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While normalization techniques are widely used in deep learning, their theoretical understanding remains relatively limited. In this work, we establish the benefits of (generalized) weight normalization (WN) applied to the overparameterized…

机器学习 · 计算机科学 2025-10-02 Yudong Wei , Liang Zhang , Bingcong Li , Niao He

Many machine learning tasks involve learning functions that are known to be invariant or equivariant to certain symmetries of the input data. However, it is often challenging to design neural network architectures that respect these…

机器学习 · 计算机科学 2022-03-17 Omri Puny , Matan Atzmon , Heli Ben-Hamu , Ishan Misra , Aditya Grover , Edward J. Smith , Yaron Lipman

In Transformer models, non-GEMM (non-General Matrix Multiplication) operations -- especially Softmax and Layer Normalization (LayerNorm) -- often dominate hardware cost due to their nonlinear nature. To address this, previous approximation…

硬件体系结构 · 计算机科学 2026-04-28 Dawon Choi , Hana Kim , Ji-Hoon Kim

Normalizing Flows (NFs) are widely used in deep generative models for their exact likelihood estimation and efficient sampling. However, they require substantial memory since the latent space matches the input dimension. Multi-scale…

机器学习 · 计算机科学 2025-12-11 Wei Chen , Shian Du , Shigui Li , Delu Zeng , John Paisley

Convolutional neural networks (CNNs) often perform well, but their stability is poorly understood. To address this problem, we consider the simple prototypical problem of signal denoising, where classical approaches such as nonlinear…

机器学习 · 计算机科学 2020-06-09 Tobias Alt , Joachim Weickert , Pascal Peter

Incorporating equivariance to symmetry groups as a constraint during neural network training can improve performance and generalization for tasks exhibiting those symmetries, but such symmetries are often not perfectly nor explicitly…

机器学习 · 计算机科学 2023-02-09 Kaitlin Maile , Dennis G. Wilson , Patrick Forré

We introduce a paradigm for nonlocal sparsity reinforced deep convolutional neural network denoising. It is a combination of a local multiscale denoising by a convolutional neural network (CNN) based denoiser and a nonlocal denoising based…

图像与视频处理 · 电气工程与系统科学 2018-08-15 Cristóvão Cruz , Alessandro Foi , Vladimir Katkovnik , Karen Egiazarian

Layer normalization (LN) is a fundamental component in modern deep learning, but its per-sample centering and scaling introduce non-negligible inference overhead. RMSNorm improves efficiency by removing the centering operation, yet this may…

机器学习 · 计算机科学 2026-05-15 Yuxin Guo , Yihao Yue , Yunhao Ni , Yizhou Ruan , Jie Luo , Wenjun Wu , Lei Huang

Interferometric phase (InPhase) imaging is an important part of many present-day coherent imaging technologies. Often in such imaging techniques, the acquired images, known as interferograms, suffer from two major degradations: 1) phase…

信号处理 · 电气工程与系统科学 2019-11-25 Joshin P. Krishnan , Mário A. T. Figueiredo , José M. Bioucas-Dias

Equivariances provide useful inductive biases in neural network modeling, with the translation equivariance of convolutional neural networks being a canonical example. Equivariances can be embedded in architectures through weight-sharing…

机器学习 · 计算机科学 2022-11-15 Tycho F. A. van der Ouderaa , David W. Romero , Mark van der Wilk

Batch normalization (BN) has become a de facto standard for training deep convolutional networks. However, BN accounts for a significant fraction of training run-time and is difficult to accelerate, since it is a memory-bandwidth bounded…

计算机视觉与模式识别 · 计算机科学 2017-10-10 Igor Gitman , Boris Ginsburg

Joint image filters are used to transfer structural details from a guidance picture used as a prior to a target image, in tasks such as enhancing spatial resolution and suppressing noise. Previous methods based on convolutional neural…

计算机视觉与模式识别 · 计算机科学 2020-10-22 Beomjun Kim , Jean Ponce , Bumsub Ham

Bayesian Neural Networks (BayNNs) naturally provide uncertainty in their predictions, making them a suitable choice in safety-critical applications. Additionally, their realization using memristor-based in-memory computing (IMC)…

机器学习 · 计算机科学 2024-01-24 Soyed Tuhin Ahmed , Kamal Danouchi , Guillaume Prenat , Lorena Anghel , Mehdi B. Tahoori

Covariance-based data processing is widespread across signal processing and machine learning applications due to its ability to model data interconnectivities and dependencies. However, harmful biases in the data may become encoded in the…

机器学习 · 计算机科学 2025-01-15 Andrea Cavallo , Madeline Navarro , Santiago Segarra , Elvin Isufi

Training neural networks is an optimization problem, and finding a decent set of parameters through gradient descent can be a difficult task. A host of techniques has been developed to aid this process before and during the training phase.…

机器学习 · 计算机科学 2020-08-19 Divya Gaur , Joachim Folz , Andreas Dengel

Our universe is homogeneous and isotropic, and its perturbations obey translation and rotation symmetry. In this work we develop Translation and Rotation Equivariant Normalizing Flow (TRENF), a generative Normalizing Flow (NF) model which…

宇宙学与河外天体物理 · 物理学 2022-08-03 Biwei Dai , Uros Seljak

Equivariance encodes known symmetries into neural networks, often enhancing generalization. However, equivariant networks cannot break symmetries: the output of an equivariant network must, by definition, have at least the same…

机器学习 · 计算机科学 2025-03-31 Hannah Lawrence , Vasco Portilheiro , Yan Zhang , Sékou-Oumar Kaba

The Normalizing Flow (NF) models a general probability density by estimating an invertible transformation applied on samples drawn from a known distribution. We introduce a new type of NF, called Deep Diffeomorphic Normalizing Flow (DDNF).…

机器学习 · 统计学 2018-11-26 Hadi Salman , Payman Yadollahpour , Tom Fletcher , Kayhan Batmanghelich

Convolutional neural networks (CNNs) show outstanding performance in many image processing problems, such as image recognition, object detection and image segmentation. Semantic segmentation is a very challenging task that requires…

计算机视觉与模式识别 · 计算机科学 2019-07-12 Fan Jia , Jun Liu , Xue-cheng Tai

Quantization is essential to simplify DNN inference in edge applications. Existing uniform and non-uniform quantization methods, however, exhibit an inherent conflict between the representing range and representing resolution, and thereby…

信号处理 · 电气工程与系统科学 2020-09-29 Liu Fangxin , Zhao Wenbo , Wang Yanzhi , Dai Changzhi , Jiang Li