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In this expository paper we want to give a brief introduction, with few key references for further reading, to the inner functioning of the new and successfull algorithms of Deep Learning and Geometric Deep Learning with a focus on Graph…

Machine Learning · Computer Science 2023-05-10 R. Fioresi , F. Zanchetta

The field of machine learning (ML) is concerned with the question of how to construct algorithms that automatically improve with experience. In recent years many successful ML applications have been developed, such as datamining programs,…

Artificial Intelligence · Computer Science 2007-05-23 Sergio Alejandro Gomez , Carlos Ivan Chesñevar

Understanding how neural networks transform input data across layers is fundamental to unraveling their learning and generalization capabilities. Although prior work has used insights from kernel methods to study neural networks, a global…

Machine Learning · Computer Science 2024-10-30 Amir Joudaki , Thomas Hofmann

We consider a Gaussian process formulation of the multiple kernel learning problem. The goal is to select the convex combination of kernel matrices that best explains the data and by doing so improve the generalisation on unseen data.…

Machine Learning · Statistics 2011-10-25 Cedric Archambeau , Francis Bach

Meta-learning has recently been an emerging data-efficient learning technique for various medical imaging operations and has helped advance contemporary deep learning models. Furthermore, meta-learning enhances the knowledge generalization…

Image and Video Processing · Electrical Eng. & Systems 2023-07-14 Sriprabha Ramanarayanan , Arun Palla , Keerthi Ram , Mohanasankar Sivaprakasam

Tiny Machine Learning (TinyML) is a new frontier of machine learning. By squeezing deep learning models into billions of IoT devices and microcontrollers (MCUs), we expand the scope of AI applications and enable ubiquitous intelligence.…

Machine Learning · Computer Science 2024-04-02 Ji Lin , Ligeng Zhu , Wei-Ming Chen , Wei-Chen Wang , Song Han

There have been various types of pretraining architectures including autoencoding models (e.g., BERT), autoregressive models (e.g., GPT), and encoder-decoder models (e.g., T5). However, none of the pretraining frameworks performs the best…

Computation and Language · Computer Science 2022-03-18 Zhengxiao Du , Yujie Qian , Xiao Liu , Ming Ding , Jiezhong Qiu , Zhilin Yang , Jie Tang

The generalization accuracy of machine learning models of potential energy surfaces (PES) and force fields (FF) for large polyatomic molecules can be generally improved either by increasing the number of training points or by improving the…

Chemical Physics · Physics 2023-03-20 K. Asnaashari , R. V. Krems

We introduce a family of multilayer graph kernels and establish new links between graph convolutional neural networks and kernel methods. Our approach generalizes convolutional kernel networks to graph-structured data, by representing…

Machine Learning · Statistics 2020-06-30 Dexiong Chen , Laurent Jacob , Julien Mairal

We study the relationship between online Gaussian process (GP) regression and kernel least mean squares (KLMS) algorithms. While the latter have no capacity of storing the entire posterior distribution during online learning, we discover…

Machine Learning · Statistics 2016-09-13 Steven Van Vaerenbergh , Jesus Fernandez-Bes , Víctor Elvira

Support Vector Machines (SVMs) with various kernels have played dominant role in machine learning for many years, finding numerous applications. Although they have many attractive features interpretation of their solutions is quite…

Machine Learning · Computer Science 2019-01-29 Tomasz Maszczyk , Włodzisław Duch

In this paper, we aim at introducing a new machine learning model, namely reconciled polynomial machine, which can provide a unified representation of existing shallow and deep machine learning models. Reconciled polynomial machine predicts…

Machine Learning · Computer Science 2018-05-22 Jiawei Zhang , Limeng Cui , Fisher B. Gouza

Kernel methods provide a theoretically grounded framework for non-linear and non-parametric learning, with strong analytic foundations and statistical guarantees. Yet, their scalability has long been limited by prohibitive time and memory…

Machine Learning · Computer Science 2025-10-01 Maedeh Zarvandi , Michael Timothy , Theresa Wasserer , Debarghya Ghoshdastidar

This document presents some early explorations of applying Softly Masked Language Modelling (SMLM) to symbolic music generation. SMLM can be seen as a generalisation of masked language modelling (MLM), where instead of each element of the…

Sound · Computer Science 2023-05-12 Nicolas Jonason , Bob L. T. Sturm

For the past 30 years or so, machine learning has stimulated a great deal of research in the study of approximation capabilities (expressive power) of a multitude of processes, such as approximation by shallow or deep neural networks,…

Machine Learning · Computer Science 2025-01-07 Hrushikesh Mhaskar

Kernel methods play an important role in machine learning applications due to their conceptual simplicity and superior performance on numerous machine learning tasks. Expressivity of a machine learning model, referring to the ability of the…

We present a Gaussian kernel loss function and training algorithm for convolutional neural networks that can be directly applied to both distance metric learning and image classification problems. Our method treats all training features…

Computer Vision and Pattern Recognition · Computer Science 2018-07-03 Benjamin J. Meyer , Ben Harwood , Tom Drummond

This work proposes a machine-learning framework for modeling the error incurred by approximate solutions to parameterized dynamical systems. In particular, we extend the machine-learning error models (MLEM) framework proposed in Ref. 15 to…

Numerical Analysis · Mathematics 2020-04-22 Eric J. Parish , Kevin T. Carlberg

Quantum machine learning (QML) is a promising early use case for quantum computing. There has been progress in the last five years from theoretical studies and numerical simulations to proof of concepts. Use cases demonstrated on…

Quantum Physics · Physics 2024-04-30 Daniel Goldsmith , M M Hassan Mahmud

Traditional machine learning mainly supervised learning, follows the assumptions of closed-world learning, i.e., for each testing class, a training class is available. However, such machine learning models fail to identify the classes which…

Machine Learning · Computer Science 2022-02-22 Jitendra Parmar , Satyendra Singh Chouhan , Vaskar Raychoudhury , Santosh Singh Rathore