What question did this study set out to answer?

The research aims to enhance the Knowledge Decay Framework (KDF) for preserving information using deterministic graph-compression methods.

May 12, 2026Open Access

KDF: A Deterministic Architecture for Finite-Resource Information Preservation—Cross-Domain Evidence and Self-Refutation of Canonical Values

Key Points

The research aims to enhance the Knowledge Decay Framework (KDF) for preserving information using deterministic graph-compression methods.
Integrated Phase 2 / Phase 2.5 systematic verification of KDF.
Cross-domain empirical testing on multiple datasets including NASA HTTP and Apache.
Development of a reproducibility guide for findings and code mapping.
Enhanced KDF demonstrates a 3.06pt improvement in streaming data recall (F-072).
Substantial decline in findings for specific settings, notably -13.04pt on recurring events (F-087).
Successful cross-domain replication identified positive benefits up to +33.33pt on certain datasets (F-097).

Abstract

Version 2. 7 of the KDF (Knowledge Decay Framework) paper, integrating the Phase 2 / Phase 2. 5 systematic verification arc. KDF is a deterministic graph-compression technique combining three mechanisms—edge-based exponential decay, rarity protection under degE (v) <= 1, and integrity discovery via Laplacian eigenvalue fingerprints. v1 (deposited 2026-04-19) was anchored on F-072 NASA HTTP streaming (+3. 06pt rare-recall improvement). Version 2. 7 adds 23 cross-domain findings (F-073 through F-100) producing a 7-pattern empirical arc of 5 narrowing findings + 2 positive cross-domain replications. Key v2 substantive changes: - Streaming benefit narrows to "temporally recurring rare events" (F-087 Apache replication: -13. 04 pt sign reversal). - Canonical alpha=2. 0 narrows to NASA-recurring-rare specific (F-091, Apache optimal at alpha=4. 0). - Claim 31 functional rare protection narrows to non-adversarial settings (F-092). - Bias-detector commercial predictor path withdrawn (F-090: 5/11=45. 5% << 70% pre-registered threshold). - Direct SOTA-beating positioning retracted (F-073 / F-074 / F-075 LOSS). - Recurring-rare benefit empirically replicated cross-domain on N=3 datasets (NASA HTTP +3. 06pt, Apache error +3. 67pt, BGL HW kernel +33. 33pt; F-094 / F-097 PASS) but FAILS on distributed file system log (F-100 HDFS: HR+ₗiteral -23. 08pt, Hₐnomaly -4. 30pt) — narrowing cross-domain coverage to web access log family + HW kernel log family specific. The v2 grounded position is four product candidates (Obsidian / MovieLens niche / Mem0 hybrid Router / Git Core preservation) plus the F-086 gamma domain-fit predictor. A new Reproducibility Guide (REPRODUCIBILITY. md, included in this deposit) provides single-index mapping of all F-xxx findings to reproducer code, run commands, and expected output. Quick Start covers the three highest-impact findings: F-072 (+3. 06pt streaming anchor), F-087 (-13. 04pt narrowing), and F-097 (+33. 33pt cross-family positive replication). License note: Paper text is CC BY 4. 0. Source code at https: //github. com/ChaiCroquis/kdf-perovskite is separately licensed under PolyForm Noncommercial 1. 0. 0; commercial licenses for the source code and for practicing patent JP 2026-027032 (filed 2026-02-24, Japan Patent Office) are available via the repository's COMMERCIAL. md.

KDF: A Deterministic Architecture for Finite-Resource Information Preservation—Cross-Domain Evidence and Self-Refutation of Canonical Values

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Abstract

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