lower-dimension manifold
[ˈloʊ.ər dɪˈmen.ʃən ˈmæn.ɪ.foʊld]
nounpl: lower-dimension manifolds
variedade de menor dimensão
1. A mathematical object that is a topological space locally resembling Euclidean space and having a dimension lower than the ambient space in which it is embedded
The surface of a sphere is a lower-dimension manifold embedded in three-dimensional space.
A superfície de uma esfera é uma variedade de menor dimensão imersa no espaço tridimensional.
2. In machine learning and data analysis, a geometric structure of reduced dimensionality used to represent high-dimensional data
The algorithm discovered a lower-dimension manifold that captures the essential structure of the dataset.
O algoritmo descobriu uma variedade de menor dimensão que captura a estrutura essencial do conjunto de dados.
3. A submanifold whose dimension is strictly less than that of the space containing it
In differential geometry, a curve is a lower-dimension manifold within a higher-dimensional space.
Em geometria diferencial, uma curva é uma variedade de menor dimensão dentro de um espaço de maior dimensão.
This is a specialized mathematical and machine learning term primarily used in academic, scientific, and technical contexts. In Brazil, the term is widely used in university mathematics and computer science programs, particularly in applied mathematics and artificial intelligence research. The concept gained prominence with the rise of machine learning and data science fields. There is no colloquial or slang equivalent, as the term is restricted to technical discourse.
Related Idioms & Phrases
manifold learning techniques
embedded in a lower-dimension space
dimensionality reduction via manifolds
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