regularized by

USAGE SUMMARY

The phrase "regularized by" is correct and usable in written English.
It can be used in contexts where a process, method, or system has been made regular or standardized by a specific action or authority. Example: "The data was regularized by the new algorithm to ensure consistency across the dataset."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

47 human-written examples

The proposed encoder is regularized by an extension of previous work on contractive regularization.

Neural Networks

The resulting system of linear algebraic equations is ill-conditioned and therefore its solution is regularized by employing the zeroth-order Tikhonov functional, while the choice of the regularization parameter is based on the L-curve method.

Journal of Sound and Vibration

Let H →p,σ) denote the fiber Hamiltonian corresponding to the conserved total momentum →p∈R3 of the electron and the photon field, regularized by a fixed ultraviolet cutoff in the interaction term, and an infrared regularization parametrized by 0<σ≪1.

Journal of Functional Analysis

This problem is regularized by means of the Tikhonov method.

Applied Thermal Engineering

Our algorithm (3.1) is not regularized by contractions.

Fixed Point Theory and Applications

The other is rich in image details and regularized by the nonlocal TV term.

EURASIP Journal on Wireless Communications and Networking

Human-verified similar examples from authoritative sources

Similar Expressions

13 human-written examples

Manuel Estrada Cabrera then became provisional president, regularized his status by an election, and by repeated reelections maintained himself in power until leaders of the opposition Unionist Party forced him from office by having the assembly declare him insane (1920).

Encyclopedia Britannica

Scott Moncrieff regularized the sentence by putting the verb in the tense of habitual action: "I used to go to bed early".

The New York Times - Books

Next, we solve the inverse delay neural problem and reconstruct the kernel based on equation (30) regularized as indicated by equations (39) and (42).

The Journal of Mathematical Neuroscience

(3.5) when regularize it by using RGPA, the sequences generated by (3.5) changed into the following sequence: left { textstylebegin{array}l} u_{n}=J_{r_{n}} I-r_{n}A)(x_{n} I-r_{n}Aalpha_{n}f(x_{n})+(1-alpha_{n})T_{lambda_{n}}(u_{n}),quad forall ninmathbb{N}, end{array}displaystyle right.

Journal of Inequalities and Applications

(3.15) when regularize it by using RGPA, the sequences generated by (3.15) changed into the following sequences: left { textstylebegin{array}l} u_{n}=J_{r_{n}} I-r_{n}A)(x_{n} I-r_{n}A}=alpha_{n}f(x_{n})+(1-alpha_{n})T_{lambda_{n}}(u_{n}),quad forall ninmathbb{N}, end{array}displaystyle right.

Journal of Inequalities and Applications

Expert writing Tips

Best practice

When using "regularized by", ensure the subject requiring regularization is clearly stated. This clarity is essential in technical and scientific writing to avoid ambiguity.

Common error

Avoid using "regularized by" without a clear subject performing the regularization. For example, instead of "The process was regularized by", specify "The process was regularized by the new algorithm".

Linguistic Context

The phrase "regularized by" functions as a passive construction, indicating that a subject is being acted upon to achieve a state of regularity or standardization. As Ludwig AI suggests, this construction is grammatically sound and common, particularly in technical contexts.

Expression frequency: Common

Frequent in

Science

96%

Encyclopedias

2%

News & Media

2%

Less common in

Formal & Business

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "regularized by" is a grammatically sound and frequently used expression, especially in formal and scientific writing. Ludwig AI confirms its correctness and common usage. It serves to describe how something is made consistent or stable through specific methods. While "regularized by" is commonly used in technical contexts, understanding its passive construction and appropriate subject matter are crucial for clarity. Related phrases such as "standardized by" and "controlled by" offer alternatives that maintain similar meaning, but vary slightly in nuance. Remember to consider the specific context to ensure you choose the most accurate and appropriate expression.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

standardized by

Indicates a process of conforming to a standard.

controlled by

Suggests that something is being kept within certain limits or guidelines.

governed by

Implies regulation according to a set of rules or principles.

conditioned by

Highlights the influence of certain factors on the outcome.

shaped by

Indicates a formative influence.

adjusted by

Suggests a fine-tuning or modification process.

modified by

Indicates a change or alteration made by something.

influenced by

Shows that something is affected or changed by another factor.

constrained by

Highlights limitations or restrictions imposed.

dictated by

Emphasizes a forceful or mandatory influence.

FAQs

What does "regularized by" mean?

The phrase "regularized by" means that something has been made more uniform, consistent, or stable through the application of a specific method, rule, or process. It often appears in technical and scientific contexts to describe how data, models, or processes are adjusted to prevent overfitting or instability.

How do I use "regularized by" in a sentence?

Use "regularized by" to indicate the means by which something is made regular or consistent. For example, "The algorithm's output was "standardized by" a statistical method", or "The image was "enhanced by" filtering techniques."

What are some alternatives to "regularized by"?

Alternatives to "regularized by" include ""standardized by"", "controlled by", "governed by", "conditioned by", and "adjusted by". The best choice depends on the specific context and the nuance you wish to convey.

Is there a difference between "regularized by" and "normalized by"?

While both terms imply a process of adjustment, "regularized by" often suggests making something conform to a rule or pattern, while "normalized by" specifically refers to scaling values to fit within a standard range. For example, data might be "regularized by" a model to prevent overfitting, while data might be "normalized by" dividing by the mean.