Quantum machine learning: a classical perspective

C Ciliberto, M Herbster, AD Ialongo… - … of the Royal …, 2018 - royalsocietypublishing.org
Recently, increased computational power and data availability, as well as algorithmic
advances, have led machine learning (ML) techniques to impressive results in regression …

Recent advances in algorithmic high-dimensional robust statistics

I Diakonikolas, DM Kane - arxiv preprint arxiv:1911.05911, 2019 - arxiv.org
Learning in the presence of outliers is a fundamental problem in statistics. Until recently, all
known efficient unsupervised learning algorithms were very sensitive to outliers in high …

Quantum variational algorithms are swamped with traps

ER Anschuetz, BT Kiani - Nature Communications, 2022 - nature.com
One of the most important properties of classical neural networks is how surprisingly
trainable they are, though their training algorithms typically rely on optimizing complicated …

Exponentially tighter bounds on limitations of quantum error mitigation

Y Quek, D Stilck França, S Khatri, JJ Meyer, J Eisert - Nature Physics, 2024 - nature.com
Quantum error mitigation has been proposed as a means to combat unwanted and
unavoidable errors in near-term quantum computing without the heavy resource overheads …

The merged-staircase property: a necessary and nearly sufficient condition for sgd learning of sparse functions on two-layer neural networks

E Abbe, EB Adsera… - Conference on Learning …, 2022 - proceedings.mlr.press
It is currently known how to characterize functions that neural networks can learn with SGD
for two extremal parametrizations: neural networks in the linear regime, and neural networks …

Adversarial examples from computational constraints

S Bubeck, YT Lee, E Price… - … on Machine Learning, 2019 - proceedings.mlr.press
Why are classifiers in high dimension vulnerable to “adversarial” perturbations? We show
that it is likely not due to information theoretic limitations, but rather it could be due to …

Selection of relevant features and examples in machine learning

AL Blum, P Langley - Artificial intelligence, 1997 - Elsevier
In this survey, we review work in machine learning on methods for handling data sets
containing large amounts of irrelevant information. We focus on two key issues: the problem …

Statistical query lower bounds for robust estimation of high-dimensional gaussians and gaussian mixtures

I Diakonikolas, DM Kane… - 2017 IEEE 58th Annual …, 2017 - ieeexplore.ieee.org
We describe a general technique that yields the first Statistical Query lower bounds for a
range of fundamental high-dimensional learning problems involving Gaussian distributions …

What can we learn privately?

SP Kasiviswanathan, HK Lee, K Nissim… - SIAM Journal on …, 2011 - SIAM
Learning problems form an important category of computational tasks that generalizes many
of the computations researchers apply to large real-life data sets. We ask, What concept …

[BOK][B] An introduction to computational learning theory

MJ Kearns, U Vazirani - 1994 - books.google.com
Emphasizing issues of computational efficiency, Michael Kearns and Umesh Vazirani
introduce a number of central topics in computational learning theory for researchers and …