Dynamic Response of Residuals to External Deviations in a Controlled Production Process
Why this work is in the frame
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Bibliographic record
Abstract
We present a general method for studying residual behavior of controlled autocorrelated processes subject to special-cause changes. Understanding residual response to a particular type of process change is important for selecting a proper control chart to monitor the process effectively. The method is introduced by analyzing the residual behavior of a controlled machining process described by a state-space model that has a simple structure and is representative of many real processes. The general method is then developed and applied to an ARIMA(p, l, q) process and to some special processes whose residual behavior has been investigated in the literature. Residual response to a general disturbance sequence is determined, and it is shown that the residual properties are independent of the type of feedback control applied to the process. Implications of this property for process control and monitoring are discussed.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.004 | 0.082 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.003 | 0.014 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it