Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions | Paper Citation Record

Observation 8a85c904-327d-409d-bee4-0b1edb80a792 · outbound

This paper cites Absil, R.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Absil, R

Reference 1

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This paper cites An extrinsic look at the riemannian hessian.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions An extrinsic look at the riemannian hessian

Reference 2

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This paper cites Projection-like retractions on matrix manifolds.SIAM Journal on Optimization, 22(1):135–158, 2012.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Projection-like retractions on matrix manifolds.SIAM Journal on Optimization, 22(1):135–158, 2012

Reference 3

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This paper cites Distributed coupled multiagent stochastic optimization.IEEE Transactions on Automatic Control, 65(1):175–190, 2019.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Distributed coupled multiagent stochastic optimization.IEEE Transactions on Automatic Control, 65(1):175–190, 2019

Reference 4

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This paper cites Stochastic gradient descent on Riemannian manifolds.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Stochastic gradient descent on Riemannian manifolds

Reference 5

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This paper cites Large-scale machine learning with stochastic gradient descent.SIAM review, 60(2):223–311, 2018.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Large-scale machine learning with stochastic gradient descent.SIAM review, 60(2):223–311, 2018

Reference 6

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This paper cites Global rates of convergence for nonconvex optimization on manifolds.IMA Journal of Numerical Analysis, 39(1):1–33, 2018.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Global rates of convergence for nonconvex optimization on manifolds.IMA Journal of Numerical Analysis, 39(1):1–33, 2018

Reference 7

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Observation 0c3912c7-f7ad-4cad-a25a-655d6f45bc74 · outbound

This paper cites Decentralized Riemannian Conjugate Gradient Method on the Stiefel Manifold.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Decentralized Riemannian Conjugate Gradient Method on the Stiefel Manifold

Reference 8

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Observation 6d797178-8448-4e5b-b3dd-d2b6598be58b · outbound

This paper cites Decentralized Riemannian gradient descent on the Stiefel manifold.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Decentralized Riemannian gradient descent on the Stiefel manifold

Reference 9

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This paper cites Shahram- pour.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Shahram- pour

Reference 10

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This paper cites Proximal gradient method for nonsmooth optimization over the stiefel manifold.SIAM Journal on Optimization, 30(1):210–239, 2020.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Proximal gradient method for nonsmooth optimization over the stiefel manifold.SIAM Journal on Optimization, 30(1):210–239, 2020

Reference 11

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This paper cites Clarke, R.J.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Clarke, R.J

Reference 12

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This paper cites Stochastic model-based min- imization of weakly convex functions.SIAM Journal on Optimization, 29(1):207–239, 2019.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Stochastic model-based min- imization of weakly convex functions.SIAM Journal on Optimization, 29(1):207–239, 2019

Reference 13

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This paper cites Stochastic optimization over proximally smooth sets.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Stochastic optimization over proximally smooth sets

Reference 15

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Observation 8a82f28a-dfdf-4eb6-871e-ae2b9326e0c2 · outbound

This paper cites Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds

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This paper cites Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization

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This paper cites Decentralized Douglas-Rachford splitting methods for smooth optimization over compact submanifolds.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Decentralized Douglas-Rachford splitting methods for smooth optimization over compact submanifolds

Reference 18

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This paper cites Efficiency of minimizing compositions of convex functions and smooth maps.Mathematical Programming, 178:503–558, 2019.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Efficiency of minimizing compositions of convex functions and smooth maps.Mathematical Programming, 178:503–558, 2019

Reference 19

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Observation 4d070db8-a92c-47d3-a4fa-47f74f1ba1c1 · outbound

This paper cites Hosseini, W.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Hosseini, W

Reference 20

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This paper cites Decentralized Riemannian natural gradient methods with Kronecker-product approximations.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Decentralized Riemannian natural gradient methods with Kronecker-product approximations

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This paper cites Communication-efficient distributed PCA by Riemannian optimization.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Communication-efficient distributed PCA by Riemannian optimization

Reference 22

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This paper cites Riemannian stochastic recursive gradient algorithm.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Riemannian stochastic recursive gradient algorithm

Reference 23

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This paper cites A decentralized algorithm for spectral analysis.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions A decentralized algorithm for spectral analysis

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This paper cites Springer, 2018.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Springer, 2018

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This paper cites Distributed variable sample-size stochastic optimization with fixed step-sizes.IEEE Transactions on Automatic Control, 67(10):5630–5637, 2022.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Distributed variable sample-size stochastic optimization with fixed step-sizes.IEEE Transactions on Automatic Control, 67(10):5630–5637, 2022

Reference 26

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This paper cites Weakly convex optimization over Stiefel man- ifold using Riemannian subgradient-type methods.SIAM Journal on Optimization, 31(3):1605–1634, 2021.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Weakly convex optimization over Stiefel man- ifold using Riemannian subgradient-type methods.SIAM Journal on Optimization, 31(3):1605–1634, 2021

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This paper cites Enhancing LLM complex reasoning capability through hyperbolic geometry.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Enhancing LLM complex reasoning capability through hyperbolic geometry

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This paper cites Robust stochastic approximation approach to stochastic pro- gramming.SIAM Journal on Optimization, 19(4):1574–1609, 2009.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Robust stochastic approximation approach to stochastic pro- gramming.SIAM Journal on Optimization, 19(4):1574–1609, 2009

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This paper cites Springer Science & Business Media, 2013.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Springer Science & Business Media, 2013

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This paper cites Tsitsiklis.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Tsitsiklis

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This paper cites Pillai, T.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Pillai, T

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This paper cites Distributed stochastic gradient tracking methods.Mathematical Programming, 187:409–457, 2021.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Distributed stochastic gradient tracking methods.Mathematical Programming, 187:409–457, 2021

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This paper cites A stochastic approximation method.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions A stochastic approximation method

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Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Unresolved cited work

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This paper cites Consensus optimization on manifolds.SIAM Journal on Control and Optimization, 48(1):56–76, 2009.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Consensus optimization on manifolds.SIAM Journal on Control and Optimization, 48(1):56–76, 2009

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This paper cites Riemannian stochastic variance reduced gradient algorithm with retraction and vector transport.SIAM Journal on Optimization, 29(2):1444–1472, 2019.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Riemannian stochastic variance reduced gradient algorithm with retraction and vector transport.SIAM Journal on Optimization, 29(2):1444–1472, 2019

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This paper cites Adaptation, learning, and optimization over networks.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Adaptation, learning, and optimization over networks

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This paper cites A proximal gradient algorithm for decentralized composite optimization.IEEE Transactions on Signal Processing, 63(22):6013–6023, 2015.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions A proximal gradient algorithm for decentralized composite optimization.IEEE Transactions on Signal Processing, 63(22):6013–6023, 2015

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This paper cites Riemannian optimization with a preconditioning scheme on the generalized stiefel manifold.Journal of Computational and Applied Mathematics, 423:114953, 2023.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Riemannian optimization with a preconditioning scheme on the generalized stiefel manifold.Journal of Computational and Applied Mathematics, 423:114953, 2023

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This paper cites Distributed asynchronous con- strained stochastic optimization.IEEE Journal of Selected Topics in Signal Processing, 5(4):772–790, 2011.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Distributed asynchronous con- strained stochastic optimization.IEEE Journal of Selected Topics in Signal Processing, 5(4):772–790, 2011

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Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Unresolved cited work

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This paper cites Strong and weak convexity of sets and functions.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Strong and weak convexity of sets and functions

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This paper cites On orthogonality and learning recurrent networks with long term de- pendencies.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions On orthogonality and learning recurrent networks with long term de- pendencies

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This paper cites Riemannian stochastic proximal gradient methods for nonsmooth optimization over the stiefel manifold.Journal of Machine Learning Research, 23(106):1–33, 2022.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Riemannian stochastic proximal gradient methods for nonsmooth optimization over the stiefel manifold.Journal of Machine Learning Research, 23(106):1–33, 2022

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This paper cites Decentralized Weakly Convex Optimization Over the Stiefel Manifold.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Decentralized Weakly Convex Optimization Over the Stiefel Manifold

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This paper cites A Decentralized Proximal Gradient Tracking Algorithm for Composite Optimization on Riemannian Manifolds.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions A Decentralized Proximal Gradient Tracking Algorithm for Composite Optimization on Riemannian Manifolds

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Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Decentralized optimization over the Stiefel manifold by an approximate augmented lagrangian function.IEEE Transactions on Signal Processing, 70:3029–3041, 2022

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This paper cites A Variance-Reduced Stochastic Gradient Tracking Algorithm for Decentralized Optimization with Orthogonality Constraints.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions A Variance-Reduced Stochastic Gradient Tracking Algorithm for Decentralized Optimization with Orthogonality Constraints

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This paper cites A feasible method for optimization with orthogonality constraints.Mathematical Programming, 142(1):397–434, 2013.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions A feasible method for optimization with orthogonality constraints.Mathematical Programming, 142(1):397–434, 2013

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This paper cites Optimality conditions for the nonlinear programming problems on Riemannian manifolds.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Optimality conditions for the nonlinear programming problems on Riemannian manifolds

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This paper cites Reddi, and Suvrit Sra.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Reddi, and Suvrit Sra

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This paper cites On the global geometry of sphere-constrained sparse blind deconvolution.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions On the global geometry of sphere-constrained sparse blind deconvolution

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This paper cites Distributed Riemannian Stochastic Gradient Tracking Algorithm on the Stiefel Manifold.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Distributed Riemannian Stochastic Gradient Tracking Algorithm on the Stiefel Manifold

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This paper cites Proof of Lemma 5: For eachi, there exists a unique geodesicγ i : [0,1]7→ M connectingX i and ˆX.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Proof of Lemma 5: For eachi, there exists a unique geodesicγ i : [0,1]7→ M connectingX i and ˆX

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Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Unresolved cited work

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Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Unresolved cited work

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