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Differential equations are used in a wide variety of disciplines, describing the complex behavior of the physical world. Analytic solutions to these equations are often difficult to solve for, limiting our current ability to solve complex…

Machine Learning · Computer Science 2022-08-09 Ethan Mills , Alexey Pozdnyakov

A growing body of literature has been leveraging techniques of machine learning (ML) to build novel approaches to approximating the solutions to partial differential equations. Noticeably absent from the literature is a systematic…

Numerical Analysis · Mathematics 2026-05-19 Jonah A. Reeger

The $\alpha$-decay chains of $^{288-287}115$ are studied along with the possible cluster decay modes by using the preformed cluster model (PCM). The calculated $\alpha$-decay half-lives are compared with experimental data and other model…

Nuclear Theory · Physics 2011-11-09 Sushil Kumar , Shagun Thakur , Rajesh Kumar

We compare the discovery potential of the LHC for lepton number violating (LNV) signals with the sensitivity of current and future double beta decay experiments, assuming 0\nu\beta\beta decay is dominated by heavy particle exchange. We…

High Energy Physics - Phenomenology · Physics 2013-09-09 J. C. Helo , M. Hirsch , S. G. Kovalenko , H. Pas

In the 21st-century information age, with the development of big data technology, effectively extracting valuable information from massive data has become a key issue. Traditional data mining methods are inadequate when faced with…

Computer Vision and Pattern Recognition · Computer Science 2024-11-28 Aoran Shen , Minghao Dai , Jiacheng Hu , Yingbin Liang , Shiru Wang , Junliang Du

Although Support Vector Machine (SVM) algorithm has a high generalization property to classify for unseen examples after training phase and it has small loss value, the algorithm is not suitable for real-life classification and regression…

Machine Learning · Computer Science 2013-12-17 Ferhat Özgür Çatak , Mehmet Erdal Balaban

We consider Benders decomposition for solving two-stage stochastic programs with complete recourse based on finite samples of the uncertain parameters. We define the Benders cuts binding at the final optimal solution or the ones…

Optimization and Control · Mathematics 2020-10-16 Huiwen Jia , Siqian Shen

We introduce a principal support vector machine (PSVM) approach that can be used for both linear and nonlinear sufficient dimension reduction. The basic idea is to divide the response variables into slices and use a modified form of support…

Statistics Theory · Mathematics 2012-03-14 Bing Li , Andreas Artemiou , Lexin Li

A new version of the semiempirical formula based on fission approach of alpha decay is derived, by using the optimum values of the fitting parameters determined for even-even nuclei, combined with hindrance factors for even-odd, odd-even,…

Nuclear Theory · Physics 2008-11-26 D. N. Poenaru , R. A. Gherghescu , N. Carjan

Segmentation of lymphoma lesions is challenging due to their varied sizes and locations in whole-body PET scans. This work presents a fully-automated segmentation technique using a multi-center dataset of diffuse large B-cell lymphoma…

Tasks like image reconstruction in computer vision, matrix completion in recommender systems and link prediction in graph theory, are well studied in machine learning literature. In this work, we apply a denoising autoencoder-based neural…

Machine Learning · Computer Science 2021-03-15 Edouard Balzin , Boris Shminke

We introduce Natural Learning (NL), a novel algorithm that elevates the explainability and interpretability of machine learning to an extreme level. NL simplifies decisions into intuitive rules, like "We rejected your loan because your…

Machine Learning · Computer Science 2024-04-10 Hadi Fanaee-T

The field of neural machine translation (NMT) has changed with the advent of large language models (LLMs). Much of the recent emphasis in natural language processing (NLP) has been on modeling machine translation and many other problems…

Computation and Language · Computer Science 2025-06-03 Yingfeng Luo , Tong Zheng , Yongyu Mu , Bei Li , Qinghong Zhang , Yongqi Gao , Ziqiang Xu , Peinan Feng , Xiaoqian Liu , Tong Xiao , Jingbo Zhu

Support Vector Machines (SVMs) are well-established Machine Learning (ML) algorithms. They rely on the fact that i) linear learning can be formalized as a well-posed optimization problem; ii) non-linear learning can be brought into linear…

Artificial Intelligence · Computer Science 2016-08-16 Christian Gagné , Marc Schoenauer , Michèle Sebag , Marco Tomassini

In this work, a novel approach for the construction and training of time series models is presented that deals with the problem of learning on large time series with non-equispaced observations, which at the same time may possess features…

Machine Learning · Computer Science 2020-11-25 Charilaos Mylonas , Eleni Chatzi

Unsupervised learning aims at the discovery of hidden structure that drives the observations in the real world. It is essential for success in modern machine learning. Latent variable models are versatile in unsupervised learning and have…

Machine Learning · Computer Science 2016-06-13 Furong Huang

We propose and compare new global solution algorithms for continuous time heterogeneous agent economies with aggregate shocks. First, we approximate the agent distribution so that equilibrium in the economy can be characterized by a high,…

Optimization and Control · Mathematics 2024-06-21 Zhouzhou Gu , Mathieu Laurière , Sebastian Merkel , Jonathan Payne

We study the dynamic portfolio selection of an investor who uses deep learning methods to forecast stock market excess returns. In a two-asset allocation problem, deep neural networks -- both feedforward and long short-term memory (LSTM)…

General Finance · Quantitative Finance 2026-02-16 Mykola Babiak , Jozef Barunik

In this paper, we adopt a probability distribution estimation perspective to explore the optimization mechanisms of supervised classification using deep neural networks. We demonstrate that, when employing the Fenchel-Young loss, despite…

Machine Learning · Computer Science 2025-04-01 Binchuan Qi , Wei Gong , Li Li

The experimentally available data on the alpha decay half lives and Q? values for 96 superheavy nuclei are used to fix the parameters for a modified version of the Brown empirical formula through two fitting procedures which enables its…

Nuclear Theory · Physics 2016-04-06 A. I. Budaca , R. Budaca , I. Silisteanu