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2208.00584

A sensitivity-based approach to optimal sensor selection for process networks

Siyu Liu, Xunyuan Yin, Zhichao Pan, Jinfeng Liu

wrongmedium confidenceCounterexample detected
Category
math.DS
Journal tier
Specialist/Solid
Processed
Sep 28, 2025, 12:56 AM

Audit review

The paper proposes a greedy sensor-removal algorithm and repeatedly states it determines the minimum number of sensors and, among such subsets, maximizes a Gram–Schmidt-based degree-of-observability score D. However, no proof or sufficient structural assumptions are provided. The method in fact guarantees only inclusion-wise minimality (no further single removal preserves rank), not minimum cardinality or fixed-cardinality optimality of D. The candidate solution correctly formalizes the two-stage problem, identifies the algorithm’s true guarantee, and supplies counterexamples showing failure to (i) reach minimum cardinality and (ii) achieve even 1-swap optimality of D. Key claims in the paper therefore overstate what the method achieves. See the algorithm and claims in Section 4 (Algorithm 2 and surrounding text) and the definition of D in Equations (13)–(15) for the paper’s position.

Referee report (LaTeX)

\textbf{Recommendation:} major revisions

\textbf{Journal Tier:} specialist/solid

\textbf{Justification:}

The manuscript presents a practical sensitivity-based construction and a computationally efficient removal heuristic with promising empirical results. However, it asserts outcomes (minimum-cardinality selection and maximum degree-of-observability at that cardinality) that are not established and do not hold in general. The work requires major revisions to clarify guarantees, temper claims, and add discussion of limitations and possible remedies (e.g., local search).