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 …

A faster interior point method for semidefinite programming

H Jiang, T Kathuria, YT Lee… - 2020 IEEE 61st …, 2020 - ieeexplore.ieee.org
Semidefinite programs (SDPs) are a fundamental class of optimization problems with
important recent applications in approximation algorithms, quantum complexity, robust …

[HTML][HTML] Network of time-multiplexed optical parametric oscillators as a coherent Ising machine

A Marandi, Z Wang, K Takata, RL Byer… - Nature Photonics, 2014 - nature.com
Finding the ground states of the Ising Hamiltonian maps to various combinatorial
optimization problems in biology, medicine, wireless communications, artificial intelligence …

Principles of quantum communication theory: A modern approach

S Khatri, MM Wilde - arXiv preprint arXiv:2011.04672, 2020 - arxiv.org
This is a preliminary version of a book in progress on the theory of quantum communication.
We adopt an information-theoretic perspective throughout and give a comprehensive …

A deterministic almost-linear time algorithm for minimum-cost flow

J Van Den Brand, L Chen, R Peng… - 2023 IEEE 64th …, 2023 - ieeexplore.ieee.org
We give a deterministic m^1+o(1) time algorithm that computes exact maximum flows and
minimum-cost flows on directed graphs with m edges and polynomially bounded integral …

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] Optimization for machine learning

S Sra, S Nowozin, SJ Wright - 2011 - books.google.com
An up-to-date account of the interplay between optimization and machine learning,
accessible to students and researchers in both communities. The interplay between …

Community structure in large networks: Natural cluster sizes and the absence of large well-defined clusters

J Leskovec, KJ Lang, A Dasgupta… - Internet …, 2009 - Taylor & Francis
A large body of work has been devoted to defining and identifying clusters or communities in
social and information networks, ie, in graphs in which the nodes represent underlying …

The multiplicative weights update method: a meta-algorithm and applications

S Arora, E Hazan, S Kale - Theory of computing, 2012 - theoryofcomputing.org
Algorithms in varied fields use the idea of maintaining a distribution over a certain set and
use the multiplicative update rule to iteratively change these weights. Their analyses are …

Statistical properties of community structure in large social and information networks

J Leskovec, KJ Lang, A Dasgupta… - Proceedings of the 17th …, 2008 - dl.acm.org
A large body of work has been devoted to identifying community structure in networks. A
community is often though of as a set of nodes that has more connections between its …