# Questions tagged [linear-regression]

For questions related to the theory or application of linear regression.

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### Fine tuning a BERT model for text classification

An article written by Jay Alammar (http://jalammar.github.io/a-visual-guide-to-using-bert-for-the-first-time/) on using a BERT transformer for text classification. The article mentions the following ...
51 views

### Assumptions of a Linear Regression [closed]

I was going through the concept of Linear Regression and ran into the concept of deciding whether a Linear Regression Model is the best fit for your data by 5 assumptions: Linearity Homoscedasticity ...
44 views

### Difficult to build learning curve for a simple linear regression

In some part of my online ML course, I should build a code for plotting a learning curve, to be more specific, it's just a linear regression implementation. So the first thing to consider is the ...
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### Hand-crafted regression overshoots despite learning rate provided from hessian of the loss

I tried to do my own linear regression but I have seen that there are differences with LinearRegression from sklearn. Indeed, ...
53 views

### How can you grade an input?

I'm wondering how one can apply linear regression or some other method to calculate a grade/score for an input. More specifically, I'm having multiple objects in 2D-space, with some (but not all) of ...
52 views

### Would either $L_1$ or $L_2$ regularisation lower the MSE on the training and test data?

Consider linear regression. The mean squared error (MSE) is 120.5 for the training dataset. We've reached the minimum for the training data. Is it possible that by applying Lasso (L1 regularization) ...
29 views

### Which machine learning technique can I use to match one set of data points to another?

I have two measuring devices. Both measure the same thing. One is accurate, the other is not, but does correlate with a non-fixed offset, some outliers, and some noise. I won't always be using the ...
31 views

### Linear output layer back propagation

So I'm stack to something that it's probably very easy but I can't get my head around it. I'm building a Neural Network that will consist of many layers with non-linear activation functions (probably ...
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### Is there a connection between the bias term in a linear regression model and the bias that can lead to under-fitting?

Here is a linear regression model $$y = mx + b,$$ where $b$ is known as $y$-intercept, but also known as the bias , $m$ is the slope, and $x$ is the feature vector. As I understood, in machine ...
55 views

I am trying to comprehend how the Gradient Descent works. I understand we have a cost function which is defined in terms of the following parameters, $J(𝑤_{1},𝑤_{2},.... , w_{n}, b)$ the derivative ...
25 views

### Is there a UCB type algorithm for linear stochastic bandit with lasso regression?

Why is there no upper confidence bound algorithm for linear stochastic bandits that uses lasso regression in the case that the regression parameters are sparse in the features? In particular, I don't ...
35 views

### linear regression using gradient decent

I am novice in machine learning and try to implement Linear regression algorithm using Gradient Descent. I am using Google Co-...
76 views

### Hyper-plane in logistic regression vs linear regression for same number of features

Geometric interpretation of Logistic Regression and Linear regression is considered here. I was going through Logistic regression and Linear regression. In the optimization equation of both following ...
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### Effect of adding an Independent Variable in Multiple Linear Regression

I am new in machine learning and learning linear regression concept. Please help with answers to below queries. I want to understand effect on existing independent variable(X1) if I add a new ...
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### What ML algorithm should I use that suits this data?

What if I have some data, let's say I'm trying to answer if education level and IQ affect earnings, and I want to analyze this data and put in a regression model to predict earnings based on the IQ ...
59 views

### Do correlations matter when building neural networks?

I am new to working with neural networks. However, I have built some linear regression models in the past. My question is, is it worth looking for features with a correlation to my target variable as ...
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### Why is the hypothesis function $h_{\theta}(x)$ equivalent to $E[y | x; \theta]$ in generalised linear models?

Reading through the CS229 lecture notes on generalised linear models, I came across the idea that a linear regression problem can be modelled as a Gaussian distribution, which is a form of the ...
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### If features are always positives, why do we use RELU activation functions?

When does it happen that a layer (either first or hidden) outputs negative values in order to justify the use of RELU? As far as I know, features are never negative or converted to negative in any ...
31 views

### 3d representation of a regression with two independent variables one of them is categorical and another is continuous

I have hopefully a fundamental question of Do I understand things right. (Thank you in advance and sorry for my English which might be not so good) 1-Preambula 1: I know that if we have 2 independent ...
63 views

### Is there any way to apply linear transformations on a vector other than matrix multiplication?

I am trying to optimize the cost function calculation in regression analysis using a non-matrix multiplication based approach. More specifically, I have a point $x = (1, 1, 2, 3)$, to which I want to ...
218 views

### How to implement Mean square error loss function in mini batch GD

I have a vectorized implementation of the neural network in c++. I successfully solve the classification problems of Fashion MNIST and CIFAR. Now I am modifying my code to do the Linear regression. I ...
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### Do I need to denormalise results in linear regression?

I have learned so far how to linear regression with one or multiple features. So far, so good, everything seems to work fine, at least for my first simple examples. However, I now need to normalise ...
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### What is the difference between an generalised estimating equation and a recurrent neural network?

What is the difference between a generalised estimating equation (GEE) model and a recurrent neural network (RNN) model, in terms of what these two models are doing? Apart from the differences in the ...
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### Is there a machine learning algorithm to find similar sales patterns?

I have a dataset as follows (and the table extends to include an extra 146 columns for companies 4-149) Is there an algorithm I could use effectively to find similar patterns in sales from the other ...
54 views

### Auto-regression - Reduce error in prediction

I am trying to develop a time series model using autoregression. The data set is like as follows ...
189 views

### Actor-critic algorithm using gaussian Radial Basis Function, Local Linear Regression and shallow Neural Network

I'm attempting to implement the actor-critic algorithm on Matlab using Radial Basis Function, Local Linear Regression, and shallow Neural Network for inverted pendulum system. the state space and the ...
43 views

### Can we compare MAE MSE results with categorical_crossentropy?

can i compare MAE and MSE loss results of a regression CNN with categorical_crossentropy loss of a classification CNN if they both have similar tasks? is yes how to?
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### What Model Used for Forecasting Sales with Dynamic Holiday

I'm working on a project where I need to forecast sales data where I have history of 1 year (2017) daily data. I am new on Artificial Intelligence topic and after searching for a while, I think ARIMA ...
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### How to make machine learning model that reports ambiguity of the input?

Suppose I want to build a neural network regression model that takes one input and return one output. Here's the training data: ...
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### Will LMS always be convex function? If yes, then why do we change it for neural networks?

In LMS(least mean square) since, we use a quadratic error function, and quadratic functions are generally parabola in (some convex like shape). I wonder whether that is the reason why we use least ...
221 views

### What makes a machine learning algorithm a low variance one or a high variance one?

Some examples of low-variance machine learning algorithms include linear regression, linear discriminant analysis, and logistic regression. Examples of high-variance machine learning algorithms ...
237 views

### Does the correlation between inputs affect the model performance?

I'm currently working on a regression problem and I have 10 inputs/attributes. What should I do if there are correlations between different features of the input data? Does the correlation between ...
93 views

### Understanding the math behind using maximum likelihood for linear regression

I understand both terms, linear regression and maximum likelihood, but, when it comes to the math, I am totally lost. So I am reading this article The Principle of Maximum Likelihood (by Suriyadeepan ...
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### Matrix Dimension for Linear regression coefficients

While reading about least squares implementation for machine learning I came across this passage in the following two photos: Perhaps I’m misinterpreting the meaning of beta but if X^T has dimension ...
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### Regression on extreme values

I have a data set that looks like this: I would like to estimate a relationship between x-values and the corresponding 5% extreme y-values, something that might look like that : Do you have an idea ...
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### How do you handle multiple categorical values in a single column for wide_deep model in tensorflow? [closed]

To start, let me just say that I am very new to tensorflow and Machine Learning in general. But, as part of my learning project I am trying to adapt the tensorflow wide and deep model to generate ...
408 views

### Can we use the recursive least squares as a learning algorithm to an ADALINE?

I'm new to neural network, I study electrical engineering, and I just started working with ADALINEs. I use Matlab, and in their Documentation they cite : However, here the LMS (least mean squares) ...
724 views

### How is direction of weight change determined by Gradient Descent algorithm

The result of gradient descent algorithm is a vector. So how does this algorithm decide the direction for weight change? We Give hyperparameters for step size. But how is the vector direction for ...
99 views

### multi vs one prediction using Regression

I was trying to build a prediction system where I have the input data arranged in multiple columns. The input data would be of the type where I have weather, service type (bronze, silver, gold), size ...
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### In the multi-linear regression, how is the value of weight $b_2$ calculated?

In multivariate linear regression (linear regression with more than one variable) the model is $yi = b_0 + b_1x_{1i} + b_2x_{2i} + ...$ , and so on. But how is the $b_n$ value calculated iteratively? ...
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### Understanding a few terms in Andrew Ng's definition of the cost function for linear regression

I have completed week 1 of Andrew Ng's course. I understand that the cost function for linear regression is defined as $J (\theta_0, \theta_1) = 1/2m*\sum (h(x)-y)^2$ and the $h$ is defined as \$h(x) = ...