| 110 | +Use HHTL-style cascade to avoid full dense scans: |
| 111 | + |
| 112 | +```text |
| 113 | +HEEL: k-mer / hash prefix candidate |
| 114 | +HIP: edit-distance or motif score |
| 115 | +TWIG: expression/covariance refinement |
| 116 | +LEAF: exact alignment/statistical test |
| 117 | +``` |
| 118 | + |
| 119 | +## Acceptance criteria for promotion |
| 120 | + |
| 121 | +Promote this into implementation only when: |
| 122 | + |
| 123 | +- a small public fixture is selected |
| 124 | +- a domain-specific decoder is scoped |
| 125 | +- the 4x4 carrier has a precise biological meaning |
| 126 | +- certificates are meaningful and not decorative |
| 127 | +- no medical/diagnostic claims are made |
| 128 | + |
| 129 | +## Boundary |
| 130 | + |
| 131 | +This plan is for representation and research tooling. It is not a clinical genomics product plan. |
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