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In various applications the search for certificates for certain properties (e.g., stability of dynamical systems, program termination) can be formulated as a quantified constraint solving problem with quantifier prefix exists-forall. In…

Logic in Computer Science · Computer Science 2014-06-26 Milan Hladík , Stefan Ratschan

Uncertainty Quantification (UQ) is essential for the reliable application of computational models in engineering and science. Among surrogate modeling techniques, Gaussian Process Regression (GPR) is particularly valuable for its…

Computation · Statistics 2025-12-15 Jinglai Li , Hongqiao Wang

For lambda phi^4 models, the introduction of a large field cutoff improves significantly the accuracy that can be reached with perturbative series but the calculation of the modified coefficients remains a challenging problem. We show that…

High Energy Physics - Theory · Physics 2007-05-23 L. Li , Y. Meurice

Compression is a key step to deploy large neural networks on resource-constrained platforms. As a popular compression technique, quantization constrains the number of distinct weight values and thus reducing the number of bits required to…

Machine Learning · Computer Science 2019-01-15 Yukun Ding , Jinglan Liu , Jinjun Xiong , Yiyu Shi

Quantum computers will require quantum error correction to reach the low error rates necessary for solving problems that surpass the capabilities of conventional computers. One of the dominant errors limiting the performance of quantum…

The basic goal of quantization for probability distribution is to reduce the number of values, which is typically uncountable, describing a probability distribution to some finite set and thus to make an approximation of a continuous…

Probability · Mathematics 2022-08-23 Joseph Rosenblatt , Mrinal Kanti Roychowdhury

Quantum information processing is in real systems often limited by dissipation, stemming from remaining uncontrolled interaction with microscopic degrees of freedom. Given recent experimental progress, we consider weak dissipation,…

Quantum Physics · Physics 2022-10-11 Tahereh Abad , Jorge Fernández-Pendás , Anton Frisk Kockum , Göran Johansson

Quantum federated learning (QFL) has been recently introduced to enable a distributed privacy-preserving quantum machine learning (QML) model training across quantum processors (clients). Despite recent research efforts, existing QFL…

Artificial Intelligence · Computer Science 2025-10-21 Atit Pokharel , Ratun Rahman , Thomas Morris , Dinh C. Nguyen

Quantum federated learning (QFL) is a quantum extension of the classical federated learning model across multiple local quantum devices. An efficient optimization algorithm is always expected to minimize the communication overhead among…

Quantum Physics · Physics 2023-03-15 Jun Qi , Xiao-Lei Zhang , Javier Tejedor

Quantified Conflict Driven Clause Leaning (QCDCL) is one of the main approaches to solving Quantified Boolean Formulas (QBF). Cube-learning is employed in this approach to ensure that true formulas can be verified. Dependency Schemes help…

Logic in Computer Science · Computer Science 2025-10-08 Abhimanyu Choudhury , Meena Mahajan

Research on quantum computing has recently gained significant momentum since first physical devices became available. Many quantum algorithms make use of so-called oracles that implement Boolean functions and are queried with highly…

Quantum Physics · Physics 2019-06-07 Alwin Zulehner , Philipp Niemann , Rolf Drechsler , Robert Wille

With the applications of quantum computing becoming more and more widespread, finding ways that allow end users without experience in the field to apply quantum computers to solve their individual problems is becoming a crucial task.…

Quantum Physics · Physics 2024-04-18 Damian Rovara , Nils Quetschlich , Robert Wille

Rotations have become essential to state-of-the-art quantization pipelines for large language models (LLMs) by effectively smoothing outliers in weights and activations. However, further optimizing the rotation parameters offers only…

Machine Learning · Computer Science 2025-09-01 Liulu He , Shenli Zheng , Karwei Sun , Yijiang Liu , Yufei Zhao , Chongkang Tan , Huanrui Yang , Yuan Du , Li Du

Quadratic Unconstrained Binary Optimization (QUBO) is recognized as a unifying framework for modeling a wide range of problems. Problems can be solved with commercial solvers customized for solving QUBO and since QUBO have degree two, it is…

Optimization and Control · Mathematics 2021-07-27 Amit Verma , Mark Lewis , Gary Kochenberger

Latent diffusion models (LDM) have revolutionized text-to-image generation, leading to the proliferation of various advanced models and diverse downstream applications. However, despite these significant advancements, current diffusion…

Computer Vision and Pattern Recognition · Computer Science 2024-11-27 Jiacheng Zhang , Jie Wu , Yuxi Ren , Xin Xia , Huafeng Kuang , Pan Xie , Jiashi Li , Xuefeng Xiao , Weilin Huang , Shilei Wen , Lean Fu , Guanbin Li

In a topological quantum computer, universal quantum computation is performed by dragging quasiparticle excitations of certain two dimensional systems around each other to form braids of their world lines in 2+1 dimensional space-time. In…

Quantum Physics · Physics 2009-11-11 S. H. Simon , N. E. Bonesteel , M. H. Freedman , N. Petrovic , L. Hormozi

We present a unified approach to quantum error correction, called operator quantum error correction. This scheme relies on a generalized notion of noiseless subsystems that is not restricted to the commutant of the interaction algebra. We…

Quantum Physics · Physics 2009-11-10 David Kribs , Raymond Laflamme , David Poulin

Structured pruning and quantization are promising approaches for reducing the inference time and memory footprint of neural networks. However, most existing methods require the original training dataset to fine-tune the model. This not only…

Machine Learning · Computer Science 2023-08-15 Shipeng Bai , Jun Chen , Xintian Shen , Yixuan Qian , Yong Liu

Scientific Machine Learning is a new class of approaches that integrate physical knowledge and mechanistic models with data-driven techniques for uncovering governing equations of complex processes. Among the available approaches, Universal…

Machine Learning · Statistics 2024-06-14 Nina Schmid , David Fernandes del Pozo , Willem Waegeman , Jan Hasenauer

Adaptive Precision Training: Quantify Back Propagation in Neural Networks with Fixed-point Numbers. Recent emerged quantization technique has been applied to inference of deep neural networks for fast and efficient execution. However,…

Machine Learning · Computer Science 2020-03-06 Xishan Zhang , Shaoli Liu , Rui Zhang , Chang Liu , Di Huang , Shiyi Zhou , Jiaming Guo , Yu Kang , Qi Guo , Zidong Du , Yunji Chen