CONSTRAINED FITTING · ENGINEERING EVIDENCE

When convergence isn't enough.

Caldrivon specializes in fitting models with many local groups and a small set of shared parameters. For supported models, it can enforce coefficient bounds and produce checkable statements about optimality and rounding error.

A result is certified only when the stated conditions are proved. If the search budget is exhausted, the engine abstains rather than inventing certainty.

Shared + local parametersExplicit constraintsEvidence before claims
TECHNICAL NOTE / R176
REAL-DATA EVALUATION · 11 NOV 2026
40,223

public observations in three selected test subsets

01Household powerCERTIFIED
02Bikeshare tripsCERTIFIED
03Steel energyABSTAINED

A solver can report convergence. A certificate has to say what was proved.

THE WORKING PRINCIPLE

01 / PUBLIC-DATA TRIAL

A real test, including the case that did not pass.

R176 was evaluated on selected subsets of three published datasets. The figures below come from the development-run report and its repeat run, not an independent customer test.

40,223REAL OBSERVATIONS
2 / 3FITS CERTIFIED
0SYNTHETIC INPUTS REPORTED
R176 developer-reported evaluation, November 2026. Counts are tested subsets, not the full source datasets.
Public datasetTested rowsR176 outcomeReported time
Household electricity20,156Certified219 ms
Capital Bikeshare17,379Certified · 12 local constraints binding150 ms
Steel plant energy2,688Abstained · search budget exhaustedNot reported
COMPARISON / SCIPY

The difference on the bicycle fit.

In the stated trial, tuned SciPy reported convergence but did not meet the preset objective tolerance on the Bikeshare case. It met that tolerance on household electricity. This is a case-specific comparison, not a claim that Caldrivon beats SciPy generally.

REPRODUCIBILITY / SCOPE

The outcome repeated.

A second development run reproduced the two reported certificates, the steel abstention, and the SciPy tolerance decisions. Independent case selection, external certificate checking, and customer workloads remain untested.

Review the scope. The original datasets are public; the tested subsets, fitted models, certificates, timing method and comparison settings have not yet been released as a complete independently reproducible benchmark package.
Read technical note

02 / THE SPECIALTY

Many local groups. A few shared parameters. A fit you can interrogate.

The method is built for a defined family of constrained fitting problems. It does not certify arbitrary models or every dataset.

A /

Shared structure

Fit groups that have their own local coefficients while sharing a smaller global parameter set.

B /

Explicit limits

Respect bounds such as nonnegative coefficients, and test the proposed fit against the specified model.

C /

Proof or abstention

Certify optimality and bound rounding error when the evidence closes. Otherwise report the limit rather than an unsupported result.

WHAT ISN'T CLAIMED

No universal solver superiority, no guaranteed certification within a fixed budget, and no independently verified customer deployment.

03 / SEPARATE ENGINEERING TRACK

Python repair, with a review trail.

Caldrivon also has an engineering workflow for bounded Python repair proposals, dependency inspection, trusted regression checks and human-controlled acceptance.

DIFFERENT EVIDENCE

R176's numerical fitting results do not validate Python code repair on customer repositories. That work requires its own case-by-case evaluation.

01

Define the failure

Start from an owned, reproducible Python issue and a clear test specification.

02

Inspect the impact

Review dependencies and define what code may be examined or changed.

03

Evaluate a candidate repair

Use bounded proposals and permitted tests against a known baseline.

04

Keep the decision human

Record what passed, what failed and what remains uncertain before any acceptance.

04 / WORK TOGETHER

Start with one difficult case.

We are looking for carefully scoped technical evaluations, not unrestricted access to a production system.

+

A suitable fitting problem

  • Real observations with many local groups and some shared parameters
  • Defined objective, coefficient bounds and target tolerance
  • A baseline result for comparison
  • Data approved for a narrow evaluation
—

Outside the initial scope

  • Guaranteed certificates on arbitrary models
  • Production changes or live customer credentials
  • Confidential data without an agreed handling process
  • Claims of general solver superiority or certified isolation
A DIRECT ENGINEERING CONVERSATION

Have a model that is difficult to fit convincingly?

Send the model class, constraints, approximate problem size and what your current solver reports. We can discuss whether a bounded, potentially paid evaluation makes sense. Python repair enquiries are welcome separately.

TRANSPARENCY

Caldrivon is an independent engineering project under active qualification. R176 timings, certificate outcomes and the SciPy comparison are developer-reported evaluations on preselected public-data subsets, not independent verification or proof of performance on other workloads. No customer deployments or general guarantees are claimed. Every engagement requires agreed scope, permissions and acceptance criteria.