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Aaron J Havens

6 accepted papers

2025

Adjoint Sampling: Highly Scalable Diffusion Samplers via Adjoint Matching

ICML 2025poster

We introduce Adjoint Sampling, a highly scalable and efficient algorithm for learning diffusion processes that sample from unnormalized densities, or energy functions. It is the first on-policy approach that allows significantly more gradient updates than the number of energy evaluations and model s…

2024

Fine-grained Local Sensitivity Analysis of Standard Dot-Product Self-Attention

ICML 2024poster

Self-attention has been widely used in various machine learning models, such as vision transformers. The standard dot-product self-attention is arguably the most popular structure, and there is a growing interest in understanding the mathematical properties of such attention mechanisms. This paper p…

2024

Novel Quadratic Constraints for Extending LipSDP beyond Slope-Restricted Activations

ICLR 2024poster

Recently, semidefinite programming (SDP) techniques have shown great promise in providing accurate Lipschitz bounds for neural networks. Specifically, the LipSDP approach (Fazlyab et al., 2019) has received much attention and provides the least conservative Lipschitz upper bounds that can be compute…

Cited by 6SourcePDFScholar
2024

On the Scalability and Memory Efficiency of Semidefinite Programs for Lipschitz Constant Estimation of Neural Networks

ICLR 2024poster

Lipschitz constant estimation plays an important role in understanding generalization, robustness, and fairness in deep learning. Unlike naive bounds based on the network weight norm product, semidefinite programs (SDPs) have shown great promise in providing less conservative Lipschitz bounds with p…

2023

A Unified Algebraic Perspective on Lipschitz Neural Networks

ICLR 2023top-25%

Important research efforts have focused on the design and training of neural networks with a controlled Lipschitz constant. The goal is to increase and sometimes guarantee the robustness against adversarial attacks. Recent promising techniques draw inspirations from different backgrounds to design 1…

2023

Exploiting Connections between Lipschitz Structures for Certifiably Robust Deep Equilibrium Models

NeurIPS 2023poster

Recently, deep equilibrium models (DEQs) have drawn increasing attention from the machine learning community. However, DEQs are much less understood in terms of certified robustness than their explicit network counterparts. In this paper, we advance the understanding of certified robustness of DEQs…