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Human Interpretable Virtual Metrology in the Semiconductor Manufacturing

AAAI 2025 · Label-efficient and robust learning › Recognition and long-tail · approach: Prototype and concept dictionary models · 0 citations (OpenAlex)

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Doctoral consortium paper proposing a multi-output virtual metrology system for PVD metal layers with a model-agnostic explanation method based on projective operators (ProjSe) and a stability index.

Problem

Virtual metrology in semiconductor manufacturing needs accurate, explainable multi-output prediction of metal-layer physical properties (thickness, resistance at 17 points) from equipment sensor process parameters, which current methods lack.

Approach

Extends the projective selection (ProjSe) variable-selection theory to a model-agnostic explanation method for vector-valued (multi-output) predictions, plus a stability index for explanations, and compares it to SHAP and TreeInterpreter.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the projective-operator explanatory method instead of SHAP or TreeInterpreterProjective-operator explanatory method · Real-world datasetscomputation timeHelped
Use the projective-operator explanatory method instead of SHAP or TreeInterpreterProjective-operator explanatory method · Real-world datasetsstability indexNo clear effect
Use the projective-operator explanatory method instead of SHAP or TreeInterpreterProjective-operator explanatory method · Real-world datasetscorrelationNo clear effect
Select and rank process parameters with ProjSeVirtual metrology system for PVD metal-layer properties · Semiconductor manufacturer datasetfeature-selection alignment with expert knowledgeHelped

Surprising findings

Limitations

Experimental setup

Datasets: industrial PVD process data from a semiconductor manufacturer (Infineon)

Benchmarks: industrial PVD virtual metrology dataset

Metrics: computation time stability index correlation

Baselines: SHAP TreeInterpreter tree-model-based feature selection

Builds on: ProjSe SHAP LIME

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