Unparameterized

"Unparameterized" is an adjective used to describe something that does not involve or is not defined by parameters. Parameters are typically variables or constants that are used to control the behavior, characteristics, or output of a system, model, or function. When something is unparameterized, it means these adjustable or defining elements are absent or not explicitly specified.

In various fields, the concept of "unparameterized" carries specific meanings. In statistics and machine learning, an unparameterized model, often referred to as a non-parametric model, is one where the form of the relationship between variables is not assumed in advance. Instead, the model is allowed to learn the relationship directly from the data. This contrasts with parametric models, which assume a specific functional form (e.g., a linear regression assumes a linear relationship).

In computing, a function or method can be unparameterized if it does not accept any arguments. Its behavior is fixed and not subject to external input through parameters. Similarly, in mathematics, an unparameterized curve or surface is one that is described directly by an equation relating its coordinates, rather than being defined by a set of parameters that trace out the shape.

The term "unparameterized" signifies a lack of explicit control or definition through adjustable variables. It implies that the entity in question is either inherently fixed, defined by its structure alone, or learns its characteristics from the data without predetermined adjustable settings.