mlsanityData to 14 Oct 2026

McTorch, a manifold optimization library for deep learning

arXiv 1810.01811 ↗First posted 3 Oct 2018stat.ML cs.AI cs.LGcited by 16

Not on the map. Why?

Abstract (arXiv)

In this paper, we introduce McTorch, a manifold optimization library for deep learning that extends PyTorch. It aims to lower the barrier for users wishing to use manifold constraints in deep learning applications, i.e., when the parameters are constrained to lie on a manifold. Such constraints include the popular orthogonality and rank constraints, and have been recently used in a number of applications in deep learning. McTorch follows PyTorch's architecture and decouples manifold definitions and optimizers, i.e., once a new manifold is added it can be used with any existing optimizer and vice-versa. McTorch is available at https://github.com/mctorch .

Key facts. Cited by 16 papers in the map (data through 14 Oct 2026). First posted on arXiv 3 Oct 2018.

Builds on

No reference list yet.

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2021: 6; 2022: 4; 2023: 1; 2024: 2; 2025: 2; 2026: 1.

16 papers.

Sort:

  1. 2021Tangent Space Backpropagation for 3D Transformation Groupscited by 40
  2. 2021On Riemannian Optimization over Positive Definite Matrices with the Bures-Wasserstein Geometrycited by 32
  3. 2023A Survey of Geometric Optimization for Deep Learning: From Euclidean Space to Riemannian Manifoldcited by 21
  4. 2024Symmetry Discovery Beyond Affine Transformationscited by 15
  5. 2022Riemannian Hamiltonian methods for min-max optimization on manifoldscited by 12
  6. 2025SECA: Semantically Equivalent and Coherent Attacks for Eliciting LLM Hallucinationscited by 9
  7. 2021Manifold optimization for non-linear optimal transport problemscited by 8
  8. 2022NCVX: A General-Purpose Optimization Solver for Constrained Machine and Deep Learningcited by 7
  9. 2021tensorflow-riemopt: A Library for Optimization on Riemannian Manifoldscited by 5
  10. 2021Coordinate descent on the orthogonal group for recurrent neural network trainingcited by 5
  11. 2021NCVX: A User-Friendly and Scalable Package for Nonconvex Optimization in Machine Learningcited by 5
  12. 2025Riemannian Optimization on Relaxed Indicator Matrix Manifoldcited by 5
4 more
  1. 2024MCNC: Manifold-Constrained Reparameterization for Neural Compressioncited by 4
  2. 2026Parallelised Differentiable Straightest Geodesics for 3D Meshescited by 2
  3. 2022Rieoptax: Riemannian Optimization in JAXcited by 1
  4. 2022TAOTF: A Two-stage Approximately Orthogonal Training Framework in Deep Neural Networkscited by 0