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arXiv 0911.2197math.PRcs.ITmath.ITphysics.data-an
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可拓逻辑与最大熵原理关系的数值研究

On the relation between plausibility logic and the maximum-entropy principle: a numerical study

P. G. L. Porta Mana

摘要:

可解释性逻辑与最大熵原理有什么关系?原则在什么情况下会给出不合理或错误的结果?什么时候使用“期望值=平均值”规则是合适的?可解释性逻辑能给出与原则相同的答案吗?如果原则的答案不合理,它能给出更好的答案吗?为了尝试回答这些问题,本研究提供了一个数值收集的概率分布的最大熵原则和概率逻辑的一组15个简单的问题:掷骰子。

英文摘要:

What is the relationship between plausibility logic and the principle of maximum entropy? When does the principle give unreasonable or wrong results? When is it appropriate to use the rule `expectation = average'? Can plausibility logic give the same answers as the principle, and better answers if those of the principle are unreasonable? To try to answer these questions, this study offers a numerical collection of plausibility distributions given by the maximum-entropy principle and by plausibility logic for a set of fifteen simple problems: throwing dice.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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