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"# Лабораторная работа №3. Конструирование признаков.\n",
"\n",
"## Датасет \"Набор данных для анализа и прогнозирования сердечного приступа\".\n",
"\n",
"[**Ссылка**](https://www.kaggle.com/datasets/kamilpytlak/personal-key-indicators-of-heart-disease)\n",
"\n",
"### Описание датасета\n",
"\n",
"**Проблемная область**: Датасет связан с медицинской статистикой и направлен на анализ факторов, связанных с риском сердечного приступа. Это важно для прогнозирования и разработки стратегий профилактики сердечно-сосудистых заболеваний.\n",
"\n",
"**Актуальность**: Сердечно-сосудистые заболевания являются одной из ведущих причин смертности во всем мире. Анализ данных об образе жизни, состоянии здоровья и наследственных факторах позволяет выделить ключевые предикторы, влияющие на развитие сердечно-сосудистых заболеваний. Этот датасет предоставляет инструменты для анализа таких факторов и может быть полезен в создании прогнозных моделей, направленных на снижение рисков и своевременную диагностику.\n",
"\n",
"**Объекты наблюдения**: Каждая запись представляет собой данные о человеке, включая информацию об их состоянии здоровья, образе жизни, демографических характеристиках и наличию определенных заболеваний. Объекты наблюдений — это индивидуальные пациенты.\n",
"\n",
"**Атрибуты объектов:**\n",
"- `HeartDisease` — наличие сердечного приступа (Yes/No) (целевая переменная).\n",
"- `BMI` — индекс массы тела (Body Mass Index), числовой показатель.\n",
"- `Smoking` — курение (Yes/No).\n",
"- `AlcoholDrinking` — употребление алкоголя (Yes/No).\n",
"- `Stroke` — наличие инсульта (Yes/No).\n",
"- `PhysicalHealth` — количество дней в месяц, когда физическое здоровье было неудовлетворительным.\n",
"- `MentalHealth` — количество дней в месяц, когда психическое здоровье было неудовлетворительным.\n",
"- `DiffWalking` — трудности при ходьбе (Yes/No).\n",
"- `Sex` — пол (Male/Female).\n",
"- `AgeCategory` — возрастная категория (например, 55-59, 80 or older).\n",
"- `Race` — расовая принадлежность (например, White, Black).\n",
"- `Diabetic` — наличие диабета (Yes/No/No, borderline diabetes).\n",
"- `PhysicalActivity` — физическая активность (Yes/No).\n",
"- `GenHealth` — общее состояние здоровья (от Excellent до Poor).\n",
"- `SleepTime` — среднее количество часов сна за сутки.\n",
"- `Asthma` — наличие астмы (Yes/No).\n",
"- `KidneyDisease` — наличие заболеваний почек (Yes/No).\n",
"- `SkinCancer` — наличие кожного рака (Yes/No).\n",
"\n",
"### Бизнес-цели и соответствующие цели технического проекта\n",
"\n",
"**Бизнес-цель 1: Разработка персонализированных программ профилактики сердечно-сосудистых заболеваний**\n",
"\n",
"Снижение числа сердечно-сосудистых заболеваний в группе риска благодаря внедрению программ профилактики уменьшает затраты на медицинское обслуживание (страховые выплаты, лечение). Компании, предоставляющие страховые или медицинские услуги, могут минимизировать убытки и увеличить доходы за счет раннего выявления риска у клиентов.\n",
"\n",
"*Цели технического проекта*:\n",
"1. Построить предиктивную модель машинного обучения для прогнозирования риска сердечного приступа на основе предоставленных данных.\n",
"2. Разработать алгоритм классификации пациентов по группам риска с учетом их образа жизни, состояния здоровья и наследственных факторов.\n",
"3. Выявить наиболее значимые факторы риска для рекомендации адресных изменений в образе жизни.\n",
"\n",
"**Бизнес-цель 2: Создание коммерческого продукта для оценки здоровья сотрудников компаний**\n",
"\n",
"Продукт может быть предложен корпоративным клиентам для оценки состояния здоровья их сотрудников и снижения риска долгосрочных больничных листов, что положительно скажется на производительности и снизит страховые выплаты работодателей. Компании смогут предлагать услуги в формате подписки или единовременной оценки.\n",
"\n",
"*Цели технического проекта*:\n",
"1. Разработать инструмент визуализации здоровья сотрудников с использованием анализа ключевых факторов из датасета (например, курение, индекс массы тела, физическая активность).\n",
"2. Обучить и оптимизировать модель прогнозирования вероятности сердечного приступа в зависимости от корпоративного контекста (возрастные группы сотрудников, стрессовые факторы).\n",
"3. Интегрировать предиктивную аналитику в продукт, предоставляющий персонализированные отчеты и рекомендации по здоровью.\n",
"\n",
"**Бизнес-цель**: Улучшенное прогнозирование цен поможет продавцам устанавливать конкурентные цены, а покупателям — принимать более взвешенные решения о покупке. Это также даст риелторам возможность лучше ориентироваться на рынке и оптимизировать стратегию продажи.\n",
"\n",
"**Техническая цель**: Прогнозирование цен на жилье\n",
"\n",
"**Входные данные**: Исторические данные о продажах домов, включая все признаки (количество комнат, площадь, состояние, местоположение и др.).\n",
"\n",
"**Целевая переменная**: Столбец `HeartDisease`, который указывает на наличие сердечного приступа у пациента (`Yes` или `No`)."
]
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"metadata": {},
"outputs": [
{
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"
\n",
"\n",
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\n",
" \n",
"
\n",
"
\n",
"
HeartDisease
\n",
"
BMI
\n",
"
Smoking
\n",
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AlcoholDrinking
\n",
"
Stroke
\n",
"
PhysicalHealth
\n",
"
MentalHealth
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"
DiffWalking
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"
Sex
\n",
"
AgeCategory
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"
Race
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"
Diabetic
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"
PhysicalActivity
\n",
"
GenHealth
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"
SleepTime
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"
Asthma
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"
KidneyDisease
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"
SkinCancer
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"
\n",
" \n",
" \n",
"
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0
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"
No
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"
16.60
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"
Yes
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"
No
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"
No
\n",
"
3.0
\n",
"
30.0
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"
No
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"
Female
\n",
"
55-59
\n",
"
White
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"
Yes
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"
Yes
\n",
"
Very good
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5.0
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Yes
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No
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Yes
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"
\n",
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\n",
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1
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No
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"
20.34
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"
No
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No
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"
Yes
\n",
"
0.0
\n",
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0.0
\n",
"
No
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"
Female
\n",
"
80 or older
\n",
"
White
\n",
"
No
\n",
"
Yes
\n",
"
Very good
\n",
"
7.0
\n",
"
No
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No
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No
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\n",
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\n",
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2
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No
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26.58
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Yes
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No
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No
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"
20.0
\n",
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30.0
\n",
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No
\n",
"
Male
\n",
"
65-69
\n",
"
White
\n",
"
Yes
\n",
"
Yes
\n",
"
Fair
\n",
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8.0
\n",
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Yes
\n",
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No
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No
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\n",
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\n",
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3
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No
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24.21
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No
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No
\n",
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No
\n",
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0.0
\n",
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0.0
\n",
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No
\n",
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Female
\n",
"
75-79
\n",
"
White
\n",
"
No
\n",
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No
\n",
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Good
\n",
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6.0
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No
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No
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Yes
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4
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No
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23.71
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No
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No
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No
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28.0
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0.0
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Yes
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Female
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"
40-44
\n",
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White
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No
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Yes
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Very good
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8.0
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No
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No
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No
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" \n",
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],
"text/plain": [
" HeartDisease BMI Smoking AlcoholDrinking Stroke PhysicalHealth \\\n",
"0 No 16.60 Yes No No 3.0 \n",
"1 No 20.34 No No Yes 0.0 \n",
"2 No 26.58 Yes No No 20.0 \n",
"3 No 24.21 No No No 0.0 \n",
"4 No 23.71 No No No 28.0 \n",
"\n",
" MentalHealth DiffWalking Sex AgeCategory Race Diabetic \\\n",
"0 30.0 No Female 55-59 White Yes \n",
"1 0.0 No Female 80 or older White No \n",
"2 30.0 No Male 65-69 White Yes \n",
"3 0.0 No Female 75-79 White No \n",
"4 0.0 Yes Female 40-44 White No \n",
"\n",
" PhysicalActivity GenHealth SleepTime Asthma KidneyDisease SkinCancer \n",
"0 Yes Very good 5.0 Yes No Yes \n",
"1 Yes Very good 7.0 No No No \n",
"2 Yes Fair 8.0 Yes No No \n",
"3 No Good 6.0 No No Yes \n",
"4 Yes Very good 8.0 No No No "
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pandas as pd\n",
"df = pd.read_csv(\".//static//csv//heart_2020_cleaned.csv\")\n",
"df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Устранение проблемы пропущенных данных\n",
"\n",
"Для начала определим, присутствуют ли в датасете пропущенные значения признаков:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"HeartDisease 0\n",
"BMI 0\n",
"Smoking 0\n",
"AlcoholDrinking 0\n",
"Stroke 0\n",
"PhysicalHealth 0\n",
"MentalHealth 0\n",
"DiffWalking 0\n",
"Sex 0\n",
"AgeCategory 0\n",
"Race 0\n",
"Diabetic 0\n",
"PhysicalActivity 0\n",
"GenHealth 0\n",
"SleepTime 0\n",
"Asthma 0\n",
"KidneyDisease 0\n",
"SkinCancer 0\n",
"dtype: int64\n",
"\n",
"HeartDisease False\n",
"BMI False\n",
"Smoking False\n",
"AlcoholDrinking False\n",
"Stroke False\n",
"PhysicalHealth False\n",
"MentalHealth False\n",
"DiffWalking False\n",
"Sex False\n",
"AgeCategory False\n",
"Race False\n",
"Diabetic False\n",
"PhysicalActivity False\n",
"GenHealth False\n",
"SleepTime False\n",
"Asthma False\n",
"KidneyDisease False\n",
"SkinCancer False\n",
"dtype: bool\n",
"\n"
]
}
],
"source": [
"# Количество пустых значений признаков\n",
"print(df.isnull().sum())\n",
"\n",
"print()\n",
"\n",
"# Есть ли пустые значения признаков\n",
"print(df.isnull().any())\n",
"\n",
"print()\n",
"\n",
"# Процент пустых значений признаков\n",
"for i in df.columns:\n",
" null_rate = df[i].isnull().sum() / len(df) * 100\n",
" if null_rate > 0:\n",
" print(f\"{i} процент пустых значений: %{null_rate:.2f}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Пропущенных данных в датасете **не обнаружено**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Устранение проблемы зашумленности данных\n",
"\n",
"**Зашумленность** – это наличие случайных ошибок или вариаций в данных, которые могут затруднить выявление истинных закономерностей. Шум может возникать из-за ошибок измерений, неправильных записей или других факторов.\n",
"\n",
"**Выбросы** – это значения, которые значительно отличаются от остальных наблюдений в наборе данных. Выбросы могут указывать на ошибки в данных или на редкие, но важные события. Их наличие может повлиять на статистические методы анализа.\n",
"\n",
"Представленный ниже код помогает определить наличие выбросов в наборе данных и устранить их (при наличии), заменив значения ниже нижней границы (рассматриваемого минимума) на значения нижней границы, а значения выше верхней границы (рассматриваемого максимума) – на значения верхней границы:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Проверка наличия выбросов в колонках:\n",
"Колонка BMI:\n",
"\tЕсть выбросы: Да\n",
"\tКоличество выбросов: 10396\n",
"\tМинимальное значение: 12.02\n",
"\tМаксимальное значение: 94.85\n",
"\t1-й квартиль (Q1): 24.03\n",
"\t3-й квартиль (Q3): 31.42\n",
"\n",
"Колонка PhysicalHealth:\n",
"\tЕсть выбросы: Да\n",
"\tКоличество выбросов: 47146\n",
"\tМинимальное значение: 0.0\n",
"\tМаксимальное значение: 30.0\n",
"\t1-й квартиль (Q1): 0.0\n",
"\t3-й квартиль (Q3): 2.0\n",
"\n",
"Колонка MentalHealth:\n",
"\tЕсть выбросы: Да\n",
"\tКоличество выбросов: 51576\n",
"\tМинимальное значение: 0.0\n",
"\tМаксимальное значение: 30.0\n",
"\t1-й квартиль (Q1): 0.0\n",
"\t3-й квартиль (Q3): 3.0\n",
"\n",
"Колонка SleepTime:\n",
"\tЕсть выбросы: Да\n",
"\tКоличество выбросов: 4543\n",
"\tМинимальное значение: 1.0\n",
"\tМаксимальное значение: 24.0\n",
"\t1-й квартиль (Q1): 6.0\n",
"\t3-й квартиль (Q3): 8.0\n",
"\n"
]
},
{
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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"from math import ceil\n",
"\n",
"# Проверка выбросов в DataFrame\n",
"def check_outliers(dataframe, columns):\n",
" for column in columns:\n",
" if not pd.api.types.is_numeric_dtype(dataframe[column]): # Проверяем, является ли колонка числовой\n",
" continue\n",
" \n",
" Q1 = dataframe[column].quantile(0.25) # 1-й квартиль (25%)\n",
" Q3 = dataframe[column].quantile(0.75) # 3-й квартиль (75%)\n",
" IQR = Q3 - Q1 # Вычисляем межквартильный размах\n",
"\n",
" # Определяем границы для выбросов\n",
" lower_bound = Q1 - 1.5 * IQR # Нижняя граница\n",
" upper_bound = Q3 + 1.5 * IQR # Верхняя граница\n",
"\n",
" # Подсчитываем количество выбросов\n",
" outliers = dataframe[(dataframe[column] < lower_bound) | (dataframe[column] > upper_bound)]\n",
" outlier_count = outliers.shape[0]\n",
"\n",
" print(f\"Колонка {column}:\")\n",
" print(f\"\\tЕсть выбросы: {'Да' if outlier_count > 0 else 'Нет'}\")\n",
" print(f\"\\tКоличество выбросов: {outlier_count}\")\n",
" print(f\"\\tМинимальное значение: {dataframe[column].min()}\")\n",
" print(f\"\\tМаксимальное значение: {dataframe[column].max()}\")\n",
" print(f\"\\t1-й квартиль (Q1): {Q1}\")\n",
" print(f\"\\t3-й квартиль (Q3): {Q3}\\n\")\n",
"\n",
"# Визуализация выбросов\n",
"def visualize_outliers(dataframe, columns):\n",
" # Диаграммы размахов\n",
" plt.figure(figsize=(15, 10))\n",
" rows = ceil(len(columns) / 3)\n",
" for index, column in enumerate(columns, 1):\n",
" plt.subplot(rows, 3, index)\n",
" plt.boxplot(dataframe[column], vert=True, patch_artist=True)\n",
" plt.title(f\"Диаграмма размаха для \\\"{column}\\\"\")\n",
" plt.xlabel(column)\n",
" \n",
" # Отображение графиков\n",
" plt.tight_layout()\n",
" plt.show()\n",
"\n",
"\n",
"# Числовые столбцы DataFrame\n",
"numeric_columns = [\n",
" 'BMI',\n",
" 'PhysicalHealth',\n",
" 'MentalHealth',\n",
" 'SleepTime'\n",
"]\n",
"\n",
"# Проверка наличия выбросов в колонках\n",
"print('Проверка наличия выбросов в колонках:')\n",
"check_outliers(df, numeric_columns)\n",
"visualize_outliers(df, numeric_columns)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Признаки `BMI` и `SleepTime` имеют достаточное количество выбросов, которое стоит **устранить**. Также числовые признаки `PhysicalHealth` и `MentalHealth` имеют большое количество выбросов, но так как количество таких наблюдений по сравнению с общим количеством объектов велико, а диапазон значений, которые эти признаки принимают, сравнительно небольшой, то удаление такого объема важной информации, как состояние здоровья, может **негативно сказаться на способности прогнозировать сердечный приступ**.\n",
"\n",
"Для решения проблемы выбросов у признаков `BMI` и `SleepTime` воспользуемся методом отсечения слишком отклоняющихся значений путем **замены на экстремальное значение соответствующей границы**:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Проверка наличия выбросов в колонках после их устранения:\n",
"Колонка BMI:\n",
"\tЕсть выбросы: Нет\n",
"\tКоличество выбросов: 0\n",
"\tМинимальное значение: 12.945\n",
"\tМаксимальное значение: 42.505\n",
"\t1-й квартиль (Q1): 24.03\n",
"\t3-й квартиль (Q3): 31.42\n",
"\n",
"Колонка SleepTime:\n",
"\tЕсть выбросы: Нет\n",
"\tКоличество выбросов: 0\n",
"\tМинимальное значение: 3.0\n",
"\tМаксимальное значение: 11.0\n",
"\t1-й квартиль (Q1): 6.0\n",
"\t3-й квартиль (Q3): 8.0\n",
"\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Устранить выборсы в DataFrame\n",
"def remove_outliers(dataframe, columns):\n",
" for column in columns:\n",
" if not pd.api.types.is_numeric_dtype(dataframe[column]): # Проверяем, является ли колонка числовой\n",
" continue\n",
" \n",
" Q1 = dataframe[column].quantile(0.25) # 1-й квартиль (25%)\n",
" Q3 = dataframe[column].quantile(0.75) # 3-й квартиль (75%)\n",
" IQR = Q3 - Q1 # Вычисляем межквартильный размах\n",
"\n",
" # Определяем границы для выбросов\n",
" lower_bound = Q1 - 1.5 * IQR # Нижняя граница\n",
" upper_bound = Q3 + 1.5 * IQR # Верхняя граница\n",
"\n",
" # Устраняем выбросы:\n",
" # Заменяем значения ниже нижней границы на нижнюю границу\n",
" # А значения выше верхней границы – на верхнюю\n",
" dataframe[column] = dataframe[column].apply(lambda x: lower_bound if x < lower_bound else upper_bound if x > upper_bound else x)\n",
" \n",
" return dataframe\n",
"\n",
"# Cтолбцы, которые нужно исправить\n",
"columns_to_fix = [\n",
" 'BMI',\n",
" 'SleepTime'\n",
"]\n",
"\n",
"# Устраняем выборсы\n",
"df = remove_outliers(df, columns_to_fix)\n",
"\n",
"# Проверка наличия выбросов в колонках\n",
"print('Проверка наличия выбросов в колонках после их устранения:')\n",
"check_outliers(df, columns_to_fix)\n",
"visualize_outliers(df, columns_to_fix)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Разбиение датасета на выборки\n",
"\n",
"Разделим выборку данных на 3 группы:\n",
"1. *Обучающая* выборка (70%).\n",
"2. *Контрольная* выборка (15%).\n",
"3. *Тестовая* выборка (15%)."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Проверка сбалансированности выборок:\n",
"Обучающая выборка: (191877, 18)\n",
"Распределение выборки данных по классам в колонке \"HeartDisease\":\n",
" HeartDisease\n",
"No 175453\n",
"Yes 16424\n",
"Name: count, dtype: int64\n",
"Процент объектов класса \"No\": 91.44%\n",
"Процент объектов класса \"Yes\": 8.56%\n",
"\n",
"Контрольная выборка: (63959, 18)\n",
"Распределение выборки данных по классам в колонке \"HeartDisease\":\n",
" HeartDisease\n",
"No 58484\n",
"Yes 5475\n",
"Name: count, dtype: int64\n",
"Процент объектов класса \"No\": 91.44%\n",
"Процент объектов класса \"Yes\": 8.56%\n",
"\n",
"Тестовая выборка: (63959, 18)\n",
"Распределение выборки данных по классам в колонке \"HeartDisease\":\n",
" HeartDisease\n",
"No 58485\n",
"Yes 5474\n",
"Name: count, dtype: int64\n",
"Процент объектов класса \"No\": 91.44%\n",
"Процент объектов класса \"Yes\": 8.56%\n",
"\n",
"Проверка необходимости аугментации выборок:\n",
"Для обучающей выборки аугментация данных требуется\n",
"Для контрольной выборки аугментация данных требуется\n",
"Для тестовой выборки аугментация данных требуется\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.model_selection import train_test_split\n",
"\n",
"def split_stratified_into_train_val_test(\n",
" df_input,\n",
" stratify_colname,\n",
" frac_train,\n",
" frac_val,\n",
" frac_test,\n",
" random_state=None,\n",
"):\n",
" \"\"\"\n",
" Splits a Pandas dataframe into three subsets (train, val, and test)\n",
" following fractional ratios provided by the user, where each subset is\n",
" stratified by the values in a specific column (that is, each subset has\n",
" the same relative frequency of the values in the column). It performs this\n",
" splitting by running train_test_split() twice.\n",
"\n",
" Parameters\n",
" ----------\n",
" df_input : Pandas dataframe\n",
" Input dataframe to be split.\n",
" stratify_colname : str\n",
" The name of the column that will be used for stratification. Usually\n",
" this column would be for the label.\n",
" frac_train : float\n",
" frac_val : float\n",
" frac_test : float\n",
" The ratios with which the dataframe will be split into train, val, and\n",
" test data. The values should be expressed as float fractions and should\n",
" sum to 1.0.\n",
" random_state : int, None, or RandomStateInstance\n",
" Value to be passed to train_test_split().\n",
"\n",
" Returns\n",
" -------\n",
" df_train, df_val, df_test :\n",
" Dataframes containing the three splits.\n",
" \"\"\"\n",
"\n",
" if frac_train + frac_val + frac_test != 1.0:\n",
" raise ValueError(\n",
" \"fractions %f, %f, %f do not add up to 1.0\"\n",
" % (frac_train, frac_val, frac_test)\n",
" )\n",
"\n",
" if stratify_colname not in df_input.columns:\n",
" raise ValueError(\"%s is not a column in the dataframe\" % (stratify_colname))\n",
"\n",
" X = df_input # Contains all columns.\n",
" y = df_input[\n",
" [stratify_colname]\n",
" ] # Dataframe of just the column on which to stratify.\n",
"\n",
" # Split original dataframe into train and temp dataframes.\n",
" df_train, df_temp, y_train, y_temp = train_test_split(\n",
" X, y, stratify=y, test_size=(1.0 - frac_train), random_state=random_state\n",
" )\n",
"\n",
" # Split the temp dataframe into val and test dataframes.\n",
" relative_frac_test = frac_test / (frac_val + frac_test)\n",
" df_val, df_test, y_val, y_test = train_test_split(\n",
" df_temp,\n",
" y_temp,\n",
" stratify=y_temp,\n",
" test_size=relative_frac_test,\n",
" random_state=random_state,\n",
" )\n",
"\n",
" assert len(df_input) == len(df_train) + len(df_val) + len(df_test)\n",
"\n",
" return df_train, df_val, df_test\n",
"\n",
"# Оценка сбалансированности\n",
"def check_balance(dataframe, dataframe_name, column):\n",
" counts = dataframe[column].value_counts()\n",
" print(dataframe_name + \": \", dataframe.shape)\n",
" print(f\"Распределение выборки данных по классам в колонке \\\"{column}\\\":\\n\", counts)\n",
" total_count = len(dataframe)\n",
" for value in counts.index:\n",
" percentage: float = counts[value] / total_count * 100\n",
" print(f\"Процент объектов класса \\\"{value}\\\": {percentage:.2f}%\")\n",
" print()\n",
" \n",
"# Определение необходимости аугментации данных\n",
"def need_augmentation(dataframe,\n",
" column, \n",
" first_value, second_value):\n",
" counts = dataframe[column].value_counts()\n",
" ratio: float = counts[first_value] / counts[second_value]\n",
" return ratio > 1.5 or ratio < 0.67\n",
" \n",
" # Визуализация сбалансированности классов\n",
"def visualize_balance(dataframe_train,\n",
" dataframe_val,\n",
" dataframe_test, \n",
" column: str):\n",
" fig, axes = plt.subplots(3, 1, figsize=(6, 8))\n",
"\n",
" # Обучающая выборка\n",
" counts_train = dataframe_train[column].value_counts()\n",
" axes[0].pie(counts_train, labels=counts_train.index, autopct='%1.1f%%', startangle=90)\n",
" axes[0].set_title(f\"Распределение классов \\\"{column}\\\" в обучающей выборке\")\n",
"\n",
" # Контрольная выборка\n",
" counts_val = dataframe_val[column].value_counts()\n",
" axes[1].pie(counts_val, labels=counts_val.index, autopct='%1.1f%%', startangle=90)\n",
" axes[1].set_title(f\"Распределение классов \\\"{column}\\\" в контрольной выборке\")\n",
"\n",
" # Тестовая выборка\n",
" counts_test = dataframe_test[column].value_counts()\n",
" axes[2].pie(counts_test, labels=counts_test.index, autopct='%1.1f%%', startangle=90)\n",
" axes[2].set_title(f\"Распределение классов \\\"{column}\\\" в тренировочной выборке\")\n",
"\n",
" # Отображение графиков\n",
" plt.tight_layout()\n",
" plt.show()\n",
"\n",
"\n",
"df_train, df_val, df_test = split_stratified_into_train_val_test(\n",
" df, \n",
" stratify_colname=\"HeartDisease\", \n",
" frac_train=0.60, \n",
" frac_val=0.20, \n",
" frac_test=0.20\n",
")\n",
"\n",
"# Проверка сбалансированности выборок\n",
"print('Проверка сбалансированности выборок:')\n",
"check_balance(df_train, 'Обучающая выборка', 'HeartDisease')\n",
"check_balance(df_val, 'Контрольная выборка', 'HeartDisease')\n",
"check_balance(df_test, 'Тестовая выборка', 'HeartDisease')\n",
"\n",
"# Проверка необходимости аугментации выборок\n",
"print('Проверка необходимости аугментации выборок:')\n",
"print(f\"Для обучающей выборки аугментация данных {'не ' if not need_augmentation(df_train, 'HeartDisease', 'No', 'Yes') else ''}требуется\")\n",
"print(f\"Для контрольной выборки аугментация данных {'не ' if not need_augmentation(df_val, 'HeartDisease', 'No', 'Yes') else ''}требуется\")\n",
"print(f\"Для тестовой выборки аугментация данных {'не ' if not need_augmentation(df_test, 'HeartDisease', 'No', 'Yes') else ''}требуется\")\n",
" \n",
"# Визуализация сбалансированности классов\n",
"visualize_balance(df_train, df_val, df_test, 'HeartDisease')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Выборки оказались **недостаточно сбалансированными**. Используем методы приращения данных *с избытком* (**oversampling**) – копирование наблюдений или генерация новых наблюдений на основе существующих с помощью алгоритмов SMOTE и ADASYN (нахождение k-ближайших соседей):"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Проверка сбалансированности выборок:\n",
"Обучающая выборка: (350906, 51)\n",
"Распределение выборки данных по классам в колонке \"HeartDisease\":\n",
" HeartDisease\n",
"No 175453\n",
"Yes 175453\n",
"Name: count, dtype: int64\n",
"Процент объектов класса \"No\": 50.00%\n",
"Процент объектов класса \"Yes\": 50.00%\n",
"\n",
"Контрольная выборка: (116968, 51)\n",
"Распределение выборки данных по классам в колонке \"HeartDisease\":\n",
" HeartDisease\n",
"No 58484\n",
"Yes 58484\n",
"Name: count, dtype: int64\n",
"Процент объектов класса \"No\": 50.00%\n",
"Процент объектов класса \"Yes\": 50.00%\n",
"\n",
"Тестовая выборка: (116970, 51)\n",
"Распределение выборки данных по классам в колонке \"HeartDisease\":\n",
" HeartDisease\n",
"No 58485\n",
"Yes 58485\n",
"Name: count, dtype: int64\n",
"Процент объектов класса \"No\": 50.00%\n",
"Процент объектов класса \"Yes\": 50.00%\n",
"\n",
"Проверка необходимости аугментации выборок:\n",
"Для обучающей выборки аугментация данных не требуется\n",
"Для контрольной выборки аугментация данных не требуется\n",
"Для тестовой выборки аугментация данных не требуется\n"
]
},
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from imblearn.over_sampling import SMOTE\n",
"\n",
"# Метод приращения с избытком (oversampling)\n",
"def oversample(df, column):\n",
" X = pd.get_dummies(df.drop(column, axis=1))\n",
" y = df[column]\n",
" \n",
" smote = SMOTE()\n",
" X_resampled, y_resampled = smote.fit_resample(X, y)\n",
" \n",
" df_resampled = pd.concat([X_resampled, y_resampled], axis=1)\n",
" return df_resampled\n",
"\n",
"\n",
"# Приращение данных (oversampling)\n",
"df_train_oversampled = oversample(df_train, 'HeartDisease')\n",
"df_val_oversampled = oversample(df_val, 'HeartDisease')\n",
"df_test_oversampled = oversample(df_test, 'HeartDisease')\n",
"\n",
"# Проверка сбалансированности выборок\n",
"print('Проверка сбалансированности выборок:')\n",
"check_balance(df_train_oversampled, 'Обучающая выборка', 'HeartDisease')\n",
"check_balance(df_val_oversampled, 'Контрольная выборка', 'HeartDisease')\n",
"check_balance(df_test_oversampled, 'Тестовая выборка', 'HeartDisease')\n",
"\n",
"# Проверка необходимости аугментации выборок\n",
"print('Проверка необходимости аугментации выборок:')\n",
"print(f\"Для обучающей выборки аугментация данных {'не ' if not need_augmentation(df_train_oversampled, 'HeartDisease', 'No', 'Yes') else ''}требуется\")\n",
"print(f\"Для контрольной выборки аугментация данных {'не ' if not need_augmentation(df_val_oversampled, 'HeartDisease', 'No', 'Yes') else ''}требуется\")\n",
"print(f\"Для тестовой выборки аугментация данных {'не ' if not need_augmentation(df_test_oversampled, 'HeartDisease', 'No', 'Yes') else ''}требуется\")\n",
" \n",
"# Визуализация сбалансированности классов\n",
"visualize_balance(df_train_oversampled, df_val_oversampled, df_test_oversampled, 'HeartDisease')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Конструирование признаков\n",
"\n",
"**Конструирование признаков** (*feature engineering*) – процесс использования знаний об особенностях решаемой задачи и предметной области для определения признаков, которые будут использованы для обучения статистической модели.\n",
"\n",
"Методы конструирования признаков:\n",
"1. Для категориальных данных:\n",
" - **Унитарное кодирование категориальных признаков** (one-hot encoding) – метод, который применяется для преобразования категориальных переменных в числовой формат. Каждая характеристика представляется в виде бинарного вектора, где для каждой категории выделяется отдельный признак (столбец) со значением 1 (True), если объект принадлежит этой категории, и 0 (False) в противном случае.\n",
"2. Для числовых данных:\n",
" - **Дискретизация** – процесс преобразования непрерывных числовых значений в категориальные группы или интервалы (дискретные значения).\n",
" - **Ручной синтез** – процесс создания новых признаков на основе существующих данных. Это может включать в себя комбинирование нескольких признаков, использование математических операций (например, сложение, вычитание), а также создание полиномиальных или логарифмических признаков.\n",
" - **Масштабирование признаков на основе нормировки и стандартизации** – метод, который позволяет привести все числовые признаки к одинаковым или очень похожим диапазонам значений либо распределениям.\n",
" - **С применением фреймворка FeatureTools** – библиотека для автоматизированного создания признаков (features) из структурированных данных. Подходит для задач машинного обучения, когда нужно быстро извлекать полезные признаки из больших объемов данных."
]
},
{
"cell_type": "markdown",
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"### Унитарное кодирование\n",
"\n",
"Преобразование уже было выполнено на этапе приращения с избытком (метод `pd.get_dummies(...)`), так как метод `fit_resample` требовал для работы признаки типа число с плавающей точкой. Были преобразованы категориальные признаки `Smoking`, `AlcoholDrinking`, `Stroke`, `DiffWalking` и т.д. в бинарные признаки:"
]
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{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
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