The Manifold Hypothesis: Why Data Lives on a Lower Dimension
High-dimensional data is rarely as vast as it looks.
High-dimensional data is rarely as vast as it looks.
To regularize a model is to lean on it, gently, in a chosen direction.
Every model that fits data faces a pull in two directions.
No learner learns from data alone.
To learn is to go beyond what one has seen.
Aging has long been treated as destiny; it is increasingly treated as a variable.
Large systems fail not gradually but suddenly.
To call the genome a text is irresistible and misleading in equal measure.
Few ideas strain intuition as entanglement does.
Perception may be less a recording than a wager.