"Regularized" Pronounce,Meaning And Examples

"Regularized" Meaning

Regularized is an adjective that means made regular in form, structure, or pattern, or subject to rules or laws, with the aim of improving or maintaining order, discipline, or efficiency.

In mathematics and statistics, regularization is a technique used to modify or adjust a model or algorithm to prevent overfitting, typically by adding a penalty term to the loss function.

In a broader sense, regularization can refer to:

The act of making something conform to a standard or pattern.
The process of improving or modernizing something to make it more efficient or effective.
A set of rules or laws that are enforced to maintain order or discipline.

Examples:

The company regularized its accounting procedures to improve transparency.
The software algorithm was regularized to prevent overfitting.
The new policy aims to regularize the use of renewable energy.

"Regularized" Examples

Usage Examples of "regularized"

1. Mathematics

In calculus, a regularized function is a function to which a small positive constant has been added to the denominator of functions like the function f(x) 1/x.
Example: To avoid division by zero, the function f(x) 1/x is regularized as f(x) 1/(x + 10^-4).

2. Computer Science

In machine learning, L1 and L2 regularized loss functions are used to prevent overfitting by adding a penalty term to the loss function.
Example: "In our model, we used L2 regularization to avoid overfitting and improve the model's generalizability."

3. Finance

In finance, the domestic content bonus, also known as the Canadian content bonus, is a regularized return on a portfolio of shares of more than 25% "exposed" to a country's domestic market, subject to certain conditions.
Example: "Due to the worldwide lockdowns and the unprecedented economic changes caused by the pandemic, investors sought to diversify their portfolios by considering a regularized exposure to equity markets worldwide."

4. Linguistics

Synthetic morphology is more rationalized than inflectional morphology and more regularized than distributional morphology.
Example: "Throughout the schools of antiquity, inflectional types prevailed only after the other morphological and more regularized modes were proven to be farther superior."

5. Ecology

Ecological cost-benefit analysis can highlight the efforts needed to regularize pollution, noise, or water flows into the environment that potentially affect regional natural conditions.
Example: "Air pollution affects populations of a species and endangers ecosystem services that the ecosystem provides to species living here. Natural steps need to be considered to regularize air quality indicators in unfortunate scenarios like this."