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In solving optimization problems, objective functions generally need to be minimized or maximized. However, objective functions cannot always be formulated explicitly in a mathematical form for complicated problem settings. Although several…

Statistical Mechanics · Physics 2021-07-20 Ami S. Koshikawa , Masayuki Ohzeki , Tadashi Kadowaki , Kazuyuki Tanaka

Traditional methods for handling (inequality) constraints in the Quantum Approximate Optimization Ansatz (QAOA) typically rely on penalty terms and slack variables, which increase problem complexity and expand the search space. More…

Quantum Physics · Physics 2025-12-04 David Bucher , Jonas Stein , Sebastian Feld , Claudia Linnhoff-Popien

Flexible Job Shop Scheduling (FJSSP) is a complex optimization problem crucial for real-world process scheduling in manufacturing. Efficiently solving such problems is vital for maintaining competitiveness. This paper introduces Quantum…

Quantum Physics · Physics 2023-12-07 Philipp Schworm , Xiangquian Wu , Matthias Klar , Moritz Glatt , Jan C. Aurich

Bayesian optimization (BO) conventionally relies on handcrafted acquisition functions (AFs) to sequentially determine the sample points. However, it has been widely observed in practice that the best-performing AF in terms of regret can…

Machine Learning · Computer Science 2021-06-09 Bing-Jing Hsieh , Ping-Chun Hsieh , Xi Liu

Given the limitations of backpropagation, perturbation-based gradient computation methods have recently gained focus for learning with only forward passes, also referred to as queries. Conventional forward learning consumes enormous queries…

Machine Learning · Computer Science 2025-03-11 Tao Ren , Zishi Zhang , Jinyang Jiang , Guanghao Li , Zeliang Zhang , Mingqian Feng , Yijie Peng

In various practical situations, matrix factorization methods suffer from poor data quality, such as high data sparsity and low signal-to-noise ratio (SNR). Here, we consider a matrix factorization problem by utilizing auxiliary…

Machine Learning · Statistics 2026-01-06 Zhiwei Wang , Fa Zhang , Cong Zheng , Xianghong Hu , Mingxuan Cai , Can Yang

This paper describes algorithms for nonnegative matrix factorization (NMF) with the beta-divergence (beta-NMF). The beta-divergence is a family of cost functions parametrized by a single shape parameter beta that takes the Euclidean…

Machine Learning · Computer Science 2011-03-09 Cédric Févotte , Jérôme Idier

In this work, we first propose a parallel batch switching algorithm called Small-Batch Queue-Proportional Sampling (SB-QPS). Compared to other batch switching algorithms, SB-QPS significantly reduces the batch size without sacrificing the…

Networking and Internet Architecture · Computer Science 2020-10-20 Jingfan Meng , Long Gong , Jun , Xu

Multiresolution Matrix Factorization (MMF) was recently introduced as an alternative to the dominant low-rank paradigm in order to capture structure in matrices at multiple different scales. Using ideas from multiresolution analysis (MRA),…

Numerical Analysis · Mathematics 2019-10-14 Pramod Kaushik Mudrakarta , Shubhendu Trivedi , Risi Kondor

Integer factorization is a significant problem, with implications for the security of widely-used cryptographic schemes. No efficient classical algorithm for polynomial-time integer factorization has been found despite extensive research.…

Constraint handling remains a key bottleneck in quantum combinatorial optimization. While slack-variable-based encodings are straightforward, they significantly increase qubit counts and circuit depth, challenging the scalability of quantum…

Quantum Physics · Physics 2025-08-12 Monit Sharma , Hoong Chuin Lau

We revisit the task of releasing marginal queries under differential privacy with additive (correlated) Gaussian noise. We first give a construction for answering arbitrary workloads of weighted marginal queries, over arbitrary domains. Our…

Data Structures and Algorithms · Computer Science 2025-12-29 Christian Janos Lebeda , Aleksandar Nikolov , Haohua Tang

Portfolio optimization is one of the most studied problems for demonstrating the near-term applications of quantum computing. However, large-scale problems cannot be solved on today's quantum hardware. In this work, we extend upon a study…

Quantum Physics · Physics 2023-05-03 Naman Jain , M Girish Chandra

Federated Learning (FL) is a decentralized model training approach that preserves data privacy but struggles with low efficiency. Quantization, a powerful training optimization technique, has been widely explored for integration into FL.…

Machine Learning · Computer Science 2025-05-20 Zihao Zheng , Ziyao Wang , Xiuping Cui , Maoliang Li , Jiayu Chen , Yun , Liang , Ang Li , Xiang Chen

Image quality assessment (IQA) is very important for both end-users and service providers since a high-quality image can significantly improve the user's quality of experience (QoE) and also benefit lots of computer vision algorithms. Most…

Multimedia · Computer Science 2023-04-28 Wei Sun , Xiongkuo Min , Danyang Tu , Guangtao Zhai , Siwei Ma

Constrained combinatorial optimization with strict linear constraints underpins applications in drug discovery, power grids, logistics, and finance, yet remains computationally demanding for classical algorithms, especially at large scales.…

Quantum Physics · Physics 2026-04-07 Yajie Hao , Qiming Ding , Xiao Yuan , Xiaoting Wang

Mixed discrete-continuous optimization is central to engineering design, where discrete choices interact with continuous fields. These problems are difficult due to high-dimensional, complex search spaces. To tackle them, Quantum Annealing…

Computational Engineering, Finance, and Science · Computer Science 2026-03-19 Fabian Key , Lukas Freinberger , Mayu Muramatsu , Norbert Hosters

In many applications, ranging from logistics to engineering, a designer is faced with a sequence of optimization tasks for which the objectives are in the form of black-box functions that are costly to evaluate. Furthermore, higher-fidelity…

Machine Learning · Computer Science 2025-01-09 Yunchuan Zhang , Sangwoo Park , Osvaldo Simeone

Federated learning (FL) often suffers from performance degradation due to key challenges such as data heterogeneity and communication constraints. To address these limitations, we present a novel FL framework called FedWSQ, which integrates…

Machine Learning · Computer Science 2025-07-23 Seung-Wook Kim , Seongyeol Kim , Jiah Kim , Seowon Ji , Se-Ho Lee

Managing stock efficiently remains a core issue in modern logistics, where companies must reconcile cost efficiency with dependable service despite unpredictable market conditions. Conventional models often overlook the direct connection…

Optimization and Control · Mathematics 2026-04-14 Tianxiao Sun , Noah Schwarzkopf