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Contact Dynamics: LCP
Deriving a linear complementarity formulation for frictional contact dynamics
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Score Ascent View of MPPI
Deriving the MPPI update as score ascent on a noised target distribution
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Natural Gradient View of Sampling-Based Optimization
A direct natural-gradient derivation of sampling distribution updates
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Sampling-Based Optimization (MPPI)
A short introduction to exponential weighted sampling updates
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Parallel Methods for Solving Block Banded Systems
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Linear Quadratic Problem
Solve LQPs using the Schur complement
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ADMM
ADMM for quadratic programming
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Augmented Lagrangian Methods
An introduction to Augmented Lagrangian Methods for constrained optimization
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Contact Dynamics: CCP
Cone Complementarity Problem formulation for contact modeling
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Interior Point Methods
Primal-dual interior point methods for quadratic programming