claim
active
claim:gradients-play-a-large-role-in-nature-mountains-electric-fields-embryos-rivers-and-are-mirrored-by-the-success-of-mathematical-tools-like-tensor-calculusGradients play a large role in nature (mountains, electric fields, embryos, rivers) and are mirrored by the success of mathematical tools like tensor calculus.
Neighborhood — ranked by edge-count
Chapters (1)
chapter
- This chapter argues that the fifteen properties appear ubiquitously in natural systems, supporting the thesis that living structure is a fundamental property of nature, not just artifacts.
Related by similarity (8)
cosine ≥ 0.65 · no typed edgeEntities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.
- Claim that one of the most powerful forms of life has been almost removed from the environment by industrial production norms
- The property that qualities vary slowly, subtly, gradually across the extent of each living thing; gradients arise as natural responses to changing circumstances and create field-like character that points toward and establishes centers
- The magnitude of the normalized gradients (choice of αk) plays an important role in performance.claim0.778Insight about gradient normalization scaling.
- Mathematical constraint showing that backpropagation requires signed information
- Synthesis of geometry and life.
- Proposes that nonlinear geometric structure is superior to linear feature spaces for capturing semantic content.
- Analogy to trace elements and enzymes.