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We describe the class of convexified convolutional neural networks (CCNNs), which capture the parameter sharing of convolutional neural networks in a convex manner. By representing the nonlinear convolutional filters as vectors in a…

机器学习 · 计算机科学 2016-09-06 Yuchen Zhang , Percy Liang , Martin J. Wainwright

Recently, convolutional neural networks (CNNs) have been used as a powerful tool to solve many problems of machine learning and computer vision. In this paper, we aim to provide insight on the property of convolutional neural networks, as…

机器学习 · 计算机科学 2016-07-20 Wenling Shang , Kihyuk Sohn , Diogo Almeida , Honglak Lee

Deep learning models have become an increasingly preferred option for biometric recognition systems, such as speaker recognition. SincNet, a deep neural network architecture, gained popularity in speaker recognition tasks due to its…

音频与语音处理 · 电气工程与系统科学 2023-06-13 Labib Chowdhury , Mustafa Kamal , Najia Hasan , Nabeel Mohammed

We consider the minimization of submodular functions subject to ordering constraints. We show that this optimization problem can be cast as a convex optimization problem on a space of uni-dimensional measures, with ordering constraints…

机器学习 · 计算机科学 2017-07-31 Francis Bach

The black-box nature of neural networks limits the ability to encode or impose specific structural relationships between inputs and outputs. While various studies have introduced architectures that ensure the network's output adheres to a…

机器学习 · 计算机科学 2025-03-04 Asghar A. Jadoon , D. Thomas Seidl , Reese E. Jones , Jan N. Fuhg

The ability to accurately detect and classify objects at varying pixel sizes in cluttered scenes is crucial to many Navy applications. However, detection performance of existing state-of the-art approaches such as convolutional neural…

计算机视觉与模式识别 · 计算机科学 2017-08-28 JT Turner , Kalyan Moy Gupta , David Aha

Advances in optical and electrophysiological recording technologies have made it possible to record the dynamics of thousands of neurons, opening up new possibilities for interpreting and controlling large neural populations in behaving…

神经元与认知 · 定量生物学 2023-11-20 Fatih Dinc , Adam Shai , Mark Schnitzer , Hidenori Tanaka

The escalating energy demands and parallel-processing bottlenecks of electronic neural networks underscore the need for alternative computing paradigms. Optical neural networks, capitalizing on the inherent parallelism and speed of light…

We introduce the "inverse square root linear unit" (ISRLU) to speed up learning in deep neural networks. ISRLU has better performance than ELU but has many of the same benefits. ISRLU and ELU have similar curves and characteristics. Both…

机器学习 · 计算机科学 2017-11-13 Brad Carlile , Guy Delamarter , Paul Kinney , Akiko Marti , Brian Whitney

Convolutional neural networks (CNNs) allow for parameter sharing and translational equivariance by using convolutional kernels in their linear layers. By restricting these kernels to be SO(3)-steerable, CNNs can further improve parameter…

图像与视频处理 · 电气工程与系统科学 2024-05-20 Ivan Diaz , Mario Geiger , Richard Iain McKinley

We propose a novel approach to image classification inspired by complex nonlinear biological visual processing, whereby classical convolutional neural networks (CNNs) are equipped with learnable higher-order convolutions. Our model…

计算机视觉与模式识别 · 计算机科学 2025-12-03 Simone Azeglio , Olivier Marre , Peter Neri , Ulisse Ferrari

The non-convexity of the artificial neural network (ANN) training landscape brings inherent optimization difficulties. While the traditional back-propagation stochastic gradient descent (SGD) algorithm and its variants are effective in…

机器学习 · 计算机科学 2025-06-18 Yatong Bai , Tanmay Gautam , Somayeh Sojoudi

In this paper, we propose a method for image-set classification based on convex cone models, focusing on the effectiveness of convolutional neural network (CNN) features as inputs. CNN features have non-negative values when using the…

计算机视觉与模式识别 · 计算机科学 2018-06-01 Naoya Sogi , Taku Nakayama , Kazuhiro Fukui

Solving constrained nonlinear optimization problems (CNLPs) is a longstanding problem that arises in various fields, e.g., economics, computer science, and engineering. We propose optimization-informed neural networks (OINN), a deep…

最优化与控制 · 数学 2023-06-27 Dawen Wu , Abdel Lisser

We address the optimization problem in a data-driven variational reconstruction framework, where the regularizer is parameterized by an input-convex neural network (ICNN). While gradient-based methods are commonly used to solve such…

最优化与控制 · 数学 2025-10-24 Matthias J. Ehrhardt , Subhadip Mukherjee , Hok Shing Wong

Surface reconstruction from point clouds is a fundamental problem in the computer vision and graphics community. Recent state-of-the-arts solve this problem by individually optimizing each local implicit field during inference. Without…

计算机视觉与模式识别 · 计算机科学 2021-08-30 Jiapeng Tang , Jiabao Lei , Dan Xu , Feiying Ma , Kui Jia , Lei Zhang

The ever-growing deep learning technologies are making revolutionary changes for modern life. However, conventional computing architectures are designed to process sequential and digital programs, being extremely burdened with performing…

新兴技术 · 计算机科学 2022-12-21 Yuyao Huang , Tingzhao Fu , Honghao Huang , Sigang Yang , Hongwei Chen

Training a Convolutional Neural Network (CNN) to be robust against rotation has mostly been done with data augmentation. In this paper, another progressive vision of research direction is highlighted to encourage less dependence on data…

计算机视觉与模式识别 · 计算机科学 2021-10-22 Sungwon Hwang , Hyungtae Lim , Hyun Myung

Deep learning is currently playing a crucial role toward higher levels of artificial intelligence. This paradigm allows neural networks to learn complex and abstract representations, that are progressively obtained by combining simpler…

音频与语音处理 · 电气工程与系统科学 2019-08-12 Mirco Ravanelli , Yoshua Bengio

In this paper, we use Proximal Cubic regularized Newton Methods (PCNM) to optimize the sum of a smooth convex function and a non-smooth convex function, where we use inexact gradient and Hessian, and an inexact subsolver for the cubic…

最优化与控制 · 数学 2019-02-27 Chaobing Song , Ji Liu , Yong Jiang