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Allan Grønlund

5 accepted papers

2026

An Exponential Separation Between Quantum and Quantum-Inspired Classical Algorithms for Linear Systems

ICML 2026poster

Achieving a provable exponential quantum speedup for an important machine learning task has been a central research goal since the seminal HHL quantum algorithm for solving linear systems and the subsequent quantum recommender systems algorithm by Kerenidis and Prakash. These algorithms were initial…

Cited by 0SourceScholar
2020

Near-Tight Margin-Based Generalization Bounds for Support Vector Machines

ICML 2020poster

Support Vector Machines (SVMs) are among the most fundamental tools for binary classification. In its simplest formulation, an SVM produces a hyperplane separating two classes of data using the largest possible margin to the data. The focus on maximizing the margin has been well motivated through nu…

Cited by 29SourcePDFScholar
2019

Margin-Based Generalization Lower Bounds for Boosted Classifiers

NeurIPS 2019poster

Boosting is one of the most successful ideas in machine learning. The most well-accepted explanations for the low generalization error of boosting algorithms such as AdaBoost stem from margin theory. The study of margins in the context of boosting algorithms was initiated by Schapire, Freund, Bart…

Cited by 22SourcePDFScholar
2019

Optimal Minimal Margin Maximization with Boosting

ICML 2019oral

Boosting algorithms iteratively produce linear combinations of more and more base hypotheses and it has been observed experimentally that the generalization error keeps improving even after achieving zero training error. One popular explanation attributes this to improvements in margins. A common go…