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The quantum approximate optimization algorithm (QAOA) is a hybrid quantum-classical variational algorithm that offers the potential to handle combinatorial optimization problems. Introducing constraints in such combinatorial optimization…

Quantum Physics · Physics 2021-12-15 Santosh Kumar Radha

We solve the analysis sparse coding problem considering a combination of convex and non-convex sparsity promoting penalties. The multi-penalty formulation results in an iterative algorithm involving proximal-averaging. We then unfold the…

Lloyd's algorithm is an iterative method that solves the quantization problem, i.e. the approximation of a target probability measure by a discrete one, and is particularly used in digital applications. This algorithm can be interpreted as…

Optimization and Control · Mathematics 2026-05-14 Léo Portales , Elsa Cazelles , Edouard Pauwels

Deep learning has made remarkable progress recently, largely due to the availability of large, well-labeled datasets. However, the training on such datasets elevates costs and computational demands. To address this, various techniques like…

Computer Vision and Pattern Recognition · Computer Science 2024-07-11 Zhenghao Zhao , Yuzhang Shang , Junyi Wu , Yan Yan

Quantization is a proven effective method for compressing large language models. Although popular techniques like W8A8 and W4A16 effectively maintain model performance, they often fail to concurrently speed up the prefill and decoding…

Machine Learning · Computer Science 2024-08-01 Ying Zhang , Peng Zhang , Mincong Huang , Jingyang Xiang , Yujie Wang , Chao Wang , Yineng Zhang , Lei Yu , Chuan Liu , Wei Lin

Variational Quantum Algorithms (VQA) have emerged with a wide variety of applications. One question to ask is either they can efficiently be implemented and executed on existing architectures. Current hardware suffers from uncontrolled…

Quantum Physics · Physics 2023-10-26 Anne-Solène Bornens , Michel Nowak

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

This study explores the quantisation-aware training (QAT) on time series Transformer models. We propose a novel adaptive quantisation scheme that dynamically selects between symmetric and asymmetric schemes during the QAT phase. Our…

Machine Learning · Computer Science 2023-10-05 Tianheng Ling , Chao Qian , Lukas Einhaus , Gregor Schiele

Post-training quantization (PTQ) is a neural network compression technique that converts a full-precision model into a quantized model using lower-precision data types. Although it can help reduce the size and computational cost of deep…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Jiawei Liu , Lin Niu , Zhihang Yuan , Dawei Yang , Xinggang Wang , Wenyu Liu

Large language models require significant computational resources for deployment, making quantization essential for practical applications. However, the main obstacle to effective quantization lies in systematic outliers in activations and…

Machine Learning · Computer Science 2025-11-25 Cuong Pham , Hoang Anh Dung , Cuong C. Nguyen , Trung Le , Gustavo Carneiro , Jianfei Cai , Thanh-Toan Do

As machine learning inferences increasingly move to edge devices, adapting to diverse computational capabilities, hardware, and memory constraints becomes more critical. Instead of relying on a pre-trained model fixed for all future…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-01 Xiangchen Li , Saeid Ghafouri , Bo Ji , Hans Vandierendonck , Deepu John , Dimitrios S. Nikolopoulos

Deep Neural Networks reached state-of-the-art performance across numerous domains, but this progress has come at the cost of increasingly large and over-parameterized models, posing serious challenges for deployment on resource-constrained…

Machine Learning · Computer Science 2026-02-04 Dario Malchiodi , Mattia Ferraretto , Marco Frasca

Quantum Approximate Optimisation (QAOA) is the most studied gate based variational quantum algorithm today. We train QAOA one layer at a time to maximize overlap with an $n$ qubit target state. Doing so we discovered that such training…

Quantum Physics · Physics 2021-09-22 E. Campos , D. Rabinovich , V. Akshay , J. Biamonte

To bridge the ever increasing gap between deep neural networks' complexity and hardware capability, network quantization has attracted more and more research attention. The latest trend of mixed precision quantization takes advantage of…

Machine Learning · Computer Science 2025-10-28 Yuexiao Ma , Taisong Jin , Xiawu Zheng , Yan Wang , Huixia Li , Yongjian Wu , Guannan Jiang , Wei Zhang , Rongrong Ji

Variational Quantum Algorithms (VQAs) are relatively robust to noise, but errors are still a significant detriment to VQAs on near-term quantum machines. It is imperative to employ error mitigation techniques to improve VQA fidelity. While…

Quantum Annealing (QA) is a computational framework where a quantum system's continuous evolution is used to find the global minimum of an objective function over an unstructured search space. It can be seen as a general metaheuristic for…

Quantum Physics · Physics 2022-02-04 Arthur Braida , Simon Martiel , Ioan Todinca

There has been much recent interest in near-term applications of quantum computers, i.e., using quantum circuits that have short decoherence times due to hardware limitations. Variational quantum algorithms (VQA), wherein an optimization…

Quantum Physics · Physics 2024-10-16 Vyacheslav Kungurtsev , Georgios Korpas , Jakub Marecek , Elton Yechao Zhu

Quantum Approximate Optimization Algorithms (QAOA) promise efficient solutions to classically intractable combinatorial optimization problems by harnessing shallow-depth quantum circuits. Yet, their performance and scalability often hinge…

Quantum Physics · Physics 2025-05-02 Kuan-Cheng Chen , Hiromichi Matsuyama , Wei-Hao Huang

This paper focuses on adaptive control of the discrete-time linear quadratic regulator (adaptive LQR). Recent literature has made significant contributions in proving non-asymptotic convergence rates, but existing approaches have a few…

Systems and Control · Electrical Eng. & Systems 2026-04-27 Peter A. Fisher , Anuradha M. Annaswamy

Rotation-based Post-Training Quantization (PTQ) has emerged as a promising solution for mitigating activation outliers in the quantization of Large Language Models (LLMs). Global rotation methods achieve inference efficiency by fusing…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Suyoung Kim , Sunghyun Wee , Hyeonjin Kim , Kyomin Hwang , Hyunho Lee , Nojun Kwak