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Andres Potapczynski

12 accepted papers

2026

Understanding and Relaxing the Limitations of Transformers for Linear Algebra

ICLR 2026poster

Matrix operations, such as linear solves, eigendecompositions, and log determinants, are foundational building blocks for any number of downstream applications. Therefore, any broadly capable learning system should be able to effectively approximate these operations in its internal representation. A…

Cited by 0SourceScholar
2026

Zero-shot Forecasting by Simulation Alone

ICLR 2026poster

Zero-shot time-series forecasting holds great promise, but is still in its infancy, hindered by limited and biased data corpora, leakage-prone evaluation, and privacy and licensing constraints. We propose the first practical univariate time-series simulation pipeline, which is simultaneously fast en…

Cited by 0SourceScholar
2025

Customizing the Inductive Biases of Softmax Attention using Structured Matrices

ICML 2025poster

The core component of attention is the scoring function, which transforms the inputs into low-dimensional queries and keys and takes the dot product of each pair. While the low-dimensional projection improves efficiency, it causes information loss for certain tasks that have intrinsically high-dimen…

Cited by 0SourcePDFScholar
2025

Training Flexible Models of Genetic Variant Effects from Functional Annotations using Accelerated Linear Algebra

ICML 2025poster

To understand how genetic variants in human genomes manifest in phenotypes - traits like height or diseases like asthma - geneticists have sequenced and measured hundreds of thousands of individuals. Geneticists use this data to build models that predict how a genetic variant impacts phenotype given…

2024

Compute Better Spent: Replacing Dense Layers with Structured Matrices

ICML 2024poster

Dense linear layers are the dominant computational bottleneck in foundation models. Identifying more efficient alternatives to dense matrices has enormous potential for building more compute-efficient models, as exemplified by the success of convolutional networks in the image domain. In this work,…

2024

Searching for Efficient Linear Layers over a Continuous Space of Structured Matrices

NeurIPS 2024poster

Dense linear layers are the dominant computational bottleneck in large neural networks, presenting a critical need for more efficient alternatives. Previous efforts to develop alternatives have focused on a small number of hand-crafted structured matrices, and have neglected to investigate whether t…

2023

A Stable and Scalable Method for Solving Initial Value PDEs with Neural Networks

ICLR 2023poster

Unlike conventional grid and mesh based methods for solving partial differential equations (PDEs), neural networks have the potential to break the curse of dimensionality, providing approximate solutions to problems where using classical solvers is difficult or impossible. While global minimization…

2023

CoLA: Exploiting Compositional Structure for Automatic and Efficient Numerical Linear Algebra

NeurIPS 2023poster

Many areas of machine learning and science involve large linear algebra problems, such as eigendecompositions, solving linear systems, computing matrix exponentials, and trace estimation. The matrices involved often have Kronecker, convolutional, block diagonal, sum, or product structure. In this pa…

2023

Simple and Fast Group Robustness by Automatic Feature Reweighting

ICML 2023poster

A major challenge to out-of-distribution generalization is reliance on spurious features --- patterns that are predictive of the class label in the training data distribution, but not causally related to the target. Standard methods for reducing the reliance on spurious features typically assume tha…

2022

PAC-Bayes Compression Bounds So Tight That They Can Explain Generalization

NeurIPS 2022accept

While there has been progress in developing non-vacuous generalization bounds for deep neural networks, these bounds tend to be uninformative about why deep learning works. In this paper, we develop a compression approach based on quantizing neural network parameters in a linear subspace, profoundly…

2021

Bias-Free Scalable Gaussian Processes via Randomized Truncations

ICML 2021spotlight

Scalable Gaussian Process methods are computationally attractive, yet introduce modeling biases that require rigorous study. This paper analyzes two common techniques: early truncated conjugate gradients (CG) and random Fourier features (RFF). We find that both methods introduce a systematic bias on…

2020

Invertible Gaussian Reparameterization: Revisiting the Gumbel-Softmax

NeurIPS 2020poster

The Gumbel-Softmax is a continuous distribution over the simplex that is often used as a relaxation of discrete distributions. Because it can be readily interpreted and easily reparameterized, it enjoys widespread use. We propose a modular and more flexible family of reparameterizable distributions…