numpy.histogram_bin_edges

numpy.histogram_bin_edges(a, bins=10, range=None, weights=None) [source]

Функция для вычисления только границ бинов, используемых функцией histogram.

Параметры

aarray_like

Входные данные. Гистограмма вычисляется по уплощенному массиву.

binsint or sequence of scalars or str, optional

Если bins является целым числом, оно определяет количество бинов с равной шириной в заданном диапазоне (по умолчанию 10). Если bins является последовательностью, она определяет границы бинов, включая правую границу, что позволяет использовать неравномерную ширину бинов.

Если bins является строкой из списка ниже, histogram_bin_edges будет использовать выбранный метод для вычисления оптимальной ширины бина и, соответственно, количества бинов (см. Notes для получения дополнительной информации об оценщиках) из данных, которые попадают в требуемый диапазон. Хотя ширина бина будет оптимальной для фактических данных в диапазоне, количество бинов будет вычислено для заполнения всего диапазона, включая пустые части. Для визуализации рекомендуется использовать опцию «auto». Данные с весами не поддерживаются для автоматического выбора размера бинов.

‘auto’: Максимум оценок «sturges» и «fd». Обеспечивает хорошую общую производительность.
‘fd’ (Оценщик Фридмана-Дикониса): Робастный (устойчивый к выбросам) оценщик, который учитывает изменчивость данных и размер данных.
‘doane’: Улучшенная версия оценщика Стерджеса, которая лучше работает с наборами данных, не являющимися нормальными.
‘scott’: Менее робастный оценщик, который учитывает изменчивость данных и размер данных.
‘stone’: Оценщик, основанный на оценке с перекрестной проверкой с выбросом одного значения интегрированной квадратичной ошибки. Может рассматриваться как обобщение правила Скотта.
‘rice’: Оценщик не учитывает изменчивость, а только размер данных. Обычно переоценивает необходимое количество бинов.
‘sturges’: Метод по умолчанию R, учитывает только размер данных. Оптимален только для гауссовых данных и недооценивает количество бинов для больших негауссовых наборов данных.
‘sqrt’: Оценщик квадратного корня (из размера данных), используемый в Excel и других программах для его скорости и простоты.

range(float, float), optional

Нижний и верхний пределы бинов. Если не указаны, диапазон просто (a.min(), a.max()). Значения за пределами диапазона игнорируются. Первый элемент диапазона должен быть меньше или равен второму. range также влияет на автоматическое вычисление бинов. Хотя ширина бина вычисляется оптимально на основе фактических данных в range, количество бинов будет заполнять весь диапазон, включая части, не содержащие данных.

weightsarray_like, optional

Массив весов, имеющий ту же форму, что и a. Каждое значение в a вносит свой вес в подсчет бина (вместо 1). В настоящее время это не используется ни одним из оценщиков бинов, но может быть использовано в будущем.

Возвращает

bin_edgesarray of dtype float: Границы, которые нужно передать в histogram

См. также

histogram

Примечания

Методы оценки оптимального числа бинов хорошо обоснованы в литературе и вдохновлены выбором, который предоставляет R для визуализации гистограмм. Обратите внимание, что число бинов пропорционально $n^{1/3}$ , что является причиной его присутствия в большинстве оценок. Это просто методы подстановки, которые дают хорошие исходные точки для числа бинов. В приведенных ниже уравнениях, $h$ — это шаг бина, и

$n_h$ — количество бинов. Все оценщики, которые вычисляют количество бинов, пересчитываются в ширину бина с использованием ptp данных. Окончательное количество бинов получается из np.round(np.ceil(range / h)).

‘auto’ (максимум оценок ‘sturges’ и ‘fd’): Компромиссное значение. Для небольших наборов данных обычно выбирается значение Sturges, а для больших наборов данных — FD. Избегает чрезмерно консервативного поведения FD и Sturges для малых и больших наборов данных соответственно. Точка переключения обычно

<img alt="размер a примерно 1000" class="math" 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

.
‘fd’ (Оценщик Фридмана-Дикона)

<img alt="h = 2 \frac{IQR}{n^{1/3}}" 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

Ширина бина пропорциональна межквартильному размаху (IQR) и обратно пропорциональна кубическому корню от a.size. Может быть слишком консервативной для малых наборов данных, но довольно хорошей для больших наборов данных. IQR очень устойчив к выбросам.
‘scott’

<img alt="h = \sigma \sqrt[3]{\frac{24 * \sqrt{\pi}}{n}}" src="data:image/svg+xml;base64,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

Ширина бина пропорциональна стандартному отклонению данных и обратно пропорциональна кубическому корню из x.size. Может быть слишком консервативной для небольших наборов данных, но довольно хороша для больших. Стандартное отклонение не очень устойчиво к выбросам. Значения очень похожи на оценщик Фридмана-Диакониса в отсутствие выбросов.
‘rice’: $n_h = 2n^{1/3}$

Число бинов пропорционально только кубическому корню из a.size. Он имеет тенденцию к переоценке числа бинов и не учитывает вариативность данных.
‘sturges’

<img alt="n_h = \log _{2}n+1" src="data:image/svg+xml;base64,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

Количество бинов равно логарифму по основанию 2 от a.size. Этот оценщик предполагает нормальность данных и является слишком консервативным для больших, ненормальных наборов данных. Это метод по умолчанию в методе R’s hist.
‘doane’

<img alt="n_h = 1 + \log_{2}(n) + \log_{2}(1 + \frac{|g_1|}{\sigma_{g_1}}) g_1 = mean[(\frac{x - \mu}{\sigma})^3] \sigma_{g_1} = \sqrt{\frac{6(n - 2)}{(n + 1)(n + 3)}}" 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

Улучшенная версия формулы Стэрджеса, которая дает лучшие оценки для наборов данных, не являющихся нормальными. Этот оценщик пытается учесть асимметрию данных.
‘sqrt’: $n_h = \sqrt n$

Самый простой и быстрый оценщик. Учитывает только размер данных.

Примеры

>>> arr = np.array([0, 0, 0, 1, 2, 3, 3, 4, 5])
>>> np.histogram_bin_edges(arr, bins='auto', range=(0, 1))
array([0.  , 0.25, 0.5 , 0.75, 1.  ])
>>> np.histogram_bin_edges(arr, bins=2)
array([0. , 2.5, 5. ])

Для согласованности с гистограммой массив предварительно вычисленных бинов передается без изменений:

>>> np.histogram_bin_edges(arr, [1, 2])
array([1, 2])

Эта функция позволяет вычислить один набор бинов и повторно использовать его для нескольких гистограмм:

>>> shared_bins = np.histogram_bin_edges(arr, bins='auto')
>>> shared_bins
array([0., 1., 2., 3., 4., 5.])

>>> group_id = np.array([0, 1, 1, 0, 1, 1, 0, 1, 1])
>>> hist_0, _ = np.histogram(arr[group_id == 0], bins=shared_bins)
>>> hist_1, _ = np.histogram(arr[group_id == 1], bins=shared_bins)

>>> hist_0; hist_1
array([1, 1, 0, 1, 0])
array([2, 0, 1, 1, 2])

Что дает более легко сравнимые результаты, чем использование отдельных бинов для каждой гистограммы:

>>> hist_0, bins_0 = np.histogram(arr[group_id == 0], bins='auto')
>>> hist_1, bins_1 = np.histogram(arr[group_id == 1], bins='auto')
>>> hist_0; hist_1
array([1, 1, 1])
array([2, 1, 1, 2])
>>> bins_0; bins_1
array([0., 1., 2., 3.])
array([0.  , 1.25, 2.5 , 3.75, 5.  ])

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Licensed under the 3-clause BSD License.
https://numpy.org/doc/1.18/reference/generated/numpy.histogram_bin_edges.html