224 citations · 549 across the 13 of their papers we have counts for
14 papers
Certifying Out-of-Domain Generalization for Blackbox Functions
Maurice Weber, Linyi Li, Boxin Wang +3
Certifying the robustness of model performance under bounded data distribution drifts has recently attracted intensive interest under the umbrella of distributional robustness. How…
Toward Reliability in the NISQ Era: Robust Interval Guarantee for Quantum Measurements on Approximate States
Maurice Weber, Abhinav Anand, Alba Cervera-Lierta +6
Near-term quantum computation holds potential across multiple application domains. However, imperfect preparation and evolution of states due to algorithmic and experimental shortc…
Optimal Provable Robustness of Quantum Classification via Quantum Hypothesis Testing
Maurice Weber, Nana Liu, Bo Li +2
Quantum machine learning models have the potential to offer speedups and better predictive accuracy compared to their classical counterparts. However, these quantum algorithms, lik…
A note on blind contact tracing at scale with applications to the COVID-19 pandemic
Jack K. Fitzsimons, Atul Mantri, Robert Pisarczyk +2
The current COVID-19 pandemic highlights the utility of contact tracing, when combined with case isolation and social distancing, as an important tool for mitigating the spread of…
Improving Certified Robustness via Statistical Learning with Logical Reasoning
Zhuolin Yang, Zhikuan Zhao, Boxin Wang +8
Intensive algorithmic efforts have been made to enable the rapid improvements of certificated robustness for complex ML models recently. However, current robustness certification m…
Compiling basic linear algebra subroutines for quantum computers
Liming Zhao, Zhikuan Zhao, Patrick Rebentrost +1
Efficiently processing basic linear algebra subroutines is of great importance for a wide range of computational problems. In this paper, we consider techniques to implement matrix…
Quantum Statistical Inference
Zhikuan Zhao
In this thesis, I present several results on quantum statistical inference in the following two directions. Firstly, I demonstrate that quantum algorithms can be applied to enhance…
Bayesian Deep Learning on a Quantum Computer
Zhikuan Zhao, Alejandro Pozas-Kerstjens, Patrick Rebentrost +1
Bayesian methods in machine learning, such as Gaussian processes, have great advantages com-pared to other techniques. In particular, they provide estimates of the uncertainty asso…
Causal limit on quantum communication
Robert Pisarczyk, Zhikuan Zhao, Yingkai Ouyang +2
The capacity of a channel is known to be equivalent to the highest rate at which it can generate entanglement. Analogous to entanglement, the notion of a causality measure characte…
Smooth input preparation for quantum and quantum-inspired machine learning
Zhikuan Zhao, Jack K. Fitzsimons, Patrick Rebentrost +2
Machine learning has recently emerged as a fruitful area for finding potential quantum computational advantage. Many of the quantum enhanced machine learning algorithms critically…
Quantum algorithms for training Gaussian Processes
Zhikuan Zhao, Jack K. Fitzsimons, Michael A. Osborne +2
Gaussian processes (GPs) are important models in supervised machine learning. Training in Gaussian processes refers to selecting the covariance functions and the associated paramet…
Geometry of quantum correlations in space-time
Zhikuan Zhao, Robert Pisarczyk, Jayne Thompson +3
The traditional formalism of non-relativistic quantum theory allows the state of a quantum system to extend across space, but only restricts it to a single instant in time, leading…
A quantum linear system algorithm for dense matrices
Leonard Wossnig, Zhikuan Zhao, Anupam Prakash
Solving linear systems of equations is a frequently encountered problem in machine learning and optimisation. Given a matrix and a vector the task is to find the ve…
Quantum assisted Gaussian process regression
Zhikuan Zhao, Jack K. Fitzsimons, Joseph F. Fitzsimons
Gaussian processes (GP) are a widely used model for regression problems in supervised machine learning. Implementation of GP regression typically requires logic gates. We…