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فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

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Daci, Alfred, Vokhmintceva, Tatyana, Dhoska, Klodian, Dudek, Marek, Vokhmintcev, Aleksander, Abotaleb, Mostafa, Nagiyeva, Nigar. (1405). Certified Proximal Majorization for Robust Parameter Estimation in Differential Equations. سامانه مدیریت نشریات علمی, (), -. doi: 10.22034/cmde.2026.74748.3878
Alfred Daci; Tatyana Vokhmintceva; Klodian Dhoska; Marek Dudek; Aleksander Vokhmintcev; Mostafa Abotaleb; Nigar Nagiyeva. "Certified Proximal Majorization for Robust Parameter Estimation in Differential Equations". سامانه مدیریت نشریات علمی, , , 1405, -. doi: 10.22034/cmde.2026.74748.3878
Daci, Alfred, Vokhmintceva, Tatyana, Dhoska, Klodian, Dudek, Marek, Vokhmintcev, Aleksander, Abotaleb, Mostafa, Nagiyeva, Nigar. (1405). 'Certified Proximal Majorization for Robust Parameter Estimation in Differential Equations', سامانه مدیریت نشریات علمی, (), pp. -. doi: 10.22034/cmde.2026.74748.3878
Daci, Alfred, Vokhmintceva, Tatyana, Dhoska, Klodian, Dudek, Marek, Vokhmintcev, Aleksander, Abotaleb, Mostafa, Nagiyeva, Nigar. Certified Proximal Majorization for Robust Parameter Estimation in Differential Equations. سامانه مدیریت نشریات علمی, 1405; (): -. doi: 10.22034/cmde.2026.74748.3878

Certified Proximal Majorization for Robust Parameter Estimation in Differential Equations

Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 30 مهر 1405    اصل مقاله (6.94 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2026.74748.3878
نویسندگان
Alfred Daci1؛ Tatyana Vokhmintceva2؛ Klodian Dhoska3؛ Marek Dudek4؛ Aleksander Vokhmintcev* 5؛ Mostafa Abotaleb* 2؛ Nigar Nagiyeva6
1Department of Mathematical Engineering, Polytechnic University of Tirana, Albania.
2Engineering School of Digital Technologies, Yugra State University, Khanty-Mansiysk, Russia.
3Department of Mechanics, Polytechnic University of Tirana, Albania.
4AGH University of Krakow, Poland.
5Chelyabinsk State University, Chelyabinsk, Russia.
6Faculty of Physics and Mathematics, Department of Informatics, Nakhchivan State University, Nakhchivan, Azerbaijan.
چکیده
Stationarity computed from a numerical ODE solution need not persist for the continuous observation map. Theorem 8.1. transfers a feasible stationarity witness between these maps at the same parameter. For arctangent losses, explicit observation-map and sensitivity-error terms inflate the bound. Enlarging the residual tube preserves admissible slopes when discretization moves a residual across the nonsmooth cusp. The resulting decision rule separates further optimization from mesh refinement and records unresolved computations. Twelve scalar inequalities are verified pointwise by exact-rational enclosures. Numerical verification comprises 160 oscillator checks and a Khanty-Mansiysk January NDVI-related ODE calibration on three RK4 meshes; these use floating-point reference discrepancies, not validated integration bounds. The guarantee concerns local stationarity for the enlarged tube. It transfers neither an optimizer nor parameter accuracy, and a smaller stationarity bound does not establish better prediction.
کلیدواژه‌ها
ODE calibration؛ stationarity-certificate transfer؛ residual tube؛ nonsmooth optimization؛ sensitivity error
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تعداد مشاهده مقاله: 20
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