The provided content showcases a series of PyTorch functions with descriptions and examples. Functions like torch.abs, torch.ceil, torch.floor, torch.clamp, torch.std, torch.prod, and torch.unique are explained with their respective use cases. These functions are fundamental for manipulating tensors in PyTorch.
The provided content showcases common linear algebra operations in PyTorch, including determinant calculation, matrix inverse, LU decomposition, QR decomposition, Cholesky decomposition, SVD, eigenvalue and eigenvector computation, matrix and vector norms, trace calculation, solving linear systems, and other operations with code and output examples.
Tensor Creation: Example: Here are examples for each of the basic tensor creation functions in PyTorch: Output: Output: Output: Output: Output: Output: Output: Output: Output:
Autograd: Random Number Generation: Loss Functions: Optimization: Examples for Autograd, Random Number Generation, Loss Functions, and Optimization in PyTorch: Autograd Output: Output: Output: Output: Random Number Generation Output: Loss Functions Output: Output: Optimization This function… PyTorch function song & examples:Â Autograd, Random Number Generation, Loss Functions, optimization
The provided content discusses tensor reshaping and tensor type and device management in PyTorch. It covers functions such as tensor.view(), tensor.reshape(), tensor.transpose(), tensor.squeeze(), tensor.unsqueeze(), tensor.to(), tensor.type(), tensor.is_cuda, tensor.cpu(), and tensor.cuda(). Demonstrated examples showcase effective memory management and computation, especially when utilizing GPUs.
PyTorch Tensor Operations song & examples on element-wise addition, subtraction, multiplication, and division, matrix multiplication, as well as operations like sum, mean, max, min, concatenation, and stacking of tensors.
Support Vector Classifier (SVC) is a powerful algorithm for classification tasks, capable of handling linear and non-linear data using different kernel functions. It efficiently handles high-dimensional data for applications like image recognition and bioinformatics. Python and R codes demonstrate SVM usage for binary classification with breast cancer and mtcars datasets, respectively.
K-Means Clustering is a popular unsupervised machine learning algorithm used for clustering data into groups. It is widely used in various fields such as image processing, market segmentation, and document clustering. The algorithm works by… K-Means Clustering Method & Python Codes
Logistic regression with L1 or L2 penalty adds regularization to prevent overfitting and improve model generalization. L1 penalty (Lasso) encourages sparsity in the model, making it suitable for datasets with many irrelevant features. L2 penalty (Ridge) retains all features with reduced importance. Python and R codes demonstrate implementation and evaluation of these regression techniques.
Classification organizes items based on criteria. In data, it involves sorting into categories. It’s manual or automated with algorithms. Used in science, business, and technology to analyze and predict based on data. Crucial in document categorization, image recognition, sentiment analysis, and spam filtering for efficient data organization and analysis.
The coefficient of determination, or R-squared, measures how well an independent variable explains the variability of a dependent variable in a regression model. Its limitation lies in the fact that it does not decrease when a new feature is added, whether useful or not. Adjusted R-squared is an improvement, considering the number of predictors in a model, making it more reliable for assessing explanatory power.
Feature selection involves identifying and including essential variables in the model, possibly leading to improved performance and interpretability. Adjusted R-squared is a common metric for regression analysis, addressing overfitting by penalizing unnecessary variables and offering an accurate model representation.
The coefficient of determination (R-squared) measures how well a model explains the variance of the response variable. In this example, Python and R are used to calculate R-squared for linear regression. Higher R-squared value and the plot indicate a good fit, demonstrating the effectiveness of the model.
This content provides an example of simulating and detecting heteroscedasticity in data using Python. We simulate the data, fit the model, and analyze how to detect heteroscedasticity, and how to address this using a log transformation.
Multiple linear regression is a powerful tool for modeling relationships between multiple independent variables and a single dependent variable. Let’s take a look at some examples with codes in Python and R to demonstrate its practical application
Maximum Likelihood Estimation (MLE) is a statistical method that estimates parameters by maximizing the likelihood function. For example, in a Poisson distribution, the MLE for the rate parameter ? is the sample mean. And here is the detailed derivation
Forward selection adds features one by one, optimizing model performance but potentially missing the best subset. Backward selection starts with all features and removes the least significant, refining the model but being more computationally intensive. Stepwise selection combines both methods, adding or removing features for a balanced approach but can be complex.
The codes to for this graph is as below, with the following keypoints: Legend Handling: The legend is constructed from both plots (line plot & bar plot), ensuring that all data series are labeled correctly.… Line and Bar Plot in the same graph with Error Bars
In this experiment, I used Pikaso to generate 20 images with a provided command, with “AI prompt” on (that means Freepik AI will automatically improve short prompts). Why? The generative model learns the patterns from… What does AI see about Asian- A Generative Image Experiment
implementing Lasso regression with train-validation-test split and finding the optimal regularization parameter. In Python, it involves splitting the data, training Lasso model with different alpha values, finding the best alpha, retraining the model, and evaluating on the test set. In R, it includes data splitting, training Lasso models, finding the best lambda, retraining, and testing.
The training-validation-test split involves using the training set to fit the model, the validation set to tune hyperparameters, and the test set to evaluate performance. Python’s scikit-learn library can be used for this process, ensuring the model generalizes well to new data by evaluating it on unseen data and avoiding overfitting.
Underfitting in machine learning occurs when a model fails to capture underlying data patterns due to simplicity or insufficient training data. To address underfitting, select complex models, add features, and obtain more training data. Also, fine-tune hyperparameters and optimize the model’s architecture. Few features in a model can also cause underfitting, requiring the identification of relevant additional features or more advanced modeling techniques.
This comic explains MSE and MAE, the commonly used evaluation metrics for regression. MSE emphasizes large deviations, while MAE provides a more robust measure when outliers are less significant. MSE is preferred as a loss function due to its ability to penalize larger errors more heavily and its suitability for mathematical optimization, stability, and statistical interpretation. RMSE is the square root of MSE and also penalizes large errors.
Machine learning parameters are values learned from training data to minimize prediction errors. For example, in a uniform distribution for bus arrival times, parameters $latex a$ and $latex b$ define the range. They are the model’s knobs for accurate predictions.
Unsupervised learning is a type of machine learning algorithm used to draw inferences from datasets consisting of input data without labeled responses. In unsupervised learning, the goal is to infer the natural structure present within… Unsupervised learning helps detect shady people
Comments: I already asked my student, and he confirmed that the reason he studied the ML class was because there was a model in that class ?. So, Mr. Fox left the class after he… The model that’s not a girl & time machine
Supervised learning involves training an algorithm on labeled data and pairing input with correct output. Unsupervised learning uses unlabeled data to find patterns. For example, predicting pizza delivery tips involves features like time, pizza type, distance, and tip history, with the goal of predicting tip outcomes.
After collecting and preprocessing the dataset, it is essential to divide it into two distinct sets: training set and testing set. The training set is used to train the model while the testing set is used to evaluate its performance. This allows assessment of the model’s generalization to new data. Two code examples in Python and R demonstrate how to create synthetic data and split it into training and testing sets using popular libraries.
Model generalization in machine learning is a crucial concept that refers to the ability of a trained model to perform well on new, unseen data. When a model generalizes well, it demonstrates an understanding of… A comic guide to model generalization and overfitting
Simple linear regression is a statistical method used to model and analyze the relationship between two continuous variables. Specifically, it aims to predict the value of one variable (the dependent or response variable) based on… Simple Linear Regression Review: Sunlight & Selfie
Method 1: Go to Google Colab Visit Google Colab. A dialog like this will appear Do similarly if you want to open a notebook from Github. Alternatively, if you’re already in Google Colab and want… How to open a jupyter notebook in Google Drive/Github using Colab
Why using a sitemap? Sitemaps are essential for helping search engines understand and index your site effectively. They ensure that search engines are aware of all your important content, even the less discoverable pages. This… Create a Sitemap to improve SEO Using a Plugin in WordPress