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Deep neural networks often suffer from poor performance or even training failure due to the ill-conditioned problem, the vanishing/exploding gradient problem, and the saddle point problem. In this paper, a novel method by acting the…

Computer Vision and Pattern Recognition · Computer Science 2021-07-12 Mei Liu , Liangming Chen , Xiaohao Du , Long Jin , Mingsheng Shang

In neural networks, non-linearity is introduced by activation functions. One commonly used activation function is Rectified Linear Unit (ReLU). ReLU has been a popular choice as an activation but has flaws. State-of-the-art functions like…

Machine Learning · Computer Science 2021-12-23 Advait Vagerwal

Existing parameter-efficient fine-tuning (PEFT) methods primarily adapt weight matrices while keeping activation functions fixed. We introduce \textbf{NoRA}, the first PEFT framework that directly adapts nonlinear activation functions in…

Machine Learning · Computer Science 2025-09-19 Bo Yin , Xingyi Yang , Xinchao Wang

The Neural Tangent Kernel (NTK) offers a powerful tool to study the functional dynamics of neural networks. In the so-called lazy, or kernel regime, the NTK remains static during training and the network function is linear in the static…

Machine Learning · Computer Science 2025-07-28 Yuzhi Liu , Zixuan Chen , Zirui Zhang , Yufei Liu , Giulia Lanzillotta

Despite its great success, backpropagation has certain limitations that necessitate the investigation of new learning methods. In this study, we present a biologically plausible local learning rule that improves upon Hebb's well-known…

Neural and Evolutionary Computing · Computer Science 2022-12-27 Hongchao Zhou

From fully connected neural networks to convolutional neural networks, the learned parameters within a neural network have been primarily relegated to the linear parameters (e.g., convolutional filters). The non-linear functions (e.g.,…

Neural and Evolutionary Computing · Computer Science 2019-11-22 Andrew Hryniowski , Alexander Wong

While neural networks are used for classification tasks across domains, a long-standing open problem in machine learning is determining whether neural networks trained using standard procedures are optimal for classification, i.e., whether…

Machine Learning · Computer Science 2023-05-03 Adityanarayanan Radhakrishnan , Mikhail Belkin , Caroline Uhler

We introduce Tangent Attention Fine-Tuning (TAFT), a method for fine-tuning linearized transformers obtained by computing a First-order Taylor Expansion around a pre-trained initialization. We show that the Jacobian-Vector Product resulting…

Machine Learning · Computer Science 2024-05-16 Tian Yu Liu , Aditya Golatkar , Stefano Soatto

Prompt tuning, a recently emerging paradigm, enables the powerful vision-language pre-training models to adapt to downstream tasks in a parameter -- and data -- efficient way, by learning the ``soft prompts'' to condition frozen…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Juncheng Li , Minghe Gao , Longhui Wei , Siliang Tang , Wenqiao Zhang , Mengze Li , Wei Ji , Qi Tian , Tat-Seng Chua , Yueting Zhuang

We introduce SPLASH units, a class of learnable activation functions shown to simultaneously improve the accuracy of deep neural networks while also improving their robustness to adversarial attacks. SPLASH units have both a simple…

Machine Learning · Computer Science 2020-06-17 Mohammadamin Tavakoli , Forest Agostinelli , Pierre Baldi

Large Language Models (LLMs) demonstrate impressive performance across natural language tasks but incur substantial computational and storage costs due to their scale. Post-training structured pruning offers an efficient solution. However,…

Computation and Language · Computer Science 2025-12-30 Tao Yu , Yongqi An , Kuan Zhu , Guibo Zhu , Ming Tang , Jinqiao Wang

Test-time adaptation (TTA) aims to mitigate performance degradation under distribution shifts by updating model parameters during inference. Existing approaches have primarily framed adaptation around affine modulation, focusing on…

Machine Learning · Computer Science 2026-03-30 Hyeongyu Kim , Geonhui Han , Dosik Hwang

Training reinforcement learning (RL) agents often requires significant computational resources and prolonged training durations. To address this challenge, we build upon prior work that introduced a neural architecture with…

Machine Learning · Computer Science 2025-06-24 Junaid Muzaffar , Khubaib Ahmed , Ingo Frommholz , Zeeshan Pervez , Ahsan ul Haq

Expressiveness and generalization of deep models was recently addressed via the connection between neural networks (NNs) and kernel learning, where first-order dynamics of NN during a gradient-descent (GD) optimization were related to…

Machine Learning · Computer Science 2020-04-21 Dmitry Kopitkov , Vadim Indelman

We introduce a novel mathematical formulation for the training of feed-forward neural networks with (potentially non-smooth) proximal maps as activation functions. This formulation is based on Bregman distances and a key advantage is that…

Optimization and Control · Mathematics 2022-08-19 Xiaoyu Wang , Martin Benning

Random feature (RF) method is a powerful kernel approximation technique, but is typically equipped with fixed activation functions, limiting its adaptability across diverse tasks. To overcome this limitation, we introduce the Random Feature…

Machine Learning · Computer Science 2025-11-06 Zailin Ma , Jiansheng Yang , Yaodong Yang

Direct Feedback Alignment (DFA) is emerging as an efficient and biologically plausible alternative to the ubiquitous backpropagation algorithm for training deep neural networks. Despite relying on random feedback weights for the backward…

Machine Learning · Statistics 2021-06-11 Maria Refinetti , Stéphane d'Ascoli , Ruben Ohana , Sebastian Goldt

Background: Deep neural networks have proven to be powerful computational tools for modeling, prediction, and generation. However, the workings of these models have generally been opaque. Recent work has shown that the performance of some…

Artificial Intelligence · Computer Science 2023-11-21 Andrew S. Nencka , L. Tugan Muftuler , Peter LaViolette , Kevin M. Koch

The training dynamics and generalization properties of neural networks (NN) can be precisely characterized in function space via the neural tangent kernel (NTK). Structural changes to the NTK during training reflect feature learning and…

Machine Learning · Statistics 2022-02-11 Haozhe Shan , Blake Bordelon

Multimodal learning has gained much success in recent years. However, current multimodal fusion methods adopt the attention mechanism of Transformers to implicitly learn the underlying correlation of multimodal features. As a result, the…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Thanh-Dat Truong , Christophe Bobda , Nitin Agarwal , Khoa Luu