sparse instances

USAGE SUMMARY

The phrase "sparse instances" is correct and usable in written English. You can use it when referring to occurrences or examples that are infrequent or widely spaced apart. For example, "The study revealed sparse instances of the phenomenon across the dataset." Alternative expressions include "scattered examples" and "rare occurrences."

✓ Grammatically correct

Science

News & Media

Theoretical Computer Science

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

Algorithms solving the problem exactly have been designed but the running time is improved over trivial brute-force solutions only for very sparse instances.

Theoretical Computer Science

Human-verified similar examples from authoritative sources

Similar Expressions

57 human-written examples

The IMF is trying to measure the problems of sectors where data do not exist or are sparse: for instance, for hedge funds, money-market funds and over-the-counter derivatives.

The Economist

A possible explanation for the discrepancy of results is that such a hypothesis is only valid for areas where the population is generally sparse, for instance, where people of higher economic status reside.

Global Health Action

On the other hand, another major problem confounding the existing computational algorithm is that, available PPI networks are too sparse, for instance, the average numbers of interactions per protein are 5.29, 6.98, and 10.62 in DIP [ 31], Krogan [ 22], and Gavin [ 21], respectively.

BMC Systems Biology

For instance, [19] presents a sparse estimation example of 1-D NMR (modal) data by using Lasso [20], LARS [21] and OMP [22].

EURASIP Journal on Advances in Signal Processing

The writers were unimpressed by the 3D graphics of the sparse in-game instances where the Cx4 is used, particularly when compared to late-1994 SNES releases like Donkey Kong Country and Street Racer, neither of which use added cartridge technology.

Wikipedia

Regularization terms with sparse representations (for instance, the ℓ 1 norm regularizer) have been developed into an important tool in these applications, and a list of methods have been proposed [1 4].

EURASIP Journal on Image and Video Processing

An alternative approach could be using sparse approaches, for instance L1-regularization or point-mass mixture priors (West, 2003), in applications where the clustering assumption is unrealistic.

Bioinformatics

This paper is an extended version based on "A sparse Bayesian multi-instance multilabel model for skin biopsy image analysis, " by Gang Zhang, Xiangyang Su, Yongjing Huang, Yingrong Lao, Zhaohui Liang, Shanxing Ou, and Jimmy Huang which appeared in Bioinformatics and Biomedicine (BIBM), 2013 IEEE International Conference.

BioMed Research International

We found that for every instance, sparse DP requires less time than the classical DP. > -wrap-foot> Fragmentreesn trees are a tool to overcome the limitations of spectral library search, as they, for the first time, enable us to retrieve not only exact hits, but also similar compounds from a spectral database.

Bioinformatics

For this path, these instances were sparse and this was the case for all 5 paths; overall, the difference in velocities was significantly different from zero 8.6% of the time at the p<0.01 level and 2.8% of the time at the p<0.001 level.

Plosone

Expert writing Tips

Best practice

When using "sparse instances", ensure the context clearly indicates that the instances are both infrequent and potentially isolated. This phrase is particularly effective in technical and analytical writing where precision is key.

Common error

Avoid using "sparse instances" when the occurrences are simply small in number but regularly distributed. "Sparse" implies a lack of density or clustering, not just a low count.

Linguistic Context

The phrase "sparse instances" functions as a noun phrase, typically serving as the subject or object of a sentence. It describes a set of occurrences that are both infrequent and scattered. According to Ludwig AI, the phrase is grammatically correct and usable in written English.

Expression frequency: Rare

Frequent in

Science

60%

News & Media

20%

Theoretical Computer Science

20%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "sparse instances" is grammatically correct and functions as a noun phrase denoting infrequent and scattered occurrences. Primarily used in scientific and technical contexts, it conveys the scarcity and isolated nature of the instances being described. Ludwig AI confirms its usability in written English, while suggesting alternative phrases like "rare cases" or "infrequent occurrences" for different nuances. When using "sparse instances", ensure the context clearly indicates that the occurrences are not only few but also distributed sparsely.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

infrequent occurrences

Replaces "instances" with "occurrences", emphasizing the low frequency of events.

rare cases

Substitutes "instances" with "cases", focusing on specific situations that are uncommon.

scattered examples

Uses "scattered" to highlight the dispersed nature of the examples, rather than just their infrequency.

limited instances

Emphasizes the restricted quantity of instances, suggesting a scarcity.

few examples

Simple and direct alternative, highlighting the small number of examples.

scarce occurrences

Focuses on the limited availability or presence of the occurrences.

sporadic instances

Highlights the irregular and intermittent nature of the instances.

isolated cases

Implies that the cases are not only rare but also disconnected from each other.

occasional instances

Stresses that the instances happen only from time to time.

uncommon events

Replaces both "sparse" and "instances" to provide a broader, less technical alternative.

FAQs

How can I use "sparse instances" in a sentence?

You can use "sparse instances" to describe situations where examples or occurrences are infrequent and scattered. For example, "The dataset contained "sparse instances" of the anomaly, making it difficult to analyze."

What are some alternatives to saying "sparse instances"?

Depending on the context, you could use alternatives like "rare cases", "infrequent occurrences", or "scattered examples".

Is "sparse instances" a formal or informal phrase?

"Sparse instances" leans towards a more formal register, often used in scientific, technical, or analytical contexts. In casual conversation, simpler alternatives might be preferred.

What does "sparse instances" imply about the data?

"Sparse instances" suggest that the data points are not only few in number but also distributed in a way that lacks density or clustering. This can affect the types of analysis that are appropriate.