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With new advances in machine learning and in particular powerful learning libraries, we illustrate some of the new possibilities they enable in terms of nonlinear system identification. For a large class of hybrid systems, we explain how…

最优化与控制 · 数学 2019-12-02 Mattias Fält , Pontus Giselsson

Efficient clutter filtering for pulsed radar systems remains an open issue when employing pulse-to-pulse modulation and irregular pulse interval waveforms within the coherent processing interval. The range and Doppler domain should be…

信号处理 · 电气工程与系统科学 2023-02-21 Pepijn B. Cox , Mario A. Coutino , Wim L. van Rossum

Learning the unknown causal parameters of a linear structural causal model is a fundamental task in causal analysis. The task, known as the problem of identification, asks to estimate the parameters of the model from a combination of…

人工智能 · 计算机科学 2024-07-18 Julian Dörfler , Benito van der Zander , Markus Bläser , Maciej Liskiewicz

In the last decade, a considerable research effort has been devoted to developing adaptive algorithms based on kernel functions. One of the main features of these algorithms is that they form a family of universal approximation techniques,…

信号处理 · 电气工程与系统科学 2018-08-21 A. Flores , R. C. de Lamare

We present in this work a new methodology to design kernels on data which is structured with smaller components, such as text, images or sequences. This methodology is a template procedure which can be applied on most kernels on measures…

机器学习 · 计算机科学 2007-05-23 Marco Cuturi , Kenji Fukumizu

Learning monotonic models with respect to a subset of the inputs is a desirable feature to effectively address the fairness, interpretability, and generalization issues in practice. Existing methods for learning monotonic neural networks…

机器学习 · 计算机科学 2022-12-16 Xingchao Liu , Xing Han , Na Zhang , Qiang Liu

We introduce random-kernel networks, a multilayer extension of random feature models where depth is created by deterministic kernel composition and randomness enters only in the outermost layer. We prove that deeper constructions can…

机器学习 · 计算机科学 2025-09-03 James Tian

Support Vector Machines (SVMs) are powerful learners that have led to state-of-the-art results in various computer vision problems. SVMs suffer from various drawbacks in terms of selecting the right kernel, which depends on the image…

计算机视觉与模式识别 · 计算机科学 2014-03-31 Gemma Roig , Xavier Boix , Luc Van Gool

We propose a novel approach to anomaly detection called Curvature Anomaly Detection (CAD) and Kernel CAD based on the idea of polyhedron curvature. Using the nearest neighbors for a point, we consider every data point as the vertex of a…

机器学习 · 计算机科学 2020-05-14 Benyamin Ghojogh , Fakhri Karray , Mark Crowley

This paper studies the problem of identifying low-order linear systems via Hankel nuclear norm regularization. Hankel regularization encourages the low-rankness of the Hankel matrix, which maps to the low-orderness of the system. We provide…

机器学习 · 统计学 2022-04-01 Yue Sun , Samet Oymak , Maryam Fazel

We propose a novel class of kernels to alleviate the high computational cost of large-scale nonparametric learning with kernel methods. The proposed kernel is defined based on a hierarchical partitioning of the underlying data domain, where…

机器学习 · 计算机科学 2017-08-15 Jie Chen , Haim Avron , Vikas Sindhwani

In this paper, we develop a quadrature framework for large-scale kernel machines via a numerical integration representation. Considering that the integration domain and measure of typical kernels, e.g., Gaussian kernels, arc-cosine kernels,…

机器学习 · 计算机科学 2021-06-14 Fanghui Liu , Xiaolin Huang , Yudong Chen , Johan A. K. Suykens

A proof-of-concept framework for identifying molecules of unknown elemental composition and structure using experimental rotational data and probabilistic deep learning is presented. Using a minimal set of input data determined…

化学物理 · 物理学 2020-07-01 Michael C. McCarthy , Kin Long Kelvin Lee

The field of quantum machine learning is a promising way to lead to a revolution in intelligent data processing methods. In this way, a hybrid learning method based on classic kernel methods is proposed. This proposal also requires the…

量子物理 · 物理学 2024-11-01 Jhordan Silveira de Borba , Jonas Maziero

Recurrent neural networks (RNNs) are brain-inspired models widely used in machine learning for analyzing sequential data. The present work is a contribution towards a deeper understanding of how RNNs process input signals using the response…

机器学习 · 统计学 2021-02-15 Soon Hoe Lim

This paper proposes a frequent pattern data mining algorithm based on support vector machine (SVM), aiming to solve the performance bottleneck of traditional frequent pattern mining algorithms in high-dimensional and sparse data…

机器学习 · 计算机科学 2024-12-23 Pochun Li

In binary classification, kernel-free linear or quadratic support vector machines are proposed to avoid dealing with difficulties such as finding appropriate kernel functions or tuning their hyper-parameters. Furthermore, Universum data…

机器学习 · 计算机科学 2021-04-06 Hossein Moosaei , Ahmad Mousavi , Milan Hladík , Zheming Gao

Linear mixture models have proven very useful in a plethora of applications, e.g., topic modeling, clustering, and source separation. As a critical aspect of the linear mixture models, identifiability of the model parameters is…

机器学习 · 计算机科学 2021-02-24 Bo Yang , Xiao Fu , Nicholas D. Sidiropoulos , Kejun Huang

In this paper we combine the theory of reproducing kernel Hilbert spaces with the field of collocation methods to solve boundary value problems with special emphasis on reproducing property of kernels. From the reproducing property of…

数值分析 · 数学 2019-03-26 Babak Azarnavid , Mahdi Emamjome , Mohammad Nabati , Saeid Abbasbandy

Simultaneously addressing multiple objectives is becoming increasingly important in modern machine learning. At the same time, data is often high-dimensional and costly to label. For a single objective such as prediction risk, conventional…

机器学习 · 统计学 2025-03-13 Tobias Wegel , Filip Kovačević , Alexandru Ţifrea , Fanny Yang
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