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Record W4310607856 · doi:10.1002/9781119808602.ch7

Piecewise Learning and Control with Stability Guarantees

2022· other· en· W4310607856 on OpenAlex
Jun Liu, M. Farsi

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

Venuenot available
Typeother
Languageen
FieldEngineering
TopicControl Systems and Identification
Canadian institutionsUniversity of Waterloo
Fundersnot available
KeywordsPiecewiseParameterized complexityStability (learning theory)Benchmark (surveying)Flexibility (engineering)Computer scienceLyapunov functionMathematical optimizationProcess (computing)MathematicsControl (management)Control theory (sociology)Artificial intelligenceAlgorithmMachine learningNonlinear system

Abstract

fetched live from OpenAlex

This chapter extends the Structured Online Learning framework to allow use of a more flexible piecewise parameterized model. The goal is to improve computational complexity, while retaining flexibility in learning. The chapter provides closed-loop stability analysis of the unknown system and offers stability guarantees with learning. Employing a piecewise model will improve learning greatly by keeping the online computations needed for updating the model in a tractable size. The chapter proposes a piecewise learning and control framework, where process control engineers first obtain an estimation of the system and then solve an approximate optimal control in a closed-loop form. It provides an upper bound for the uncertainty in the identified piecewise model based on the observations. The chapter implements the obtained uncertainty bounds to synthesize a Lyapunov function for the closed-loop system. It then discusses two benchmark examples to numerically validate the approach.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not 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.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesInsufficient payload (model declined to judge)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: Not applicable
GenreCandidate signal: Other · Consensus signal: none
Teacher disagreement score0.592
Threshold uncertainty score0.990

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0110.000

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.

Opus teacher head0.003
GPT teacher head0.163
Teacher spread0.160 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Quick stats

Citations0
Published2022
Admission routes1
Has abstractyes

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