# Questions tagged [noise]

noise is a term used for the error term in statistical models and in signal processing. It could be white noise, colored noise or otherwise.

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### Remove non repeatable stochastic noise from an image

Assume that you have these coordinates inside an image. The algorithm for creating these crosses comes from FAST-algorithm for corner detection. But the problem with FAST-algorithm is that some of ...
1 vote
21 views

### Can I use percentile relative to a null distribution as a dependent variable?

A common practice in my field is to test that the relationship between Time Series A and Time Series B is statistically significant by re-coupling Time Series B against a randomly permuted version of ...
1 vote
58 views

### Regression ML model: Data Augmentation [closed]

I'm currently working on data augmentation to my regression problem, and a (possible) solution that came to my mind was to add a perturbed dataset to the original dataset, and hence double the ...
29 views

### How can I create realistic noisy data from distributions?

I want to create synthetic data from stitched distributions in order to test some models on them (for example Gaussian stitched with a GPD at quantile q). I'm currently simply sampling N*q points from ...
22 views

### Root Mean Square Error of the addition of two measurements whose RMS Error is known

I am working on a measurement system which tries to measure the distance between two values i.e $\Delta F=F_1-F_2$. Where $F_1, F_2$ are the values I actually measure. I have set up a Monte Carlo ...
1 vote
56 views

### Estimating a secret with before/after interchanging noises

$\newcommand{\Var}{\mathrm{Var}}\newcommand{\E}{\mathrm{E}}$ For $n+1$ iid "noise" variables $X_0,\dots,X_n$ from the normal distribution $\mathcal{N}(0,1)$ and a "secret" $s$ ...
24 views

### KDE-like technique to learn a continuous distribution from samples subject to specific noise

There's a continuous-valued random variable $X$ with distribution $f_X$. Normally, we're given a bunch of i.i.d. samples $X_1, \ldots, X_n$, and we try to give an estimate $\hat{f}_X$ of the ...
1 vote
32 views

### Can I fit a Poisson distribution to a continuous variable to apply event detection algorithm?

Preprocessing: I have a time series of number of tweets per 10 minutes time interval that are all taken from a given discussion on a specific topic in a specific region. I preprocessed the data by ...
21 views

### Deriving parameters of gaussian noise that will lead to bounded random walk

Given a bound on random walk, I am trying to derive the parameters of a normal distribution of noise, which when added to a signal and integrated will lead to random walk within specified bounds. My ...
1 vote
75 views

### How to find the curvature of a noisy function with few evaluations?

I'm working on a project in computational solid state physics where I have to find the curvature of a smooth function $f \ : [0,\infty] \rightarrow \mathbb{R}$ around the minimum point $x_0 = 0$. The ...
28 views

286 views

### Adding noise to non-negative imputed data

I have an hourly time series of wind speed data that spans 8 years. Wind speed must be non-negative but there are only ~80 out of ~70000 values that are exactly 0; the remainder are either positive or ...
154 views

### What is Hamming Window in Audio Analysis?

I am reading this paper. The paper writes ... an input waveform of t seconds is converted into a sequence of 128-D log mel filter bank features computed with 25 ms Hamming window every 10 s. The ...
1 vote
30 views

### How to infer noise map from noisy data?

I am given noisy measurements of the solution of a PDE at different times, each measurement is drawn from a Gaussian distribution having as mean the solution of the PDE at that time and a standard ...
80 views

### Adding noise to a dataset to "hide" its distribution

Given a dataset that follows "some" distribution, how can we add noise to the dataset, such that when the original dataset plus the noise is shown to someone, it looks uniformly random?...
1 vote
64 views

### Estimating the standard deviation

I have data of a function $f(t)$, where I always have just a single data point per $t$. It is known that the data is affected by noise, where the noise itself is also a function of $t$. Now I want to ...
291 views

### What jitter value should I use for this scatter plot?

I plotted a scatterplot between humidity and temperature (air) in centigrade. I got the following graph; It is evident that the points fall in discrete columns. This might be because of the rounding ...
1 vote
23 views

### Training twice on non-injective data

I have a large dataset of 30000 points, but most my Ys are the same while all Xs are different. Ys are from different samples, so I had means of Y for each sample and I used means alongside Xs to ...
286 views

### What is the combined standard deviation of Poisson photon shot noise and Gaussian read noise?

On various image sensor web sites (e.g., https://www.thorlabs.com/newgrouppage9.cfm?objectgroup_id=10773, https://www.microscopyu.com/tutorials/ccd-signal-to-noise-ratio you'll see something to the ...
1 vote
I have checked other questions regarding additive noise model, but I could not convince myself for non-linear case. Assume the data vector $\mathbf{d}$ is described by a possibly non-linear ...