# Questions tagged [logistic-regression]

For questions about logistic regressions, a regression model where the dependent variable is categorical.

78 questions
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### What do the parameters of a multinomial logistic regression correspond to?

I've recently started learning about data science/statistics and learned how to derive such models as linear regressors and logistic regressors. What I don't understand, however, is what the ...
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### Vehicle Routing Problem that minimizes Total Time instead of Total Cost, with a few alterations

A company has to collect waste for different customers, at different locations, using two vehicles both with a certain capacity. The vehicles have to begin and end at the depot and when the capacity ...
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### Logistic Regression Coefficients transformation?

I have 5 columns of data. Column of lists_1, Total_1 which is a constant, column of lists_2 and Total_2 as a constant. Like this: ...
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### Growth with restrictions (finding maxvalue of constant term)

I have the following differencial ekvation that shows the population change for fish, where x is a constant death rate by accident. How can I determine the maximum value of x so that the fish ...
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### logistic regression global maximum

I am uncertain if this is the case both in general (does logistic regression always find global optimum) and in particular (does logistic regression always find global optimum when that the ...
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### Best optimization method for minimizing error of estimated default probability

The credit risk modelling problem can be stated as: $$\min_{a \in \mathbb{R}^{1 \times n}} \sum_i \Big( d_i -\frac{\exp(a x_i) }{1+\exp(a x_i)}\Big)^2$$ Where $d_i \in \mathbb{N} \in [0,1]$ is the ...
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### Adjustement in logistic regression model

Hi everyone I am dealing with a tricky situation. I will try to explain quickly my problem. I am working with a tool comprise of 7 items. Each item have 3 status ( bad, medium and good). In my study ...
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### How to distort a sigmoid / logistic function?

Please help. I need to move an object such that its distance / time profile resembles a sigmoid curve but in a non-symmetrical manner. 1- Let's say that I need to move 800cm in 3 seconds. How do I ...
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### For a Maximum Likelihood Estimation with events that implicate each other, how should the likelihood function be constructed?

The probability of a student with a skill parameter of "s" to obtain at least a score of "k" in a certain test is defined as: $$\frac{1}{e^{b_k-s}+1}$$ Where $b_k$ is a difficulty parameter of ...
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### Is a Logistic Regression always viable for having a dichotomous response variable?

Yes, I've asked this question already on stat.stackexchange, but I'm asking here as well to see if I can get any other feedback on the subject I have learned some about a simple logistic regression ...
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### Can I view maximum likelihood as finding the closest probability mass function (pmf) to the pmf with all its mass on the observed value

I took a deep dive into logistic regression recently. I was bothered by the fact that the likelihood formula often explicitly incorporates the values of the coding (0 or 1) into the calculation. In ...
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### How should I calculate cost function based on SSE and Sigmoid values?

Given the following Samples: x1 : X= 80, y =1, x2: X=20, y =1 , and x3: X = 120 y = 0 How should i go about these questions ? 1) Calculate the probability that y = 1 for each 𝑥0 of the data set (h𝜽...
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### Equivalent Neural Network in Keras to Multinomial Logistic Regression Using VGG16 Bottleneck features

In the Kaggle Dog Breed Identification kernel: https://www.kaggle.com/gaborfodor/dog-breed-pretrained-keras-models-lb-0-3 The bottleneck features from the VGG16 model (using Keras) are feed into a ...
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### Which bivariate analysis to use for determining significance in predictors between two groups?

I'm conducting a "typical" statistical analysis in my research, but I have a few questions regarding appropriateness of the tests I'm using and whether or not I'm doing things the correct way. I don't ...
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### Logistical Curve Tansformations

Mostly I am having a brain fart. Working on a game and wanted to use logistical curve for the experiance gain of skill levels. Idea is to create a system the reflects natural learning; early on you ...
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### softmax function in logistic regression: confusion about two different forms

I read that, in multiclass logistic regression, we have a pivot class $K$ and $K-1$ set of $\vec{w}$ weights, then, for the pivot class: \begin{eqnarray} P( C_K | \vec{x} ) &= 1- \sum_\limits{t=...
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### Logistic regression with arbitrary labels

I am doing logistic regression on some team stats for March Madness, where my response is 1 if "team A wins" and 0 if "team A loses". The problem with that is that the label "team A" is arbitrary. ...
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### Why can the logit function be written as a linear function?

The logit function is $ln \frac{F(x)}{1-F(x)}$. According to wikipedia and the variety of materials that I have read, we can write this in linear form ($\beta_0 + \beta_1x$) for purposes of ...
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### Model for headphone quality as a function of price

I've looked for any mathematical model that shows headphone quality as a function of the price of the headphones, but have not found anything yet. Of course, "quality" is quite subjective, which could ...
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### how to use original dataset to get the logistic regression?

This from wikipedia https://en.wikipedia.org/wiki/Logistic_regression I understand P(X=2)=0.26 is the predicted probability when hours is 2 after the logistic regression. I want to know how do we use ...