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The convolution operator is the fundamental building block of modern convolutional neural networks (CNNs), owing to its simplicity, translational equivariance, and efficient implementation. However, its structure as a fixed, linear,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Simone Cammarasana

We consider Anderson transitions in two-dimensional spinful electron gases subject to random scalar potentials with time-reversal-symmetric spin-mixing tunneling (SMT) and spin-preserving tunneling (SPT) at potential saddle points (PSPs). A…

Mesoscale and Nanoscale Physics · Physics 2018-08-13 Jie Lu , Mei Li , Bin Xi

The change of electric power generation - from synchronous generator (SG) to converter - is generally regarded as the second revolution of power system. Different from rotor swing of SG in traditional grids mainly described by the swing…

Systems and Control · Electrical Eng. & Systems 2025-11-12 Meng Zhan , Miao Han , Yayao Zhang , Hongsheng Xu , Jiabing Hu , Shijie Cheng , Jürgen Kurths

Transformers have achieved extraordinary success in modern machine learning due to their excellent ability to handle sequential data, especially in next-token prediction (NTP) tasks. However, the theoretical understanding of their…

Machine Learning · Computer Science 2024-10-01 Ruiquan Huang , Yingbin Liang , Jing Yang

Diffusion transformers have demonstrated remarkable generation quality, albeit requiring longer training iterations and numerous inference steps. In each denoising step, diffusion transformers encode the noisy inputs to extract the…

Computer Vision and Pattern Recognition · Computer Science 2025-04-10 Shuai Wang , Zhi Tian , Weilin Huang , Limin Wang

This paper extends the concept of generalized polarization tensors (GPTs), which was previously defined for inclusions with homogeneous conductivities, to inhomogeneous conductivity inclusions. We begin by giving two slightly different but…

Analysis of PDEs · Mathematics 2013-07-31 Habib Ammari , Youjun Deng , Hyeonbae Kang , Hyundae Lee

Despite their impressive performance, contemporary neural networks often lack structural safeguards that promote stable learning and interpretable behavior. In this work, we introduce a reformulation of layer-level transformations that…

Machine Learning · Computer Science 2025-08-04 Saleh Nikooroo , Thomas Engel

Precise reconstruction of top quark properties is a challenging task at the Large Hadron Collider due to combinatorial backgrounds and missing information. We introduce a physics-informed neural network architecture called the Covariant…

High Energy Physics - Phenomenology · Physics 2023-07-05 Shikai Qiu , Shuo Han , Xiangyang Ju , Benjamin Nachman , Haichen Wang

Transformer has been adopted to image recognition tasks and shown to outperform CNNs and RNNs while it suffers from high training cost and computational complexity. To address these issues, a hybrid approach has become a recent research…

Machine Learning · Computer Science 2024-10-18 Ikumi Okubo , Keisuke Sugiura , Hiroki Matsutani

Recently, a parallel decoding framework of $G_N$-coset codes was proposed. High throughput is achieved by decoding the independent component polar codes in parallel. Various algorithms can be employed to decode these component codes,…

Information Theory · Computer Science 2020-04-22 Xianbin Wang , Jiajie Tong , Huazi Zhang , Shengchen Dai , Rong Li , Jun Wang

The successful training of deep neural networks requires addressing challenges such as overfitting, numerical instabilities leading to divergence, and increasing variance in the residual stream. A common solution is to apply regularization…

Machine Learning · Computer Science 2025-11-20 Jörg K. H. Franke , Urs Spiegelhalter , Marianna Nezhurina , Jenia Jitsev , Frank Hutter , Michael Hefenbrock

Since transformer was firstly published in 2017, several works have been proposed to optimize it. However, the major structure of transformer remains unchanged, ignoring one of its main intrinsic limitations, which is the same static value…

Machine Learning · Computer Science 2025-12-30 Xiaowei Wang

The linear transform-based tensor nuclear norm (TNN) methods have recently obtained promising results for tensor completion. The main idea of this type of methods is exploiting the low-rank structure of frontal slices of the targeted tensor…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Ben-Zheng Li , Xi-Le Zhao , Teng-Yu Ji , Xiong-Jun Zhang , Ting-Zhu Huang

In the search for neutrinoless double-beta decay, the high-pressure gaseous Time Projection Chamber has a distinct advantage, because the ionization charge tracks produced by particle interactions are extended and the detector captures the…

Data Analysis, Statistics and Probability · Physics 2018-09-10 Pengcheng Ai , Dong Wang , Guangming Huang , Xiangming Sun

Human perceive the 3D world through 2D observations from limited viewpoints. While recent feed-forward generalizable 3D reconstruction models excel at recovering 3D structures from sparse images, their representations are often confined to…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Mochu Xiang , Zhelun Shen , Xuesong Li , Jiahui Ren , Jing Zhang , Chen Zhao , Shanshan Liu , Haocheng Feng , Jingdong Wang , Yuchao Dai

Transformer models and end-to-end learning frameworks are rapidly revolutionizing the field of artificial intelligence. In this work, we apply object detection transformers to analyze charge stability diagrams in semiconductor quantum dot…

Deep CNN-based methods have so far achieved the state of the art results in multi-view 3D object reconstruction. Despite the considerable progress, the two core modules of these methods - multi-view feature extraction and fusion, are…

Computer Vision and Pattern Recognition · Computer Science 2021-03-25 Dan Wang , Xinrui Cui , Xun Chen , Zhengxia Zou , Tianyang Shi , Septimiu Salcudean , Z. Jane Wang , Rabab Ward

Autoregressive transformers have revolutionized high-fidelity image generation. One crucial ingredient lies in the tokenizer, which compresses high-resolution image patches into manageable discrete tokens with a scanning or hierarchical…

Computer Vision and Pattern Recognition · Computer Science 2024-12-04 Jinzhi Zhang , Feng Xiong , Mu Xu

We present TAR3D, a novel framework that consists of a 3D-aware Vector Quantized-Variational AutoEncoder (VQ-VAE) and a Generative Pre-trained Transformer (GPT) to generate high-quality 3D assets. The core insight of this work is to migrate…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Xuying Zhang , Yutong Liu , Yangguang Li , Renrui Zhang , Yufei Liu , Kai Wang , Wanli Ouyang , Zhiwei Xiong , Peng Gao , Qibin Hou , Ming-Ming Cheng

Topological insulators and topological superconductors display various topological phases that are characterized by different Chern numbers or by gapless edge states. In this work we show that various quantum information methods such as the…

Strongly Correlated Electrons · Physics 2015-03-18 T. P. Oliveira , P. D. Sacramento
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