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Black-box optimization (BBO) is used in materials design, drug discovery, and hyperparameter tuning in machine learning. The world is experiencing several of these problems. In this review, a factorization machine with quantum annealing or…

Statistical Mechanics · Physics 2026-04-30 Ryo Tamura , Yuya Seki , Yuki Minamoto , Koki Kitai , Yoshiki Matsuda , Shu Tanaka , Koji Tsuda

Factorization machine with quadratic-optimization annealing (FMQA) is a black-box optimization method that combines a factorization machine (FM) surrogate with QUBO-based search by an Ising machine. When FMQA is applied to integer or…

Machine Learning · Computer Science 2026-05-07 Taiga Hayashi , Yuya Seki , Kotaro Terada , Yosuke Mukasa , Shuta Kikuchi , Shu Tanaka

Black-box (BB) optimization problems aim to identify an input that maximizes or minimizes the output of a function (the BB function) whose input-output relationship is unknown. Factorization machine with quadratic-optimization annealing…

Machine Learning · Computer Science 2026-01-27 Mayumi Nakano , Yuya Seki , Shuta Kikuchi , Shu Tanaka

We examined the use of the Ising model as an $L_0$ regularization method for field-aware factorization machines (FFM). This approach improves generalization performance and has the advantage of simultaneously determining the best feature…

Machine Learning · Computer Science 2024-03-06 Yasuharu Okamoto

This paper introduces a technique to enhance the efficiency of quadratic machine learning models, particularly Field-Aware Factorization Machines (FFMs) handling binary data. Our approach strategically reduces model size through optimized…

Materials Science · Physics 2025-03-27 Yasuharu Okamoto

Real-world item recommenders commonly suffer from a persistent cold-start problem which is caused by dynamically changing users and items. In order to overcome the problem, several context-aware recommendation techniques have been recently…

Machine Learning · Computer Science 2016-07-12 Takuya Kitazawa

Quantum computing and machine learning are state-of-the-art technologies that have been investigated intensively in both academia and industry. The hybrid technology of these two ingredients is expected to be a powerful tool to solve…

Quantum Physics · Physics 2026-03-05 Yusuke Hama , Tadashi Kadowaki

This study investigates the application of Factorization Machines with Quantum Annealing (FMQA) to address the crystal structure problem (CSP) in materials science. FMQA is a black-box optimization algorithm that combines machine learning…

Solving continuous variable optimization problems by factorization machine quantum annealing (FMQA) demonstrates the potential of Ising machines to be extended as a solver for integer and real optimization problems. However, the details of…

Quantum Physics · Physics 2024-07-08 Katsuhiro Endo , Kazuaki Z. Takahashi

The rapid development of parameter-efficient fine-tuning methods has noticeably improved the efficiency of adapting large language models. Among these, LoRA has gained widespread popularity due to its strong balance of effectiveness and…

Machine Learning · Computer Science 2026-01-15 Yongfu Xue

Factorization machines (FMs) are machine learning predictive models based on second-order feature interactions and FMs with sparse regularization are called sparse FMs. Such regularizations enable feature selection, which selects the most…

Machine Learning · Statistics 2021-04-02 Kyohei Atarashi , Satoshi Oyama , Masahito Kurihara

Black-box optimization has potential in numerous applications such as hyperparameter optimization in machine learning and optimization in design of experiments. Ising machines are useful for binary optimization problems because variables…

Machine Learning · Computer Science 2022-09-05 Yuya Seki , Ryo Tamura , Shu Tanaka

Kernel methods are widespread in machine learning; however, they are limited by the quadratic complexity of the construction, application, and storage of kernel matrices. Low-rank matrix approximation algorithms are widely used to address…

Machine Learning · Statistics 2021-05-05 Ruoxi Wang , Yingzhou Li , Michael W. Mahoney , Eric Darve

The RNA inverse folding problem aims to identify nucleotide sequences that preferentially adopt a given target secondary structure. While various heuristic and machine learning-based approaches have been proposed, many require a large…

Machine Learning · Computer Science 2026-02-19 Shuta Kikuchi , Shu Tanaka

Factorization machines (FMs) are a powerful tool for regression and classification in the context of sparse observations, that has been successfully applied to collaborative filtering, especially when side information over users or items is…

Machine Learning · Computer Science 2022-12-21 Jill-Jênn Vie , Tomas Rigaux , Hisashi Kashima

Despite the empirical success of Low-Rank Adaptation (LoRA) in fine-tuning pre-trained models, there is little theoretical understanding of how first-order methods with carefully crafted initialization adapt models to new tasks. In this…

Machine Learning · Computer Science 2025-03-11 Ziqing Xu , Hancheng Min , Lachlan Ewen MacDonald , Jinqi Luo , Salma Tarmoun , Enrique Mallada , Rene Vidal

The Expectation-Maximization (EM) algorithm is a commonly used method for finding the maximum likelihood estimates of the parameters in a mixture model via coordinate ascent. A serious pitfall with the algorithm is that in the case of…

Computation · Statistics 2018-08-31 Adrian O'Hagan , Arthur White

We consider the problem of approximating an affinely structured matrix, for example a Hankel matrix, by a low-rank matrix with the same structure. This problem occurs in system identification, signal processing and computer algebra, among…

Numerical Analysis · Mathematics 2014-06-25 Mariya Ishteva , Konstantin Usevich , Ivan Markovsky

Quantum annealing has garnered significant attention as meta-heuristics inspired by quantum physics for combinatorial optimization problems. Among its many applications, nonnegative/binary matrix factorization stands out for its complexity…

Quantum Physics · Physics 2025-01-07 Renichiro Haba , Masayuki Ohzeki , Kazuyuki Tanaka

Advancement in the field of machine learning is unavoidable, but something of major concern is preserving the privacy of the users whose data is being used for training these machine learning algorithms. Federated learning(FL) has emerged…

Machine Learning · Computer Science 2023-11-07 Ishmeet Kaur , Adwaita Janardhan Jadhav
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