Regression
Deep Learning Foundation : Linear Regression and Statistics
Free Coupon Discount - Deep Learning Foundation: Linear Regression and Statistics, Learn linear regression from scratch, Statistics, R-Squared, VIF, Gradient descent, Data Science Deep Learning in Python Created by Jay Shankar Bhatt Students also bought Build a Data Analysis Library from Scratch in Python Building Machine Learning Web Apps with Python DataScience-Stats,MachineLearning,NLP-Python-R-BigData-Spark COVID-19 Data Science Urban Epidemic Modelling in Python Getting Started with Python Web Scraping Data Visualization with Python and Matplotlib Preview this Udemy Course GET COUPON CODE Description Hi Everyone welcome to new course which is created to sharpen your linear regression and statistical basics. In this course I have explained hypothesis testing, Unbiased estimators, Statistical test, Gradient descent. End of the course you will be able to code your own regression algorithm from scratch.
Gradient Descent and the Normal Equation for Linear Regression with Practical Implemetation in…
When I started my machine learning journey, math was something that always intrigued me and still does. I for one believe that libraries such as scikit learn have indeed done wonders for us when it comes to implementing the algorithms but without an understanding of the maths that goes into making the algorithm, we are bound to make mistakes on complicated problems. In this article, I will be going over the math behind Gradient Descent and the derivation behind the Normal linear Equation and then implementing them both on a dataset to get my coefficients. When i was getting started with Linear Regression and trying to get an understanding of the different ways to calculate the coefficients, The Normal Equation was by far my most favorite method to find coefficients but where does this equation come from? Well, let us take a look.
Decision Boundary in Machine Learning
The general goal of a classification model is to find a decision boundary. The purpose of the decision boundaries is to identify those regions of the input class space that corresponds to each class. In this article, I will take you through the concept of decision boundary in machine learning. To explain the concept of decision boundaries in machine learning, I will first create a Logistic Regression model. So now let's import some libraries and get started with the task: I will use the iris dataset to fit a Linear Regression model.
Mastering Machine Learning Algorithms: A Project Tutor
Udemy Course Coupon ED Mastering Machine Learning Algorithms: A Project Tutor This project based course consists of video lectures with coding on cloud based Jupyter notebooks. It guides you to set up easy and interactive project working environment without downloading any software. It's a bunch of 5 projects based on machine learning algorithms covering all details of implementation in python. New What you'll learn In this hands-on project based course, students will learn fundamentals and actual implementation of various machine learning algorithms. Make prediction using linear regression and optimization model coefficents using gradient descent algorithm To build a logistic regression classifier to predict customer purchased decision To classify mall customers based on k means clustering for market basket analysis.
Polynomial Regression Algorithm in Machine Learning
What will you do if your data is a bit more complicated than a straight line? A good alternative for you is that you can use a linear model to fit in a nonlinear data. You can use the add powers of ever feature as the new features, and then you can use the new set of features to train a Linear Model. In Machine Learning, this technique is known as Polynomial Regression. Let's understand Polynomial Regression from an example.
Spatiotemporal Prediction of COVID--19 Mortality and Risk Assessment
Torres-Signes, A., Frías, M. P., Ruiz-Medina, M. D.
This paper presents a multivariate functional data statistical approach, for spatiotemporal prediction of COVID-19 mortality counts. Specifically, spatial heterogeneous nonlinear parametric functional regression trend model fitting is first implemented. Classical and Bayesian infinite-dimensional log-Gaussian linear residual correlation analysis is then applied. The nonlinear regression predictor of the mortality risk is combined with the plug-in predictor of the multiplicative error term. An empirical model ranking, based on random K-fold validation, is established for COVID-19 mortality risk forecasting and assessment, involving Machine Learning (ML) models, and the adopted Classical and Bayesian semilinear estimation approach. This empirical analysis also determines the ML models favored by the spatial multivariate Functional Data Analysis (FDA) framework. The results could be extrapolated to other countries.
On Hyperparameter Optimization of Machine Learning Algorithms: Theory and Practice
Machine learning algorithms have been used widely in various applications and areas. To fit a machine learning model into different problems, its hyper-parameters must be tuned. Selecting the best hyper-parameter configuration for machine learning models has a direct impact on the model's performance. It often requires deep knowledge of machine learning algorithms and appropriate hyper-parameter optimization techniques. Although several automatic optimization techniques exist, they have different strengths and drawbacks when applied to different types of problems. In this paper, optimizing the hyper-parameters of common machine learning models is studied. We introduce several state-of-the-art optimization techniques and discuss how to apply them to machine learning algorithms. Many available libraries and frameworks developed for hyper-parameter optimization problems are provided, and some open challenges of hyper-parameter optimization research are also discussed in this paper. Moreover, experiments are conducted on benchmark datasets to compare the performance of different optimization methods and provide practical examples of hyper-parameter optimization. This survey paper will help industrial users, data analysts, and researchers to better develop machine learning models by identifying the proper hyper-parameter configurations effectively.
Visualization and machine learning for forecasting of COVID-19 in Senegal
Ndiaye, Babacar Mbaye, Balde, Mouhamadou A. M. T., Seck, Diaraf
In this article, we give visualization and different machine learning technics for two weeks and 40 days ahead forecast based on public data. On July 15, 2020, Senegal reopened its airspace doors, while the number of confirmed cases is still increasing. The population no longer respects hygiene measures, social distancing as at the beginning of the contamination. Negligence or tiredness to always wear the masks? We make forecasting on the inflection point and possible ending time.
Benign Overfitting and Noisy Features
Li, Zhu, Su, Weijie, Sejdinovic, Dino
Modern machine learning often operates in the regime where the number of parameters is much higher than the number of data points, with zero training loss and yet good generalization, thereby contradicting the classical bias-variance trade-off. This \textit{benign overfitting} phenomenon has recently been characterized using so called \textit{double descent} curves where the risk undergoes another descent (in addition to the classical U-shaped learning curve when the number of parameters is small) as we increase the number of parameters beyond a certain threshold. In this paper, we examine the conditions under which \textit{Benign Overfitting} occurs in the random feature (RF) models, i.e. in a two-layer neural network with fixed first layer weights. We adopt a new view of random feature and show that \textit{benign overfitting} arises due to the noise which resides in such features (the noise may already be present in the data and propagate to the features or it may be added by the user to the features directly) and plays an important implicit regularization role in the phenomenon.
ReLU nets adapt to intrinsic dimensionality beyond the target domain
Cloninger, Alexander, Klock, Timo
We study the approximation of two-layer compositions $f(x) = g(\phi(x))$ via deep ReLU networks, where $\phi$ is a nonlinear, geometrically intuitive, and dimensionality reducing feature map. We focus on two complementary choices for $\phi$ that are intuitive and frequently appearing in the statistical literature. The resulting approximation rates are near optimal and show adaptivity to intrinsic notions of complexity, which significantly extend a series of recent works on approximating targets over low-dimensional manifolds. Specifically, we show that ReLU nets can express functions, which are invariant to the input up to an orthogonal projection onto a low-dimensional manifold, with the same efficiency as if the target domain would be the manifold itself. This implies approximation via ReLU nets is faithful to an intrinsic dimensionality governed by the target $f$ itself, rather than the dimensionality of the approximation domain. As an application of our approximation bounds, we study empirical risk minimization over a space of sparsely constrained ReLU nets under the assumption that the conditional expectation satisfies one of the proposed models. We show near-optimal estimation guarantees in regression and classifications problems, for which, to the best of our knowledge, no efficient estimator has been developed so far.