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Deep Neural Networks (DNNs) have shown unparalleled achievements in numerous applications, reflecting their proficiency in managing vast data sets. Yet, their static structure limits their adaptability in ever-changing environments. This…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Yunjie Zhu , Yunhao Chen

We present diffusion-convolutional neural networks (DCNNs), a new model for graph-structured data. Through the introduction of a diffusion-convolution operation, we show how diffusion-based representations can be learned from…

Machine Learning · Computer Science 2016-07-11 James Atwood , Don Towsley

Many application domains, spanning from computational photography to medical imaging, require recovery of high-fidelity images from noisy, incomplete or partial/compressed measurements. State of the art methods for solving these inverse…

Image and Video Processing · Electrical Eng. & Systems 2022-07-13 Xinyi Wei , Hans van Gorp , Lizeth Gonzalez Carabarin , Daniel Freedman , Yonina C. Eldar , Ruud J. G. van Sloun

Vertical mixing parameterizations in ocean models are formulated on the basis of the physical principles that govern turbulent mixing. However, many parameterizations include ad hoc components that are not well constrained by theory or…

Atmospheric and Oceanic Physics · Physics 2024-01-23 Aakash Sane , Brandon G. Reichl , Alistair Adcroft , Laure Zanna

Extraneous variables are variables that are irrelevant for a certain task, but heavily affect the distribution of the available data. In this work, we show that the presence of such variables can degrade the performance of deep-learning…

Machine Learning · Computer Science 2020-02-27 Aakash Kaku , Sreyas Mohan , Avinash Parnandi , Heidi Schambra , Carlos Fernandez-Granda

Detecting out-of-distribution (OOD) data is crucial for robust machine learning systems. Normalizing flows are flexible deep generative models that often surprisingly fail to distinguish between in- and out-of-distribution data: a flow…

Machine Learning · Statistics 2020-06-16 Polina Kirichenko , Pavel Izmailov , Andrew Gordon Wilson

Wavelet scattering networks, which are convolutional neural networks (CNNs) with fixed filters and weights, are promising tools for image analysis. Imposing symmetry on image statistics can improve human interpretability, aid in…

Computer Vision and Pattern Recognition · Computer Science 2021-04-26 Andrew K. Saydjari , Douglas P. Finkbeiner

We propose a novel formulation of deep networks that do not use dot-product neurons and rely on a hierarchy of voting tables instead, denoted as Convolutional Tables (CT), to enable accelerated CPU-based inference. Convolutional layers are…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Shay Dekel , Yosi Keller , Aharon Bar-Hillel

Normalization techniques have only recently begun to be exploited in supervised learning tasks. Batch normalization exploits mini-batch statistics to normalize the activations. This was shown to speed up training and result in better…

Machine Learning · Computer Science 2017-03-08 Mengye Ren , Renjie Liao , Raquel Urtasun , Fabian H. Sinz , Richard S. Zemel

While the authors of Batch Normalization (BN) identify and address an important problem involved in training deep networks-- Internal Covariate Shift-- the current solution has certain drawbacks. Specifically, BN depends on batch statistics…

Machine Learning · Statistics 2016-07-13 Devansh Arpit , Yingbo Zhou , Bhargava U. Kota , Venu Govindaraju

Model pruning has become a useful technique that improves the computational efficiency of deep learning, making it possible to deploy solutions in resource-limited scenarios. A widely-used practice in relevant work assumes that a…

Machine Learning · Computer Science 2018-02-06 Jianbo Ye , Xin Lu , Zhe Lin , James Z. Wang

Current deep learning models for dynamics forecasting struggle with generalization. They can only forecast in a specific domain and fail when applied to systems with different parameters, external forces, or boundary conditions. We propose…

Machine Learning · Computer Science 2022-10-13 Rui Wang , Robin Walters , Rose Yu

Deep convolutional neural networks trained on large datsets have emerged as an intriguing alternative for compressing images and solving inverse problems such as denoising and compressive sensing. However, it has only recently been realized…

Machine Learning · Computer Science 2019-07-09 Reinhard Heckel

In this work, we describe a new approach that uses deep neural networks (DNN) to obtain regularization parameters for solving inverse problems. We consider a supervised learning approach, where a network is trained to approximate the…

Numerical Analysis · Mathematics 2021-04-15 Babak Maboudi Afkham , Julianne Chung , Matthias Chung

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…

Machine Learning · Computer Science 2020-06-09 Tobias Alt , Joachim Weickert , Pascal Peter

We study inverse problems consisting on determining medium properties using the responses to probing waves from the machine learning point of view. Based on the understanding of propagation of waves and their nonlinear interactions, we…

Analysis of PDEs · Mathematics 2018-11-12 Gunther Uhlmann , Yiran Wang

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).…

Machine Learning · Statistics 2018-11-26 Hadi Salman , Payman Yadollahpour , Tom Fletcher , Kayhan Batmanghelich

Deep neural networks are playing an important role in state-of-the-art visual recognition. To represent high-level visual concepts, modern networks are equipped with large convolutional layers, which use a large number of filters and…

Computer Vision and Pattern Recognition · Computer Science 2017-03-06 Yan Wang , Lingxi Xie , Ya Zhang , Wenjun Zhang , Alan Yuille

Modern convolutional networks, incorporating rectifiers and max-pooling, are neither smooth nor convex; standard guarantees therefore do not apply. Nevertheless, methods from convex optimization such as gradient descent and Adam are widely…

Machine Learning · Computer Science 2018-06-07 David Balduzzi , Brian McWilliams , Tony Butler-Yeoman

By stacking layers of convolution and nonlinearity, convolutional networks (ConvNets) effectively learn from low-level to high-level features and discriminative representations. Since the end goal of large-scale recognition is to delineate…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 Peihua Li , Jiangtao Xie , Qilong Wang , Wangmeng Zuo