Challenges and opportunities in quantum optimization

A Abbas, A Ambainis, B Augustino, A Bärtschi… - Nature Reviews …, 2024 - nature.com
Quantum computers have demonstrable ability to solve problems at a scale beyond brute-
force classical simulation. Interest in quantum algorithms has developed in many areas …

Kochen-specker contextuality

C Budroni, A Cabello, O Gühne, M Kleinmann… - Reviews of Modern …, 2022 - APS
A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In
short, it states that quantum mechanics is in conflict with classical models in which the result …

[图书][B] Bandit algorithms

T Lattimore, C Szepesvári - 2020 - books.google.com
Decision-making in the face of uncertainty is a significant challenge in machine learning,
and the multi-armed bandit model is a commonly used framework to address it. This …

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 …

Robust estimators in high-dimensions without the computational intractability

I Diakonikolas, G Kamath, D Kane, J Li, A Moitra… - SIAM Journal on …, 2019 - SIAM
We study high-dimensional distribution learning in an agnostic setting where an adversary is
allowed to arbitrarily corrupt an ε-fraction of the samples. Such questions have a rich history …

From predictive to prescriptive analytics

D Bertsimas, N Kallus - Management Science, 2020 - pubsonline.informs.org
We combine ideas from machine learning (ML) and operations research and management
science (OR/MS) in developing a framework, along with specific methods, for using data to …

Distributionally robust convex optimization

W Wiesemann, D Kuhn, M Sim - Operations research, 2014 - pubsonline.informs.org
Distributionally robust optimization is a paradigm for decision making under uncertainty
where the uncertain problem data are governed by a probability distribution that is itself …

[图书][B] Foundations of data science

A Blum, J Hopcroft, R Kannan - 2020 - books.google.com
This book provides an introduction to the mathematical and algorithmic foundations of data
science, including machine learning, high-dimensional geometry, and analysis of large …

A faster cutting plane method and its implications for combinatorial and convex optimization

YT Lee, A Sidford, SC Wong - 2015 IEEE 56th Annual …, 2015 - ieeexplore.ieee.org
In this paper we improve upon the running time for finding a point in a convex set given a
separation oracle. In particular, given a separation oracle for a convex set K⊂ R n that is …

[图书][B] Handbook of satisfiability

A Biere, M Heule, H van Maaren - 2009 - books.google.com
“Satisfiability (SAT) related topics have attracted researchers from various disciplines: logic,
applied areas such as planning, scheduling, operations research and combinatorial …