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The evolution of a deep neural network trained by the gradient descent can be described by its neural tangent kernel (NTK) as introduced in [20], where it was proven that in the infinite width limit the NTK converges to an explicit limiting…

Machine Learning · Computer Science 2019-09-19 Jiaoyang Huang , Horng-Tzer Yau

Factor modeling is a powerful statistical technique that permits to capture the common dynamics in a large panel of data with a few latent variables, or factors, thus alleviating the curse of dimensionality. Despite its popularity and…

Econometrics · Economics 2021-03-03 Varlam Kutateladze

The Unconstrained Feature Model (UFM) is a mathematical framework that enables closed-form approximations for minimal training loss and related performance measures in deep neural networks (DNNs). This paper leverages the UFM to provide…

Machine Learning · Computer Science 2025-10-01 George Andriopoulos , Soyuj Jung Basnet , Juan Guevara , Li Guo , Keith Ross

Recently, neural networks utilizing periodic activation functions have been proven to demonstrate superior performance in vision tasks compared to traditional ReLU-activated networks. However, there is still a limited understanding of the…

Machine Learning · Computer Science 2024-02-08 Hemanth Saratchandran , Shin-Fang Chng , Simon Lucey

Software refactoring is the process of changing the structure of software without any alteration in its behavior and functionality. Presuming it is carried out in appropriate opportunities, refactoring enhances software quality…

Software Engineering · Computer Science 2023-01-20 Hanieh Khosravi , Abbas Rasoolzadegan

Neural networks are known for their ability to approximate smooth functions, yet they fail to generalize perfectly to unseen inputs when trained on discrete operations. Such operations lie at the heart of algorithmic tasks such as…

Machine Learning · Computer Science 2026-02-03 Artur Back de Luca , George Giapitzakis , Kimon Fountoulakis

Modern machine learning systems based on neural networks have shown great success in learning complex data patterns while being able to make good predictions on unseen data points. However, the limited interpretability of these systems…

Machine Learning · Computer Science 2020-07-22 Sarath Shekkizhar , Antonio Ortega

Recurrent Neural Networks (RNNs) represent the de facto standard machine learning tool for sequence modelling, owing to their expressive power and memory. However, when dealing with large dimensional data, the corresponding exponential…

Machine Learning · Computer Science 2021-05-12 Yao Lei Xu , Giuseppe G. Calvi , Danilo P. Mandic

Large-scale training datasets lie at the core of the recent success of neural machine translation (NMT) models. However, the complex patterns and potential noises in the large-scale data make training NMT models difficult. In this work, we…

Computation and Language · Computer Science 2020-10-07 Wenxiang Jiao , Xing Wang , Shilin He , Irwin King , Michael R. Lyu , Zhaopeng Tu

Machine Reading Comprehension (MRC) reveals the ability to understand a given text passage and answer questions based on it. Existing research works in MRC rely heavily on large-size models and corpus to improve the performance evaluated by…

Computation and Language · Computer Science 2022-03-08 Xiaoqiang Wang , Bang Liu , Fangli Xu , Bo Long , Siliang Tang , Lingfei Wu

The performance of approaches to Music Instrument Classification, a popular task in Music Information Retrieval, is often impacted and limited by the lack of availability of annotated data for training. We propose to address this issue with…

Sound · Computer Science 2022-11-16 Hsin-Hung Chen , Alexander Lerch

Massively multilingual language models such as multilingual BERT offer state-of-the-art cross-lingual transfer performance on a range of NLP tasks. However, due to limited capacity and large differences in pretraining data sizes, there is a…

Computation and Language · Computer Science 2021-09-13 Jonas Pfeiffer , Ivan Vulić , Iryna Gurevych , Sebastian Ruder

Recent work by Jacot et al. (2018) has shown that training a neural network using gradient descent in parameter space is related to kernel gradient descent in function space with respect to the Neural Tangent Kernel (NTK). Lee et al. (2019)…

Machine Learning · Statistics 2022-05-26 Soufiane Hayou , Arnaud Doucet , Judith Rousseau

Recently, quantum neural networks or quantum-classical neural networks (qcNN) have been actively studied, as a possible alternative to the conventional classical neural network (cNN), but their practical and theoretically-guaranteed…

Quantum Physics · Physics 2023-12-12 Kouhei Nakaji , Hiroyuki Tezuka , Naoki Yamamoto

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

Machine unlearning (MU) is to make a well-trained model behave as if it had never been trained on specific data. In today's over-parameterized models, dominated by neural networks, a common approach is to manually relabel data and fine-tune…

Machine Learning · Computer Science 2025-07-21 Ruikai Yang , Mingzhen He , Zhengbao He , Youmei Qiu , Xiaolin Huang

The goal of this work is to shed light on the remarkable phenomenon of transition to linearity of certain neural networks as their width approaches infinity. We show that the transition to linearity of the model and, equivalently, constancy…

Machine Learning · Computer Science 2021-02-23 Chaoyue Liu , Libin Zhu , Mikhail Belkin

In this paper, we introduce a novel theoretical framework for multi-task regression, applying random matrix theory to provide precise performance estimations, under high-dimensional, non-Gaussian data distributions. We formulate a…

While next-token prediction (NTP) has been the standard objective for training language models, it often struggles to capture global structure in reasoning tasks. Multi-token prediction (MTP) has recently emerged as a promising alternative,…

Machine Learning · Computer Science 2026-04-15 Jianhao Huang , Zhanpeng Zhou , Renqiu Xia , Baharan Mirzasoleiman , Weijie Su , Wei Huang

The objective is to provide clear and well-motivated guidance to Machine Learning (ML) teams, founded on our experience in empirical turbulence modeling. Guidance is also needed for modeling outside ML. ML is not yet successful in…

Fluid Dynamics · Physics 2023-08-03 Philippe Spalart