Data Structure and Algorithms- Arrays-Stock Price analysis
Common Data Structures and Algorithms
Data Structures
- Arrays: Ordered collection of elements with fixed size.
- Linked Lists: Dynamic collection of elements linked together.
- Stacks: LIFO (Last-In-First-Out) data structure.
- Queues: FIFO (First-In-First-Out) data structure.
- Trees: Hierarchical data structure with nodes and edges.
- Binary Search Trees
- AVL Trees
- B-Trees
- Graphs: Collection of nodes (vertices) connected by edges.
- Directed Graphs
- Undirected Graphs
- Hash Tables: Unordered collection of key-value pairs.
Algorithms
- Searching:
- Linear Search
- Binary Search
- Sorting:
- Bubble Sort
- Insertion Sort
- Selection Sort
- Merge Sort
- Quick Sort
- Heap Sort
- Graph Algorithms:
- Breadth-First Search (BFS)
- Depth-First Search (DFS)
- Dijkstra's Algorithm
- Bellman-Ford Algorithm
- Floyd-Warshall Algorithm
- Dynamic Programming:
- Fibonacci Sequence
- Longest Common Subsequence
- Knapsack Problem
- Greedy Algorithms:
- Activity Selection Problem
- Fractional Knapsack Problem
- Divide and Conquer:
- Merge Sort
- Quick Sort
- Closest Pair of Points
Additional Data Structures and Algorithms:
- Tries: Efficient data structure for string searching.
- Heaps: Priority queues based on complete binary trees.
- Disjoint Sets: Data structure for maintaining disjoint sets.
- Suffix Trees: Data structures for efficient substring search.
- K-d Trees: Space-partitioning data structure for efficient nearest neighbor search.
Arrays:
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1. Image Processing:
- Pixel Manipulation: Create a program to manipulate the pixels of an image (e.g., invert colors, rotate, apply filters).
- Image Filtering: Implement filters like Gaussian blur, edge detection, or sharpening using array operations.
- Image Compression: Explore image compression techniques like JPEG or PNG using array-based algorithms.
2. Data Analysis:
- Statistical Calculations: Calculate mean, median, mode, standard deviation, and variance of a dataset stored in a NumPy array.
- Data Visualization: Use libraries like Matplotlib or Seaborn to create visualizations (e.g., histograms, scatter plots, line charts) based on array data.
- Data Mining: Implement algorithms like k-means clustering or principal component analysis to analyze large datasets.
3. Machine Learning:
- Feature Engineering: Extract relevant features from raw data stored in arrays (e.g., one-hot encoding, normalization).
- Model Training: Train machine learning models (e.g., linear regression, decision trees, neural networks) using array-based data.
- Model Evaluation: Evaluate the performance of machine learning models using metrics calculated from arrays (e.g., accuracy, precision, recall).
4. Scientific Computing:
- Numerical Simulations: Simulate physical phenomena (e.g., fluid dynamics, heat transfer) using numerical methods and array operations.
- Scientific Visualization: Create visualizations of scientific data using libraries like Matplotlib or Mayavi.
- Data Analysis: Analyze scientific data (e.g., experimental results, sensor readings) using array-based techniques.
5. Game Development:
- Game Objects: Represent game objects (e.g., players, enemies, projectiles) as arrays of properties.
- Collision Detection: Implement collision detection algorithms using array-based techniques.
- Physics Simulations: Simulate game physics (e.g., gravity, movement) using array-based calculations.
6. Financial Analysis:
- Stock Price Analysis: Analyze stock price data stored in arrays to identify trends and patterns.
- Portfolio Optimization: Optimize investment portfolios using array-based optimization techniques.
- Risk Assessment: Calculate risk metrics (e.g., volatility, correlation) for financial data stored in arrays.
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Python Assignment: Stock Price Analysis Using Arrays
Problem: Analyze a dataset of historical stock prices to identify trends, patterns, and calculate key metrics.
Data: You can use real-world stock price data from financial APIs like Yahoo Finance, Alpha Vantage, or Google Finance. Alternatively, you can create a synthetic dataset for practice.
Tasks:
-
Data Loading and Cleaning:
- Load the stock price data into a NumPy array.
- Handle missing values or outliers if necessary.
-
Basic Calculations:
- Calculate the daily returns (percentage change in price) using array operations.
- Calculate the cumulative returns over a specific period.
- Calculate the average, median, and standard deviation of the daily returns.
-
Trend Analysis:
- Use moving averages (simple, exponential, or weighted) to identify trends in the stock price.
- Calculate the momentum of the stock price.
- Detect support and resistance levels using technical analysis techniques.
-
Volatility Analysis:
- Calculate the volatility (standard deviation of returns) over different time periods.
- Use Bollinger Bands to identify overbought or oversold conditions.
-
Correlation Analysis:
- Calculate the correlation between the stock's returns and a benchmark index (e.g., S&P 500).
- Analyze the correlation with other stocks in the same sector.
-
Visualization:
- Use Matplotlib or Seaborn to create visualizations like line charts, histograms, scatter plots, and candlestick charts.
- Visualize the stock price, returns, trends, and volatility.
- sample stock_data.csv
Date,Open,High,Low,Close,Volume
2023-01-01,150,155,149,153,1000000
2023-01-02,153,158,152,157,1200000
2023-01-03,157,160,155,158,1100000
2023-01-04,158,162,157,161,1300000
2023-01-05,161,165,160,164,1400000
2023-01-06,164,168,163,167,1500000
2023-01-07,167,170,166,169,1600000
2023-01-08,169,172,168,171,1700000
2023-01-09,171,175,170,174,1800000
2023-01-10,174,178,173,177,1900000
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
import seaborn as sns
# Load stock price data from a CSV file
data = pd.read_csv('stock_data.csv')
# Extract closing prices
close_prices = data['Close'].values
# Calculate daily returns
returns = (close_prices[1:] - close_prices[:-1]) / close_prices[:-1]
# Calculate cumulative returns
cumulative_returns = (1 + returns).cumprod() - 1
# Calculate moving averages
short_term_ma = np.convolve(close_prices, np.ones(5) / 5, mode='valid')
long_term_ma = np.convolve(close_prices, np.ones(20) / 20, mode='valid')
# Calculate average, median, and standard deviation of daily returns
average_return = np.mean(returns)
median_return = np.median(returns)
std_dev_return = np.std(returns)
# Calculate volatility (standard deviation of returns) over different time periods
volatility = std_dev_return
# Calculate Bollinger Bands
rolling_mean = pd.Series(close_prices).rolling(window=20).mean()
rolling_std = pd.Series(close_prices).rolling(window=20).std()
upper_band = rolling_mean + (rolling_std * 2)
lower_band = rolling_mean - (rolling_std * 2)
# Visualization
plt.figure(figsize=(14, 7))
# Plot stock price and moving averages
plt.subplot(2, 2, 1)
plt.plot(close_prices, label='Close Prices')
plt.plot(range(4, len(short_term_ma) + 4), short_term_ma, label='5-day MA')
plt.plot(range(19, len(long_term_ma) + 19), long_term_ma, label='20-day MA')
plt.title('Stock Price and Moving Averages')
plt.legend()
# Plot daily returns
plt.subplot(2, 2, 2)
plt.hist(returns, bins=50, alpha=0.75)
plt.title('Histogram of Daily Returns')
# Plot Bollinger Bands
plt.subplot(2, 2, 3)
plt.plot(close_prices, label='Close Prices')
plt.plot(rolling_mean, label='20-day MA')
plt.plot(upper_band, label='Upper Band')
plt.plot(lower_band, label='Lower Band')
plt.fill_between(range(len(close_prices)), upper_band, lower_band, color='gray', alpha=0.2)
plt.title('Bollinger Bands')
plt.legend()
# Plot cumulative returns
plt.subplot(2, 2, 4)
plt.plot(cumulative_returns, label='Cumulative Returns')
plt.title('Cumulative Returns')
plt.legend()
plt.tight_layout()
plt.show()
# Print calculated metrics
print(f'Average Daily Return: {average_return:.4f}')
print(f'Median Daily Return: {median_return:.4f}')
print(f'Standard Deviation of Daily Returns: {std_dev_return:.4f}')
print(f'Volatility: {volatility:.4f}')
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