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cableanalytics

Project E · Manufacturing to physics — the predictive layer
05 / 07

Connects production-line records to measured high-frequency cable performance, and predicts one from the other.

240production samples3extrusion lines90 %prediction intervals14tests8 pptechnical report
Problem

The problem

A cable's high-frequency performance is decided on the extrusion line — conductor diameter, insulation concentricity, foaming, line speed — hours before any network analyser sees it. The laboratory measures the consequence; the factory sets the cause. In most organisations those two datasets never meet.

If they did meet, two expensive questions would get cheap answers: which process parameter is costing us margin, and what will this batch measure like — before it is measured, or even made.

System

What was built

The bridge between those datasets: physics first, statistics only for what the physics cannot see, and an honest interval on every prediction.

Two datasetsextrusion-line records + inline gauge logs · measured loss curves and impedance
Loss decompositionα = c/√f + a√f + b·f — conductor, dielectric and DC terms separated, with covariance
Temperature deratingmaterial coefficients fitted across climate-chamber sweeps, points weighted by fit uncertainty
Physics-informed predictionalloy resistivity, permittivity, foaming, geometry → predicted a, b, Z
Data-driven correctionridge regression on what physics misses — line effects, gauge ripple — cross-validated, boosted trees as the challenger
Prediction with intervalsa, b, Z with 90 % prediction intervals, per production record
Takes
  • A production dataset: 240 samples, 3 lines, 4 designs, 20 lots — nuisance factors deliberately included
  • Inline gauge logs (diameter against length)
  • Measured loss fits and impedance from cablecheck
  • Climate-chamber sweeps for the derating fit
Produces
  • Predicted loss coefficients and impedance with 90 % intervals
  • A temperature-derating model per design
  • Ripple attribution: which periodic gauge structure causes which return-loss resonance
  • Sensitivity of performance to each process parameter
Engineering

The hard part

The tempting approach — throw the whole table at a gradient-boosted model — produces impressive in-sample numbers and no understanding. The discipline here is the ordering: the physics model predicts first, from resistivity, permittivity and geometry alone; the statistical layer is only allowed to correct the residual. Cross-validation then answers the question that matters — does the correction genuinely beat physics-only, and does the black-box challenger genuinely beat either? The answer is reported rather than assumed, fold by fold.

The subtlest piece connects geometry to resonance: a periodic diameter variation from the extrusion process acts as a Bragg reflector, producing a return-loss spike at exactly the frequency whose half-wavelength matches the gauge period. The package computes that attribution both ways — from the gauge log to the predicted resonance, and from a measured resonance back to the process period that caused it.

Return-loss resonance aligned with the periodic structure in the extrusion gauge log.
FIG. 01  The factory, visible at 200 MHz: a periodic gauge variation on the line becomes a Bragg resonance in return loss — attributed in both directions.
Evidence

Checked against ground truth

Judged the only way a predictive model honestly can be: on samples it never saw.

What was checkedResult
Physics-only prediction (the baseline to beat)reported per target, per fold
Physics + ridge correctionbeats physics-only out of sample
Boosted-tree challengerreported alongside — not better enough to buy its opacity
90 % prediction intervalsfrom residual quantiles, checked by coverage
Derating model vs held-out temperatureswithin the stated fit uncertainty
Ripple attributiongauge period ↔ resonance frequency, both directions
Predicted against measured loss coefficient with intervals for held-out samples.
FIG. 02  Predicted vs measured, out of sample: the intervals are the honest part — every point carries one.
Fitted derating of loss with temperature.
FIG. 03  Temperature, separated by mechanism: conductor and dielectric losses derate differently, and the fit keeps them apart.
Declared limits

What it does not claim

From the report's own limitations section:

  • The production dataset is generated — structured like real extrusion data, nuisance factors included, but synthetic.
  • Intervals are marginal per coefficient; joint prediction regions are not attempted.
  • The physics layer is transmission-line analytics, not electromagnetic field simulation.
Context

Where it sits in the toolchain

Fed by cablecheck's measured quantities and consumed at the very top of the stack: when a linktwin harness names a production sample as its cable, this package predicts the coefficients — and its 90 % intervals become the uncertainty the twin's Monte Carlo draws from. A cable that exists only as a row of process data becomes a link element with error bars.

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