Fractal art, Datamoshing, algorithmic art and real-time generative art are examples.

Sol LeWitt created generative art in the form of systems expressed in natural language and systems of geometric permutation.

Steina and Woody Vasulka are video art pioneers who used analog video feedback to create generative art.

Adrian Ward created Auto-Illustrator as a commentary on software and generative methods applied to art and design.

As with many examples of Software Art, because live coding emphasises human authorship rather than autonomy, it may be considered in opposition to generative art.

Ordered generative art systems can include serial art, data mapping, the use of symmetry and tiling, number sequences and series, proportions such as the golden ratio, and combinatorics.

Disordered generative art systems typically exploit some form of randomization, stochastics, or aspects of chaos theory.

While ordered generative art systems are as old as art itself, and disordered generative art systems came to prominence in the 20th century, contemporary generative art practice tends to lean in the direction of complex generative systems.

The main proponent of such a theory is Noam Chomsky, the originator of the generative theory of grammar, who has defined language as a particular set of sentences that can be generated from a particular set of rules.

For the special case where is a joint probability distribution and the loss function is the negative log likelihood a risk minimization algorithm is said to perform generative training, because can be regarded as a generative model that explains how the data were generated.

An attempt to defend a system based on propositional meaning for semantic underspecification can be found in the generative lexicon model of James Pustejovsky, who extends contextual operations ( based on type shifting ) into the lexicon.

A 2012 Psychological Bulletin article suggests that at least 8 seemingly unrelated biases can be produced by the same information-theoretic generative mechanism.

In basidiomycete taxonomy, hyphae that comprise the fruiting body can be identified as generative, skeletal, or binding hyphae .< ref name = IMA >

Terms such as " transformation " can give the impression that theories of transformational generative grammar are intended as a model for the processes through which the human mind constructs and understands sentences.

Statistical algorithms can further be categorized as generative or discriminative.

While some generative art exists as static artifacts produced by previous unseen processes, generative art can also be viewed developing in real-time.

In this view both highly ordered and highly disordered generative art can be viewed as simple.

The discourse around generative art can be characterised by the theoretical problems which have motivated its development:

The two main categories of formal grammar are that of generative grammars, which are sets of rules for how strings in a language can be generated, and that of analytic grammars, which are sets of rules for how a string can be analyzed to determine whether it is a member of the language.

It has been argued by some linguists working in generative frameworks that speakers ' intuitive knowledge of the construction can only be explained by an innate universal grammar.

In the extreme case, a derecho can cover a huge area more than wide and over long, lasting up to 12 hours or more, and is associated with some of the most intense straight-line winds, but the generative process is somewhat different from that of most downbursts.

The same generative model can be written in vectorial form as

The basis vectors form the columns of the mixing matrix and the generative formula can be written

These results can be seen as evidence for the application of the " open-ended generative property " of language in human numeral cognition.

Just as metal can conduct electricity, the Metal person has strong impulses and generative powers and can bring about changes and transformations for those who come into contact with them.

In a 2012 article in Psychological Bulletin it is suggested the Worse-than-average effect ( as well as other cognitive biases ) can be explained by a simple information-theoretic generative mechanism that assumes a noisy conversion of objective evidence ( observation ) into subjective estimates ( judgment )..

Put more specifically, it can be said that rational reconstruction is a manner of explicating the deep generative structures that give rise to and allow for particular performances, behaviours, and other symbolically pre-structured realities.

The definition of morphemes also play a significant role in the interfaces of generative grammar in the following theoretical constructs ;

Later, it was also used in generative linguistics, most famously by Noam Chomsky and Morris Halle, and remains central to many accounts of the development of modern phonology.

The 1960s saw the rise of many new fields in linguistics, such as Noam Chomsky's generative grammar, William Labov's sociolinguistics, Michael Halliday's systemic functional linguistics and also modern psycholinguistics.

Noam Chomsky, teaching linguistics to students of information theory at MIT, combined linguistics and mathematics, by taking what is essentially Thue's formalism as the basis for the description of the syntax of natural language ; he also introduced a clear distinction between generative rules ( those of context-free grammars ) and transformation rules ( 1956 ).

* In diplospory ( also called generative apospory ), the megagametophyte arises from a cell of the archesporium.

Such indirect ( aka generative or developmental ) encodings also enable evolution to exploit the regularity in the environment.

This is a standard approach to programming by artists, but may also be used to create live music and / or video by manipulating generative systems on stage, a performance practice that has become known as Live coding.

He also addresses the mistaken equivalence by some that rule-based art is synonymous with generative art.

In linguistics, specifically in the study of syntax in the tradition of generative grammar ( also known as transformational grammar ), the deep structure of a linguistic expression is a theoretical construct that seeks to unify several related structures.

Kohonen maps ( also called self-organizing maps or SOM ) and its probabilistic variant generative topographic mapping ( GTM ) use a point representation in the embedded space to form a latent variable model based on a non-linear mapping from the embedded space to the high dimensional space.

It is also sensible to think in a generative sense, by taking an existing link diagram and " patching " it to make the other two — just so long as the patches are applied with compatible directions.

The Stoics also spoke of the logos spermatikos ( the generative principle of the Universe ), which is not important in the Biblical tradition, but is relevant in Neoplatonism.

The term generative grammar is also used to label the approach to linguistics taken by Chomsky and his followers.

In most approaches to generative grammar, the rules will also predict the morphology of a sentence.

Most versions of generative grammar characterize sentences as either grammatically correct ( also known as well formed ) or not.

* Many algorithmic music projects are also considered to be generative ( see algorithmic. net for some of them ).

According to Georg Wissowa and K. Latte Genius ( from the root gen -, whence gigno bear or be born, archaic also geno ) would design the specific virile generative potency, as opposed to feminine nature, reflected in conception and delivery, under the tutelage of Juno Lucina.

Romans believed the genius of somebody was an entity that embodied his essential character, personality, and also originally his vital, generative force and raison d ' être.

The deity's name usually appears in masculine grammatical form when he is conceived of as a male generative force, but the neuter form Caelum is also found as a divine personification.

The " great transgression ", the abuse of sex or generative force for sense gratification, must be expiated, under the Law of Cause and Consequence, through suffering in diseased and incapacitated bodies and minds, mainly afflicted with developmental disabilities, as there is a close connection between sexual activity and mental activity as well as the power of speech – and incurable cancer ( see also carcinogenesis and cancer treatment ) for those who abuse the sex function in a very marked and bestial degree.

With the advent of generative theory in the 1960s, researchers tried applying a generative approach in developing diasystemic explanations ; this also fell short.