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SPARSE contains TALLY, the class of unary languages, since these have at most one string of any one length. Although not all languages in P/poly are sparse, there is a polynomial-time Turing reduction from any language in P/poly to a sparse language. [1] Fortune showed in 1979 that if any sparse language is co-NP-complete, then P = NP. [2]
Sparse may refer to: Sparse, a software static analysis tool; Sparse language, a type of formal language in computational complexity theory; Sparse matrix, in numerical analysis, a matrix populated primarily with zeros; Sparse file, a computer file mostly empty; Sparse network, a network with many fewer connections than possible
Learned sparse retrieval or sparse neural search is an approach to Information Retrieval which uses a sparse vector representation of queries and documents. [1] It borrows techniques both from lexical bag-of-words and vector embedding algorithms, and is claimed to perform better than either alone.
For example, the Appaloosa usually have sparse manes, [2]: 63 whereas Andalusians usually have thick long wavy manes. [3]: 18 [2]: 60 Pony breeds and draft horse breeds tend to have thick manes. Other equids such as the donkey often have very sparse, thin manes. A mane might be the same color as the body hair, or a different color altogether.
Wordle is a word puzzle that gives players six chances to guess a five-letter word. Originally created by software engineer Josh Wardle and released to the public in 2021, the puzzle was acquired ...
A simple unweighted network of size is called sparse if the number of links in it is much smaller than the maximum possible number of links : [1] = (). In any given (real) network, the number of nodes N and links M are just two numbers, therefore the meaning of the much smaller sign (above) is purely colloquial and informal, and so are statements like "many real networks are sparse."
The correlation between aridity and sparse population is complex and dynamic, varying by culture, era, and technologies; thus the use of the word desert can cause confusion. In English before the 20th century, desert was often used in the sense of "unpopulated area", without specific reference to aridity ; [ 2 ] but today the word is most often ...
Sparse approximation ideas and algorithms have been extensively used in signal processing, image processing, machine learning, medical imaging, array processing, data mining, and more. In most of these applications, the unknown signal of interest is modeled as a sparse combination of a few atoms from a given dictionary, and this is used as the ...