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 …

Maximum flow and minimum-cost flow in almost-linear time

L Chen, R Kyng, YP Liu, R Peng… - 2022 IEEE 63rd …, 2022 - ieeexplore.ieee.org
We give an algorithm that computes exact maximum flows and minimum-cost flows on
directed graphs with m edges and polynomially bounded integral demands, costs, and …

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

J Van Den Brand, L Chen, R Kyng… - 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 survey on exact algorithms for the maximum flow and minimum‐cost flow problems

O Cruz‐Mejía, AN Letchford - Networks, 2023 - Wiley Online Library
Network flow problems form an important and much‐studied family of combinatorial
optimization problems, with a huge array of practical applications. Two network flow …

A faster algorithm for solving general LPs

S Jiang, Z Song, O Weinstein, H Zhang - Proceedings of the 53rd Annual …, 2021 - dl.acm.org
The fastest known LP solver for general (dense) linear programs is due to [Cohen, Lee and
Song'19] and runs in O*(n ω+ n 2.5− α/2+ n 2+ 1/6) time. A number of follow-up works [Lee …

Negative-weight single-source shortest paths in near-linear time

A Bernstein, D Nanongkai, C Wulff-Nilsen - Communications of the ACM, 2025 - dl.acm.org
In the single-source shortest paths problem, the goal is to compute the shortest path tree
from a designated source vertex in a weighted, directed graph. We present the first near …

Fully dynamic electrical flows: Sparse maxflow faster than Goldberg–Rao

Y Gao, Y Liu, R Peng - SIAM Journal on Computing, 2023 - SIAM
We give an algorithm for computing exact maximum flows on graphs with edges and integer
capacities in the range in time. We use to suppress logarithmic factors in. For sparse graphs …

Mitigating manipulation in peer review via randomized reviewer assignments

S Jecmen, H Zhang, R Liu, N Shah… - Advances in …, 2020 - proceedings.neurips.cc
We consider three important challenges in conference peer review:(i) reviewers maliciously
attempting to get assigned to certain papers to provide positive reviews, possibly as part of …

Mongoose: A learnable lsh framework for efficient neural network training

B Chen, Z Liu, B Peng, Z Xu, JL Li, T Dao… - International …, 2020 - openreview.net
Recent advances by practitioners in the deep learning community have breathed new life
into Locality Sensitive Hashing (LSH), using it to reduce memory and time bottlenecks in …

Unit Capacity Maxflow in Almost Time

T Kathuria, YP Liu, A Sidford - SIAM Journal on Computing, 2022 - SIAM
We present an algorithm which given any m-edge directed graph with positive integer
capacities at most U, vertices a and b, and an approximation parameter ϵ∈(0,1) computes …