sparse language is a formal language (a set of strings) such that the complexity function, counting the number of strings of length n in the language...

up sparse in Wiktionary, the free dictionary. Sparse may refer to: Sparse, a software static analysis tool Sparse language, a type of formal language in...

Sparse is a computer software tool designed to find possible coding faults in the Linux kernel. Unlike other such tools, this static analysis tool was...

In numerical analysis and scientific computing, a sparse matrix or sparse array is a matrix in which most of the elements are zero. There is no strict...

representations assume useful properties. Examples are regularized autoencoders (sparse, denoising and contractive autoencoders), which are effective in learning...

large language model (LLM) is a language model trained with self-supervised machine learning on a vast amount of text, designed for natural language processing...

These methods focus on the encoding of text as either dense or sparse vectors. Sparse vectors, which encode the identity of a word, are typically dictionary-length...

and NP-complete for more details. Fortune showed in 1979 that if any sparse language is co-NP-complete (or even just co-NP-hard), then P = NP, a critical...

The Indo-European languages are a language family native to the northern Indian subcontinent, most of Europe, and the Iranian plateau with additional native...

Stephen Mahaney that states that if any sparse language is NP-complete, then P = NP. Also, if any sparse language is NP-complete with respect to Turing...

n, but not all sparse languages are unary; thus TALLY is contained in SPARSE. It is believed that there are no NP-hard unary languages: if there exists...

from that of its predecessor, GPT-2, making GPT-3 the largest non-sparse language model to date.: 14  Because GPT-3 is structurally similar to its predecessors...

consequence would be the nonexistence of sparse NP-complete languages. The nonexistence of sparse NP-complete languages in turn implies that P ≠ NP, because...

The Germanic languages are a branch of the Indo-European language family spoken natively by a population of about 515 million people mainly in Europe,...

pronounced [ˈʕarabiː] or [ʕaraˈbij]) is a Central Semitic language of the Afroasiatic language family spoken primarily in the Arab world. The International...

(endonym: português or língua portuguesa) is a Western Romance language of the Indo-European language family originating from the Iberian Peninsula of Europe...

the West Germanic languages and the extinct East Germanic languages. The language group is also referred to as the Nordic languages, a direct translation...

conclusively demonstrated, and support for the proposal is sparse among linguists. The languages share some unusual morphology, but if they are related,...

In some cases, their exact relation was difficult to determine from the sparse evidence of runic inscriptions, so that some individual varieties have been...

admittedly sparse Gothic loans for Albanian studies, however, arguing that Gothic is the only clearly post-Roman and "pre-Ottoman" language after Latin...

Camunic language is an extinct language that was spoken in the 1st millennium BC in Val Camonica, a valley in the Central Alps. The language is sparsely attested...

building on work by Mitsunori Ogihara, showed that if there exists a sparse language that is P-complete, then L = P. P is contained in BQP; it is unknown...

Germanic dialects before their final divergence into separate Nordic languages. Old Norse was spoken by inhabitants of Scandinavia and their overseas...

Rhaeto-Romance language spoken predominantly in the Swiss canton of the Grisons (Graubünden). Romansh has been recognized as a national language of Switzerland...

Rodez-Aveyron area of Cantal in the late 19th century. Guanajuato, Mexico – A sparse number of Occitan settlers are known to have settled in that state in the...

merged with either the genitive, dative or instrumental cases. However, sparse remnants of the earlier locative and ablative cases are visible in a few...

whether they represent the language of Goguryeo or the people that it conquered. Traces from the south of the peninsula are very sparse: The Silla placenames...

Swedish (endonym: svenska [ˈsvɛ̂nːska] ) is a North Germanic language from the Indo-European language family, spoken predominantly in Sweden and parts of Finland...

of the English language, spoken in England and southern and eastern Scotland in the Early Middle Ages. It developed from the languages brought to Great...

light of sparse data in the case of Sorbian. Matt Coler and Andrew Nevins, eds., Contemporary research in minoritized and diaspora languages of Europe...