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A range of quantum algorithms, especially those leveraging variational parameterization and circuit-based optimization, are being studied as alternatives for solving classically intractable combinatorial optimization problems (COPs).…

Quantum Physics · Physics 2025-06-18 Monit Sharma , Hoong Chuin Lau

This paper addresses the transmission network expansion planning problem considering storage units under uncertain demand and generation capacity. A two-stage adaptive robust optimization framework is adopted whereby short- and long-term…

Optimization and Control · Mathematics 2021-01-19 Álvaro García-Cerezo , Luis Baringo , Raquel García-Bertrand

The structure of many real-world optimization problems includes minimization of a nonlinear (or quadratic) functional subject to bound and singly linear constraints (in the form of either equality or bilateral inequality) which are commonly…

Optimization and Control · Mathematics 2010-05-19 Ruhollah Tavakoli

Constrained submodular maximization problems encompass a wide variety of applications, including personalized recommendation, team formation, and revenue maximization via viral marketing. The massive instances occurring in modern day…

Data Structures and Algorithms · Computer Science 2024-02-20 Georgios Amanatidis , Federico Fusco , Philip Lazos , Stefano Leonardi , Rebecca Reiffenhäuser

Optimal modulation (OM) schemes for Gaussian channels with peak and average power constraints are known to require nonuniform probability distributions over signal points, which presents practical challenges. An established way to map…

Information Theory · Computer Science 2022-11-01 Basak Ozaydin , Muriel Médard , Ken Duffy

Wideband communication receivers often deal with the problems of detecting weak signals from distant sources received together with strong nearby interferers. When the techniques of random modulation are used in communication system…

Information Theory · Computer Science 2018-11-15 Dian Mo , Marco F. Duarte

The Quantum Approximate Optimization Algorithm (QAOA) is expected to offer advantages over classical approaches when solving combinatorial optimization problems in the Noisy Intermediate-Scale Quantum (NISQ) era. In its standard…

Quantum Physics · Physics 2026-03-06 Arkadiusz Wołk , Karol Capała , Katarzyna Rycerz

Guessing Random Additive Noise Decoding (GRAND) and its variants, known for their near-maximum likelihood performance, have been introduced in recent years. One such variant, Segmented GRAND, reduces decoding complexity by generating only…

Information Theory · Computer Science 2025-12-19 Lukas Rapp , Jiewei Feng , Muriel Médard , Ken R. Duffy

Sampling problems are widely regarded as the task for which quantum computers can most readily provide a quantum advantage. Leveraging this feature, the quantum-enhanced Markov chain Monte Carlo [Layden, D. et al., Nature 619, 282-287…

Quantum Physics · Physics 2026-02-26 Yuichiro Nakano , Ken N. Okada , Keisuke Fujii

We study a Grover-type method for Quadratic Unconstrained Binary Optimization (QUBO) problems. For an $n$-dimensional QUBO problem with $m$ nonzero terms, we construct a marker oracle for such problems with a tuneable parameter, $\Lambda…

Quantum Physics · Physics 2024-10-22 Ákos Nagy , Jaime Park , Cindy Zhang , Atithi Acharya , Alex Khan

We present APQ for efficient deep learning inference on resource-constrained hardware. Unlike previous methods that separately search the neural architecture, pruning policy, and quantization policy, we optimize them in a joint manner. To…

Machine Learning · Computer Science 2020-06-16 Tianzhe Wang , Kuan Wang , Han Cai , Ji Lin , Zhijian Liu , Song Han

Optimization is a crucial task in various industries such as logistics, aviation, manufacturing, chemical, pharmaceutical, and insurance, where finding the best solution to a problem can result in significant cost savings and increased…

The study of quantum computation has been motivated by the hope of finding efficient quantum algorithms for solving classically hard problems. In this context, quantum algorithms by local adiabatic evolution have been shown to solve an…

Quantum Physics · Physics 2009-11-10 Jérémie Roland , Nicolas J. Cerf

This work explores the search for heterogeneous approximate multiplier configurations for neural networks that produce high accuracy and low energy consumption. We discuss the validity of additive Gaussian noise added to accurate neural…

Machine Learning · Computer Science 2022-08-16 Elias Trommer , Bernd Waschneck , Akash Kumar

High sensitivity of neural architecture search (NAS) methods against their input such as step-size (i.e., learning rate) and search space prevents practitioners from applying them out-of-the-box to their own problems, albeit its purpose is…

Machine Learning · Computer Science 2019-05-22 Youhei Akimoto , Shinichi Shirakawa , Nozomu Yoshinari , Kento Uchida , Shota Saito , Kouhei Nishida

The Noise-Directed Adaptive Remapping (NDAR) method utilizes amplitude damping noise to enhance the performance of quantum optimization algorithms. NDAR alternates between exploration by sampling solutions from the quantum circuit and…

Quantum Physics · Physics 2025-04-18 Wai-Hong Tam , Hiromichi Matsuyama , Ryo Sakai , Yu Yamashiro

The main idea in the original Grover search (Phys. Rev. Lett. 79, 325 (1997)) is to single out a target state containing the solution to a search problem by amplifying the amplitude of the state, following the Oracle's job, i.e., a black…

Quantum Physics · Physics 2015-05-13 W. L. Yang , H. Wei , F. Zhou , W. L. Chang , M. Feng

Mobile and edge computing devices for always-on classification tasks require energy-efficient neural network architectures. In this paper we present several changes to neural architecture searches (NAS) that improve the chance of success in…

Audio and Speech Processing · Electrical Eng. & Systems 2023-06-02 Daniel T. Speckhard , Karolis Misiunas , Sagi Perel , Tenghui Zhu , Simon Carlile , Malcolm Slaney

Alternating structure-adapted proximal (ASAP) gradient algorithm (M. Nikolova and P. Tan, SIAM J Optim, 29:2053-2078, 2019) has drawn much attention due to its efficiency in solving nonconvex nonsmooth optimization problems. However, the…

Optimization and Control · Mathematics 2024-06-26 Ying Gao , Chunfeng Cui , Wenxing Zhang , Deren Han

Quantum advantage requires overcoming noise-induced degradation of quantum systems. Conventional methods for reducing noise such as error mitigation face scalability issues in deep circuits. Specifically, noise hampers the extraction of…

Quantum Physics · Physics 2023-12-05 Yonglong Ding , Ruyu Yang
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