based on these representations

USAGE SUMMARY

The phrase "based on these representations" is correct and usable in written English.
You can use it when referring to conclusions or decisions that are derived from specific representations or data provided earlier in the text. Example: "The final decision was made based on these representations of the data collected during the study."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

4 human-written examples

Due to the low cardinality and size of the generators, mining based on these representations, which does not generate duplicates, is very efficient.

Vietnam Journal of Computer Science

Due to the definition of the interval derivative (7) and two parametric representations (2) and (3) for interval-valued functions, in general, it cannot be expected that the derivative of an interval-valued function be equal based on these representations.

Advances in Difference Equations

Based on these representations, we decided to exclude the 5 Fe-rich objects, which compressed the potential separation of other objects, and to exclude As because, as shown in Table 2, it was detected in only 5 out of 200 measurements (e.g. in objects n° 36521- a nail - and n°106647 - a sword).

Chemistry Central Journal

Specifically, the task of ILGA is to learn (i) "affordances," representations of object features that indicate where it can be grasped, and (ii) motor parameters that can be used to successfully grasp objects based on these representations.

Biological Cybernetics

Human-verified similar examples from authoritative sources

Similar Expressions

56 human-written examples

Thus, the similarity matrix constructed based on these representation coefficients could be used for data clustering (Elhamifar and Vidal 2013; Vidal 2011).

Brain Structure and Function

Then, a similarity matrix was constructed based on these representation coefficients (Fig.  1d), and spectral clustering was applied to generate individual parcellation for each subject (Fig.  1e f).

Brain Structure and Function

However, they essentially extract fixed representations from pre-divided regions for each image and then perform matching based on these extracted representations.

Pattern Recognition

Autoencoders try to learn some representations of the input in the hidden layer in a way that makes it possible to reconstruct the input in the output layer based on these intermediate representations.

Journal of Big Data

Based on these perceptual representations, surface-related junctions are made explicit such that they could be interpreted to interact as to generate surface-segmentations in static or temporally varying images.

Plosone

The network was then trained to generate the orthographic and phonological outputs based on these visual representations.

Cognitive Psychology

Based on these integral representation formulas, the boundary behavior of some singular integral operators, and the Clifford analytic approach, we prove that the fourth-order elliptic Riemann type problem in (mathbb{R}^{3}) is solvable.

Boundary Value Problems

Expert writing Tips

Best practice

When using "based on these representations", ensure that the representations being referred to are clearly defined and accessible to the reader to avoid ambiguity.

Common error

Avoid using "based on these representations" without clearly specifying what "these representations" are. Always provide context so the reader knows exactly what you're referring to.

Linguistic Context

The phrase "based on these representations" functions as a prepositional phrase, modifying a verb or noun by indicating the foundation or rationale for an action, decision, or conclusion. As indicated by Ludwig, the phrase is grammatically correct.

Expression frequency: Rare

Frequent in

Science

75%

News & Media

17%

Encyclopedias

8%

Less common in

Formal & Business

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "based on these representations" is a grammatically sound prepositional phrase used to justify or explain a conclusion by referencing specific models or depictions. Ludwig AI confirms its correctness and usability. The phrase appears most frequently in scientific and academic writing, suggesting a formal register. When using this phrase, ensure the "representations" are clearly defined to avoid ambiguity. While examples are somewhat rare, the phrase is well-established in formal discourse, providing a strong foundation for analytical statements.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

informed by these renderings

Substitutes "based on" with "informed by" and "representations" with "renderings", indicating influence.

considering these depictions

Replaces "based on" with "considering" and "representations" with "depictions", altering the emphasis slightly.

taking into account these schemas

Emphasizes consideration of underlying structures by substituting "representations" with "schemas".

given these illustrations

Substitutes "based on" with "given" and "representations" with "illustrations", changing the tone and focus.

using these characterizations

Replaces "based on" with "using" and "representations" with "characterizations", focusing on the method of utilization.

grounded in these formulations

Indicates a firm foundation by using "grounded in" instead of "based on" and "formulations" in place of "representations".

according to these portrayals

Uses "according to" instead of "based on" and "portrayals" in place of "representations", modifying the perspective.

stemming from these depictions

Highlights the origin of something by replacing "based on" with "stemming from" and uses "depictions" instead of "representations".

relying on these models

Changes "based on" to "relying on" and "representations" to "models", shifting the emphasis to dependence.

drawing from these accounts

Replaces "based on" with "drawing from" and "representations" with "accounts", suggesting a more active interpretation.

FAQs

How can I use "based on these representations" in a sentence?

Use "based on these representations" to indicate that a conclusion, decision, or action is derived from specific depictions, models, or accounts. For example, "The analysis was conducted "based on these representations" of the data collected."

What are some alternatives to "based on these representations"?

You can use alternatives such as "informed by these renderings", "according to these portrayals", or "relying on these models", depending on the specific nuance you wish to convey.

Is it better to say "based on these representations" or "on the basis of these representations"?

Both "based on these representations" and "on the basis of these representations" are grammatically correct and have similar meanings. The choice between them often comes down to stylistic preference, though "based on" is generally more concise.

What's the difference between "based on these representations" and "based on these results"?

"Based on these representations" refers specifically to depictions, models, or accounts, while "based on these results" refers to outcomes or findings. The former focuses on interpretations of existing models, whereas the latter focuses on observed data.