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Real-world analog systems intrinsically suffer from noise that can impede model convergence and accuracy on a variety of deep learning models. We demonstrate that differentiable activations like GELU and SiLU enable robust propagation of…

Machine Learning · Computer Science 2025-02-25 Vivswan Shah , Nathan Youngblood

We study the approximation properties of shallow neural networks with an activation function which is a power of the rectified linear unit. Specifically, we consider the dependence of the approximation rate on the dimension and the…

Numerical Analysis · Mathematics 2021-12-23 Jonathan W. Siegel , Jinchao Xu

While scaling laws have been continuously validated in large language models (LLMs) with increasing model parameters, the inherent tension between the inference demands of LLMs and the limited resources of edge devices poses a critical…

Large Language Models (LLMs) offer strong capabilities but incur high inference costs due to dense computation and memory access. Training-free activation sparsity is a promising approach for efficient LLM inference, yet existing methods…

Machine Learning · Computer Science 2026-02-17 Lei Chen , Yuan Meng , Xiaoyu Zhan , Zhi Wang , Wenwu Zhu

Large Language Models (LLMs) demonstrate promising capabilities in solving scientific problems but often suffer from the issue of hallucination. While integrating LLMs with tools can mitigate this issue, models fine-tuned on tool usage…

Machine Learning · Computer Science 2025-06-23 Bohan Lyu , Yadi Cao , Duncan Watson-Parris , Leon Bergen , Taylor Berg-Kirkpatrick , Rose Yu

We present the Large Language Model from Power Law Decoder Representations (PLDR-LLM), a language model that leverages non-linear and linear transformations through Power Law Graph Attention mechanism to generate well-defined deductive and…

Computation and Language · Computer Science 2024-10-23 Burc Gokden

Language models (LMs) exhibit impressive performance and generalization capabilities. However, LMs struggle with the persistent challenge of catastrophic forgetting, which undermines their long-term sustainability in continual learning…

Machine Learning · Computer Science 2024-10-08 Wenyu Du , Shuang Cheng , Tongxu Luo , Zihan Qiu , Zeyu Huang , Ka Chun Cheung , Reynold Cheng , Jie Fu

Understanding the inner workings of machine learning models is critical for ensuring their reliability and robustness. Whilst many techniques in mechanistic interpretability focus on activation driven analyses, being able to derive…

Machine Learning · Computer Science 2025-09-03 Jason Abohwo , Thomas Mosen

`Biologically inspired' activation functions, such as the logistic sigmoid, have been instrumental in the historical advancement of machine learning. However in the field of deep learning, they have been largely displaced by rectified…

Neural and Evolutionary Computing · Computer Science 2018-05-21 Gardave S Bhumbra

In recent years, Quantum Machine Learning (QML) has increasingly captured the interest of researchers. Among the components in this domain, activation functions hold a fundamental and indispensable role. Our research focuses on the…

Quantum Physics · Physics 2024-04-10 Wei Zi , Siyi Wang , Hyunji Kim , Xiaoming Sun , Anupam Chattopadhyay , Patrick Rebentrost

The performance of Large Language Models (LLMs) relies heavily on the quality of prompts, which are often manually engineered and task-specific, making them costly and non-scalable. We propose a novel approach, Supervisory Prompt Training…

Computation and Language · Computer Science 2024-03-28 Jean Ghislain Billa , Min Oh , Liang Du

The Rectified Power Unit (RePU) activation function, a differentiable generalization of the Rectified Linear Unit (ReLU), has shown promise in constructing neural networks due to its smoothness properties. However, deep RePU networks often…

Machine Learning · Computer Science 2026-02-10 Taeyoung Kim , Myungjoo Kang

Finding appropriate prompts for the specific task has become an important issue as the usage of Large Language Models (LLM) has expanded. Reinforcement Learning (RL) is widely used for prompt tuning, but its inherent instability and…

Computation and Language · Computer Science 2024-10-11 Minchan Kwon , Gaeun Kim , Jongsuk Kim , Haeil Lee , Junmo Kim

As the emerging field of machine learning, deep learning shows excellent ability in solving complex learning problems. However, the size of the networks becomes increasingly large scale due to the demands of the practical applications,…

Machine Learning · Computer Science 2016-05-24 Chao Wang , Qi Yu , Lei Gong , Xi Li , Yuan Xie , Xuehai Zhou

Large Language Models (LLMs) are pretrained on massive datasets and later instruction-tuned via supervised fine-tuning (SFT) or reinforcement learning (RL). Best practices emphasize large, diverse pretraining data, whereas post-training…

Machine Learning · Computer Science 2026-03-03 Adel Javanmard , Baharan Mirzasoleiman , Vahab Mirrokni

Deep neural networks, and more recently large-scale generative models such as large language models (LLMs) and large vision-action models (LVAs), achieve remarkable performance across diverse domains, yet their prohibitive computational…

Machine Learning · Computer Science 2026-03-10 Laha Ale , Ning Zhang , Scott A. King , Pingzhi Fan

Large language models (LLMs) achieve remarkable advancements by leveraging tools to interact with environments, a critical step toward generalized AI. However, the standard supervised fine-tuning (SFT) approach, which relies on large-scale…

Computation and Language · Computer Science 2025-08-27 Junjie Ye , Yilong Wu , Sixian Li , Yuming Yang , Zhiheng Xi , Tao Gui , Qi Zhang , Xuanjing Huang , Peng Wang , Zhongchao Shi , Jianping Fan , Zhengyin Du

Controlling undesirable Large Language Model (LLM) behaviors, such as the generation of unsafe content or failing to adhere to safety guidelines, often relies on costly fine-tuning. Activation steering provides an alternative for…

Computation and Language · Computer Science 2026-03-17 Amr Hegazy , Mostafa Elhoushi , Amr Alanwar

This paper proposes $\mathrm{dynActivation}$, a per-layer trainable activation defined as $f_i(x) = \mathrm{BaseAct}(x)(\alpha_i - \beta_i) + \beta_i x$, where $\alpha_i$ and $\beta_i$ are lightweight learned scalars that interpolate…

Machine Learning · Computer Science 2026-03-24 Alois Bachmann

The reason behind CNNs capability to learn high-dimensional complex features from the images is the non-linearity introduced by the activation function. Several advanced activation functions have been discovered to improve the training…

Machine Learning · Computer Science 2022-11-15 Jeevanshi Sharma