212 citations · 370 across the 8 of their papers we have counts for
8 papers
Meaningful Causal Aggregation and Paradoxical Confounding
Yuchen Zhu, Kailash Budhathoki, Jonas Kuebler +1
In aggregated variables the impact of interventions is typically ill-defined because different micro-realizations of the same macro-intervention can result in different changes of…
Multi-Armed Bandits and Quantum Channel Oracles
Simon Buchholz, Jonas M. Kübler, Bernhard Schölkopf
Multi-armed bandits are one of the theoretical pillars of reinforcement learning. Recently, the investigation of quantum algorithms for multi-armed bandit problems was started, and…
Quantum machine learning beyond kernel methods
Sofiene Jerbi, Lukas J. Fiderer, Hendrik Poulsen Nautrup +3
Machine learning algorithms based on parametrized quantum circuits are prime candidates for near-term applications on noisy quantum computers. In this direction, various types of q…
The Inductive Bias of Quantum Kernels
Jonas M. Kübler, Simon Buchholz, Bernhard Schölkopf
It has been hypothesized that quantum computers may lend themselves well to applications in machine learning. In the present work, we analyze function classes defined via quantum k…
Kernel Conditional Moment Test via Maximum Moment Restriction
Krikamol Muandet, Wittawat Jitkrittum, Jonas Kübler
We propose a new family of specification tests called kernel conditional moment (KCM) tests. Our tests are built on a novel representation of conditional moment restrictions in a r…
An Adaptive Optimizer for Measurement-Frugal Variational Algorithms
Jonas M. Kübler, Andrew Arrasmith, Lukasz Cincio +1
Variational hybrid quantum-classical algorithms (VHQCAs) have the potential to be useful in the era of near-term quantum computing. However, recently there has been concern regardi…
Quantum Mean Embedding of Probability Distributions
Jonas M. Kübler, Krikamol Muandet, Bernhard Schölkopf
The kernel mean embedding of probability distributions is commonly used in machine learning as an injective mapping from distributions to functions in an infinite dimensional Hilbe…
Two-qubit causal structures and the geometry of positive qubit-maps
Jonas Kübler, Daniel Braun
We study quantum causal inference in a set-up proposed by Ried et al. [Nat. Phys. 11, 414 (2015)] in which a common-cause scenario can be mixed with a cause-effect scenario, and fo…