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We introduce \emph{coarse scrambling}, a novel randomization for digital sequences that permutes blocks of digits in a mixed-radix representation. This construction is designed to preserve the powerful $(0,\boldsymbol{e},d)$-sequence…

Numerical Analysis · Mathematics 2025-10-03 Kosuke Suzuki

In this paper we report a new promising idea on the design and manufacturing of ply composite structures, tailored to exhibit maximum stiffness under given weight constraints and loading conditions. It is based on the idea behind an…

Computational Physics · Physics 2020-02-26 Igor A. Ostanin

Adaptive Resonance Theory (ART) is considered as an effective approach for realizing continual learning thanks to its ability to handle the plasticity-stability dilemma. In general, however, the clustering performance of ART-based…

Machine Learning · Computer Science 2022-07-08 Naoki Masuyama , Narito Amako , Yuna Yamada , Yusuke Nojima , Hisao Ishibuchi

This paper proposes a supervised classification algorithm capable of continual learning by utilizing an Adaptive Resonance Theory (ART)-based growing self-organizing clustering algorithm. The ART-based clustering algorithm is theoretically…

Machine Learning · Computer Science 2024-10-04 Naoki Masuyama , Yusuke Nojima , Farhan Dawood , Zongying Liu

We investigate the scrambling of information in a hierarchical star-topology system using out-of-time-ordered correlation (OTOC) functions. The system consists of a central qubit directly interacting with a set of satellite qubits, which in…

Quantum Physics · Physics 2019-06-07 Deepak Khurana , V. R. Krithika , T. S. Mahesh

We introduce the Stochastic Monotone Aggregated Root-Finding (SMART) algorithm, a new randomized operator-splitting scheme for finding roots of finite sums of operators. These algorithms are similar to the growing class of incremental…

Optimization and Control · Mathematics 2016-06-13 Damek Davis

Traditional SLAM algorithms are typically based on artificial features, which lack high-level information. By introducing semantic information, SLAM can own higher stability and robustness rather than purely hand-crafted features. However,…

Computer Vision and Pattern Recognition · Computer Science 2022-09-16 Xianwei Meng , Bonian Li

Transfer learning is an essential tool for improving the performance of primary tasks by leveraging information from auxiliary data resources. In this work, we propose Adaptive Robust Transfer Learning (ART), a flexible pipeline of…

Machine Learning · Statistics 2023-05-02 Boxiang Wang , Yunan Wu , Chenglong Ye

Spatially Embedded Random Networks such as the Waxman random graph have been used in a variety of settings for synthesizing networks. However, little thought has been put into fast generation of these networks. Existing techniques are…

Data Structures and Algorithms · Computer Science 2015-12-14 Eric Parsonage , Matthew Roughan

Quantum generative modeling, where the Born rule naturally defines probability distributions through measurement of parameterized quantum states, is a promising near-term application of quantum computing. We propose a Quantum Scrambling…

Quantum Physics · Physics 2026-02-20 Marcin Płodzień

Attention mechanisms and non-local mean operations in general are key ingredients in many state-of-the-art deep learning techniques. In particular, the Transformer model based on multi-head self-attention has recently achieved great success…

Machine Learning · Computer Science 2019-05-27 Dan A. Calian , Peter Roelants , Jacques Cali , Ben Carr , Krishna Dubba , John E. Reid , Dell Zhang

Random reshuffling, which randomly permutes the dataset each epoch, is widely adopted in model training because it yields faster convergence than with-replacement sampling. Recent studies indicate greedily chosen data orderings can further…

Machine Learning · Computer Science 2023-01-05 Yucheng Lu , Wentao Guo , Christopher De Sa

We show how to support efficient back traversal in a unidirectional list, using small memory and with essentially no slowdown in forward steps. Using $O(\log n)$ memory for a list of size $n$, the $i$'th back-step from the farthest point…

Data Structures and Algorithms · Computer Science 2009-09-29 Yossi Matias , Ely Porat

Most semi-supervised learning (SSL) models entail complex structures and iterative training processes as well as face difficulties in interpreting their predictions to users. To address these issues, this paper proposes a new interpretable…

Neural and Evolutionary Computing · Computer Science 2023-06-26 Farhad Pourpanah , Chee Peng Lim , Ali Etemad , Q. M. Jonathan Wu

We present a new self-supervised machine learning approach for symbolic simplification of complex mathematical expressions. Training data is generated by scrambling simple expressions and recording the inverse operations, creating oracle…

High Energy Physics - Theory · Physics 2026-04-14 David Shih

Adaptive sampling algorithms are modern and efficient methods that dynamically adjust the sample size throughout the optimization process. However, they may encounter difficulties in risk-averse settings, particularly due to the challenge…

Optimization and Control · Mathematics 2025-02-17 Sandra Pieraccini , Tommaso Vanzan

Frequently, randomly organized data is needed to avoid an anomalous operation of other algorithms and computational processes. An analogy is that a deck of cards is ordered within the pack, but before a game of poker or solitaire the deck…

Data Structures and Algorithms · Computer Science 2008-11-24 William F. Gilreath

Scrambling, a process in which quantum information spreads over a complex quantum system becoming inaccessible to simple probes, happens in generic chaotic quantum many-body systems, ranging from spin chains, to metals, even to black holes.…

Quantum Physics · Physics 2020-02-10 Shenglong Xu , Brian Swingle

Clustering in stationary and nonstationary settings, where data distributions remain static or evolve over time, requires models that can adapt to distributional shifts while preserving previously learned cluster structures. This paper…

Machine Learning · Computer Science 2025-12-09 Naoki Masuyama , Yuichiro Toda , Yusuke Nojima , Hisao Ishibuchi

In general, a similarity threshold (i.e., a vigilance parameter) for a node learning process in Adaptive Resonance Theory (ART)-based algorithms has a significant impact on clustering performance. In addition, an edge deletion threshold in…

Neural and Evolutionary Computing · Computer Science 2026-05-12 Naoki Masuyama , Takanori Takebayashi , Yusuke Nojima , Chu Kiong Loo , Hisao Ishibuchi , Stefan Wermter
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