57 citations · 150 across the 9 of their papers we have counts for
9 papers
Recommender systems inspired by the structure of quantum theory
Cyril Stark
Physicists use quantum models to describe the behavior of physical systems. Quantum models owe their success to their interpretability, to their relation to probabilistic models (q…
Top-N recommendations from expressive recommender systems
Cyril Stark
Normalized nonnegative models assign probability distributions to users and random variables to items; see [Stark, 2015]. Rating an item is regarded as sampling the random variable…
Expressive recommender systems through normalized nonnegative models
Cyril Stark
We introduce normalized nonnegative models (NNM) for explorative data analysis. NNMs are partial convexifications of models from probability theory. We demonstrate their value at t…
Learning optimal quantum models is NP-hard
Cyril Stark
Physical modeling closes the gap between perception in terms of measurements and abstraction in terms of theoretical models. Physical modeling is a major objective in physics and i…
Compressibility of positive semidefinite factorizations and quantum models
Cyril J. Stark, Aram W. Harrow
We investigate compressibility of the dimension of positive semidefinite matrices while approximately preserving their pairwise inner products. This can either be regarded as compr…
Simultaneous Estimation of Dimension, States and Measurements: Computation of representative density matrices and POVMs
Cyril Stark
This investigation continues a program aiming at obtaining effective quantum models to describe measurement statistics. In [Stark, arXiv:1209.5737 (2012)], we have described how th…
Global Completability with Applications to Self-Consistent Quantum Tomography
Cyril Stark
Let p_1, ..., p_N \in R^D be unknown vectors and let Omega \subseteq {1,...,N}^{\times 2}. Assume that the inner products p_i^T p_j are fixed for all (i,j) \in Omega. Do these inne…
Self-consistent tomography of the state-measurement Gram matrix
Cyril Stark
State and measurement tomography make assumptions about the experimental states or measurements. These assumptions are often not justified because state preparation and measurement…
Localization of Toric Code Defects
Cyril Stark, Lode Pollet, Atac Imamoglu +1
We explore the possibility of passive error correction in the toric code model. We first show that even coherent dynamics, stemming from spin interactions or the coupling to an ext…