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A proposal for the matrix model formulation of the M-theory on a space with a boundary is given. A general machinery for modding out a symmetry in M(atrix) theory is used for a Z_2 symmetry changing the sign of the X_1 coordinate. The…

High Energy Physics - Theory · Physics 2008-02-03 Lubos Motl

3D scatterplots are a well-established plotting technique that can be used to represent data with three or more dimensions. On paper and computer monitors they are essentially two-dimensional projections of the three-dimensional Cartesian…

Human-Computer Interaction · Computer Science 2026-01-05 Philippos Papaphilippou , Lucy Hederman

We propose a supervised learning algorithm for machine learning applications. Contrary to the model developing in the classical methods, which treat training, validation, and test as separate steps, in the presented approach, there is a…

Machine Learning · Computer Science 2019-09-24 Soheil Mehrabkhani

Imaging sites around the world generate growing amounts of medical scan data with ever more versatile and affordable technology. Large-scale studies acquire MRI for tens of thousands of participants, together with metadata ranging from…

Machine Learning · Computer Science 2024-04-23 Taro Langner

Rotary Positional Embeddings (RoPE) have demonstrated exceptional performance as a positional encoding method, consistently outperforming their baselines. While recent work has sought to extend RoPE to higher-dimensional inputs, many such…

Machine Learning · Computer Science 2025-11-18 Sameeksha Sriram , Ayush Paliwal , Alexander S. Ecker , Chase van de Geijn

Meta-learning, or learning-to-learn, seeks to design algorithms that can utilize previous experience to rapidly learn new skills or adapt to new environments. Representation learning -- a key tool for performing meta-learning -- learns a…

Machine Learning · Computer Science 2022-01-04 Nilesh Tripuraneni , Chi Jin , Michael I. Jordan

This paper surveys the machine learning literature and presents in an optimization framework several commonly used machine learning approaches. Particularly, mathematical optimization models are presented for regression, classification,…

Optimization and Control · Mathematics 2021-01-12 Claudio Gambella , Bissan Ghaddar , Joe Naoum-Sawaya

Convolutional networks are successful due to their equivariance/invariance under translations. However, rotatable data such as images, volumes, shapes, or point clouds require processing with equivariance/invariance under rotations in cases…

Machine Learning · Computer Science 2021-11-23 Luca Della Libera , Vladimir Golkov , Yue Zhu , Arman Mielke , Daniel Cremers

High-throughput data generation methods and machine learning (ML) algorithms have given rise to a new era of computational materials science by learning relationships among composition, structure, and properties and by exploiting such…

The transformer is a neural network component that can be used to learn useful representations of sequences or sets of data-points. The transformer has driven recent advances in natural language processing, computer vision, and…

Machine Learning · Computer Science 2026-01-21 Richard E. Turner

Quaternion neural networks are parameter-efficient and model multidimensional dependencies by representing four related features as a single entity. However, existing quaternion self-attention computes component-wise scores and applies…

Machine Learning · Computer Science 2026-05-26 Shogo Yamauchi , Tohru Nitta , Hideaki Tamori

Many complex robotic manipulation tasks can be decomposed as a sequence of pick and place actions. Training a robotic agent to learn this sequence over many different starting conditions typically requires many iterations or demonstrations,…

Robotics · Computer Science 2024-03-19 Haojie Huang , Owen Howell , Dian Wang , Xupeng Zhu , Robin Walters , Robert Platt

Projecting high-dimensional environment observations into lower-dimensional structured representations can considerably improve data-efficiency for reinforcement learning in domains with limited data such as robotics. Can a single generally…

Bayesian models are a powerful tool for studying complex data, allowing the analyst to encode rich hierarchical dependencies and leverage prior information. Most importantly, they facilitate a complete characterization of uncertainty…

Machine Learning · Statistics 2023-04-25 Steven Winter , Trevor Campbell , Lizhen Lin , Sanvesh Srivastava , David B. Dunson

Robots are increasingly integrated across industries, particularly in healthcare. However, many valuable applications for quadrupedal robots remain overlooked. This research explores the effectiveness of three reinforcement learning…

Robotics · Computer Science 2025-07-18 Emma M. A. Harrison

Machine learning is at the heart of managing the real-world problems associated with massive data. With the success of neural networks on such large-scale problems, more research in machine learning is being conducted now than ever before.…

Machine Learning · Computer Science 2026-02-23 Ryan O'Dowd

The popularity of data augmentation techniques in machine learning has increased in recent years, as they enable the creation of new samples from existing datasets. Rotational augmentation, in particular, has shown great promise by…

Computer Vision and Pattern Recognition · Computer Science 2023-06-13 Unai Muñoz-Aseguinolaza , Basilio Sierra , Naiara Aginako

A modified Gibbs's rotation matrix is derived and the connection with the Euler angles, quaternions, and Cayley$-$Klein parameters is established. As particular cases, the Rodrigues and Gibbs parameterizations of the rotation are obtained.…

General Physics · Physics 2024-01-17 S. I. Kruglov , V. Barzda

Quantum matter, the research field studying phases of matter whose properties are intrinsically quantum mechanical, draws from areas as diverse as hard condensed matter physics, materials science, statistical mechanics, quantum information,…

Computational Physics · Physics 2020-08-21 Juan Carrasquilla

Multirotor UAVs are used for a wide spectrum of civilian and public domain applications. Navigation controllers endowed with different attributes and onboard sensor suites enable multirotor autonomous or semi-autonomous, safe flight,…

Robotics · Computer Science 2024-02-08 Serhat Sönmez , Matthew J. Rutherford , Kimon P. Valavanis