Abstract: An inner approximation algorithm is proposed for path-constrained dynamic optimization (PCDO) by iteratively solving restrictions of PCDO (RPCDO). Firstly, an upper bound function of the ...
We propose the Trust Region Preference Approximation (TRPA) algorithm ⚙️, which integrates rule-based optimization with preference-based optimization for LLM reasoning tasks 🤖🧠. As a ...
Institute of Mathematics, National Academy of Sciences of the Republic of Armenia, Yerevan, Armenia. Let’s start with an excursion into the two-century history of studying the classical Fourier series ...
\[ \gdef\bias{\mathrm{bias}} \gdef\deg{\mathrm{deg}} \gdef\indeg{\mathrm{indeg}} \gdef\outdeg{\mathrm{outdeg}} \gdef\Snap{\mathrm{Snap}} \gdef\RSnap{\mathrm{RefSnap ...
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ABSTRACT: The purpose of reoptimization using approximation methods—application of knowledge about the solution of the initial instance I, provided to achieve a better quality of approximation ...
In the research, they first proved that Algorithm 1 can be implemented in O（n 16 r+n 17）, where r is the time for one function evaluation. Then, they proved that Algorithm 2 is a 3-approximation ...
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