The gradient ∇θL is an inherently signed, directional quantity; a system with access to error magnitude but not directional valence cannot compute it

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• Gradients are nearly non-existent in the modern environment because naive standardization, mass-production, and regulation of sizes all work against their formationclaim0.764
  Claim that one of the most powerful forms of life has been almost removed from the environment by industrial production norms
• Gradients play a large role in nature (mountains, electric fields, embryos, rivers) and are mirrored by the success of mathematical tools like tensor calculus.claim0.763
• Granted that learning requires signed information, but why must the sign be felt? Why can't directional error be represented as a computational quantity without phenomenal character?question0.758
  The central objection the paper must answer to establish identity over mere correlation
• The magnitude of the normalized gradients (choice of αk) plays an important role in performance.claim0.738
  Insight about gradient normalization scaling.
• Gradientsconcept0.737
  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
• gradient-magnitude balancingconcept0.737
  Addressing disparity in gradient magnitudes across tasks at the gradient level
• Positional information gradientconcept0.731
  Gradient that tells a cell its correct position; stress arises from deviation from this gradient.
• The proposed gradient-magnitude balancing method consistently outperforms GradNorm, as it guarantees equal gradient magnitudes and considers update magnitude.claim0.731
  Advantage over GradNorm.