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Linear regression is a data analysis technique, which is categorized as supervised learning. By utilizing known data, we can predict unknown data. Recently, researchers have explored the use of quantum annealing (QA) to perform linear…

Quantum Physics · Physics 2024-10-14 Asuka Koura , Takashi Imoto , Katsuki Ura , Yuichiro Matsuzaki

The Residual Quantization (RQ) framework is revisited where the quantization distortion is being successively reduced in multi-layers. Inspired by the reverse-water-filling paradigm in rate-distortion theory, an efficient regularization on…

Machine Learning · Computer Science 2017-05-02 Sohrab Ferdowsi , Slava Voloshynovskiy , Dimche Kostadinov

Reasoning large language models (RLLMs), such as OpenAI-O3 and DeepSeek-R1, have recently demonstrated remarkable capabilities by performing structured and multi-step reasoning. However, recent studies reveal that RLLMs often suffer from…

Computation and Language · Computer Science 2025-11-10 Kaiwen Yan , Xuanqing Shi , Hongcheng Guo , Wenxuan Wang , Zhuosheng Zhang , Chengwei Qin

This paper considers the problem of nonstationary process monitoring under frequently varying operating conditions. Traditional approaches generally misidentify the normal dynamic deviations as faults and thus lead to high false alarms.…

Systems and Control · Electrical Eng. & Systems 2021-01-22 Jingxin Zhang , Donghua Zhou , Maoyin Chen

Recurrent neural networks (RNNs) have been used extensively and with increasing success to model various types of sequential data. Much of this progress has been achieved through devising recurrent units and architectures with the…

Machine Learning · Statistics 2017-03-06 Yacine Jernite , Edouard Grave , Armand Joulin , Tomas Mikolov

In the last two decades recurrence plots (RPs) were introduced in many different scientific disciplines. It turned out how powerful this method is. After introducing approaches of quantification of RPs and by the study of relationships…

History and Philosophy of Physics · Physics 2017-09-29 Norbert Marwan

Principal Component Analysis (PCA) has been widely used for dimensionality reduction and feature extraction. Robust PCA (RPCA), under different robust distance metrics, such as l1-norm and l2, p-norm, can deal with noise or outliers to some…

Machine Learning · Computer Science 2021-06-29 Zhao Kang , Hongfei Liu , Jiangxin Li , Xiaofeng Zhu , Ling Tian

This paper introduces the hybrid quantum language with general recursion $\mathtt{Hyrql}$, driven towards resource-analysis. By design, $\mathtt{Hyrql}$ does not require the specification of an initial set of quantum gates. Hence, it is…

Logic in Computer Science · Computer Science 2026-02-17 Kostia Chardonnet , Emmanuel Hainry , Romain Péchoux , Thomas Vinet

In large-scale statistical modeling, reducing data size through subsampling is essential for balancing computational efficiency and statistical accuracy. We propose a new method, Principal Component Analysis guided Quantile Sampling…

Computation · Statistics 2026-01-13 Foo Hui-Mean , Yuan-chin Ivan Chang

Probability Quantification (PQ) predictions of the efficacy of safety-critical protective systems is challenging. Yet, the popularity of PQ methodologies (e.g., Probabilistic Risk Assessment (PRA), Quantitative Risk Analysis (QRA) and…

Systems and Control · Electrical Eng. & Systems 2022-03-10 Martin Wortman , Ernest Kee , Pranav Kannan

Variational Quantum Algorithms (VQAs) are promising for near- and intermediate-term quantum computing, but their execution cost is substantial. Each task requires many iterations and numerous circuits per iteration, and real-world…

Quantum Physics · Physics 2025-12-22 Yuewen Hou , Dhanvi Bharadwaj , Gokul Subramanian Ravi

Quantum learning tasks often leverage randomly sampled quantum circuits to characterize unknown systems. An efficient approach known as "circuit reusing," where each circuit is executed multiple times, reduces the cost compared to…

Quantum Physics · Physics 2025-01-29 Zhuo Chen , Guoding Liu , Xiongfeng Ma

This paper describes and tests a method for carrying out quantified reproducibility assessment (QRA) that is based on concepts and definitions from metrology. QRA produces a single score estimating the degree of reproducibility of a given…

Computation and Language · Computer Science 2022-04-13 Anya Belz , Maja Popović , Simon Mille

Circuit cutting enables large quantum circuits to run on small NISQ devices, but it introduces an exponentially high sampling overhead. Here, we present CutVQA, a co-design framework that integrates circuit cutting with quantum architecture…

Quantum Physics · Physics 2026-03-17 Jun Wu , Jicun Li , Jiaqi Yang , Wei Xie , Xiang-Yang Li

The experimental evaluation of many quantum mechanical quantities requires the estimation of several directly measurable observables, such as local observables. Due to the necessity to repeat experiments on individual quantum systems in…

Quantum Physics · Physics 2024-06-10 Ruidi Zhu , Ciara Pike-Burke , Florian Mintert

Near term quantum computers suffer from the presence of different noise sources. In order to mitigate for this effect and acquire results with significantly better accuracy, there is the urge of designing efficient error correction or error…

Quantum phase estimation is a core task in quantum technologies ranging from metrology to quantum computing, where it appears as a key subroutine in various algorithms. Here, we quantitatively connect the performance of phase estimation…

Quantum Physics · Physics 2026-05-11 Felix Ahnefeld , Thomas Theurer , Martin B. Plenio

Looped language models (LoopLMs) improve parameter efficiency by recursively reusing Transformer blocks, enabling deeper computation under a fixed model size. However, this reuse makes LoopLMs more fragile under post-training quantization…

Machine Learning · Computer Science 2026-05-19 Rui Fang , Hsi-Wen Chen , Ming-Syan Chen

The identification of complex periodic windows in the two-dimensional parameter space of certain dynamical systems has recently attracted considerable interest. While for discrete systems, a discrimination between periodic and chaotic…

Chaotic Dynamics · Physics 2011-03-03 Yong Zou , Reik V. Donner , Jonathan F. Donges , Norbert Marwan , Jürgen Kurths

In quantitative program analysis, values are assigned to execution traces to represent a quality measure. Such analyses cover important applications, e.g. resource usage. Examining all traces is well known to be intractable and therefore…

Programming Languages · Computer Science 2016-07-11 Duc-Hiep Chu , Joxan Jaffar , Vijayaraghavan Murali