The ATA algorithm provides a novel approximation framework for analytic functions that cannot be expressed in closed-form via elementary or algebraic functions. It introduces a hybrid approximation ...
We propose the Trust Region Preference Approximation (TRPA) algorithm ⚙️, which integrates rule-based optimization with preference-based optimization for LLM reasoning tasks 🤖🧠. As a ...
Transactions of the American Mathematical Society, Vol. 223 (Oct., 1976), pp. 103-131 (29 pages) This paper demonstrates a Remez exchange algorithm applicable to approximation of real-valued ...
Mark Jerrum, Alistair Sinclair (UC Berkeley) and Eric Vigoda (Georgia Tech) received the Association for Computing Machinery (ACM) Test of Time Award at a virtual ceremony on Wednesday 23 June at the ...
Metric spaces form the backbone of modern computational geometry by providing a rigorous framework for measuring distances within abstract sets, while geometric approximation algorithms yield ...
Abstract: This paper is to construct new operation of approximation operators, and explore its calculation. First it proposes logical OR operation of variable precision upper approximation operator ...
Abstract: This paper concerns with a novel generalized policy iteration (GPI) algorithm with approximation errors. Approximation errors are explicitly considered in the GPI algorithm. The properties ...
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