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Tensor train (TT) representation has achieved tremendous success in visual data completion tasks, especially when it is combined with tensor folding. However, folding an image or video tensor breaks the original data structure, leading to…

信号处理 · 电气工程与系统科学 2025-09-25 Le Xu , Lei Cheng , Ngai Wong , Yik-Chung Wu

The recent success of implicit neural scene representations has presented a viable new method for how we capture and store 3D scenes. Unlike conventional 3D representations, such as point clouds, which explicitly store scene properties in…

计算机视觉与模式识别 · 计算机科学 2021-01-19 Amit Kohli , Vincent Sitzmann , Gordon Wetzstein

Tensor train (TT) format is a common approach for computationally efficient work with multidimensional arrays, vectors, matrices, and discretized functions in a wide range of applications, including computational mathematics and machine…

数值分析 · 数学 2022-09-30 Andrei Chertkov , Gleb Ryzhakov , Georgii Novikov , Ivan Oseledets

Due to the explosive growth of large-scale data sets, tensors have been a vital tool to analyze and process high-dimensional data. Different from the matrix case, tensor decomposition has been defined in various formats, which can be…

最优化与控制 · 数学 2023-12-27 Rachel Grotheer , Shuang Li , Anna Ma , Deanna Needell , Jing Qin

With the increasing consumption of 3D displays and virtual reality, multi-view video has become a promising format. However, its high resolution and multi-camera shooting result in a substantial increase in data volume, making storage and…

计算机视觉与模式识别 · 计算机科学 2023-11-30 Chen Zhu , Guo Lu , Bing He , Rong Xie , Li Song

We propose tensorial neural networks (TNNs), a generalization of existing neural networks by extending tensor operations on low order operands to those on high order ones. The problem of parameter learning is challenging, as it corresponds…

机器学习 · 统计学 2018-12-11 Jiahao Su , Jingling Li , Bobby Bhattacharjee , Furong Huang

Localizing an image wrt. a 3D scene model represents a core task for many computer vision applications. An increasing number of real-world applications of visual localization on mobile devices, e.g., Augmented Reality or autonomous robots…

计算机视觉与模式识别 · 计算机科学 2019-04-23 Federico Camposeco , Andrea Cohen , Marc Pollefeys , Torsten Sattler

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…

计算机视觉与模式识别 · 计算机科学 2024-12-04 Jinzhi Zhang , Feng Xiong , Mu Xu

The low-rank tensor approximation is very promising for the compression of deep neural networks. We propose a new simple and efficient iterative approach, which alternates low-rank factorization with a smart rank selection and fine-tuning.…

The widespread use of multisensor technology and the emergence of big datasets have created the need to develop tools to reduce, approximate, and classify large and multimodal data such as higher-order tensors. While early approaches…

数值分析 · 计算机科学 2018-07-03 Alp Ozdemir , Ali Zare , Mark A. Iwen , Selin Aviyente

The tensor-train (TT) decomposition is widely used to compress large tensors into a more compact form by exploiting their inherent data structures. A fundamental approach for constructing the TT format is the well-known TT-SVD method, which…

数值分析 · 数学 2026-05-26 Yuchao Wang , Maolin Che , Yimin Wei

Convolutional neural networks (CNNs) are among the most widely used machine learning models for computer vision tasks, such as image classification. To improve the efficiency of CNNs, many CNNs compressing approaches have been developed.…

计算机视觉与模式识别 · 计算机科学 2024-08-06 Mateusz Gabor , Rafał Zdunek

Radio-frequency (RF) tomographic imaging is a promising technique for inferring multi-dimensional physical space by processing RF signals traversed across a region of interest. However, conventional RF tomography schemes are generally based…

信息论 · 计算机科学 2017-12-19 Tao Deng , Xiao-Yang Liu , Feng Qian , Anwar Walid

Compression techniques for 3D Gaussian Splatting (3DGS) have recently achieved considerable success in minimizing storage overhead for 3D Gaussians while preserving high rendering quality. Despite the impressive storage reduction, the lack…

计算机视觉与模式识别 · 计算机科学 2025-10-17 Seungjoo Shin , Jaesik Park , Sunghyun Cho

Advanced tensor decomposition, such as Tensor train (TT) and Tensor ring (TR), has been widely studied for deep neural network (DNN) model compression, especially for recurrent neural networks (RNNs). However, compressing convolutional…

计算机视觉与模式识别 · 计算机科学 2021-07-28 Miao Yin , Yang Sui , Siyu Liao , Bo Yuan

Compressed sensing has been discussed separately in spatial and temporal domains. Compressive holography has been introduced as a method that allows 3D tomographic reconstruction at different depths from a single 2D image. Coded exposure is…

计算机视觉与模式识别 · 计算机科学 2018-09-05 Zihao Wang , Leonidas Spinoulas , Kuan He , Huaijin Chen , Lei Tian , Aggelos K. Katsaggelos , Oliver Cossairt

From linear classifiers to neural networks, image classification has been a widely explored topic in mathematics, and many algorithms have proven to be effective classifiers. However, the most accurate classifiers typically have…

机器学习 · 统计学 2017-06-30 Elizabeth Newman , Misha Kilmer , Lior Horesh

We study the low-rank phase retrieval problem, where the objective is to recover a sequence of signals (typically images) given the magnitude of linear measurements of those signals. Existing solutions involve recovering a matrix…

图像与视频处理 · 电气工程与系统科学 2022-02-18 Soo Min Kwon , Xin Li , Anand D. Sarwate

In order to deal with the scaling problem of volumetric map representations we propose spatially local methods for high-ratio compression of 3D maps, represented as truncated signed distance fields. We show that these compressed maps can be…

Lidars are depth measuring sensors widely used in autonomous driving and augmented reality. However, the large volume of data produced by lidars can lead to high costs in data storage and transmission. While lidar data can be represented as…

图像与视频处理 · 电气工程与系统科学 2022-06-07 Xuanyu Zhou , Charles R. Qi , Yin Zhou , Dragomir Anguelov