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math.OC2026
Constructing Pareto Sets Using Noether's Second Theorem
Evgeny Nikulchev
This paper presents an analytical approach to constructing the Pareto set in multiobjective variational control problems, based on Noether's second theorem. A fundamental connectio…
eess.SY2026
Reconstruction of chaotic systems in invariant jet space
Evgeny Nikulchev
Takens' theorem is the gold standard for attractor reconstruction from time series, but it guarantees only topological equivalence and does not preserve metric or group properties…
cs.LG2026
Neural Network Implementation of the Renormalization Group for Fault Diagnosis with Class Imbalance
Evgeny Nikulchev, Dmitry Ilin
The application of machine learning models in practical tasks faces challenges such as class imbalance and multidimensional noise. This paper proposes RGNet, a neural network archi…