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https://www.unsw.edu.au/science/our-schools/maths/engage-with-us/seminars/2012/some-aspect-analysis-riemannian-manifolds Some aspect of analysis on Riemannian manifolds | School of Mathematics and Statistics riemannian manifolds aspect analysis https://arxiv.org/abs/1912.04179 [1912.04179] Gauge theory on noncommutative Riemannian principal bundles Abstract page for arXiv paper 1912.04179: Gauge theory on noncommutative Riemannian principal bundles gauge theory 1912 04179 noncommutative riemannian https://arxiv.org/abs/1806.04664 [1806.04664] Min-max minimal disks with free boundary in Riemannian manifolds Abstract page for arXiv paper 1806.04664: Min-max minimal disks with free boundary in Riemannian manifolds min max https://openreview.net/forum?id=fPwWfoyxL1 Riemannian Accelerated Zeroth-order Algorithm: Improved Robustness and Lower Query Complexity |... Optimization problems with access to only zeroth-order information of the objective function on Riemannian manifolds arise in various applications, spanning... zeroth order riemannian accelerated algorithm https://www.mdpi.com/2075-1680/12/5/432 On an Indefinite Metric on a Four-Dimensional Riemannian Manifold Our research focuses on the tangent space of a point on a four-dimensional Riemannian manifold. Besides having a positive definite metric, the manifold is... four dimensional indefinite metric riemannian manifold https://openreview.net/forum?id=EDVIHPZhFo Nonconvex-nonconcave min-max optimization on Riemannian manifolds | OpenReview This work studies nonconvex-nonconcave min-max problems on Riemannian manifolds. We first characterize the local optimality of nonconvex-nonconcave problems on... min max optimization riemannian manifolds nonconvex openreview https://arxiv.org/abs/2010.03480 [2010.03480] Integrability of the sub-Riemannian mean curvature at degenerate characteristic points... Abstract page for arXiv paper 2010.03480: Integrability of the sub-Riemannian mean curvature at degenerate characteristic points in the Heisenberg group https://openreview.net/forum?id=1jRxg6oUaG Sufficient conditions for non-asymptotic convergence of Riemannian optimization methods | OpenReview Motivated by energy based analyses for descent methods in the Euclidean setting, we investigate a generalisation of such analyses for descent methods over... sufficient conditions non asymptotic https://openreview.net/forum?id=VKt0K3iOmO Spiking Graph Neural Network on Riemannian Manifolds | OpenReview Graph neural networks (GNNs) have become the dominant solution for learning on graphs, the typical non-Euclidean structures. Conventional GNNs, constructed... graph neural network riemannian manifolds spiking openreview https://arxiv.org/abs/2406.04564v1 [2406.04564v1] Smoothing $L^\infty$ Riemannian metrics with nonnegative scalar curvature outside of... Abstract page for arXiv paper 2406.04564v1: Smoothing $L^\infty$ Riemannian metrics with nonnegative scalar curvature outside of a singular set https://www.unsw.edu.au/science/our-schools/maths/engage-with-us/seminars/2018/mathematical-appearances-sub-riemannian-geometries Mathematical appearances of sub-Riemannian geometries | School of Mathematics and Statistics sub riemannian mathematical appearances geometries school https://adelaide.edu.au/study/courses/mathx-408/ Riemannian Geometry | Adelaide University riemannian geometry adelaide university https://arxiv.org/abs/1209.0430 [1209.0430] Fixed-rank matrix factorizations and Riemannian low-rank optimization Abstract page for arXiv paper 1209.0430: Fixed-rank matrix factorizations and Riemannian low-rank optimization rank matrix 1209 0430 fixed riemannian https://jmlr.org/papers/v22/20-033.html On the Riemannian Search for Eigenvector Computation on the search for riemannian eigenvector computation https://www.mdpi.com/2073-8994/14/2/257 Virtual Attractive-Repulsive Potentials Control Theory: A Review and an Extension to Riemannian... The present paper is concerned with an instance of automatic control for autonomous vehicles based on the theory of virtual attractive-repulsive potentials... https://arxiv.org/abs/2408.16416 [2408.16416] Preconditioned Low-Rank Riemannian Optimization for Symmetric Positive Definite Linear... Abstract page for arXiv paper 2408.16416: Preconditioned Low-Rank Riemannian Optimization for Symmetric Positive Definite Linear Matrix Equations symmetric positive definite https://jmlr.org/papers/v24/21-1308.html Online Optimization over Riemannian Manifolds online optimization riemannian manifolds https://jmlr.org/papers/v26/24-1989.html A Decentralized Proximal Gradient Tracking Algorithm for Composite Optimization on Riemannian... proximal gradient decentralized tracking https://arxiv.org/abs/2506.06160 [2506.06160] Acceleration via silver step-size on Riemannian manifolds with applications to... Abstract page for arXiv paper 2506.06160: Acceleration via silver step-size on Riemannian manifolds with applications to Wasserstein space https://arxiv.org/abs/2406.06605v1 [2406.06605v1] Unification of the Fundamental Forces in Higher-Order Riemannian Geometry Abstract page for arXiv paper 2406.06605v1: Unification of the Fundamental Forces in Higher-Order Riemannian Geometry of the fundamental forces https://arxiv.org/abs/2501.08872 [2501.08872] Riemannian quantum circuit optimization based on matrix product operators Abstract page for arXiv paper 2501.08872: Riemannian quantum circuit optimization based on matrix product operators quantum circuit based on matrix product 2501 08872 https://arxiv.org/abs/1910.13132 [1910.13132] On sub-Riemannian geodesic curvature in dimension three Abstract page for arXiv paper 1910.13132: On sub-Riemannian geodesic curvature in dimension three sub riemannian geodesic curvature 1910 13132 dimension https://arxiv.org/abs/1509.05536 [1509.05536] Efficient Clustering on Riemannian Manifolds: A Kernelised Random Projection Approach Abstract page for arXiv paper 1509.05536: Efficient Clustering on Riemannian Manifolds: A Kernelised Random Projection Approach riemannian manifolds https://arxiv.org/abs/math/0004056 [math/0004056] Spinor Representations of Surfaces in 4-Dimensional Pseudo-Riemannian Manifolds Abstract page for arXiv paper math/0004056: Spinor Representations of Surfaces in 4-Dimensional Pseudo-Riemannian Manifolds https://slides.com/victorsp/deck MLRG - Riemannian opt A presentation created with Slides. riemannian opt https://arxiv.org/abs/1711.03211 [1711.03211] Non-Riemannian Einstein-Randers metrics on $E_6/A_4$ and $E_6/A_1$ Abstract page for arXiv paper 1711.03211: Non-Riemannian Einstein-Randers metrics on $E_6/A_4$ and $E_6/A_1$ https://github.com/h2metrics/h2metrics GitHub - h2metrics/h2metrics: Tools for Riemannian shape analysis with second order Sobolev... Tools for Riemannian shape analysis with second order Sobolev metrics. - h2metrics/h2metrics shape analysis second order github tools riemannian https://arxiv.org/abs/2409.08920 [2409.08920] A Sharp Higher Order Sobolev Inequality on Riemannian Manifolds Abstract page for arXiv paper 2409.08920: A Sharp Higher Order Sobolev Inequality on Riemannian Manifolds a sharp sobolev inequality 2409 08920 higher https://www.scirp.org/reference/ReferencesPapers?ReferenceID=2411863 Kreyszig, E. (1975) Introduction to Differential Geometry and Riemannian Geometry. University of... Kreyszig, E. (1975) Introduction to Differential Geometry and Riemannian Geometry. University of Toronto Press, Toronto. differential geometry kreyszig 1975 introduction https://openreview.net/forum?id=KeIuNChob1H Pseudo-Riemannian Graph Convolutional Networks | OpenReview A novel graph convolution network in pseudo-Riemannian manifold. pseudo riemannian graph networks openreview https://www.kth.se/math/kalender/samuel-lockman-classification-of-semi-riemannian-spin-c-manifolds-carrying-generalised-killing-spinors-1.1333768?date=2024-05-02&orgdate=2024-02-13&length=1&orglength=0 Samuel Lockman: Classification of semi-Riemannian Spin^c Manifolds carrying Generalised Killing... https://www.muni.cz/vyzkum/publikace/2470142 Holography of Higher Codimension Submanifolds: Riemannian and Conformal | Masarykova univerzita |... holography higher codimension riemannian conformal https://openreview.net/forum?id=tmer8WAEzV Sampling with Riemannian Hamiltonian Monte Carlo in a Constrained Space | OpenReview We demonstrate for the first time that ill-conditioned, non-smooth, constrained distributions in very high dimension, can be sampled efficiently in practice,... hamiltonian monte carlo sampling riemannian https://arxiv.org/abs/0805.3497 [0805.3497] Riemannian manifolds with geometric structures Abstract page for arXiv paper 0805.3497: Riemannian manifolds with geometric structures riemannian manifolds 0805 3497 geometric structures https://openreview.net/forum?id=21uqYo8soks An Online Riemannian PCA for Stochastic Canonical Correlation Analysis | OpenReview We present an efficient stochastic algorithm (RSG+) for canonical correlation analysis (CCA) using a reparametrization of the projection matrices. We show how... canonical correlation online riemannian pca stochastic https://arxiv.org/abs/2008.07041 [2008.07041] An ODE reduction method for the semi-Riemannian Yamabe problem on space forms Abstract page for arXiv paper 2008.07041: An ODE reduction method for the semi-Riemannian Yamabe problem on space forms https://openreview.net/forum?id=7KtFQnF368 Convergence and Complexity Guarantee for Inexact First-order Riemannian Optimization Algorithms |... We analyze inexact Riemannian gradient descent (RGD) where Riemannian gradients and retractions are inexactly (and cheaply) computed. Our focus is on... first order convergence complexity guarantee https://deepai.org/publication/riemannian-diffusion-models Riemannian Diffusion Models | DeepAI Aug 16, 2022 - 08/16/22 - Diffusion models are recent state-of-the-art methods for image generation and likelihood estimation. In this work, we generalize c... diffusion models riemannian deepai https://arxiv.org/abs/2510.17772 [2510.17772] Atlas-based Manifold Representations for Interpretable Riemannian Machine Learning Abstract page for arXiv paper 2510.17772: Atlas-based Manifold Representations for Interpretable Riemannian Machine Learning 2510 atlas based manifold https://www.uni-paderborn.de/en/project/359 Project - Spectral correspondences for negatively curved Riemannian locally symmetric spaces (Uni... locally symmetric project spectral correspondences negatively https://deepai.org/publication/exploiting-low-rank-tensor-train-deep-neural-networks-based-on-riemannian-gradient-descent-with-illustrations-of-speech-processing Exploiting Low-Rank Tensor-Train Deep Neural Networks Based on Riemannian Gradient Descent With... Mar 11, 2022 - 03/11/22 - This work focuses on designing low complexity hybrid tensor networks by considering trade-offs between the model complexity and pr... https://github.com/spbu-math-cs/Riemannian-Gaussian-Processes GitHub - spbu-math-cs/Riemannian-Gaussian-Processes: Supplementary code for the NeurIPS 2020 paper... Supplementary code for the NeurIPS 2020 paper "Matern Gaussian processes on Riemannian manifolds". - spbu-math-cs/Riemannian-Gaussian-Processes https://arxiv.org/abs/2205.11642 [2205.11642] Riemannian Penrose inequality via Nonlinear Potential Theory Abstract page for arXiv paper 2205.11642: Riemannian Penrose inequality via Nonlinear Potential Theory riemannian penrose inequality 2205 11642 via nonlinear https://arxiv.org/abs/2402.12464 [2402.12464] An Adaptive Cubic Regularization quasi-Newton Method on Riemannian Manifolds Abstract page for arXiv paper 2402.12464: An Adaptive Cubic Regularization quasi-Newton Method on Riemannian Manifolds quasi newton method https://openreview.net/forum?id=kzXRQRnG4gwe Accelerated Riemannian Optimization: Handling Constraints to Bound Geometric Penalties | OpenReview We propose accelerated first-order methods for Riemannian optimization in Hadamard manifolds by using a proximal method that we design. We can work without... accelerated riemannian optimization handling constraints https://openreview.net/forum?id=r1eiqi09K7&referrer=%5Bthe%20profile%20of%20Gary%20B%C3%A9cigneul%5D(%2Fprofile%3Fid%3D~Gary_B%C3%A9cigneul1) Riemannian Adaptive Optimization Methods | OpenReview Adapting Adam, Amsgrad, Adagrad to Riemannian manifolds. adaptive optimization riemannian methods openreview https://arxiv.org/abs/2504.05412 [2504.05412] Stability of optimal transport maps on Riemannian manifolds Abstract page for arXiv paper 2504.05412: Stability of optimal transport maps on Riemannian manifolds optimal transport 2504 05412 stability maps https://openreview.net/forum?id=FwVmM8Zol_8 Vector-valued Gaussian Processes on Riemannian Manifolds via Gauge Independent Projected Kernels |... Vector-valued Gaussian Processes on Riemannian Manifolds via Gauge Independant Projected Kernels gaussian processes riemannian manifolds https://arxiv.org/abs/1403.4983 [1403.4983] An approach to spectral problems on Riemannian manifolds Abstract page for arXiv paper 1403.4983: An approach to spectral problems on Riemannian manifolds 1403 4983 approach spectral problems https://arxiv.org/abs/1712.05537 [1712.05537] Quantum Abelian Yang-Mills Theory on Riemannian Manifolds with Boundary Abstract page for arXiv paper 1712.05537: Quantum Abelian Yang-Mills Theory on Riemannian Manifolds with Boundary yang mills theory https://arxiv.org/abs/2101.10940 [2101.10940] Nonminimality of spirals in sub-Riemannian manifolds Abstract page for arXiv paper 2101.10940: Nonminimality of spirals in sub-Riemannian manifolds sub riemannian 2101 10940 spirals manifolds https://www.springernature.com/cn/librarians/the-link/ebooks-blogpost/proud-to-publish-quantum-riemannian-geometry/18928520 Proud to Publish: Quantum Riemannian Geometry | For Librarians | Springer Nature In our Proud to Publish series we talk to our book editors about the books they were most proud to publish, commission or work on in the past year. riemannian geometry for librarians proud publish quantum https://www.helsinki.fi/en/researchgroups/inverse-problems/seminars/seeing-inside-the-earth-with-riemannian-and-finsler-geometry Seeing inside the Earth with Riemannian and Finsler geometry. | Inverse Problems | University of... Teemu Saksala (Rice University) 28.08.2018, Exactum B120, 2pm-4pm https://openreview.net/forum?id=vuPMXg1FDT Riemannian Generative Decoder | OpenReview Euclidean representations distort data with intrinsic non-Euclidean structure. While Riemannian representation learning offers a solution by embedding data... riemannian generative decoder openreview https://arxiv.org/abs/1701.06514 [1701.06514] Conformal actions of real-rank 1 simple Lie groups on pseudo-Riemannian manifolds Abstract page for arXiv paper 1701.06514: Conformal actions of real-rank 1 simple Lie groups on pseudo-Riemannian manifolds https://arxiv.org/abs/0809.2618 [0809.2618] Sub-Riemannian calculus and monotonicity of the perimeter for graphical strips Abstract page for arXiv paper 0809.2618: Sub-Riemannian calculus and monotonicity of the perimeter for graphical strips https://pmc.ncbi.nlm.nih.gov/articles/PMC12523035/ Riemannian geometry boosts functional near-infrared spectroscopy-based brain-state classification... Functional near-infrared spectroscopy (fNIRS) has recently gained momentum as a reliable and accurate tool for assessing brain states based on the vascular... near infrared spectroscopy riemannian geometry boosts functional https://www.sciencenews.org/archive/electromagnetism-explained-riemannian-geometry Electromagnetism Explained by Riemannian Geometry | Science News riemannian geometry electromagnetism explained science news https://arxiv.org/abs/2509.21675 [2509.21675] Scalable Second-order Riemannian Optimization for $K$-means Clustering Abstract page for arXiv paper 2509.21675: Scalable Second-order Riemannian Optimization for $K$-means Clustering second order k means 2509 scalable https://www.scirp.org/journal/articles?searchcode=Riemannian+Geometry&searchfield=keyword&page=1 Riemannian Geometry - Articles - Scientific Research Publishing riemannian geometry scientific research articles publishing https://sites.google.com/view/a-fri-ka-s-riemannian-topology/home A-Fri-Ka-S Riemannian Topology Research Seminar Program May 15 - 16, 2023 ka s fri riemannian topology research https://openreview.net/forum?id=D8WJ7gQEG1 Sion's Minimax Theorem in Geodesic Metric Spaces and a Riemannian Extragradient Algorithm |... Deciding whether saddle points exist or are approximable for nonconvex-nonconcave problems is usually intractable. We take a step toward understanding a broad... sion s minimax theorem https://deepai.org/publication/learning-harmonic-molecular-representations-on-riemannian-manifold Learning Harmonic Molecular Representations on Riemannian Manifold | DeepAI Mar 27, 2023 - 03/27/23 - Molecular representation learning plays a crucial role in AI-assisted drug discovery research. Encoding 3D molecular structures th... riemannian manifold learning harmonic molecular representations https://openreview.net/forum?id=y8y6GJUL01H No-regret Online Learning over Riemannian Manifolds | OpenReview We study online convex optimization over Riemannian manifolds, and establish tight regret bounds that match their Euclidean counterparts. no regret online learning riemannian manifolds openreview https://arxiv.org/abs/2406.04564v2 [2406.04564v2] Smoothing $L^\infty$ Riemannian metrics with nonnegative scalar curvature outside of... Abstract page for arXiv paper 2406.04564v2: Smoothing $L^\infty$ Riemannian metrics with nonnegative scalar curvature outside of a singular set https://openreview.net/forum?id=qZpOqPbwhy Learning Riemannian metric for disease progression modeling | OpenReview We propose a method to learn a Riemannian metric in the observation space to estimate disease trajectories from patient data. It allows to build interpretable... riemannian metric disease progression learning modeling openreview https://arxiv.org/abs/astro-ph/9905252 [astro-ph/9905252] On the area distance and the Riemannian geometry Abstract page for arXiv paper astro-ph/9905252: On the area distance and the Riemannian geometry on the astro ph area distance https://openreview.net/forum?id=BaVIDhh7bj How does training shape the Riemannian geometry of neural network representations? | OpenReview In machine learning, there is a long history of trying to build neural networks that can learn from fewer example data by baking in strong geometric priors.... riemannian geometry https://deepai.org/publication/a-riemannian-accelerated-proximal-extragradient-framework-and-its-implications A Riemannian Accelerated Proximal Extragradient Framework and its Implications | DeepAI Nov 4, 2021 - 11/04/21 - The study of accelerated gradient methods in Riemannian optimization has recently witnessed notable progress. However, in contrast... riemannian accelerated proximal framework implications https://openreview.net/forum?id=strvrjSi3C Riemannian SAM: Sharpness-Aware Minimization on Riemannian Manifolds | OpenReview Contemporary advances in the field of deep learning have embarked upon an exploration of the underlying geometric properties of data, thus encouraging the... sharpness aware minimization riemannian sam manifolds openreview https://www.preprints.org/manuscript/202504.1344 Relic Gravitational Waves in the Noncommutative Foliated Riemannian Quantum Gravity[v1] |... We present a study of relic gravitational waves based on a foliated gauge field theory defined over a spacetime endowed with a noncommutative... relic gravitational waves in the quantum gravity https://arxiv.org/abs/0804.1695 [0804.1695] Sub-Riemannian geodesics on the 3-D sphere Abstract page for arXiv paper 0804.1695: Sub-Riemannian geodesics on the 3-D sphere sub riemannian on the 3 d 0804 1695 https://www.springernature.com/jp/librarians/the-link/ebooks-blogpost/proud-to-publish-quantum-riemannian-geometry/18928520 Proud to Publish: Quantum Riemannian Geometry | For Librarians | Springer Nature In our Proud to Publish series we talk to our book editors about the books they were most proud to publish, commission or work on in the past year. riemannian geometry for librarians proud publish quantum https://jmlr.org/papers/v27/24-0020.html Convergence and complexity of block majorization-minimization for constrained block-Riemannian... majorization minimization convergence complexity block constrained https://arxiv.org/abs/2406.04564 [2406.04564] Smoothing $L^\infty$ Riemannian metrics with nonnegative scalar curvature outside of a... Abstract page for arXiv paper 2406.04564: Smoothing $L^\infty$ Riemannian metrics with nonnegative scalar curvature outside of a singular set https://openreview.net/forum?id=rvMkFc9QqM A Geometric Insight into Equivariant Message Passing Neural Networks on Riemannian Manifolds |... This work proposes a geometric insight into equivariant message passing on Riemannian manifolds. As previously proposed, numerical features on Riemannian... insight into message passing https://sites.google.com/view/rizziluca/sub-riemannian-mailing-list Luca Rizzi's Homepage - Sub-Riemannian mailing list A malings list for the sub-Riemannian community at large, with more than 200 subscribers. Everybody is welcome to use it to announce workshops, conferences and... sub riemannian luca rizzi homepage mailing https://arxiv.org/abs/2109.10732 [2109.10732] The Fractional Porous Medium Equation on noncompact Riemannian manifolds Abstract page for arXiv paper 2109.10732: The Fractional Porous Medium Equation on noncompact Riemannian manifolds porous medium equation 2109 10732 fractional https://deepai.org/publication/a-riemannian-primal-dual-algorithm-based-on-proximal-operator-and-its-application-in-metric-learning A Riemannian Primal-dual Algorithm Based on Proximal Operator and its Application in Metric... May 19, 2020 - 05/19/20 - In this paper, we consider optimizing a smooth, convex, lower semicontinuous function in Riemannian space with constraints. To sol... https://arxiv.org/abs/1706.07308 [1706.07308] Mass Transportation on sub-Riemannian structures of rank two in dimension four Abstract page for arXiv paper 1706.07308: Mass Transportation on sub-Riemannian structures of rank two in dimension four