residue_fault_locate — RESIDUE robust op

• データ種: matrix × signal → table

• 呼び出し: import fullseye as fs; fs.ledger.residue_fault_locate(residues, periods, weights=None, lo=0.0, hi=None, tol=0.05) -> 'dict' (実装を直接呼ぶなら import residue; residue.residue_fault_locate(residues, periods, weights=None, lo=0.0, hi=None, tol=0.05) -> 'dict'、台帳から引くなら opsresidue.get("residue_fault_locate"))

使い方

どの帯域が壊れているか(冗長剰余数系)-> dict。

> 以下の詳細説明は原文のままです —— 要約と見出しは訳出済み。

With more bands than [lo, hi) needs, the bands check each other. Each band is left out in turn and the rest are solved; the band whose removal leaves a consistent set (every residual within tol x its period) while itself disagreeing by more than tol is the corrupted one. If no single removal is consistent, or two different removals both are, the answer is undecidable and the value is NaN — never a guess.

Returns {"value", "faulty", "consistent_all", "worst_leave_one_out"}:

faulty is the band index, -1 = all bands agree (no fault), -2 = undecidable. Localising one fault needs the range to be resolvable by every subset of N-1 bands (it is refused otherwise); the narrower [lo, hi) is relative to the periods' least common multiple, the more of the redundancy is left to localise with.

参考(サンプルデータ・文献)

• サンプルデータ カタログ(DL URL / ライセンス) — 2-D は skimage.data(BSD/public)+ 合成、3-D は実データ源(Stanford/PDS 等)の DL URL。

• 演算子の来歴・参考文献 — この op 族の元になった研究/手法の出典。

• アルゴリズムの正典(著者・年)と用途は上記ファミリ使い方ガイドに記載。

実行できる例(この op を実際に呼ぶ検証済みサンプル)

• poc_residue_crt — py -3.11 examples/poc_residue_crt.py

型が繋がる次の op(table を入力に取れる)

—

同カテゴリ(robust)

residue_crt

*Provenance: residue.py — RESIDUE operator registry. この per-op ノートは tools/opdocs.py md が自動生成(手編集しない)。*

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.