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20202026
most citedOn Riemannian Optimization over Positive Definite Matrices with the Bures-Wasserstein Geometry

8 citations · 32 across the 42 of their papers we have counts for

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Showing 2022Show all

8 papers · 1 filter

math.OC2022★ 1 cited

Rieoptax: Riemannian Optimization in JAX

Saiteja Utpala, Andi Han, Pratik Jawanpuria +1

We present Rieoptax, an open source Python library for Riemannian optimization in JAX. We show that many differential geometric primitives, such as Riemannian exponential and logar…

cs.LG2022★ 2 cited

Generalized energy and gradient flow via graph framelets

Andi Han, Dai Shi, Zhiqi Shao +1

In this work, we provide a theoretical understanding of the framelet-based graph neural networks through the perspective of energy gradient flow. By viewing the framelet-based mode…

cs.LG2022

Generalized Laplacian Regularized Framelet Graph Neural Networks

Zhiqi Shao, Andi Han, Dai Shi +2

This paper introduces a novel Framelet Graph approach based on p-Laplacian GNN. The proposed two models, named p-Laplacian undecimated framelet graph convolution (pL-UFG) and gener…

math.OC2022

Riemannian accelerated gradient methods via extrapolation

Andi Han, Bamdev Mishra, Pratik Jawanpuria +1

In this paper, we propose a simple acceleration scheme for Riemannian gradient methods by extrapolating iterates on manifolds. We show when the iterates are generated from Riemanni…

math.OC2022

Differentially private Riemannian optimization

Andi Han, Bamdev Mishra, Pratik Jawanpuria +1

In this paper, we study the differentially private empirical risk minimization problem where the parameter is constrained to a Riemannian manifold. We introduce a framework of diff…

cs.LG2022★ 1 cited

A Simple Yet Effective SVD-GCN for Directed Graphs

Chunya Zou, Andi Han, Lequan Lin +1

In this paper, we propose a simple yet effective graph neural network for directed graphs (digraph) based on the classic Singular Value Decomposition (SVD), named SVD-GCN. The new…