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Geometric-Mean Policy Optimization
arXiv.orgGroup Relative Policy Optimization (GRPO) has significantly enhanced the reasoning capability of large language models by optimizing the arithmetic mean of token-level rewards.
Yuzhong Zhao +11 more
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Arithmetic Means and Geometric Means: 10907
The American Mathematical Monthly, 2002Szilárd András, Michael Reid
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Measuring the Meanings of Arithmetic
The Arithmetic Teacher, 1960The meaningful method of teaching arithmetic is generally accepted by most teachers and professional educators, but to the best of the writer's knowledge few, if any, attempts have been made to measure the meanings of arithmetic. Standardized and teacher-made tests in the field of arithmetic usually measure abstract computational skills only. If we are
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International Journal of Mathematical Education in Science and Technology, 2011
The aim of this article is to establish some interesting inequalities involving arithmetic functions.
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The aim of this article is to establish some interesting inequalities involving arithmetic functions.
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An arithmetic and geometric mean-based multi-objective moth-flame optimization algorithm
Cluster ComputingSaroj Kumar +5 more
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The Arithmetic and Geometric Means
Journal of the London Mathematical Society, 1935openaire +2 more sources
On the Arithmetic Mean of the Square Roots of the First n Positive Integers
, 2017M. Merca
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Data extraction via histogram and arithmetic mean queries: Fundamental limits and algorithms
International Symposium on Information Theory, 2016I-Hsiang Wang +3 more
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