Kenneth Cheng · Macau
From pattern formation and nonlinear mechanics to scientific institutions, reliability, and experimental design: reproducible computation, explicit assumptions, and honest limits turn models into testable research questions.
Latest writing
Every research article is manually written from verified private ScienceProject results and supported by approved figures, numerical checks, negative findings, claim boundaries, and references.
Delayed regional totals can support a precise-looking estimate without tightly constraining the hidden state. A six-region synthetic SIR benchmark compares ensemble intervals with validated set bounds, including the cost of bounds that become almost useless.
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Equal update counts do not guarantee stable feedback. A delayed two-choice model shows why allowing one extra slot between updates can stabilize a system, and why its smallest fairness relaxation is not its fastest schedule.
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A system that recovers slowly and an environment that persists can leave the same statistical signature. An exactly sampled stochastic experiment shows what passive monitoring can identify, and which extra observations change the question.
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Research is organized by questions and methods, not only by publication date.
Spatial disease, ecosystems, coastal risk, climate forcing, and energy-environment interactions.
Pathways from an open-ended question to assumptions, computation, critique, and communication.
Sensitivity, calibration, robustness, and decision-making when model inputs or operating conditions are uncertain.
Models of routing, accessibility, traffic stability, fleet operations, and infrastructure trade-offs.
Selected research
Only projects with a clear question, reviewed figures, and visible assumptions and limitations appear here.
A reproducible Phase-1 study checks a synthetic low-copy exclusive genetic toggle with an error-bounded finite-state reference and seeded direct SSA.
A controlled false-threshold audit of melt-pond connectivity under blur, downsampling, segmentation error, finite windows, and morphology shift.
A reproducible synthetic study of memory decay, cutoff scheduling, tail latency, and evidence-aware abstention in a four-link quantum repeater chain.
Teaching
Courses, interactive models, Python laboratories, and mentoring form a path from first assumptions to independent inquiry.
New local teaching resourceMacau School Mathematics Competition ArchiveJunior and Senior Divisions from 2019 to 2025/2026: 214 source-verified solutions, 46 diagrams, and expandable examples.Open the solution archive →Student research milestoneAI4Nature@AVSS 2026 · Paper ID 7A student team I mentored is listed with me as co-author for “From Pixels to Patrols,” scheduled in the workshop's oral programme on 31 August 2026.See the mentoring outcome and official record →