Regression
How To Build a Basic Website Based on Real-Time Predictions
The first model (using a logistic regression classifier) gave me an accuracy response of more than 80 percent and an AUC of 84 percent. The results were also meaningful - they showed that the probability of an account belonging to a company increases with the number of Tweets, likes, or followings. On the other side, if you've linked to an Instagram or LinkedIn account in your bio, you are more likely to be a human.
A Beginner's Guide to EDA with Linear Regression -- Part 3
Mother Race -- but what we are seeing at X-Axis here is a bunch of variables. When you look closer you would notice that each variable seems to be representing each unique value of Mother Race variable. Linear Regression function'lm' in R automatically transforms a categorical variable into something called'dummy' variables. It will create a column for each categorical value (e.g. Japanese) and have a value of 0 or 1 based on whether a given row matches a given column (e.g.
How Many Machines Can We Use in Parallel Computing for Kernel Ridge Regression?
Liu, Meimei, Shang, Zuofeng, Cheng, Guang
This paper attempts to solve a basic problem in distributed statistical inference: how many machines can we use in parallel computing? In kernel ridge regression, we address this question in two important settings: nonparametric estimation and hypothesis testing. Specifically, we find a range for the number of machines under which optimal estimation/testing is achievable. The employed empirical processes method provides a unified framework, that allows us to handle various regression problems (such as thin-plate splines and nonparametric additive regression) under different settings (such as univariate, multivariate and diverging-dimensional designs). It is worth noting that the upper bounds of the number of machines are proven to be un-improvable (up to a logarithmic factor) in two important cases: smoothing spline regression and Gaussian RKHS regression. Our theoretical findings are backed by thorough numerical studies.
A Beginner's Guide to EDA with Linear Regression -- Part 2
So far, we have investigated if Father Age and Mother Age were impacting Gestation Week, and we know that both Father Age and Mother Age influence the changes in Gestation Week. But since we have done the investigation separately, one for Father Age's influence on Gestation Week and another for Mother's Age's influence on Gestation Week, we still don't know which of Father Age and Mother Age is the direct cause of the influence. In this post, I'm going to investigate further to find this out. So far, we know that the increases in Father Age would make Gestation Week shorter. And, the increases in Mother Age would also make Gestation Week shorter.
A Beginner's Guide to Exploratory Data Analysis with Linear Regression -- Part 1
Linear Regression is an algorithm that helps us predict unknown numeric outcome in future. It is usually the first Machine Learning (or Statistical) algorithms to learn when you are stepping into the world of Data Science or Machine Learning. Though it is one of the'old school' Statistical algorithms, it is still the most often used algorithm among many data scientists even today thanks to its simplicity and explainability. We at Exploratory always focus on, as the name suggests, making Exploratory Data Analysis (EDA) easier. EDA is a practice of iteratively asking a series of questions about data and trying to gain useful insights out of the data to answer the questions and essentially to influence our decision making.
Deep Learning Prerequisites: Logistic Regression in Python
This course is a lead-in to deep learning and neural networks - it covers a popular and fundamental technique used in machine learning, data science and statistics: logistic regression. We cover the theory from the ground up: derivation of the solution, and applications to real-world problems. We show you how one might code their own logistic regression module in Python. This course does not require any external materials. Everything needed (Python, and some Python libraries) can be obtained for free.
Neural networks for post-processing ensemble weather forecasts
Rasp, Stephan, Lerch, Sebastian
Ensemble weather predictions require statistical post-processing of systematic errors to obtain reliable and accurate probabilistic forecasts. Traditionally, this is accomplished with distributional regression models in which the parameters of a predictive distribution are estimated from a training period. We propose a flexible alternative based on neural networks that can incorporate nonlinear relationships between arbitrary predictor variables and forecast distribution parameters that are automatically learned in a data-driven way rather than requiring pre-specified link functions. In a case study of 2-meter temperature forecasts at surface stations in Germany, the neural network approach significantly outperforms benchmark post-processing methods while being computationally more affordable. Key components to this improvement are the use of auxiliary predictor variables and station-specific information with the help of embeddings. Furthermore, the trained neural network can be used to gain insight into the importance of meteorological variables thereby challenging the notion of neural networks as uninterpretable black boxes. Our approach can easily be extended to other statistical post-processing and forecasting problems. We anticipate that recent advances in deep learning combined with the ever-increasing amounts of model and observation data will transform the post-processing of numerical weather forecasts in the coming decade.
Do Better ImageNet Models Transfer Better?
Kornblith, Simon, Shlens, Jonathon, Le, Quoc V.
Transfer learning has become a cornerstone of computer vision with the advent of ImageNet features, yet little work has been done to evaluate the performance of ImageNet architectures across different datasets. An implicit hypothesis in modern computer vision research is that models that perform better on ImageNet necessarily perform better on other vision tasks. However, this hypothesis has never been systematically tested. Here, we compare the performance of 13 classification models on 12 image classification tasks in three settings: as fixed feature extractors, fine-tuned, and trained from random initialization. We find that, when networks are used as fixed feature extractors, ImageNet accuracy is only weakly predictive of accuracy on other tasks ($r^2=0.24$). In this setting, ResNets consistently outperform networks that achieve higher accuracy on ImageNet. When networks are fine-tuned, we observe a substantially stronger correlation ($r^2 = 0.86$). We achieve state-of-the-art performance on eight image classification tasks simply by fine-tuning state-of-the-art ImageNet architectures, outperforming previous results based on specialized methods for transfer learning. Finally, we observe that, on three small fine-grained image classification datasets, networks trained from random initialization perform similarly to ImageNet-pretrained networks. Together, our results show that ImageNet architectures generalize well across datasets, with small improvements in ImageNet accuracy producing improvements across other tasks, but ImageNet features are less general than previously suggested.
[N] Snap ML - An IBM framework for all machine learning, except deep learning โข r/MachineLearning
I do think that beating TensorFlow on tasks like logistic regression is not particularly hard. A student asked me once to help optimize his Tf code for a large scale linear regression model on multiple GPUs. It was magnitudes slower than the single-core scikit-learn implementation. We spent hours trying to get the best performance out of it, including various experiments with the data loading directly to the GPU tensors bypassing the Python runtime. TensorFlow is just not optimized for this kind of stuff because of various overheads, I assume. People underestimate how fast scikit-learn is for generalized linear models thanks to BLAS and LIBLINEAR.
A Beginner's Guide to Machine Learning (in Python)
In this course, you will learn the basics of Machine Learning and Data Mining; almost everything you need to get started. You will understand what Big Data is and what Data Science and Data Analytics is. You will learn algorithms such as Linear Regression, Logistic Regression, Support Vector Machine, K-Nearest Neighbor, Decision Trees, and Neural Networks. You'll also understand how to combine algorithms into ensembles. Preprocessing data will be taught and you will understand how to clean your data, transform it, how to handle categorical features, and how to handle unbalanced data.