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Deep declarative networks and other recent related works have shown how to differentiate the solution map of a (continuous) parametrized optimization problem, opening up the possibility of embedding mathematical optimization problems into…

机器学习 · 计算机科学 2022-02-28 Stephen Gould , Dylan Campbell , Itzik Ben-Shabat , Chamin Hewa Koneputugodage , Zhiwei Xu

Tensor decomposition has been widely used in machine learning and high-volume data analysis. However, large-scale tensor factorization often consumes huge memory and computing cost. Meanwhile, modernized computing hardware such as tensor…

最优化与控制 · 数学 2022-09-12 Zi Yang , Junnan Shan , Zheng Zhang

Despite a lack of theoretical understanding, deep neural networks have achieved unparalleled performance in a wide range of applications. On the other hand, shallow representation learning with component analysis is associated with rich…

机器学习 · 计算机科学 2018-03-20 Calvin Murdock , Ming-Fang Chang , Simon Lucey

Learned image compression sits at the intersection of machine learning and image processing. With advances in deep learning, neural network-based compression methods have emerged. In this process, an encoder maps the image to a…

计算机视觉与模式识别 · 计算机科学 2025-09-15 Fabien Allemand , Attilio Fiandrotti , Sumanta Chaudhuri , Alaa Eddine Mazouz

Tensor decomposition is a fundamental technique widely applied in signal processing, machine learning, and various other fields. However, traditional tensor decomposition methods encounter limitations when jointly analyzing multi-block…

机器学习 · 计算机科学 2024-06-27 Xiulin Wang , Jing Liu , Fengyu Cong

Deep Neural Network (DNN) has gained unprecedented performance due to its automated feature extraction capability. This high order performance leads to significant incorporation of DNN models in different Internet of Things (IoT)…

机器学习 · 计算机科学 2020-10-09 Rahul Mishra , Hari Prabhat Gupta , Tanima Dutta

Deep networks can be trained to map images into a low-dimensional latent space. In many cases, different images in a collection are articulated versions of one another; for example, same object with different lighting, background, or pose.…

计算机视觉与模式识别 · 计算机科学 2023-03-14 Rakib Hyder , M. Salman Asif

The state-of-the-art deep neural networks (DNNs) have been widely applied for various real-world applications, and achieved significant performance for cognitive problems. However, the increment of DNNs' width and depth in architecture…

机器学习 · 计算机科学 2021-11-15 Xiao Peng Li , Qi Liu , Hing Cheung So

Spectral Embedding (SE) has often been used to map data points from non-linear manifolds to linear subspaces for the purpose of classification and clustering. Despite significant advantages, the subspace structure of data in the original…

计算机视觉与模式识别 · 计算机科学 2023-05-16 Hira Yaseen , Arif Mahmood

The recent advances in deep neural networks (DNNs) make them attractive for embedded systems. However, it can take a long time for DNNs to make an inference on resource-constrained computing devices. Model compression techniques can address…

机器学习 · 计算机科学 2018-10-23 Qing Qin , Jie Ren , Jialong Yu , Ling Gao , Hai Wang , Jie Zheng , Yansong Feng , Jianbin Fang , Zheng Wang

Tensor networks have in recent years emerged as the powerful tools for solving the large-scale optimization problems. One of the most popular tensor network is tensor train (TT) decomposition that acts as the building blocks for the…

数值分析 · 计算机科学 2016-06-20 Qibin Zhao , Guoxu Zhou , Shengli Xie , Liqing Zhang , Andrzej Cichocki

Unlike 2D raster images, there is no single dominant representation for 3D visual data processing. Different formats like point clouds, meshes, or implicit functions each have their strengths and weaknesses. Still, grid representations such…

计算机视觉与模式识别 · 计算机科学 2022-10-06 Mikhail Usvyatsov , Rafael Ballester-Rippoll , Lina Bashaeva , Konrad Schindler , Gonzalo Ferrer , Ivan Oseledets

$\rm{SO}(3)$-equivariant networks are the dominant models for machine learning interatomic potentials (MLIPs). The key operation of such networks is the Clebsch-Gordan (CG) tensor product, which is computationally expensive. To accelerate…

Higher-order tensors have received increased attention across science and engineering. While most tensor decomposition methods are developed for a single tensor observation, scientific studies often collect side information, in the form of…

统计方法学 · 统计学 2021-10-29 Jiaxin Hu , Chanwoo Lee , Miaoyan Wang

It is widely believed that the backpropagation algorithm is essential for learning good feature detectors in early layers of artificial neural networks, so that these detectors are useful for the task performed by the higher layers of that…

机器学习 · 计算机科学 2019-08-30 Dmitry Krotov , John Hopfield

Tensor rematerialization allows the training of deep neural networks (DNNs) under limited memory budgets by checkpointing the models and recomputing the evicted tensors as needed. However, the existing tensor rematerialization techniques…

机器学习 · 计算机科学 2023-11-02 Jianhao Zhang , Shihan Ma , Peihong Liu , Jinhui Yuan

While post-training model compression can greatly reduce the inference cost of a deep neural network, uncompressed training still consumes a huge amount of hardware resources, run-time and energy. It is highly desirable to directly train a…

机器学习 · 计算机科学 2021-10-05 Cole Hawkins , Xing Liu , Zheng Zhang

TensorDash is a hardware level technique for enabling data-parallel MAC units to take advantage of sparsity in their input operand streams. When used to compose a hardware accelerator for deep learning, TensorDash can speedup the training…

硬件体系结构 · 计算机科学 2022-03-28 Mostafa Mahmoud , Isak Edo , Ali Hadi Zadeh , Omar Mohamed Awad , Gennady Pekhimenko , Jorge Albericio , Andreas Moshovos

Tensor Networks (TN) offer a powerful framework to efficiently represent very high-dimensional objects. TN have recently shown their potential for machine learning applications and offer a unifying view of common tensor decomposition models…

机器学习 · 计算机科学 2021-06-24 Meraj Hashemizadeh , Michelle Liu , Jacob Miller , Guillaume Rabusseau

Eigendecomposition (ED) is widely used in deep networks. However, the backpropagation of its results tends to be numerically unstable, whether using ED directly or approximating it with the Power Iteration method, particularly when dealing…

机器学习 · 计算机科学 2019-06-28 Wei Wang , Zheng Dang , Yinlin Hu , Pascal Fua , Mathieu Salzmann