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We present Activation Residual Hessian Quantization (ARHQ), a post-training weight splitting method designed to mitigate error propagation in low-bit activation-weight quantization. By constructing an input-side residual Hessian from…

Machine Learning · Computer Science 2026-05-04 YiFeng Wang , Zhun Sun , Keisuke Sakaguchi

Activation function has a significant impact on the dynamics, convergence, and performance of deep neural networks. The search for a consistent and high-performing activation function has always been a pursuit during deep learning model…

Computer Vision and Pattern Recognition · Computer Science 2024-09-17 Abdur Rahman , Lu He , Haifeng Wang

This work presents a weighted quadrature (WQ) method to fast assemble Galerkin matrices based on unstructured spline surfaces. The method is developed upon a particular variant of unstructured splines, namely the bicubic analysis-suitable…

Numerical Analysis · Mathematics 2026-05-29 Ji Sheng , Xiaodong Wei , Falai Chen

Spoken Language Understanding (SLU) systems must balance performance and efficiency, particularly in resource-constrained environments. Existing methods apply distillation and quantization separately, leading to suboptimal compression as…

Audio and Speech Processing · Electrical Eng. & Systems 2025-08-18 Subrata Biswas , Mohammad Nur Hossain Khan , Bashima Islam

Activation Functions introduce non-linearity in the deep neural networks. This nonlinearity helps the neural networks learn faster and efficiently from the dataset. In deep learning, many activation functions are developed and used based on…

Machine Learning · Computer Science 2025-09-29 Ravin Kumar

This paper provides a least squares formulation for the training of a 2-layer convolutional neural network using quadratic activation functions, a 2-norm loss function, and no regularization term. Using this method, an analytic expression…

Machine Learning · Computer Science 2024-11-18 Zachary Yetman Van Egmond , Luis Rodrigues

This study delves into the effectiveness of various learning methods in improving Transformer models, focusing particularly on the Gated Residual Network Transformer (GRN-Transformer) in the context of pediatric intensive care units (PICU)…

Signal Processing · Electrical Eng. & Systems 2025-05-27 Thanh-Dung Le , Clara Macabiau , Kévin Albert , Symeon Chatzinotas , Philippe Jouvet , Rita Noumeir

Self-Supervised Learning (SSL) has been shown to learn useful and information-preserving representations. Neural Networks (NNs) are widely applied, yet their weight space is still not fully understood. Therefore, we propose to use SSL to…

Machine Learning · Computer Science 2022-12-15 Konstantin Schürholt , Dimche Kostadinov , Damian Borth

We introduce switched linear projections for expressing the activity of a neuron in a deep neural network in terms of a single linear projection in the input space. The method works by isolating the active subnetwork, a series of linear…

Machine Learning · Computer Science 2020-02-10 Lech Szymanski , Brendan McCane , Craig Atkinson

Binary neural networks have attracted numerous attention in recent years. However, mainly due to the information loss stemming from the biased binarization, how to preserve the accuracy of networks still remains a critical issue. In this…

Computer Vision and Pattern Recognition · Computer Science 2020-02-12 Mingzhu Shen , Xianglong Liu , Ruihao Gong , Kai Han

Activation functions play a decisive role in determining the capacity of Deep Neural Networks as they enable neural networks to capture inherent nonlinearities present in data fed to them. The prior research on activation functions…

Computer Vision and Pattern Recognition · Computer Science 2023-05-31 Jamshaid Ul Rahman , Faiza Makhdoom , Dianchen Lu

Common nonlinear activation functions used in neural networks can cause training difficulties due to the saturation behavior of the activation function, which may hide dependencies that are not visible to vanilla-SGD (using first order…

Machine Learning · Computer Science 2016-04-05 Caglar Gulcehre , Marcin Moczulski , Misha Denil , Yoshua Bengio

Sequential learning paradigms pose challenges for gradient-based deep learning due to difficulties incorporating new data and retaining prior knowledge. While Gaussian processes elegantly tackle these problems, they struggle with…

Machine Learning · Statistics 2024-03-19 Aidan Scannell , Riccardo Mereu , Paul Chang , Ella Tamir , Joni Pajarinen , Arno Solin

Weight initialization plays an important role in training neural networks and also affects tremendous deep learning applications. Various weight initialization strategies have already been developed for different activation functions with…

Machine Learning · Computer Science 2022-08-09 Qipin Chen , Wenrui Hao , Juncai He

Surface reconstruction is a fundamental problem in 3D graphics. In this paper, we propose a learning-based approach for implicit surface reconstruction from raw point clouds without normals. Our method is inspired by Gauss Lemma in…

Computer Vision and Pattern Recognition · Computer Science 2022-02-22 Dong Xiao , Siyou Lin , Zuoqiang Shi , Bin Wang

Accurate state estimation is critical for optimal policy design in dynamic systems. However, obtaining true system states is often impractical or infeasible, complicating the policy learning process. This paper introduces a novel neural…

Computer Vision and Pattern Recognition · Computer Science 2025-06-09 Ashik E Rasul , Hyung-Jin Yoon

This work introduces Semantically Masked Vector Quantized Generative Adversarial Network (SQ-GAN), a novel approach integrating semantically driven image coding and vector quantization to optimize image compression for…

Computer Vision and Pattern Recognition · Computer Science 2025-10-13 Francesco Pezone , Sergio Barbarossa , Giuseppe Caire

Activation functions have a notorious impact on neural networks on both training and testing the models against the desired problem. Currently, the most used activation function is the Rectified Linear Unit (ReLU). This paper introduces a…

Computer Vision and Pattern Recognition · Computer Science 2018-01-23 Eric Alcaide

We propose the Gaussian Error Linear Unit (GELU), a high-performing neural network activation function. The GELU activation function is $x\Phi(x)$, where $\Phi(x)$ the standard Gaussian cumulative distribution function. The GELU…

Machine Learning · Computer Science 2023-06-07 Dan Hendrycks , Kevin Gimpel

Recent neural network architectures such as the basic recurrent neural network (RNN) and Gated Recurrent Unit (GRU) have gained prominence as end-to-end learning architectures for natural language processing tasks. But what is the…

Computation and Language · Computer Science 2019-06-20 Samuel A. Korsky , Robert C. Berwick
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