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In this paper, we propose novel quaternion activation functions where we modify either the quaternion magnitude or the phase, as an alternative to the commonly used split activation functions. We define criteria that are relevant for…

Machine Learning · Computer Science 2024-06-25 Johannes Pöppelbaum , Andreas Schwung

This study proposes two novel learning rate schedulers -- Hyperbolic Learning Rate Scheduler (HyperbolicLR) and Exponential Hyperbolic Learning Rate Scheduler (ExpHyperbolicLR) -- to address the epoch sensitivity problem that often causes…

Machine Learning · Computer Science 2025-02-04 Tae-Geun Kim

Solid results from Transformers have made them prevailing architectures in various natural language and vision tasks. As a default component in Transformers, Layer Normalization (LN) normalizes activations within each token to boost the…

Computer Vision and Pattern Recognition · Computer Science 2022-08-03 Qiming Yang , Kai Zhang , Chaoxiang Lan , Zhi Yang , Zheyang Li , Wenming Tan , Jun Xiao , Shiliang Pu

At the heart of neural network force fields (NNFFs) is the architecture of neural networks, where the capacity to model complex interactions is typically enhanced through widening or deepening multilayer perceptrons (MLPs) or by increasing…

Machine Learning · Computer Science 2024-12-20 Enji Li

Catastrophic forgetting has remained a significant challenge for efficient reinforcement learning for decades (Ring 1994, Rivest and Precup 2003). While recent works have proposed effective methods to mitigate this issue, they mainly focus…

Machine Learning · Computer Science 2025-09-24 Qingfeng Lan , Gautham Vasan , A. Rupam Mahmood

We propose a new method for approximating active learning acquisition strategies that are based on retraining with hypothetically-labeled candidate data points. Although this is usually infeasible with deep networks, we use the neural…

Machine Learning · Statistics 2022-07-05 Mohamad Amin Mohamadi , Wonho Bae , Danica J. Sutherland

We introduce a variational framework to learn the activation functions of deep neural networks. Our aim is to increase the capacity of the network while controlling an upper-bound of the actual Lipschitz constant of the input-output…

Machine Learning · Computer Science 2023-07-19 Shayan Aziznejad , Harshit Gupta , Joaquim Campos , Michael Unser

Binarized Neural Networks (BNNs) can significantly reduce the inference latency and energy consumption in resource-constrained devices due to their pure-logical computation and fewer memory accesses. However, training BNNs is difficult…

Computer Vision and Pattern Recognition · Computer Science 2019-04-08 Ruizhou Ding , Ting-Wu Chin , Zeye Liu , Diana Marculescu

The field of artificial neural networks is expected to strongly benefit from recent developments of quantum computers. In particular, quantum machine learning, a class of quantum algorithms which exploit qubits for creating trainable neural…

Quantum Physics · Physics 2022-01-12 Marco Maronese , Claudio Destri , Enrico Prati

We propose an approach to solving partial differential equations (PDEs) using a set of neural networks which we call Neural Basis Functions (NBF). This NBF framework is a novel variation of the POD DeepONet operator learning approach where…

Machine Learning · Computer Science 2022-08-04 David Witman , Alexander New , Hicham Alkendry , Honest Mrema

The scope of research in the domain of activation functions remains limited and centered around improving the ease of optimization or generalization quality of neural networks (NNs). However, to develop a deeper understanding of deep…

Machine Learning · Computer Science 2020-12-10 Mohit Goyal , Rajan Goyal , Brejesh Lall

Neural networks are typically trained with a single learning rate across all layers. While recent empirical evidence suggests that assigning layer-specific learning rates can accelerate training, a principled understanding of the conditions…

Machine Learning · Computer Science 2026-05-26 Sihan Zeng , Sujay Bhatt , Sumitra Ganesh

Success of deep neural networks in diverse tasks across domains of computer vision, speech recognition and natural language processing, has necessitated understanding the dynamics of training process and also working of trained models. Two…

Computer Vision and Pattern Recognition · Computer Science 2021-09-06 Yogesh Kochar , Sunil Kumar Vengalil , Neelam Sinha

We present analytical exploration of novel activation functions as consequence of integration of several ideas leading to implementation and subsequent use in habitability classification of exoplanets. Neural networks, although a powerful…

Instrumentation and Methods for Astrophysics · Physics 2020-12-02 Snehanshu Saha , Nithin Nagaraj , Archana Mathur , Rahul Yedida

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

Deep reinforcement learning (RL) agents frequently suffer from neuronal activity loss, which impairs their ability to adapt to new data and learn continually. A common method to quantify and address this issue is the tau-dormant neuron…

Machine Learning · Computer Science 2026-02-03 Jiashun Liu , Zihao Wu , Johan Obando-Ceron , Pablo Samuel Castro , Aaron Courville , Ling Pan

We present a unified representation of the most popular neural network activation functions. Adopting Mittag-Leffler functions of fractional calculus, we propose a flexible and compact functional form that is able to interpolate between…

Machine Learning · Computer Science 2024-10-10 Mohammad Mostafanejad

This paper addresses the limitations of Physics-Informed Neural Networks for time-dependent problems by introducing a tangent bundle learning framework. Instead of directly approximating the solution, we parameterize its temporal derivative…

Numerical Analysis · Mathematics 2026-04-15 Adetola Jamal , Mamlankou Charbel , Houédanou Koffi Wilfrid , Dègla Aymard Guy

Deep neural network models have shown a great potential in accelerating the simulation of fluid dynamic systems. Once trained, these models can make inference within seconds, thus can be extremely efficient. However, they suffer from a…

Fluid Dynamics · Physics 2022-02-23 Wenhui Peng , Zelong Yuan , Jianchun Wang

An activation function is a crucial component of a neural network that introduces non-linearity in the network. The state-of-the-art performance of a neural network depends also on the perfect choice of an activation function. We propose…

Neural and Evolutionary Computing · Computer Science 2022-03-25 Koushik Biswas , Sandeep Kumar , Shilpak Banerjee , Ashish Kumar Pandey