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The quantum approximate optimization algorithm (QAOA) is a variational quantum algorithm (VQA) ideal for noisy intermediate-scale quantum (NISQ) processors, and is highly successful in solving combinatorial optimization problems (COPs). It…

量子物理 · 物理学 2026-03-23 Francesco Aldo Venturelli , Sreetama Das , Filippo Caruso

The development of machine learning models has led to an abundance of datasets containing quantum mechanical (QM) calculations for molecular and material systems. However, traditional training methods for machine learning models are unable…

A multilevel kernel-based interpolation method, suitable for moderately high-dimensional function interpolation problems, is proposed. The method, termed multilevel sparse kernel-based interpolation (MLSKI, for short), uses both level-wise…

数值分析 · 数学 2012-04-19 Emmanuil H. Georgoulis , Jeremy Levesley , Fazli Subhan

Quantum machine learning (QML), which combines quantum computing with machine learning, is widely believed to hold the potential to outperform traditional machine learning in the era of noisy intermediate-scale quantum (NISQ). As one of the…

量子物理 · 物理学 2025-01-14 Yu-Xin Jin , Zi-Wei Wang , Hong-Ze Xu , Wei-Feng Zhuang , Meng-Jun Hu , Dong E. Liu

Machine Learning (ML) optimization frameworks have gained attention for their ability to accelerate the optimization of large-scale Quadratically Constrained Quadratic Programs (QCQPs) by learning shared problem structures. However,…

最优化与控制 · 数学 2024-10-08 Zhixiao Xiong , Fangyu Zong , Huigen Ye , Hua Xu

We describe a novel approach to accelerating Monte Carlo Markov Chains. Our focus is cosmological parameter estimation, but the algorithm is applicable to any problem for which the likelihood surface is a smooth function of the free…

宇宙学与河外天体物理 · 物理学 2015-05-20 Adam Bouland , Richard Easther , Katherine Rosenfeld

In this study, we propose an enhancement to the similarity computation mechanism in multi-modal contrastive pretraining frameworks such as CLIP. Prior theoretical research has demonstrated that the optimal similarity metrics between paired…

机器学习 · 计算机科学 2025-10-20 Naoki Yoshida , Satoshi Hayakawa , Yuhta Takida , Toshimitsu Uesaka , Hiromi Wakaki , Yuki Mitsufuji

Quantum approximate optimization is one of the promising candidates for useful quantum computation, particularly in the context of finding approximate solutions to Quadratic Unconstrained Binary Optimization (QUBO) problems. However, the…

Lagrangian relaxation stands among the most efficient approaches for solving a Mixed Integer Linear Programs (MILP) with difficult constraints. Given any duals for these constraints, called Lagrangian Multipliers (LMs), it returns a bound…

机器学习 · 计算机科学 2024-10-21 Francesco Demelas , Joseph Le Roux , Mathieu Lacroix , Axel Parmentier

This paper proposes a multi-step probabilistic forecasting framework using a single neural-network based model to generate simultaneous point and interval forecasts. Our approach ensures non-crossing prediction intervals (PIs) through a…

机器学习 · 计算机科学 2026-04-21 Worachit Amnuaypongsa , Yotsapat Suparanonrat , Pana Wanitchollakit , Jitkomut Songsiri

The Group Relative Policy Optimization (GRPO) algorithm has demonstrated considerable success in enhancing the reasoning capabilities of large language models (LLMs), as evidenced by DeepSeek-R1. However, the absence of intermediate…

机器学习 · 计算机科学 2025-06-06 Fei Ding , Baiqiao Wang , Zijian Zeng , Youwei Wang

The multi-angle quantum approximate optimization algorithm (ma-QAOA) is a recently introduced algorithm that gives at least the same approximation ratio as the quantum approximate optimization algorithm (QAOA) and, in most cases, gives a…

量子物理 · 物理学 2024-09-30 Anthony Wilkie , James Ostrowski , Rebekah Herrman

Quantum computing requires a universal set of gate operations; regarding gates as rotations, any rotation angle must be possible. However a real device may only be capable of $B$ bits of resolution, i.e. it might support only $2^B$ possible…

量子物理 · 物理学 2024-03-28 Bálint Koczor , John Morton , Simon Benjamin

Modern compilers optimize programs through a sequence of modular passes over intermediate representations (IR). While this pass-by-pass paradigm offers engineering benefits, it suffers from a pass coordination problem: locally beneficial…

编程语言 · 计算机科学 2026-02-24 Lei Qiu , Zi Yang , Fang Lyu , Ming Zhong , Huimin Cui , Xiaobing Feng

In the massive multiple-input and multiple-output (Massive MIMO) systems, the maximum likelihood (ML) detection problem is NP-hard and becoming classically intricate with the number of the transmitting antennas and the symbols increasing.…

量子物理 · 物理学 2025-10-16 Yuxiang Liu , Fanxu Meng , Zetong Li , Xutao Yu , Zaichen Zhang

Mixed Integer Linear Programs (MILP) are well known to be NP-hard (Non-deterministic Polynomial-time hard) problems in general. Even though pure optimization-based methods, such as constraint generation, are guaranteed to provide an optimal…

最优化与控制 · 数学 2022-07-18 Asunción Jiménez-Cordero , Juan Miguel Morales , Salvador Pineda

Due to the limited connectivity of gate model quantum devices, logical quantum circuits must be compiled to target hardware before they can be executed. Often, this process involves the insertion of SWAP gates into the logical circuit,…

量子物理 · 物理学 2023-06-16 Kyle E. C. Booth

Major challenges in LLMs inference remain frequent memory bandwidth bottlenecks, computational redundancy, and inefficiencies in long-sequence processing. To address these issues, we propose LLM-CoOpt, a comprehensive algorithmhardware…

分布式、并行与集群计算 · 计算机科学 2026-02-11 Jie Kong , Wei Wang , Jiehan Zhou , Chen Yu

Mixed Integer Linear Programming (MILP) can be considered the backbone of the modern power system optimization process, with a large application spectrum, from Unit Commitment and Optimal Transmission Switching to verifying Neural Networks…

量子物理 · 物理学 2024-04-17 Petros Ellinas , Samuel Chevalier , Spyros Chatzivasileiadis

Low-Rank Adaptation (LoRA) has emerged as a popular parameter-efficient fine-tuning (PEFT) method for Large Language Models (LLMs), yet it still incurs notable overhead and suffers from parameter interference in multi-task scenarios. We…

机器学习 · 计算机科学 2025-08-05 Juzheng Zhang , Jiacheng You , Ashwinee Panda , Tom Goldstein