Research directions

3D part-based understanding

Focus: Part-based representation learning for structured, compositional understanding of 3D objects.

Approach: Connect part geometry, semantic naming, and compositional representations to support human-like visual understanding.

Selected work: Name That Part, structured 3D compositional models, and synthetic-to-real part understanding.

Human-like perception & robust reasoning

Problem: Models recognize objects but fail to reason over hierarchy, attributes, and affordances.

Key idea: Connect cognitive principles of perceptual organization with interpretable representations and diagnostic evaluation.

Selected work: Perceptual Taxonomy and Can These Views Be One Scene?.

Interpretable AI & physics of AI

Focus: Understand the representations, weight geometry, and learning dynamics that shape model behavior.

Approach: Study shared low-dimensional structure across trained models to explain how learning and adaptation work.

Selected work: The Universal Weight Subspace Hypothesis.

Continual learning & efficient adaptation

Problem: Continual adaptation is compute-heavy and prone to forgetting.

Key idea: Shared low-dimensional update geometry for reuse, merging, and strict continual learning.

Selected work: EigenLoRAx, Share, and continual forgetting and remembering.

Selected Contributions and Research Ideas

  1. 3D part-based understanding. Advanced structured object understanding through named 3D parts, joint segmentation and semantic alignment, and compositional representations.
  2. Universal weight geometry / shared subspaces. Studied and characterized shared low-dimensional structure across trained neural models.
  3. Hierarchical perceptual diagnostics. Developed a framework for evaluating compositional and structured visual reasoning.
  4. Catastrophic remembering + strict continual learning. Formalized catastrophic remembering and developed shared-subspace methods for almost strict continual learning.
  5. Source-free, image-only UDA for 3D pose (3DUDA). Introduced a source-free adaptation setting for 3D object pose estimation.
  6. Adapter recycling / principal subspaces. Reused adapters to estimate principal subspaces for efficient adaptation and reuse.
  7. Shared subspace continual fine-tuning (Share). Framed continual updates as shared-subspace fine-tuning for efficiency and stability.

Research Roadmap

A living view of completed recent projects, active directions, and the longer-term research program.

Completed recent works

  • Completed: Strict continual learning methods for large language models.
  • Completed: Reliable evaluation metrics for 3D reasoning systems.
  • Completed: 3D animal fur reconstruction and shape modelling.

Next directions

  • Efficient 3D primitive representations.
  • Probabilistic and semi-supervised semantic 3D part segmentation.
  • Part-based vision-language-action models.
  • LLM/VLM model merging and transfer.

Long-term direction

  • General theory of deep learning and scaling behavior.
  • Synthetic internal 3D worlds for part-level causal and physics reasoning.
  • Explore super-Turing perspectives (theoretical).