mc_sequential_mean — CONVERGE `montecarlo` op

• 数据种类:无 → table(仅由参数决定的算子 —— 不接受图像或数据输入)

• 调用: import fullseye as fs; fs.ledger.mc_sequential_mean(sampler='pi', tol=0.01, rel_tol=0.0, confidence=0.95, batch=4096, max_samples=4000000, seed=0, on_fail='raise') -> 'dict'(要直接调用实现,import converge; converge.mc_sequential_mean(sampler='pi', tol=0.01, rel_tol=0.0, confidence=0.95, batch=4096, max_samples=4000000, seed=0, on_fail='raise') -> 'dict';从台账取用则 opsconverge.get("mc_sequential_mean"))

用法

序贯蒙特卡罗均值：不断加样本，直到置信区间窄于容许值。

> 以下的详细说明为原文 —— 摘要与标题已翻译。

sampler(rng, n) returns n i.i.d. samples (a 1-D array) — or the built-in "pi" (4 * [u^2 + v^2 <= 1], mean pi). Batch b is drawn from default_rng((seed, b)), so the result is reproducible and does not depend on how many batches came before.

Stops at the first batch boundary, from the second batch on, where the half-width z * s / sqrt(n) <= tol + rel_tol * |mean| (z from confidence; s the running sample standard deviation). This is the fixed-width sequential interval of Chow & Robbins 1965; never stopping inside the first two batches guards against an early, accidentally small variance (raise batch to guard more) — the actual coverage is checked by the gates, not assumed.

Returns mean, se, ci (lower, upper), half_width, n_samples (used), converged and history (n, mean, se per batch). Refusal: max_samples reached first raises NotConvergedError (on_fail="record" returns the record with mean = None and the running values under last_mean / last_se).

详细使用指南

• convergent_computation 族使用指南

参考(示例数据、文献)

• 示例数据目录(下载 URL / 许可证) —— 2-D 用 skimage.data(BSD/公有领域)加合成图,3-D 给出真实数据源(Stanford/PDS 等)的下载 URL。

• 算子来历与参考文献 —— 该算子族所依据的研究/方法出处。

• 算法的正典(作者、年份)与用途见上面的族使用指南。

可运行的示例(实际调用该算子并已验证的样例)

• (暂无)

类型可衔接的下一个算子(可接受 `table` 作为输入)

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同类别(`montecarlo`)

mc_photon_slab

*Provenance: converge.py — CONVERGE 算子登记表。本条目由 tools/opdocs.py md 自动生成(请勿手工编辑)。*

mc_sequential_mean — CONVERGE montecarlo op

用法