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We propose a novel Bregman descent algorithm for minimizing a convex function that is expressed as the sum of a differentiable part (defined over an open set) and a possibly nonsmooth term. The approach, referred to as the Variable Bregman…

Machine Learning · Computer Science 2025-02-06 Ségolène Martin , Jean-Christophe Pesquet , Gabriele Steidl , Ismail Ben Ayed

Seismic full waveform inversion (FWI) is a powerful technique to generate high resolution images of the Earth's interior. However, significant uncertainty exists in all FWI solutions due to imperfect acquisition geometries, inherent noise…

Geophysics · Physics 2026-03-13 Xuebin Zhao , Andrew Curtis

Non-concave maximization has been the subject of much recent study in the optimization and machine learning communities, specifically in deep learning. Recent papers Ge et al, Lee et al (and references therein) indicate that first order…

Optimization and Control · Mathematics 2020-01-14 Ioannis Panageas , Georgios Piliouras , Xiao Wang

In the present paper, Probability weighted moments (PWMs) method for parameter estimation of the median based unit weibull (MBUW) distribution is discussed. The most widely used first order PWMs is compared with the higher order PWMs for…

Methodology · Statistics 2025-11-20 Iman Mohammed Attia

Standard system identification methods often provide inconsistent estimates with closed-loop data. With the prediction error method (PEM), this issue is solved by using a noise model that is flexible enough to capture the noise spectrum.…

Systems and Control · Computer Science 2018-09-07 Miguel Galrinho , Cristian R. Rojas , Hakan Hjalmarsson

Full-waveform inversion (FWI) is a powerful seismic imaging technique used to estimate high-resolution physical properties of subsurface structures by minimizing the misfit between observed and modeled seismic data. FWI is inherently a…

Geophysics · Physics 2025-12-19 Kamal Aghazade , Toktam Zand , Ali Gholami

Full-Waveform Inversion (FWI) has now become a widely accepted tool to obtain high-resolution velocity models from seismic data. Typically, the velocity model in its discrete form is represented on a rectangular grid, and we solve for the…

Geophysics · Physics 2022-01-25 Reetam Biswas , Mrinal K. Sen

User and item features of side information are crucial for accurate recommendation. However, the large number of feature dimensions, e.g., usually larger than 10^7, results in expensive storage and computational cost. This prohibits fast…

Information Retrieval · Computer Science 2018-09-20 Han Liu , Xiangnan He , Fuli Feng , Liqiang Nie , Rui Liu , Hanwang Zhang

Qualitative models provide crucial instruments for modelling complex biological systems. While advances in automated reasoning and symbolic encodings have enabled rigorous inference of these models from data, the process remains highly…

Molecular Networks · Quantitative Biology 2026-05-14 Ondřej Huvar , Nikola Beneš , Martin Jonáš , David Šafránek , Samuel Pastva

Fuzzy Dark Matter (FDM) has recently emerged as an interesting alternative model to the standard Cold Dark Matter (CDM). In this model, dark matter consists of very light bosonic particles with quantum mechanical effects on galactic scales.…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-08 Sana Elgamal , Matteo Nori , Andrea V. Macciò , Marco Baldi , Stefan Waterval

In real-life challenges, unforeseen and unknown occurrences commonly influence the data values, which may affect the performance of the problems. The performance of decision-making units (DMUs) is determined using the slack-based measure…

Optimization and Control · Mathematics 2021-10-22 Alka Arya , Shubham Singh

This paper introduces a Multi-Strategy Improved Black Widow Optimization Algorithm (MSBWOA), designed to enhance the performance of the standard Black Widow Algorithm (BW) in solving complex optimization problems. The proposed algorithm…

Neural and Evolutionary Computing · Computer Science 2023-12-22 Xin Xu

In some complicated datasets, due to the presence of noisy data points and outliers, cluster validity indices can give conflicting results in determining the optimal number of clusters. This paper presents a new validity index for…

Machine Learning · Computer Science 2020-05-20 Mohammad Hossein Fazel Zarandi , Shahabeddin Sotudian , Oscar Castillo

While deep neural networks are highly performant and successful in a wide range of real-world problems, estimating their predictive uncertainty remains a challenging task. To address this challenge, we propose and implement a loss function…

Machine Learning · Computer Science 2022-10-14 Tony Tohme , Kevin Vanslette , Kamal Youcef-Toumi

The large-scale multiple testing inherent to high throughput biological data necessitates very high statistical stringency and thus true effects in data are difficult to detect unless they have high effect sizes. One promising approach for…

Methodology · Statistics 2022-03-14 Mohamad Hasan , Paul Schliekelman

In feed-forward neural networks, dataset-free weight-initialization methods such as LeCun, Xavier (or Glorot), and He initializations have been developed. These methods randomly determine the initial values of weight parameters based on…

Machine Learning · Statistics 2025-11-13 Muneki Yasuda , Ryosuke Maeno , Chako Takahashi

In most gene expression data, the number of training samples is very small compared to the large number of genes involved in the experiments. However, among the large amount of genes, only a small fraction is effective for performing a…

Machine Learning · Computer Science 2013-06-07 T. Chandrasekhar , K. Thangavel , E. N. Sathishkumar

Fuzzy rough feature selection (FRFS) is an effective means of addressing the curse of dimensionality in high-dimensional data. By removing redundant and irrelevant features, FRFS helps mitigate classifier overfitting, enhance generalization…

Machine Learning · Computer Science 2025-05-22 Suping Xu , Lin Shang , Keyu Liu , Hengrong Ju , Xibei Yang , Witold Pedrycz

We present a new distributed fuzzy partitioning method to reduce the complexity of multi-way fuzzy decision trees in Big Data classification problems. The proposed algorithm builds a fixed number of fuzzy sets for all variables and adjusts…

Machine Learning · Computer Science 2019-03-04 Mikel Elkano , Mikel Uriz , Humberto Bustince , Mikel Galar

In modern computer experiment applications, one often encounters the situation where various models of a physical system are considered, each implemented as a simulator on a computer. An important question in such a setting is determining…

Methodology · Statistics 2023-05-08 John C. Yannotty , Thomas J. Santner , Richard J. Furnstahl , Matthew T. Pratola