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Statistical Complexity of Quantum Learning

open access: yesAdvanced Quantum Technologies, Volume 8, Issue 12, December 2025.
The statistical performance of quantum learning is investigated as a function of the number of training data N$N$, and of the number of copies available for each quantum state in the training and testing data sets, respectively S$S$ and V$V$. Indeed, the biggest difference in quantum learning comes from the destructive nature of quantum measurements ...
Leonardo Banchi   +3 more
wiley   +1 more source

Fast and Slow Mixing of the Kawasaki Dynamics on Bounded‐Degree Graphs

open access: yesRandom Structures &Algorithms, Volume 67, Issue 4, December 2025.
ABSTRACT We study the worst‐case mixing time of the global Kawasaki dynamics for the fixed‐magnetization Ising model on the class of graphs of maximum degree Δ$$ \Delta $$. Proving a conjecture of Carlson, Davies, Kolla, and Perkins, we show that below the tree‐uniqueness threshold, the Kawasaki dynamics mix rapidly for all magnetizations. Disproving a
Aiya Kuchukova   +3 more
wiley   +1 more source

Robust and Differentially Private Principal Component Analysis

open access: yesStatistical Analysis and Data Mining: An ASA Data Science Journal, Volume 18, Issue 6, December 2025.
ABSTRACT Recent advances have sparked significant interest in the development of privacy‐preserving Principal Component Analysis (PCA). However, many existing approaches rely on restrictive assumptions, such as assuming sub‐Gaussian data or being vulnerable to data contamination.
Minwoo Kim, Sungkyu Jung
wiley   +1 more source

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