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In this work, we revisit Transformer optimization through the lens of second-order geometry and establish a direct connection between architectural design, activation scale, the Hessian matrix, and the maximum tolerable learning rate. We…

Machine Learning · Computer Science 2026-02-03 Marco Chen , Xianbiao Qi , Yelin He , Jiaquan Ye , Rong Xiao

Deep neural networks (DNNs) can be made hardware-efficient by reducing the numerical precision of the weights and activations of the network and by improving the network's resilience to noise. However, this gain in efficiency often comes at…

Deep learning frameworks leverage GPUs to perform massively-parallel computations over batches of many training examples efficiently. However, for certain tasks, one may be interested in performing per-example computations, for instance…

Machine Learning · Computer Science 2020-11-17 Gaspar Rochette , Andre Manoel , Eric W. Tramel

This paper describes a flexible framework for generalized low-rank tensor estimation problems that includes many important instances arising from applications in computational imaging, genomics, and network analysis. The proposed estimator…

Statistics Theory · Mathematics 2021-02-08 Rungang Han , Rebecca Willett , Anru R. Zhang

The energy consumption of Convolutional Neural Networks (CNNs) is a critical factor in deploying deep learning models on resource-limited equipment such as mobile devices and autonomous vehicles. We propose an approach involving…

Computer Vision and Pattern Recognition · Computer Science 2025-04-01 Minh David Thao Chan , Ruoyu Zhao , Yukuan Jia , Ruiqing Mao , Sheng Zhou

Transformer-based diffusion models have demonstrated remarkable performance at generating high-quality samples. However, our theoretical understanding of the reasons for this success remains limited. For instance, existing models are…

Machine Learning · Computer Science 2026-04-14 Hongkang Li , Hancheng Min , Rene Vidal

We propose the AdaPtive Noise Augmentation (PANDA) procedure to regularize the estimation and inference of generalized linear models (GLMs). PANDA iteratively optimizes the objective function given noise augmented data until convergence to…

Machine Learning · Statistics 2022-04-20 Yinan Li , Fang Liu

This paper presents a method for approximate Gaussian process (GP) regression with tensor networks (TNs). A parametric approximation of a GP uses a linear combination of basis functions, where the accuracy of the approximation depends on…

Machine Learning · Statistics 2023-11-01 Clara Menzen , Eva Memmel , Kim Batselier , Manon Kok

Graph Neural Networks (GNNs) combine node attributes over a fixed granularity of the local graph structure around a node to predict its label. However, different nodes may relate to a node-level property with a different granularity of its…

Machine Learning · Computer Science 2025-06-19 Kartik Sharma , Vineeth Rakesh , Yingtong Dou , Srijan Kumar , Mahashweta Das

When humans learn a new concept, they might ignore examples that they cannot make sense of at first, and only later focus on such examples, when they are more useful for learning. We propose incorporating this idea of tunable sensitivity…

Machine Learning · Statistics 2016-11-24 Gil Keren , Sivan Sabato , Björn Schuller

Graph neural network simulators (GNS) have emerged as a computationally efficient tool for simulating granular flows. Previous efforts have been limited to simplified homogeneous geometries characterized only by the friction angle, which…

Geophysics · Physics 2026-05-11 Yongjin Choi , Jorge Macedo , Chenying Liu

3D ultrasound delivers high-resolution, real-time images of soft tissues, which is essential for pain research. However, manually distinguishing various tissues for quantitative analysis is labor-intensive. To streamline this process, we…

Image and Video Processing · Electrical Eng. & Systems 2025-03-26 Zixue Zeng , Xiaoyan Zhao , Matthew Cartier , Xin Meng , Jiantao Pu

The most successful methods such as ReLU transfer functions, batch normalization, Xavier initialization, dropout, learning rate decay, or dynamic optimizers, have become standards in the field due, particularly, to their ability to increase…

Machine Learning · Computer Science 2020-10-26 Yurika Sakai , Andrey Kormilitzin , Qiang Liu , Alejo Nevado-Holgado

We propose a precise and efficient normal estimation method that can deal with noise and nonuniform density for unstructured 3D point clouds. Unlike existing approaches that directly take patches and ignore the local neighborhood…

Computer Vision and Pattern Recognition · Computer Science 2022-07-26 Keqiang Li , Mingyang Zhao , Huaiyu Wu , Dong-Ming Yan , Zhen Shen , Fei-Yue Wang , Gang Xiong

Recently, significant progress has been made in understanding the generalization of neural networks (NNs) trained by gradient descent (GD) using the algorithmic stability approach. However, most of the existing research has focused on…

Machine Learning · Computer Science 2025-07-22 Puyu Wang , Yunwen Lei , Di Wang , Yiming Ying , Ding-Xuan Zhou

Recent work has shown that training wide neural networks with gradient descent is formally equivalent to computing the mean of the posterior distribution in a Gaussian Process (GP) with the Neural Tangent Kernel (NTK) as the prior…

Machine Learning · Computer Science 2024-09-11 Sergio Calvo-Ordoñez , Konstantina Palla , Kamil Ciosek

Errors in measurements are key to weighting the value of data, but are often neglected in Machine Learning (ML). We show how Convolutional Neural Networks (CNNs) are able to learn about the context and patterns of signal and noise, leading…

Machine Learning · Computer Science 2021-08-11 Natália V. N. Rodrigues , L. Raul Abramo , Nina S. Hirata

Micro-Doppler analysis has become increasingly popular in recent years owning to the ability of the technique to enhance classification strategies. Applications include recognising everyday human activities, distinguishing drone from birds,…

Signal Processing · Electrical Eng. & Systems 2021-02-16 Chong Tang , Wenda Li , Shelly Vishwakarma , Karl Woodbridge , Simon Julier , Kevin Chetty

Feed-forward neural networks (FFNNs) are vulnerable to input noise, reducing prediction performance. Existing regularization methods like dropout often alter network architecture or overlook neuron interactions. This study aims to enhance…

Neural and Evolutionary Computing · Computer Science 2025-07-28 Maria Zaitseva , Ivan Tomilov , Natalia Gusarova

Deep neural networks (DNNs) are vulnerable to adversarial examples and other data perturbations. Especially in safety critical applications of DNNs, it is therefore crucial to detect misclassified samples. The current state-of-the-art…

Machine Learning · Computer Science 2020-04-21 Julia Lust , Alexandru Paul Condurache