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Justyna Jupowicz-Kozak

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perturbations of data

Grammar usage guide and real-world examples

USAGE SUMMARY

The phrase "perturbations of data" is correct and usable in written English.
It can be used in contexts discussing variations, disturbances, or changes in data sets, particularly in scientific or technical writing. Example: "The study aimed to analyze the perturbations of data caused by environmental factors over time."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

Joint linkage QTL are relatively stable to perturbations of data inputs, but their resolution is generally on the order of tens or more Mbp.

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

The ensemble Kalman filter (EnKF) is recognized as a powerful data assimilation technique that generates an ensemble of model variables through stochastic perturbations of forcing data and observations.

It is robust to perturbations of input data, independent of dimensions and coordinates, and provides a compact representation of the qualitative features of the input.

However, in the presence of the CSI uncertainty, the performance of NonRobust degrades dramatically at most of times since that pretty small perturbations of uncertainty data can make the nominal optimal solution heavily infeasible and thus meaningless.

To answer these questions, we performed two types of perturbations of our data set.

However, the feature set selected by LASSO is not robust, even to slight perturbations of the data.

As the determination of a cutpoint may be unstable with respect to perturbations of the data, this analysis was confirmed using non-parametric bootstrapping, by repeating the original analysis 2000 times using samples drawn from the original distribution with replacement.

If the operator F is not continuously invertible, then (1) may not have a solution and, if a solution exists, arbitrarily small perturbations of the data may lead to unacceptable results.

This paper shows that in a very general setting Σ(F,  y,  β) is stable with respect to perturbations of the data y and the operator F (Lemma 3.6 and Theorem 3.9), and the regularized solutions converge to R -minimizing solutions of F x) =  y as β → 0 (Theorem 3.10).

In order to assess the reliability of the obtained best fit parameters, we investigated whether they can be uniquely determined for the given experimental data (identifiability analysis) and how perturbations of the experimental data within the measuring accuracy affect the parameter estimation (confidence intervals).

Consequently, the standard numerical procedures to solve such equations are unstable and pose very serious problems when the data are not exact; that is, small perturbations of the observation data may lead to large changes on the considered solution.

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Expert writing Tips

Best practice

When discussing the impact of external factors on a dataset, use "perturbations of data" to specifically highlight the disruptions caused by these factors.

Common error

Avoid using "perturbations of data" when simpler terms like "changes in data" or "data variations" are more appropriate, especially in non-technical contexts.

Antonio Rotolo, PhD - Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Antonio Rotolo, PhD

Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Source & Trust

82%

Authority and reliability

4.1/5

Expert rating

Real-world application tested

Linguistic Context

The phrase "perturbations of data" functions as a noun phrase, typically serving as the subject or object of a sentence. It describes alterations or disturbances within a dataset, often in a scientific or technical context. Ludwig AI confirms that the phrase is grammatically correct and usable.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, the phrase "perturbations of data" is a grammatically sound and technically specific term used to describe disturbances or changes within a dataset. As Ludwig AI confirms, it is most commonly found in scientific contexts and is used to highlight the impact of these changes on a model or system. While accurate, it should be employed judiciously, ensuring it fits the formality and technical nature of the discussion. Simpler alternatives may suffice in less technical settings.

FAQs

How can I use "perturbations of data" in a sentence?

You can use "perturbations of data" to describe how changes or disturbances affect a dataset, such as: "The study analyzed the effects of environmental "perturbations of data" on the model's accuracy."

What's a simple way to explain "perturbations of data"?

"Perturbations of data" refers to alterations or disturbances within a dataset, often caused by external influences or errors. It is similar to saying "changes in data".

When is it appropriate to use "perturbations of data" instead of "data variations"?

Use "perturbations of data" when emphasizing the disruptive or destabilizing nature of the changes. "Data variations" is a more general term for any kind of change, while "perturbations" implies a more significant impact.

What are some alternatives to "perturbations of data"?

Some alternatives include "data disturbances", "data variations", or "data anomalies", depending on the specific context and nuance you want to convey.

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