# Tagged Questions

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### How to perform a monotonic function fitting of data points?

I'm seeking suggestions for general purpose function fitting of a set of data points, where, based on physical intuition, the relationship is expected to be "monotonic", i.e. the function should be ...
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### Guess a function that fits empirical data

This is my empirical data: Which function it looks like? I tried to guess (1) a dumped (exponential decaying) sinusoidal, but it does not oscillate after overshoot; (2) a sigmoid, but it oscillate ...
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### Measure for functional distance?

Let's say there are input points $X$ and two functions $f$ and $f'$ which have results $Y$ and $Y'$ when applied to $X$. There is no noise in this case. Are there any distance measures that exist to ...
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### Regression function - conditional mean

I am trying to understand the statistical fundamentals behind linear regression, and i have never been able to intuitively understand the following; really would appreciate if someone could give an ...
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### What is the difference between Curve Fitting and Regression(Machine Learning)?

I know that Machine Learning regression algorithms try to find the function of the data. That is, if we have 1000 data points (x,y), to find a general continuous function that follows the trends of ...
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### Can the sigmoid function approximate any function (or relation) where 0<y<1

I'm studying Machine Learning and Artificial Neural Networks. Some basic principles of Machine Learning are linear regression, multivariate linear regression, and nonlinear regression. The last of ...
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### Function description

I have function looks like this: So, the point is after it comes to steady state, it slowly goes down. How can I describe such a behaviour? The datapoints are: ...
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### An intuitive explanation for neural networks as function approximators ?

We use normal linear regression for modelling functions on datasets . But Can someone explain how neural networks help in approximating more complex ,especially non-linear functions ? intuitively , ...
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### How to convert the constants in a regression equation to constants in a linear equation

Hello dear mathematicians, I'm not entirely sure what to tag this question with since I'm new here but I hope some more experienced user can guide me. Here is my problem: I'm using an internal ...
1k views

### Construct / find the simplest function based on data

Let's say I have these 7 natural numbers (all between 0 and 255): 255, 23, 45, 32, 87, 52, 146 How can I find a function F(x) that, once computed, gives me back ...
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### Find square root approximation function (tool)

first I have to apologize for any uncorrect naming or categorisation of my question, as I am an electrical engineer rather than a mathematican. I try to find a simple solution for my problem: I have ...