Pith. sign in

REVIEW 8 cited by

Geoopt: Riemannian Optimization in PyTorch

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2005.02819 v5 pith:S3524RFC submitted 2020-05-06 cs.CG cs.LG

Geoopt: Riemannian Optimization in PyTorch

classification cs.CG cs.LG
keywords geooptoptimizationalgorithmsriemannianpytorchadaptiveallowallows
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
Share X Bluesky LinkedIn Reddit HN
read the original abstract

Geoopt is a research-oriented modular open-source package for Riemannian Optimization in PyTorch. The core of Geoopt is a standard Manifold interface that allows for the generic implementation of optimization algorithms. Geoopt supports basic Riemannian SGD as well as adaptive optimization algorithms. Geoopt also provides several algorithms and arithmetic methods for supported manifolds, which allow composing geometry-aware neural network layers that can be integrated with existing models.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. REALISTA: Realistic Latent Adversarial Attacks that Elicit LLM Hallucinations

    cs.CL 2026-05 unverdicted novelty 8.0

    REALISTA optimizes continuous combinations of valid editing directions in latent space to produce realistic adversarial prompts that elicit hallucinations more effectively than prior methods, including on large reason...

  2. Learning Hamiltonian Dynamics at Scale: A Differential-Geometric Approach

    cs.LG 2025-09 conditional novelty 7.0

    A reduced-order Hamiltonian neural network (RO-HNN) learns a symplectic low-dimensional embedding and the dynamics on it, enabling stable long-term prediction for high-dimensional Hamiltonian systems up to 600 DoF.

  3. ManifoldFlow: SPD-Relaxed Stiefel Layers with Learnable Singular Spectrum

    cs.LG 2026-07 conditional novelty 6.0

    Learning a clipped SPD spectrum on top of a Stiefel basis improves fixed-spectrum Stiefel layers when an orthonormal prior is useful, especially in recurrent LM projections.

  4. Towards Robust EEG Decoding Based on Riemannian Self-Attention

    cs.LG 2026-06 unverdicted novelty 6.0

    A Riemannian self-attention model based on the Bures-Wasserstein metric and its learnable generalized version is claimed to improve robustness of EEG decoding on three benchmark datasets.

  5. REALISTA: Realistic Latent Adversarial Attacks that Elicit LLM Hallucinations

    cs.CL 2026-05 unverdicted novelty 6.0

    REALISTA generates semantically coherent adversarial prompts via latent-space optimization over input-dependent editing directions, achieving stronger hallucination elicitation than prior realistic attacks on open-sou...

  6. A Fourier-Space Approach to Physics-Informed Magnetization Reconstruction from Nitrogen-Vacancy Measurements

    cond-mat.mes-hall 2026-02 conditional novelty 6.0

    A micromagnetic-energy-regularized Fourier-space inversion simultaneously reconstructs magnetization textures and the unknown NV sensor-sample distance (~80 nm) from stray-field maps.

  7. Learning Hamiltonian Dynamics at Scale: A Differential-Geometric Approach

    cs.LG 2025-09 unverdicted novelty 6.0

    RO-HNN combines a geometrically-constrained symplectic autoencoder with a geometric Hamiltonian neural network to enable physically consistent predictions on high-dimensional systems via model-order reduction.

  8. Foundations of Riemannian Geometry for Riemannian Optimization: A Monograph with Detailed Derivations

    math.DG 2026-05 unverdicted novelty 2.0

    The monograph organizes and derives classical Riemannian geometry structures explicitly in coordinate and matrix form for direct use in optimization algorithms on nonlinear manifolds.