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Deep neural networks are notorious for being sensitive to small well-chosen perturbations, and estimating the regularity of such architectures is of utmost importance for safe and robust practical applications. In this paper, we investigate…

Machine Learning · Statistics 2019-10-28 Kevin Scaman , Aladin Virmaux

In the framework of convolutional neural networks that lie at the heart of deep learning, downsampling is often performed with a max-pooling operation that only retains the element with maximum activation, while completely discarding the…

Computer Vision and Pattern Recognition · Computer Science 2018-04-17 Ashwani Kumar

In this work we introduce Lean Point Networks (LPNs) to train deeper and more accurate point processing networks by relying on three novel point processing blocks that improve memory consumption, inference time, and accuracy: a…

Computer Vision and Pattern Recognition · Computer Science 2020-06-17 Eric-Tuan Le , Iasonas Kokkinos , Niloy J. Mitra

In recent studies, linear recurrent neural networks (LRNNs) have achieved Transformer-level performance in natural language and long-range modeling, while offering rapid parallel training and constant inference cost. With the resurgence of…

Computation and Language · Computer Science 2024-04-10 Ting-Han Fan , Ta-Chung Chi , Alexander I. Rudnicky

Recently, several studies proposed methods to utilize some classes of optimization problems in designing deep neural networks to encode constraints that conventional layers cannot capture. However, these methods are still in their infancy…

Machine Learning · Computer Science 2020-06-16 Younghan Jeon , Minsik Lee , Jin Young Choi

Neural networks, as currently designed, fall short of achieving true logical intelligence. Modern AI models rely on standard neural computation-inner-product-based transformations and nonlinear activations-to approximate patterns from data.…

Artificial Intelligence · Computer Science 2025-02-05 Youngsung Kim

Most convolutional neural networks use some method for gradually downscaling the size of the hidden layers. This is commonly referred to as pooling, and is applied to reduce the number of parameters, improve invariance to certain…

Computer Vision and Pattern Recognition · Computer Science 2018-04-13 Faraz Saeedan , Nicolas Weber , Michael Goesele , Stefan Roth

In many real-world planning problems with factored, mixed discrete and continuous state and action spaces such as Reservoir Control, Heating Ventilation, and Air Conditioning, and Navigation domains, it is difficult to obtain a model of the…

Artificial Intelligence · Computer Science 2020-07-16 Ga Wu , Buser Say , Scott Sanner

In this paper, we introduce "Power Linear Unit" (PoLU) which increases the nonlinearity capacity of a neural network and thus helps improving its performance. PoLU adopts several advantages of previously proposed activation functions.…

Machine Learning · Computer Science 2018-02-02 Yikang Li , Pak Lun Kevin Ding , Baoxin Li

Different techniques have emerged in the deep learning scenario, such as Convolutional Neural Networks, Deep Belief Networks, and Long Short-Term Memory Networks, to cite a few. In lockstep, regularization methods, which aim to prevent…

Machine Learning · Computer Science 2020-07-28 Claudio Filipi Goncalves do Santos , Danilo Colombo , Mateus Roder , João Paulo Papa

We introduce LiPopt, a polynomial optimization framework for computing increasingly tighter upper bounds on the Lipschitz constant of neural networks. The underlying optimization problems boil down to either linear (LP) or semidefinite…

Machine Learning · Computer Science 2020-04-21 Fabian Latorre , Paul Rolland , Volkan Cevher

Designing faster algorithms for solving Mixed-Integer Linear Programming (MILP) problems is highly desired across numerous practical domains, as a vast array of complex real-world challenges can be effectively modeled as MILP formulations.…

Artificial Intelligence · Computer Science 2026-01-23 Ruizhi Liu , Liming Xu , Xulin Huang , Jingyan Sui , Shizhe Ding , Boyang Xia , Chungong Yu , Dongbo Bu

In the context of classification problems, Deep Learning (DL) approaches represent state of art. Many DL approaches are based on variations of standard multi-layer feed-forward neural networks. These are also referred to as deep networks.…

Machine Learning · Computer Science 2023-11-21 Andrea Apicella , Francesco Isgrò , Roberto Prevete

We can compare the expressiveness of neural networks that use rectified linear units (ReLUs) by the number of linear regions, which reflect the number of pieces of the piecewise linear functions modeled by such networks. However,…

Machine Learning · Computer Science 2019-12-17 Thiago Serra , Srikumar Ramalingam

Deep learning models are used to minimize the number of polyps that goes unnoticed by the experts and to accurately segment the detected polyps during interventions. Although state-of-the-art models are proposed, it remains a challenge to…

Image and Video Processing · Electrical Eng. & Systems 2023-03-21 Tugberk Erol , Duygu Sarikaya

Layer normalization (LayerNorm) has been successfully applied to various deep neural networks to help stabilize training and boost model convergence because of its capability in handling re-centering and re-scaling of both inputs and weight…

Machine Learning · Computer Science 2019-10-17 Biao Zhang , Rico Sennrich

Despite their great success in recent years, deep neural networks (DNN) are mainly black boxes where the results obtained by running through the network are difficult to understand and interpret. Compared to e.g. decision trees or bayesian…

Machine Learning · Computer Science 2019-07-02 Jan Niclas Reimann , Andreas Schwung

With the success of deep learning methods in many image processing tasks, deep learning approaches have also been introduced to the phase retrieval problem recently. These approaches are different from the traditional iterative optimization…

Computer Vision and Pattern Recognition · Computer Science 2022-07-29 Qiuliang Ye , Li-Wen Wang , Daniel P. K. Lun

Scheduling flexible sources to promote the integration of renewable generation is one fundamental problem for operating active distribution networks (ADNs). However, existing works are usually based on power flow models, which require…

Optimization and Control · Mathematics 2022-08-09 Ge Chen , Hongcai Zhang , Yonghua Song

Fast data acquisition in Magnetic Resonance Imaging (MRI) is vastly in demand and scan time directly depends on the number of acquired k-space samples. Recently, the deep learning-based MRI reconstruction techniques were suggested to…

Computer Vision and Pattern Recognition · Computer Science 2019-03-20 Ali Pour Yazdanpanah , Onur Afacan , Simon K. Warfield
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