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Multivariable calculus and matrix calculus

#multivariable-calculus-and-matrix-calculus · 16 entries. Projects, essays and notes, newest first.

02-02-303Directional DerivativeNoteDifferential operators: gradients, Jacobians, Hessians 02-02-309Gradient Flow (vanishing and exploding gradients)NoteMatrix calculus identities and automatic differentiation 02-02-304Gradient (Row Vector Form)NoteDifferential operators: gradients, Jacobians, Hessians 02-02-305Gradient DirectionNoteDifferential operators: gradients, Jacobians, Hessians 02-02-306Hessian MatrixNoteDifferential operators: gradients, Jacobians, Hessians 02-02-307Jacobian Matrix (f: ℝⁿ → ℝᵐ)NoteDifferential operators: gradients, Jacobians, Hessians 02-02-308Jacobian Matrix (f: ℝⁿ → ℝᵐ)NoteDifferential operators: gradients, Jacobians, Hessians 02-02-310Gradient of a Linear TransformationNoteMatrix calculus identities and automatic differentiation 02-02-311Gradient of Squared ErrorNoteMatrix calculus identities and automatic differentiation 02-02-312Product RuleNoteMatrix calculus identities and automatic differentiation 02-02-313Reverse Mode BackpropagationNoteMatrix calculus identities and automatic differentiation 02-02-314Sum RuleNoteMatrix calculus identities and automatic differentiation 02-02-315Implicit Differentiation (If F(x,y) = 0)NotePartial differentiation and total differentials 02-02-316Multivariate Chain Rule (CaseNotePartial differentiation and total differentials 02-02-317Partial Derivative DefinitionNotePartial differentiation and total differentials 02-02-318Total DifferentialNotePartial differentiation and total differentials