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Tag: proximal

  • Riemannian Proximal Sampler for High-accuracy Sampling on Manifolds

    Riemannian Proximal Sampler for High-accuracy Sampling on Manifolds arXiv:2502.07265v1 Announce Type: new Abstract: We introduce the Riemannian Proximal Sampler, a method for sampling from densities defined on Riemannian manifolds. The performance of this sampler critically depends on two key oracles: the Manifold Brownian Increments (MBI) oracle and the Riemannian Heat-kernel (RHK) oracle. We establish high-accuracy…

  • Proximal Iteration for Nonlinear Adaptive Lasso

    Proximal Iteration for Nonlinear Adaptive Lasso arXiv:2412.05726v1 Announce Type: new Abstract: Augmenting a smooth cost function with an $ell_1$ penalty allows analysts to efficiently conduct estimation and variable selection simultaneously in sophisticated models and can be efficiently implemented using proximal gradient methods. However, one drawback of the $ell_1$ penalty is bias: nonzero parameters are underestimated…