empirical error

USAGE SUMMARY

The phrase "empirical error" is correct and usable in written English.
It can be used in contexts related to research, statistics, or data analysis, where it refers to the difference between observed values and the true values based on empirical data. Example: "The empirical error in our measurements indicates that we need to refine our data collection methods to improve accuracy."

✓ Grammatically correct

Science

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

We show detailed grid convergence studies and empirical error analysis.

Journal of Computational Physics

Figure 8 Empirical error rate CCDFs for interference trials.

EURASIP Journal on Wireless Communications and Networking

The right panels shows the regression profile of the empirical error versus the number of disclosing alters in Twitter.

EPJ Data Science

We observe that the estimated error distributions are located at the asymmetry in the empirical error distributions.

Computational Astrophysics and Cosmology

Detailed empirical error and convergence studies for high order weighted essentially non-oscillatory (WENO) schemes are presented in the case of special magnetohydrodynamic Riemann problems.

Journal of Computational Physics

SVM learning algorithms are based on the structural risk minimization, which is different from the empirical error minimization used in the traditional machine learning algorithms.

Human-centric Computing and Information Sciences

Taking into account the empirical error and the complexity of the classifier, SVM is widely used because it can optimize the road boundary [31 33].

EURASIP Journal on Image and Video Processing

We assume that the Ititial target shouldis a Gaussian random variabee anoted

EURASIP Journal on Wireless Communications and Networking

The constant C > 0 is the penalty parameter which computes the trade-off between the empirical error and the model complexity.

Journal of Petroleum Exploration and Production Technology

Hence, in the present study, a novel numerical scheme (RC) for pattern categorization which provides a good generalization ability with a small empirical error, is described.

Procedia Computer Science

At that end, social cooperation is both deeply consensual and reasonable: actors sincerely agree that their modes of cooperation can be justified as good, right, and free of empirical error.

SEP

Expert writing Tips

Best practice

When reporting research findings, quantify the "empirical error" to provide context for the reliability of your results. Always specify the method used to determine the error.

Common error

Avoid using "empirical error" when discussing theoretical models or simulations. "Empirical error" specifically refers to deviations observed in real-world data, not those predicted by theory.

Linguistic Context

The phrase "empirical error" functions primarily as a noun phrase. It typically acts as a subject or object, defining a quantifiable difference between observed results and predicted or theoretical values. As Ludwig AI shows, it is used within scientific and research contexts.

Expression frequency: Very common

Frequent in

Science

90%

Encyclopedias

5%

Formal & Business

2%

Less common in

News & Media

1%

Wiki

1%

Social Media

1%

Ludwig's WRAP-UP

In summary, "empirical error" is a frequently used noun phrase primarily functioning to quantify the difference between observed and expected outcomes, especially in scientific and research contexts. It's considered grammatically correct and, as Ludwig AI indicates, is widely used across various publications. When employing the term, it's crucial to provide quantitative data that highlights the reliability of the achieved results, being aware that such an error refers to real-world data, and not the theory.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

observed error

Focuses on the error that is directly witnessed or measured.

experimental error

Highlights the error arising specifically from the experimental process.

statistical error

Refers to error as it is defined and handled within statistical analysis.

measurement error

Emphasizes the inaccuracy in the measurement itself.

data error

Indicates errors found within the data set.

systematic error

Describes an error that is consistent and repeatable.

random error

Indicates error that varies unpredictably.

calculation error

Highlights mistakes that arise during calculation.

factual inaccuracy

Shifts the focus to the correctness of the facts presented.

practical error

Emphasizes errors that occur in real-world applications or practice.

FAQs

How is "empirical error" used in scientific research?

"Empirical error" is used to quantify the difference between observed values and expected values in experiments. Understanding this error is crucial for assessing the validity and reliability of research findings.

What's the difference between "empirical error" and "systematic error"?

"Empirical error" refers to the overall observed deviation from expected results. "Systematic error", on the other hand, is a specific type of error that consistently biases results in the same direction.

What are some methods for reducing "empirical error"?

Reducing "empirical error" involves improving measurement techniques, increasing sample sizes, controlling for confounding variables, and refining experimental procedures. Employing statistical methods can also help minimize the impact of random errors.

Can I use "empirical error" in non-scientific contexts?

While "empirical error" is most commonly used in science and statistics, it can be used in any field where data is collected and analyzed. For example, in business, one might discuss the "empirical error" in sales forecasts compared to actual sales data.