manifold data

USAGE SUMMARY

The phrase "manifold data" is correct and usable in written English.
It can be used to describe a variety of data types or sources, often in contexts related to data analysis or research. Example: "The study required the analysis of manifold data to draw comprehensive conclusions about the trends observed."

✓ Grammatically correct

Science

Academia

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

Experimental results on several benchmark databases suggest that the proposed MSNP provides a unsupervised feature extraction approach with powerful pattern revealing capability for complex manifold data.

Neurocomputing

Manifold data demonstrated the detrimental effect of triple negative phenotype on survival in Western populations [ 3, 7- 13], as opposed to more favorable prognosis in Chinese as well as Japanese counterparts [ 4, 5].

BMC Cancer

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

"Subspace Arrangements and Manifold Learning," invited talk at Workshop on Multi-Manifold Data Modeling and Applications, Institute for Mathematics and Its Applications, October 27-30 2008.

University of California, Berkeley

When designing the complex surface of an apparel product, abstractions are stored in conjunction with the models using a non-manifold data structure.

Computer-Aided Design

In detail, a non-manifold data structure, a constructive design method, four freeform modification tools, and a detail template encoding/decoding method are developed for the design automation of customized apparel products.

Computer-Aided Design

For the results shown below, we used k of 18. Varying k between 12 and 20 produced no qualitative differences in resulting manifolds (data not shown).

Plosone

Manifold-valued data and manifold-valued functions play an important role in a wide variety of applications, including mechanics, computer vision and graphics, medical imaging, and numerical relativity.

University of California, Berkeley

This paper proposes a generalization of the ordinary de Casteljau algorithm to manifold-valued data including an important special case which uses the exponential map of a symmetric space or Riemannian manifold.

Computer Aided Geometric Design

Given the complexity of PBPK models and the manifold-associated data, it is perhaps not surprising that the rise in industrial application can be traced to the growth and support of a variety of dedicated commercial PBPK software mentioned in the book.

CPT: Pharmacometrics and Systems Pharmacology

In order to show the belief propagation of our new ranking algorithm, along the manifold of the data, we generated a set of toy data, selected one data point as a query sample, and queried the rest samples to rank them.

Bioinformatics

Different from the previous works, the proposed method not only targets at preserving the local manifold structure of data, but also keeps the ordinal information among different data blocks in the low-dimensional subspace, where a ranking model can be learned effectively and efficiently.

Signal Processing

Expert writing Tips

Best practice

Pair "manifold data" with verbs that suggest exploration or analysis, such as "analyze", "explore", or "interpret", to emphasize the active engagement with the data's complexity.

Common error

Avoid using "manifold data" in contexts where simpler terms like "various data" or "diverse information" suffice. Using it inappropriately can sound pretentious or unnecessarily complex.

Linguistic Context

The phrase "manifold data" functions as a noun phrase, typically used as the object of a verb or preposition. It denotes a collection of data that is diverse, complex, and multi-faceted. Ludwig provides examples in scientific contexts, where it's used to describe complex datasets.

Expression frequency: Uncommon

Frequent in

Science

70%

Academia

20%

Formal & Business

5%

Less common in

News & Media

2%

Encyclopedias

1%

Wiki

2%

Ludwig's WRAP-UP

In summary, "manifold data" is a noun phrase used to describe diverse and complex datasets, primarily in scientific and academic contexts. Ludwig AI confirms its grammatical correctness and applicability, while suggesting related phrases like "diverse datasets" or "complex data structures" for varied expression. The key is to reserve "manifold data" for situations where you wish to emphasize the complexity and variety of the data, avoiding its use in simpler, informal contexts. The frequency is uncommon.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

diverse datasets

Emphasizes the variety and heterogeneity within the data.

varied data sources

Focuses on the different origins from which the data is collected.

complex data structures

Highlights the intricate organization and relationships within the data.

heterogeneous information

Underscores the non-uniform nature of the data.

multiple data streams

Refers to data arriving from different sources in a continuous flow.

multifaceted data

Highlights the numerous aspects or dimensions of the data.

assorted data types

Focuses on the different formats and categories of data.

mixed data formats

Specifies the combination of different formatting styles within the data.

various data points

Emphasizes the numerous individual measurements or observations in the data.

extensive data collection

Highlights the scale and scope of the data gathering process.

FAQs

How can I use "manifold data" in a sentence?

You can use "manifold data" to describe a collection of diverse and complex data points, such as: "The research project required the analysis of "manifold data" from various sources to identify key trends."

What are some alternatives to "manifold data"?

Depending on the context, you can use alternatives such as "diverse datasets", "varied data sources", or "complex data structures".

In what fields is "manifold data" commonly used?

"Manifold data" is frequently used in fields such as machine learning, data analysis, and scientific research, where datasets are often high-dimensional and complex.

Is "manifold data" appropriate for informal writing?

While grammatically correct, "manifold data" is more suited for formal and technical writing. In informal contexts, simpler alternatives like "various data" or "diverse information" may be more appropriate.