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We propose and discuss a new computational method for the numerical approximation of reachable sets for nonlinear control systems. It is based on the support vector machine algorithm and represents the set approximation as a sublevel set of…

Optimization and Control · Mathematics 2014-12-11 Martin Rasmussen , Janosch Rieger , Kevin Webster

We consider the problem of training a neural network to store a set of patterns with maximal noise robustness. A solution, in terms of optimal weights and state update rules, is derived by training each individual neuron to perform either…

Neural and Evolutionary Computing · Computer Science 2024-07-24 Georgios Iatropoulos , Johanni Brea , Wulfram Gerstner

Kernel approximation methods create explicit, low-dimensional kernel feature maps to deal with the high computational and memory complexity of standard techniques. This work studies a supervised kernel learning methodology to optimize such…

Machine Learning · Computer Science 2020-02-17 Mert Al , Zejiang Hou , Sun-Yuan Kung

Support vector machines (SVMs) are popular learning algorithms to deal with binary classification problems. They traditionally assume equal misclassification costs for each class; however, real-world problems may have an uneven class…

Machine Learning · Computer Science 2022-04-22 Alejandro Rosales-Pérez , Salvador García , Francisco Herrera

The kernel support vector machine (SVM) is one of the most widely used classification methods; however, the amount of computation required becomes the bottleneck when facing millions of samples. In this paper, we propose and analyze a novel…

Machine Learning · Computer Science 2013-11-06 Cho-Jui Hsieh , Si Si , Inderjit S. Dhillon

This paper explores machine learning (ML) models for classifying lung cancer levels to improve diagnostic accuracy and prognosis. Through parameter tuning and rigorous evaluation, we assess various ML algorithms. Techniques like minimum…

Artificial Intelligence · Computer Science 2024-12-05 Mohsen Asghari Ilani , Saba Moftakhar Tehran , Ashkan Kavei , Hamed Alizadegan

Machine learning (ML) models, such as SVM, for tasks like classification and clustering of sequences, require a definition of distance/similarity between pairs of sequences. Several methods have been proposed to compute the similarity…

Machine Learning · Computer Science 2022-09-13 Sarwan Ali , Bikram Sahoo , Muhammad Asad Khan , Alexander Zelikovsky , Imdad Ullah Khan , Murray Patterson

Generative molecular design has moved from proof-of-concept to real-world applicability, as marked by the surge in very recent papers reporting experimental validation. Key challenges in explainability and sample efficiency present…

Biomolecules · Quantitative Biology 2024-03-05 Jeff Guo , Philippe Schwaller

Existing support vector machines(SVM) models are sensitive to noise and lack sparsity, which limits their performance. To address these issues, we combine the elastic net loss with a robust loss framework to construct a sparse…

Machine Learning · Statistics 2026-04-10 Haiyan Du , Hu Yang

This paper investigates the nonparametric regression problem using SVMs with anisotropic Gaussian RBF kernels. Under the assumption that the target functions are resided in certain anisotropic Besov spaces, we establish the almost optimal…

Machine Learning · Statistics 2018-10-05 Hanyuan Hang , Ingo Steinwart

Conditional expectiles are becoming an increasingly important tool in finance as well as in other areas of applications. We analyse a support vector machine type approach for estimating conditional expectiles and establish learning rates…

Machine Learning · Statistics 2017-02-28 Muhammad Farooq , Ingo Steinwart

The objective of this study is to investigate the efficient determination of $C$ and $\gamma$ for Support Vector Regression with RBF or mahalanobis kernel based on numerical and statistician considerations, which indicates the connection…

Machine Learning · Computer Science 2015-06-15 Longfei Lu

This paper introduces a new and effective algorithm for learning kernels in a Multi-Task Learning (MTL) setting. Although, we consider a MTL scenario here, our approach can be easily applied to standard single task learning, as well. As…

Machine Learning · Computer Science 2017-07-13 Niloofar Yousefi , Cong Li , Mansooreh Mollaghasemi , Georgios Anagnostopoulos , Michael Georgiopoulos

This paper presents a novel and uniform algorithm for edge detection based on SVM (support vector machine) with Three-dimensional Gaussian radial basis function with kernel. Because of disadvantages in traditional edge detection such as…

Computer Vision and Pattern Recognition · Computer Science 2017-10-10 Safar Irandoust-Pakchin , Aydin Ayanzadeh , Siamak Beikzadeh

This study introduces a novel formulation to enhance Support Vector Machines (SVMs) in handling class imbalance and noise. Unlike the conventional Soft Margin SVM, which penalizes the magnitude of constraint violations, the proposed model…

Machine Learning · Computer Science 2025-03-20 Seyed Mojtaba Mohasel , Hamidreza Koosha

Kernel density estimation is a key component of a wide variety of algorithms in machine learning, Bayesian inference, stochastic dynamics and signal processing. However, the unsupervised density estimation technique requires tuning a…

Machine Learning · Computer Science 2025-12-17 Sunia Tanweer , Firas A. Khasawneh

As the demand for internet of things (IoT) and device-to-device (D2D) applications in next generation communication systems increases, we are confronted with a challenge of spectrum scarcity. One promising solution to this problem is…

Information Theory · Computer Science 2024-12-16 Manpreet Kaur , Raj Singh , Sandeep Kumar

Effective processing, interpretation, and management of sensor data have emerged as a critical component of cyber-physical systems. Traditionally, processing sensor data requires profound theoretical knowledge and proficiency in…

Artificial Intelligence · Computer Science 2025-04-01 Pengrui Quan , Xiaomin Ouyang , Jeya Vikranth Jeyakumar , Ziqi Wang , Yang Xing , Mani Srivastava

We have made initial studies of the potential of support vector machines (SVM) for providing statistical models of nuclear systematics with demonstrable predictive power. Using SVM regression and classification procedures, we have created…

Nuclear Theory · Physics 2007-05-23 Haochen Li , J. W. Clark , E. Mavrommatis , S. Athanassopoulos , K. A. Gernoth

We propose a principle for exploring context in machine learning models. Starting with a simple assumption that each observation may or may not depend on its context, a conditional probability distribution is decomposed into two parts:…

Machine Learning · Computer Science 2019-01-23 Yun Zeng