Questions tagged [interpolation]

Given a set of bivariate data (x, y), to impute a value of y corresponding to some value of x at which there is no measurement of y is called interpolation, if the value of x is within the range of the measured values of x.

194 questions
Filter by
Sorted by
Tagged with
8 views

“Expanding” time series data without interpolation in SAS [closed]

I have some video coding data that were coded in 5 minute intervals. The variables I am working with specifically is time when behavior changed (relative to the beginning of the 5 minute video in ...
49 views

Calculating percentile data points of a distribution give min,median, Max, mean and StDev

I am trying to populate 100 data points (equal percentiles) from 5 data points. I have Minimum,median,maximum and standard deviation. So the first of the 100 data points would be the minimum, and the ...
43 views

Interpolating time ordered smooth function into space

I am using GAMs in R to generate daily weather variables, mainly precipitation and temperature. Currently, I am fitting a model for each weather station but I would like to use it in places where ...
20 views

Interpolate/Impute Time Series Data from another Time Series

I have a dataset of multiple lakes with water level elevations through time. The observations are not regularly spaced and have many large gaps. Further, some of the older observations may be of lower ...
53 views

Interpolation of uneven data in 2D using Gaussian Process

I have a dataset that is spacially distributed like the figure below. The function values of each point is plotted as the elevation in the 3rd dimension. Now, I want to find a kernel/and or method ...
33 views

Handling non-uniform frequency data

I have some medical data (heart rates) at non-uniform intervals (usually readings every few min at the start of the study and several readings a minute toward the end). The timing and when the change ...
29 views

Giving uncertainties to interpolated values in time series: application to mass balance reconciliation

My problem concerns a mass balance reconciliation in an industrial system. I have a node with several flows in-coming and one or several out-coming, what's incoming should equals what's out-coming (...
3k views

Extrapolation v. Interpolation

What is the difference between extrapolation and interpolation, and what is the most precise way of using these terms? For example, I have seen a statement in a paper using interpolation as: "The ...
11 views

Converting extrapolation point to interpolation point

Just wondering if this is possible via mathematical conversion. I thought some Kernels might do this in the kernel space. I got curious whether it's possible to create a general method that ...
30 views

Interpolation versus imputation for time series on chemical profiles of water wells

So I am working with some data on water wells and time series of chemical pollutant tests on those wells. There are 10 chemicals and 10 years in the data. My goal is to do some clustering on the wells ...
22 views

how to select training and testing data for interpolation in 100 instances data?

I would like to divide my data of only 100 instances into training and testing an use the training data to fit a curve(interpolate) and use the testing data to calculate the error at the interpolated ...
39 views

Propagating Uncertainties on Interpolated Data

I have a data set of 2000 $[x, F(x), \delta F(x)]$ triples, where $x$ is exact and $F$ is a measured value with an uncertainty $\delta F$. I can interpolate/fit the function however needed, and this ...
32 views

SAS Proc expand, how does it go from lower to higher frequencies [closed]

Proc Expand is quite useful for interpolating values, however sas help is not clear how it does when we want to spread the time series from a lower frequency (say year) to a higher frequency (say ...
106 views

What is the best way to represent uncertainty from linear interpolation?

A little background to this question: Part of my job is to conduct flood risk appraisals to help determine the viability of flood defence construction. There is a standardised way to do this, which ...
14 views

Word for data-series comprised from resampled, interpolated and merged data-series

Two series of data-points for a specific curve are given: $x$ as a function of $y$ (high resolution, low range) $y$ as a function of $x$ (low resolution, high range) The two series are merged and ...
25 views

Is there a method to approximately predict a 3D curve given two plane view of the curve?

Let's say the original data contains three variables, so it is a list of (x,y,z). In the figure, the blue and red curves are the lists of (x,z1) and (y,z2), respectively. These two lists are obtained ...
26 views

Covariance matrix for a 2D state vector

I'm performing Optimal Interpolation (which in fact is a simplified Kalman filter with constant $\mathbf{K}$). My state variable is a 2D concentration field with a size of 370 x 400 on which I try to ...
57 views

How to handle multiple points at the same location in spatial interpolation?

I am new to the topic of spatial interpolation and would appreciate your opinion on a general question which has arisen. Suppose I have a data set containing rental rates for different apartments in ...
55 views

Regression for curve fitting

For a curve generated from dataset points, split the curve into parts and obtain the best-fit degree of polynomial,coeffcients and the interval/range of the split through implementation in python.I am ...
18 views

Piece wise Polynomial Regression [duplicate]

It's wide known that for polynomial interpolation Chebyshev sites (as knots) are almost optimal, we can show that using those the Lebesgue constant is near to the lower bound. Is that claim also ...
92 views

Estimating Spline curve by OLS. Is a good idea to fix the knots at Chebyshev sites?

I am writing my master's degree thesis on a novel method for fixing knots in an adaptive way and while reading the literature I've found many references to the so-called Chebyshev sites. This sites or ...