ساختار برنامه نویسی کامپیوتری متحول شده و طبق شکل از حالت کلاسیک به یادگیری ماشین تغییر کرده است. حالت کلاسیک ورودی و روش محاسبات با برنامه نویسی به پاسخ خروجی نتیجه می گردید که به عنوان مثال فلوچارت مجموع اعداد 1 الی n نمایش داده شده است. اما شیوه جدید حالت یادگیری (عمیق) ماشین مثلا بر پایه رگرسیون و شبکه عصبی با داشتن داده ورودی x و احتمالا پاسخ صحیح y به روش یادگیری و فهم ماشین با فرض پارامترهای w,b,β و تابع فعال سازی f موجب خروجی شبکه y ̂ برای مقایسه با پاسخ صحیح است.
The structure of computer programming has evolved and, as shown, has shifted from the classical approach to machine learning. In the classical approach, the input and the computational method via programming led to an output result; for example, a flowchart showing the sum of numbers from 1 to n. However, the new method, the machine learning (deep) approach, for instance based on regression and neural networks, with input data x and possibly the correct output y, uses machine learning and understanding with assumed parameters w, b, β, and an activation function f to produce the network output ŷ for comparison with the correct answer.
The structure of computer programming has evolved and, as shown, has shifted from the classical approach to machine learning. In the classical approach, the input and the computational method via programming led to an output result; for example, a flowchart showing the sum of numbers from 1 to n. However, the new method, the machine learning (deep) approach, for instance based on regression and neural networks, with input data x and possibly the correct output y, uses machine learning and understanding with assumed parameters w, b, β, and an activation function f to produce the network output ŷ for comparison with the correct answer.
انواع داده از نظر ابعاد آن
Types of data in terms of their dimensions
Types of data in terms of their dimensions
مثال ) آدرس مبنای 16 ذخیره عدد 1 در کامپیوتر را نشان می دهیم.
Example ) We show the hexadecimal address storing the number 1 in the computer.
Example ) We show the hexadecimal address storing the number 1 in the computer.
# Data Science and Machine Learning
# Seyed Mahmoud Mirkhan, 1404
# Chapter 1 Computer Programming
# R, Show the memory address of the variable and plot a point
library(pryr) # install.packages("pryr")
x <- 1
address(x)
plot(1, col = c("#800080"), pch = 16, cex = 3, xlab = "", ylab = "", axes = FALSE)
# ans: [1] "0x24fb4767780"
# Python, Show the memory address of the variable and plot a point
import matplotlib.pyplot as plt
x = 1
print(f"The memory address of x is: {hex(id(x))}")
x = [1]
y = [0] # You can set y to any value, e.g., 0
# Plot the point with 'o' specifies a circular marker.
plt.plot(x, y, 'o', label='Point (1, 0)')
plt.show()
مثال ) دو عدد را در مبناهای 2 و 16 با یکدیگر جمع می کنیم.
Example ) We add two numbers together in base 2 and base 16
Example ) We add two numbers together in base 2 and base 16
# Data Science and Machine Learning
# Seyed Mahmoud Mirkhan, 1404
# Chapter 1 Computer Programming
# Python, Sum of two numbers in decimal and binary
num1 = 6
num2 = 13
binary_num1 = bin(num1)[2:] # Remove the '0b' prefix
binary_num2 = bin(num2)[2:]
print(f"Binary of {num1}: {binary_num1}")
print(f"Binary of {num2}: {binary_num2}")
sum_decimal = num1 + num2
binary_sum = bin(sum_decimal)[2:] # Convert the sum to binary
print(f"Sum in decimal: {sum_decimal}")
print(f"Sum in binary: {binary_sum}")
# R, Sum of two hexadecimal numbers as strings
hex1 <- "B2"
hex2 <- "FF"
sum_hex <- as.hexmode(as.numeric(as.hexmode(hex1)) + as.numeric(as.hexmode(hex2)))
print(sum_hex)
انواع مدل یادگیری با نظارت داده برچسب دار تفکیک حیوانات، رگرسیون برازش خط یا صفحه از میان نقاط و مدل یادگیری عمیق تشخیص ارقام دستنویس شناخت تصویر عدد 4 و مدل یادگیری بدون نظارت تفکیک شیرینی
Types of supervised learning models with labeled data for classifying animals, regression models for fitting a line or plane through points, deep learning models for recognizing handwritten digits like the number 4, and unsupervised learning models for classifying pastries.
Types of supervised learning models with labeled data for classifying animals, regression models for fitting a line or plane through points, deep learning models for recognizing handwritten digits like the number 4, and unsupervised learning models for classifying pastries.
مثال ) فرض کنید ورودی بردار a=(1 ,-2 ,3) باشد و باید بر روی هر مولفه آن شرط مثبت و منفی بودن را بررسی کنیم. در برنامه نویسی کلاسیک از حلقه و شرط روی اندیس های بردار استفاده می گردید. برای برنامه نویسی با ابزارهای پیشرفته دارای دستورهای کوتاه شده است که برنامه را ساده و خواناتر کرده و نیز سرعت اجرای برنامه سریع تر می گردد.
Example ) Suppose the input vector is a = (1, -2, 3) and we need to check each of its components for being positive or negative. In classical programming, loops and conditionals on the vector indices were used. Advanced programming tools have shortened commands that make the program simpler and more readable, and also increase the execution speed of the program.
Example ) Suppose the input vector is a = (1, -2, 3) and we need to check each of its components for being positive or negative. In classical programming, loops and conditionals on the vector indices were used. Advanced programming tools have shortened commands that make the program simpler and more readable, and also increase the execution speed of the program.
# Data Science and Machine Learning
# Seyed Mahmoud Mirkhan, 1404
# Chapter 1 Computer Programming
# R, Print negative and positive numbers in vector.
a <- c(1, -2, 3)
for(i in 1:3) {
if(a[i] >= 0)
print(paste(a[i], " is positive."))
else
print(paste(a[i], " is negative.")) }
# Python, Print negative and positive numbers in vector.
import numpy as np
a = np.array([1, -2, 3])
for i in np.arange(3):
if(a[i] >= 0):
print(a[i], " is positive.")
else:
print(a[i], " is negative.")
% Matlab, Print negative and positive numbers in vector.
a = [1 -2 3];
for(i = 1:3)
if(a(i) >= 0)
sprintf("%d is positive.", a(i))
else
sprintf("%d is negative.", a(i))
end
end
# Data Science and Machine Learning
# Seyed Mahmoud Mirkhan, 1404
# Chapter 1 Computer Programming
# R, Print negative and positive numbers in vector.
a <- c(1, -2, 3)
print(a[which(a >= 0)])
print(a[which(a < 0)])
# Python, Print negative and positive numbers in vector.
import numpy as np
a = np.array([1, -2, 3])
print(a[np.where(a >= 0)])
print(a[np.where(a < 0)])
% Matlab, Print negative and positive numbers in vector.
a = [1 -2 3];
a(find(a >= 0))
a(find(a < 0))
مثال ) دنباله اعداد زوج از 1 الی 10 را ایجاد می کنیم.
Example ) We create the sequence of even numbers from 1 to 10.
Example ) We create the sequence of even numbers from 1 to 10.