mlsanityData to 14 Oct 2026

MamTiff-CAD: Multi-Scale Latent Diffusion with Mamba+ for Complex Parametric Sequence

arXiv 2511.17647 ↗First posted 20 Nov 2025cs.LG cs.AIcited by 1

On the map: Diffusion models → 3D, point cloud and scene generation

also in 1 more
Abstract (arXiv)

Parametric Computer-Aided Design (CAD) is crucial in industrial applications, yet existing approaches often struggle to generate long sequence parametric commands due to complex CAD models' geometric and topological constraints. To address this challenge, we propose MamTiff-CAD, a novel CAD parametric command sequences generation framework that leverages a Transformer-based diffusion model for multi-scale latent representations. Specifically, we design a novel autoencoder that integrates Mamba+ and Transformer, to transfer parameterized CAD sequences into latent representations. The Mamba+ block incorporates a forget gate mechanism to effectively capture long-range dependencies. The non-autoregressive Transformer decoder reconstructs the latent representations. A diffusion model based on multi-scale Transformer is then trained on these latent embeddings to learn the distribution of long sequence commands. In addition, we also construct a dataset that consists of long parametric sequences, which is up to 256 commands for a single CAD model. Experiments demonstrate that MamTiff-CAD achieves state-of-the-art performance on both reconstruction and generation tasks, confirming its effectiveness for long sequence (60-256) CAD model generation.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Placed in 3D, point cloud and scene generation, one of 14 directions in Diffusion models. Builds on 41 of its 51 references that are in the map. First posted on arXiv 20 Nov 2025.

Builds on

41 of 51 references.

Closest ancestors · 9

Same direction, newest first

  1. 2024BrepGen: A B-rep Generative Diffusion Model with Structured Latent Geometry28 Jan
  2. 2023PolyDiff: Generating 3D Polygonal Meshes with Diffusion Models18 Dec
  3. 2023DiT-3D: Exploring Plain Diffusion Transformers for 3D Shape Generation4 Jul
  4. 2023Controllable Mesh Generation Through Sparse Latent Point Diffusion Models14 Mar
  5. 2023GECCO: Geometrically-Conditioned Point Diffusion Models10 Mar
  6. 20233DGen: Triplane Latent Diffusion for Textured Mesh Generation9 Mar
  7. 20233DShape2VecSet: A 3D Shape Representation for Neural Fields and Generative Diffusion Models26 Jan
  8. 2022LION: Latent Point Diffusion Models for 3D Shape Generation12 Oct
  9. 2021Diffusion Probabilistic Models for 3D Point Cloud Generation2 Mar

Other references · 32

  1. 2017Attention Is All You Needcited by 60,361
  2. 2020Denoising Diffusion Probabilistic Modelscited by 21,076
  3. 2021Swin Transformer: Hierarchical Vision Transformer using Shifted Windowscited by 12,139
  4. 2023Mamba: Linear-Time Sequence Modeling with Selective State Spacescited by 4,718
  5. 2017Neural Discrete Representation Learningcited by 4,712
  6. 2020Longformer: The Long-Document Transformercited by 3,413
  7. 2017Decoupled Weight Decay Regularizationcited by 1,831
  8. 2020Reformer: The Efficient Transformercited by 1,668
  9. 2020Linformer: Self-Attention with Linear Complexitycited by 1,474
  10. 2024VMamba: Visual State Space Modelcited by 969
  11. 20213D Shape Generation and Completion through Point-Voxel Diffusioncited by 516
  12. 2024InstantMesh: Efficient 3D Mesh Generation from a Single Image with Sparse-view Large Reconstruction Modelscited by 433
20 more
  1. 2018ABC: A Big CAD Model Dataset For Geometric Deep Learningcited by 341
  2. 2024VideoMamba: State Space Model for Efficient Video Understandingcited by 328
  3. 2021DeepCAD: A Deep Generative Network for Computer-Aided Design Modelscited by 271
  4. 2023MeshDiffusion: Score-based Generative 3D Mesh Modelingcited by 199
  5. 2022Diffusion-SDF: Text-to-Shape via Voxelized Diffusioncited by 128
  6. 2022SkexGen: Autoregressive Generation of CAD Construction Sequences with Disentangled Codebookscited by 125
  7. 2023Hierarchical Neural Coding for Controllable CAD Model Generationcited by 86
  8. 2021Computer-Aided Design as Languagecited by 82
  9. 2024CAD-MLLM: Unifying Multimodality-Conditioned CAD Generation With MLLMcited by 81
  10. 2024Point Mamba: A Novel Point Cloud Backbone Based on State Space Model with Octree-Based Ordering Strategycited by 73
  11. 2024An Investigation of Incorporating Mamba for Speech Enhancementcited by 62
  12. 2024Vision Mamba: A Comprehensive Survey and Taxonomycited by 54
  13. 2022TF-GridNet: Making Time-Frequency Domain Models Great Again for Monaural Speaker Separationcited by 48
  14. 2023DiffCAD: Weakly-Supervised Probabilistic CAD Model Retrieval and Alignment from an RGB Imagecited by 48
  15. 2024FlexCAD: Unified and Versatile Controllable CAD Generation with Fine-tuned Large Language Modelscited by 34
  16. 2022Beyond Fixation: Dynamic Window Visual Transformercited by 28
  17. 2023Learning Signed Distance Functions from Noisy 3D Point Clouds via Noise to Noise Mappingcited by 27
  18. 2024PoinTramba: A Hybrid Transformer-Mamba Framework for Point Cloud Analysiscited by 26
  19. 2024GetMesh: A Controllable Model for High-quality Mesh Generation and Manipulationcited by 8
  20. 2024LOMA: Language-assisted Semantic Occupancy Network via Triplane Mambacited by 8

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 1.

1 paper.

Similar, not cited

Close in wording, no citation either way

  1. 2026Mamba-CAD: State Space Model For 3D Computer-Aided Design Generative Modeling
  2. 2026Computer-Aided Design Generation by Cascaded Discrete Diffusion Model
  3. 2026GeoFusion-CAD: Structure-Aware Diffusion with Geometric State Space for Parametric 3D Design
  4. 2026Img2CADSeq: Image-to-CAD Generation via Sequence-Based Diffusion
  5. 2025GenCAD-3D: CAD Program Generation using Multimodal Latent Space Alignment and Synthetic Dataset Balancing
  6. 2026Zero-to-CAD: Agentic Synthesis of Interpretable CAD Programs at Million-Scale Without Real Data
  7. 2026Pointer-CAD v2: Plan-Then-Construct CAD Generation with Dimension-Aware Parametric Precision
  8. 2025Target-Guided Bayesian Flow Networks for Quantitatively Constrained CAD Generation