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We propose SDORE, a Semi-supervised Deep Sobolev Regressor, for the nonparametric estimation of the underlying regression function and its gradient. SDORE employs deep ReQU neural networks to minimize the empirical risk with gradient norm…

Machine Learning · Statistics 2025-01-31 Zhao Ding , Chenguang Duan , Yuling Jiao , Jerry Zhijian Yang

To have a superior generalization, a deep learning neural network often involves a large size of training sample. With increase of hidden layers in order to increase learning ability, neural network has potential degradation in accuracy.…

Machine Learning · Computer Science 2019-01-01 Lianfa Li , Ying Fang , Jun Wu , Jinfeng Wang

Sufficient dimension reduction is a powerful tool to extract core information hidden in the high-dimensional data and has potentially many important applications in machine learning tasks. However, the existing nonlinear sufficient…

Machine Learning · Computer Science 2022-10-11 Siqi Liang , Yan Sun , Faming Liang

In the wake of the explosive growth in smartphones and cyberphysical systems, there has been an accelerating shift in how data is generated away from centralised data towards on-device generated data. In response, machine learning…

Machine Learning · Computer Science 2021-12-09 Ross Drummond , Mathew C. Turner , Stephen R. Duncan

Deep neural networks (DNN) has received increasing attention in machine learning applications in the last several years. Recently, a non-asymptotic error bound has been developed to measure the performance of the fully connected DNN…

Machine Learning · Statistics 2024-05-15 Kejin Wu , Dimitris N. Politis

In recent years, the development of nanophotonic devices has presented a revolutionary means to manipulate light at nanoscale. Recently, artificial neural networks (ANNs) have displayed powerful ability in the inverse design of nanophotonic…

The large amount of online data and vast array of computing resources enable current researchers in both industry and academia to employ the power of deep learning with neural networks. While deep models trained with massive amounts of data…

Machine Learning · Computer Science 2020-06-15 Shuai Tang , Virginia R. de Sa

Many machine learning applications deal with high dimensional data. To make computations feasible and learning more efficient, it is often desirable to reduce the dimensionality of the input variables by finding linear combinations of the…

Machine Learning · Computer Science 2025-01-30 Wenjing Yang , Yuhong Yang

Regression neural networks (NNs) are most commonly trained by minimizing the mean squared prediction error, which is highly sensitive to outliers and data contamination. Existing robust training methods for regression NNs are often limited…

Machine Learning · Statistics 2026-02-10 Abhik Ghosh , Suryasis Jana

As Earth-observation workloads move toward onboard and edge processing, remote-sensing segmentation models must operate under tight latency and energy constraints. We present SatReg, a regression-based hardware-aware tuning framework for…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Edward Humes , Tinoosh Mohsenin

Developing efficient numerical algorithms for the solution of high dimensional random Partial Differential Equations (PDEs) has been a challenging task due to the well-known curse of dimensionality. We present a new solution framework for…

Machine Learning · Computer Science 2019-10-17 Mohammad Amin Nabian , Hadi Meidani

The goal of supervised representation learning is to construct effective data representations for prediction. Among all the characteristics of an ideal nonparametric representation of high-dimensional complex data, sufficiency, low…

Machine Learning · Computer Science 2022-09-02 Jian Huang , Yuling Jiao , Xu Liao , Jin Liu , Zhou Yu

Neural networks (NNs) can achieved high performance in various fields such as computer vision, and natural language processing. However, deploying NNs in resource-constrained safety-critical systems has challenges due to uncertainty in the…

Machine Learning · Computer Science 2024-01-17 Soyed Tuhin Ahmed

Deep neural networks (DNNs) achieve remarkable predictive performance but remain difficult to interpret, largely due to overparameterization that obscures the minimal structure required for interpretation. Here we introduce DeepIn, a…

Methodology · Statistics 2026-03-26 Zhiyao Tan , Liu Li , Huazhen Lin

Deep neural networks (DNNs) offer significant flexibility and robust performance. This makes them ideal for building not only system models but also advanced neural network controllers (NNCs). However, their high complexity and…

Machine Learning · Computer Science 2025-11-14 Ganesh Sundaram , Jonas Ulmen , Amjad Haider , Daniel Görges

The recent decade has seen an enormous rise in the popularity of deep learning and neural networks. These algorithms have broken many previous records and achieved remarkable results. Their outstanding performance has significantly sped up…

Understanding how the brain responds to sensory inputs is challenging: brain recordings are partial, noisy, and high dimensional; they vary across sessions and subjects and they capture highly nonlinear dynamics. These challenges have led…

Neurons and Cognition · Quantitative Biology 2022-10-03 Omar Chehab , Alexandre Defossez , Jean-Christophe Loiseau , Alexandre Gramfort , Jean-Remi King

Randomized smoothing (RS) has successfully been used to improve the robustness of predictions for deep neural networks (DNNs) by adding random noise to create multiple variations of an input, followed by deciding the consensus. To…

Machine Learning · Computer Science 2024-04-29 Emmanouil Seferis , Stefanos Kollias , Chih-Hong Cheng

Recurrent Neural Networks (RNNs) produce state-of-art performance on many machine learning tasks but their demand on resources in terms of memory and computational power are often high. Therefore, there is a great interest in optimizing the…

Neural and Evolutionary Computing · Computer Science 2017-02-28 Joachim Ott , Zhouhan Lin , Ying Zhang , Shih-Chii Liu , Yoshua Bengio

Large Deep Neural Networks (DNNs) are the backbone of today's artificial intelligence due to their ability to make accurate predictions when being trained on huge datasets. With advancing technologies, such as the Internet of Things,…

Machine Learning · Computer Science 2023-07-14 Mark Deutel , Philipp Woller , Christopher Mutschler , Jürgen Teich
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