English
Related papers

Related papers: On Learning the Transformer Kernel

200 papers

Transformer based models have shown remarkable capabilities in sequence learning across a wide range of tasks, often performing well on specific task by leveraging input-output examples. Despite their empirical success, a comprehensive…

Machine Learning · Computer Science 2025-06-03 Yifan Hao , Chenlu Ye , Chi Han , Tong Zhang

Transformers have achieved great success in effectively processing sequential data such as text. Their architecture consisting of several attention and feedforward blocks can model relations between elements of a sequence in parallel…

Machine Learning · Computer Science 2025-02-20 Jaemu Heo , Eldor Fozilov , Hyunmin Song , Taehwan Kim

As more deep learning models are being applied in real-world applications, there is a growing need for modeling and learning the representations of neural networks themselves. An efficient representation can be used to predict target…

Machine Learning · Computer Science 2023-10-17 Yun Yi , Haokui Zhang , Rong Xiao , Nannan Wang , Xiaoyu Wang

An important goal in visual recognition is to devise image representations that are invariant to particular transformations. In this paper, we address this goal with a new type of convolutional neural network (CNN) whose invariance is…

Computer Vision and Pattern Recognition · Computer Science 2015-01-08 Julien Mairal , Piotr Koniusz , Zaid Harchaoui , Cordelia Schmid

Parametrised quantum circuits are a central framework for near term quantum machine learning. However, it remains challenging to determine in advance how architectural choices, such as encoding strategies, gate placement, and entangling…

Quantum Physics · Physics 2026-04-07 Kyle James Stuart Campbell , Luigi Del Debbio , Petros Wallden

Multiple Kernel Learning is a conventional way to learn the kernel function in kernel-based methods. MKL algorithms enhance the performance of kernel methods. However, these methods have a lower complexity compared to deep learning models…

Machine Learning · Computer Science 2023-05-05 Ahmad Navid Ghanizadeh , Kamaledin Ghiasi-Shirazi , Reza Monsefi , Mohammadreza Qaraei

Kernel-based learning algorithms are widely used in machine learning for problems that make use of the similarity between object pairs. Such algorithms first embed all data points into an alternative space, where the inner product between…

Machine Learning · Statistics 2017-09-21 Amir-Hossein Karimi

Hyperspectral object tracking using snapshot mosaic cameras is emerging as it provides enhanced spectral information alongside spatial data, contributing to a more comprehensive understanding of material properties. Using transformers,…

Computer Vision and Pattern Recognition · Computer Science 2025-02-27 Shaheer Mohamed , Tharindu Fernando , Sridha Sridharan , Peyman Moghadam , Clinton Fookes

We study feature learning in a compositional variant of kernel ridge regression in which the predictor is applied to a learnable linear transformation of the input. When the response depends on the input only through a low-dimensional…

Statistics Theory · Mathematics 2026-02-17 Yunlu Chen , Yang Li , Keli Liu , Feng Ruan

Any applied mathematical model contains parameters. The paper proposes to use kernel learning for the parametric analysis of the model. The approach consists in setting a distribution on the parameter space, obtaining a finite training…

Optimization and Control · Mathematics 2025-01-27 Vladimir Norkin , Alois Pichler

Multi-head attention empowers the recent success of transformers, the state-of-the-art models that have achieved remarkable success in sequence modeling and beyond. These attention mechanisms compute the pairwise dot products between the…

Machine Learning · Computer Science 2022-06-02 Tan Nguyen , Minh Pham , Tam Nguyen , Khai Nguyen , Stanley J. Osher , Nhat Ho

In order to fully utilize "big data", it is often required to use "big models". Such models tend to grow with the complexity and size of the training data, and do not make strong parametric assumptions upfront on the nature of the…

Machine Learning · Statistics 2015-04-17 Vikas Sindhwani , Haim Avron

Deep Neural Networks, particularly Convolutional Neural Networks (ConvNets), have achieved incredible success in many vision tasks, but they usually require millions of parameters for good accuracy performance. With increasing applications…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Yuhuang Hu , Shih-Chii Liu

In this paper, we propose a data-adaptive non-parametric kernel learning framework in margin based kernel methods. In model formulation, given an initial kernel matrix, a data-adaptive matrix with two constraints is imposed in an entry-wise…

Machine Learning · Computer Science 2020-10-16 Fanghui Liu , Xiaolin Huang , Chen Gong , Jie Yang , Li Li

Unlabeled data is a key component of modern machine learning. In general, the role of unlabeled data is to impose a form of smoothness, usually from the similarity information encoded in a base kernel, such as the $\epsilon$-neighbor kernel…

Machine Learning · Statistics 2024-02-02 Runtian Zhai , Rattana Pukdee , Roger Jin , Maria-Florina Balcan , Pradeep Ravikumar

The increasing number of protein sequences decoded from genomes is opening up new avenues of research on linking protein sequence to function with transformer neural networks. Recent research has shown that the number of known protein…

Machine Learning · Computer Science 2022-06-23 Anowarul Kabir , Amarda Shehu

In this work, we introduce kernels with random Fourier features in the meta-learning framework to leverage their strong few-shot learning ability. We propose meta variational random features (MetaVRF) to learn adaptive kernels for the…

Machine Learning · Computer Science 2020-08-14 Xiantong Zhen , Haoliang Sun , Yingjun Du , Jun Xu , Yilong Yin , Ling Shao , Cees Snoek

The impressive practical performance of neural networks is often attributed to their ability to learn low-dimensional data representations and hierarchical structure directly from data. In this work, we argue that these two phenomena are…

Machine Learning · Statistics 2025-10-06 Libin Zhu , Damek Davis , Dmitriy Drusvyatskiy , Maryam Fazel

Deep learning's successes are often attributed to its ability to automatically discover new representations of the data, rather than relying on handcrafted features like other learning methods. We show, however, that deep networks learned…

Machine Learning · Computer Science 2020-12-02 Pedro Domingos

Kernel continual learning by \citet{derakhshani2021kernel} has recently emerged as a strong continual learner due to its non-parametric ability to tackle task interference and catastrophic forgetting. Unfortunately its success comes at the…

Machine Learning · Computer Science 2021-12-28 Mohammad Mahdi Derakhshani , Xiantong Zhen , Ling Shao , Cees G. M. Snoek