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Deep Neural Networks (DNNs) have performed admirably in classification tasks. However, the characterization of their classification uncertainties, required for certain applications, has been lacking. In this work, we investigate the issue…

机器学习 · 计算机科学 2023-11-28 Yu Pan , Kwo-Sen Kuo , Michael L. Rilee , Hongfeng Yu

Sparse deep learning aims to address the challenge of huge storage consumption by deep neural networks, and to recover the sparse structure of target functions. Although tremendous empirical successes have been achieved, most sparse deep…

机器学习 · 统计学 2020-11-17 Jincheng Bai , Qifan Song , Guang Cheng

Deep learning approaches, known for their ability to model complex relationships and fast execution, are increasingly being applied to solve large optimization problems. However, existing methods often face challenges in simultaneously…

最优化与控制 · 数学 2025-12-16 Zisheng Zhou , Dengyu Zheng , Zirui Chen , Shixiang Chen

Deep neural networks (DNN) have been used to model nonlinear relations between physical quantities. Those DNNs are embedded in physical systems described by partial differential equations (PDE) and trained by minimizing a loss function that…

数值分析 · 数学 2020-02-26 Kailai Xu , Eric Darve

In an attempt to better understand structural benefits and generalization power of deep neural networks, we firstly present a novel graph theoretical formulation of neural network models, including fully connected, residual network (ResNet)…

机器学习 · 计算机科学 2023-05-29 Yuqing Li , Tao Luo , Chao Ma

While deep learning-based classification is generally tackled using standardized approaches, a wide variety of techniques are employed for regression. In computer vision, one particularly popular such technique is that of confidence-based…

机器学习 · 计算机科学 2020-07-21 Fredrik K. Gustafsson , Martin Danelljan , Goutam Bhat , Thomas B. Schön

Weakly-supervised learning is a paradigm for alleviating the scarcity of labeled data by leveraging lower-quality but larger-scale supervision signals. While existing work mainly focuses on utilizing a certain type of weak supervision, we…

机器学习 · 统计学 2019-10-11 Yivan Zhang , Nontawat Charoenphakdee , Masashi Sugiyama

We present a novel approach to system identification (SI) using deep learning techniques. Focusing on parametric system identification (PSI), we use a supervised learning approach for estimating the parameters of discrete and…

系统与控制 · 电气工程与系统科学 2023-06-21 Connor James Stephens , Emmanuel Blazquez

Modern neural network architectures for large-scale learning tasks have substantially higher model complexities, which makes understanding, visualizing and training these architectures difficult. Recent contributions to deep learning…

机器学习 · 计算机科学 2024-10-30 Jayadeva , Himanshu Pant , Mayank Sharma , Abhimanyu Dubey , Sumit Soman , Suraj Tripathi , Sai Guruju , Nihal Goalla

The brain is the perfect place to look for inspiration to develop more efficient neural networks. The inner workings of our synapses and neurons provide a glimpse at what the future of deep learning might look like. This paper serves as a…

神经与进化计算 · 计算机科学 2023-08-15 Jason K. Eshraghian , Max Ward , Emre Neftci , Xinxin Wang , Gregor Lenz , Girish Dwivedi , Mohammed Bennamoun , Doo Seok Jeong , Wei D. Lu

Deep neural networks with lots of parameters are typically used for large-scale computer vision tasks such as image classification. This is a result of using dense matrix multiplications and convolutions. However, sparse computations are…

计算机视觉与模式识别 · 计算机科学 2016-11-22 Suraj Srinivas , Akshayvarun Subramanya , R. Venkatesh Babu

In domains such as health care and finance, shortage of labeled data and computational resources is a critical issue while developing machine learning algorithms. To address the issue of labeled data scarcity in training and deployment of…

机器学习 · 计算机科学 2018-10-16 Otkrist Gupta , Ramesh Raskar

Deep neural networks have recently drawn considerable attention to build and evaluate artificial learning models for perceptual tasks. Here, we present a study on the performance of the deep learning models to deal with global optimization…

神经与进化计算 · 计算机科学 2020-12-18 Hojjat Rakhshani , Lhassane Idoumghar , Soheila Ghambari , Julien Lepagnot , Mathieu Brévilliers

Recurrent neural networks are often used for learning time-series data. Based on a few assumptions we model this learning task as a minimization problem of a nonlinear least-squares cost function. The special structure of the cost function…

人工智能 · 计算机科学 2007-05-23 I. Szita , A. Lorincz

Deep Neural Networks (DNNs) are powerful algorithms that have been proven capable of extracting non-Gaussian information from weak lensing (WL) data sets. Understanding which features in the data determine the output of these nested,…

宇宙学与河外天体物理 · 物理学 2021-04-14 José Manuel Zorrilla Matilla , Manasi Sharma , Daniel Hsu , Zoltán Haiman

Deep neural networks are powerful tools for solving nonlinear problems in science and engineering, but training highly accurate models becomes challenging as problem complexity increases. Non-convex optimization and sensitivity to…

机器学习 · 计算机科学 2026-04-20 Ethan Mulle , Wei Kang , Qi Gong

While it is widely known that neural networks are universal approximators of continuous functions, a less known and perhaps more powerful result is that a neural network with a single hidden layer can approximate accurately any nonlinear…

机器学习 · 计算机科学 2021-11-03 Lu Lu , Pengzhan Jin , George Em Karniadakis

Deep neural networks have shown superior performance in many regimes to remember familiar patterns with large amounts of data. However, the standard supervised deep learning paradigm is still limited when facing the need to learn new…

机器学习 · 计算机科学 2018-11-16 Jing Shi , Jiaming Xu , Yiqun Yao , Bo Xu

We study a special case of the problem of statistical learning without the i.i.d. assumption. Specifically, we suppose a learning method is presented with a sequence of data points, and required to make a prediction (e.g., a classification)…

机器学习 · 计算机科学 2018-05-22 Steve Hanneke , Liu Yang

Deep neural networks bring in impressive accuracy in various applications, but the success often relies on the heavy network architecture. Taking well-trained heavy networks as teachers, classical teacher-student learning paradigm aims to…

机器学习 · 计算机科学 2018-08-01 Tianyu Guo , Chang Xu , Shiyi He , Boxin Shi , Chao Xu , Dacheng Tao