Self-testing of quantum systems: a review

I Šupić, J Bowles - Quantum, 2020 - quantum-journal.org
Self-testing is a method to infer the underlying physics of a quantum experiment in a black
box scenario. As such it represents the strongest form of certification for quantum systems. In …

Control principles of complex systems

YY Liu, AL Barabási - Reviews of Modern Physics, 2016 - APS
A reflection of our ultimate understanding of a complex system is our ability to control its
behavior. Typically, control has multiple prerequisites: it requires an accurate map of the …

Towards fast computation of certified robustness for relu networks

L Weng, H Zhang, H Chen, Z Song… - International …, 2018 - proceedings.mlr.press
Verifying the robustness property of a general Rectified Linear Unit (ReLU) network is an NP-
complete problem. Although finding the exact minimum adversarial distortion is hard, giving …

Mip*= re

Z Ji, A Natarajan, T Vidick, J Wright… - Communications of the …, 2021 - dl.acm.org
Note from the Research Highlights Co-Chairs: A Research Highlights paper appearing in
Communications is usually peer-reviewed prior to publication. The following paper is …

[HTML][HTML] On-demand ridesharing with optimized pick-up and drop-off walking locations

A Fielbaum, X Bai, J Alonso-Mora - Transportation research part C …, 2021 - Elsevier
On-demand systems in which passengers with similar routes can share a vehicle are
expected to become a relevant part of future mobility, thanks to their flexibility and their …

A threshold of ln n for approximating set cover

U Feige - Journal of the ACM (JACM), 1998 - dl.acm.org
Given a collection ℱ of subsets of S={1,…, n}, set cover is the problem of selecting as few as
possible subsets from ℱ such that their union covers S,, and max k-cover is the problem of …

[图书][B] Combinatorial optimization

BH Korte, J Vygen, B Korte, J Vygen - 2011 - Springer
Let us start with two examples. A company has a machine which drills holes into printed
circuit boards. Since it produces many of these boards it wants the machine to complete one …

Proof verification and the hardness of approximation problems

S Arora, C Lund, R Motwani, M Sudan… - Journal of the ACM …, 1998 - dl.acm.org
We show that every language in NP has a probablistic verifier that checks membership
proofs for it using logarithmic number of random bits and by examining a constant number of …

Adaptive submodularity: Theory and applications in active learning and stochastic optimization

D Golovin, A Krause - Journal of Artificial Intelligence Research, 2011 - jair.org
Many problems in artificial intelligence require adaptively making a sequence of decisions
with uncertain outcomes under partial observability. Solving such stochastic optimization …

Probabilistic checking of proofs: A new characterization of NP

S Arora, S Safra - Journal of the ACM (JACM), 1998 - dl.acm.org
We give a new characterization of NP: the class NP contains exactly those languages L for
which membership proofs (a proof that an input x is in L) can be verified probabilistically in …