Coordinate change
A coordinate change transforms points or data from one coordinate system or reference frame into another while preserving the represented relationships.
Deep Learning with R, Third Edition
A coordinate change is a transformation that expresses points using a different coordinate system.
- How it is used
- Simplifies classification and recognition by expressing data in coordinates that expose an easier rule.
- How deep it goes
- Explains hand-designed point separation and Cartesian-to-polar conversion, but does not develop formal coordinate mathematics.
- Examples
- Uses black-and-white point classification and clock-hand angles as concrete transformation examples.
- What you can do after
- Apply it by redesigning input features so a simple rule or machine-learning algorithm can solve the task.
Read how Deep Learning with R, Third Edition explains coordinate change →
Deep Learning with Python, Third Edition
A transformation that converts data points into a different coordinate system to obtain a more useful representation.
- How it is used
- Frames representation design as a way to turn difficult classification or recognition problems into simple rules.
- How deep it goes
- Defines the transformation through point classification and clock recognition, but stops short of formal derivations.
- Examples
- Uses separated black-and-white points, handwritten-digit features, and Cartesian-to-polar clock-hand coordinates.
- What you can do after
- Apply via feature engineering to express data in coordinates that support simpler rules or reduce the need for learning.
Read how Deep Learning with Python, Third Edition explains coordinate change →
Related concepts
- feature engineeringused by · Feature engineering is the creation, transformation, or selection of input features from data to provide useful representations for analysis or modeling.
- getBoundingClientRectuses · getBoundingClientRect is a DOM method that returns an element's size and position relative to the viewport.
- polar coordinateproduces · A polar coordinate specifies a point in two-dimensional space by its distance from an origin and its angle relative to a reference direction.
- coordinateuses · A coordinate is a numerical value or ordered set of values specifying a position relative to a coordinate system.
- rotationuses · A rotation is a geometric transformation that turns points or objects about a fixed center, origin, or axis through an angle while preserving distances and angles.
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