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In this paper, we show how to transform any optimization problem that arises from fitting a machine learning model into one that (1) detects and removes contaminated data from the training set while (2) simultaneously fitting the trimmed…

Machine Learning · Statistics 2017-02-07 Aleksandr Aravkin , Damek Davis

The methods of extracting image features are the key to many image processing tasks. At present, the most popular method is the deep neural network which can automatically extract robust features through end-to-end training instead of…

Computer Vision and Pattern Recognition · Computer Science 2023-03-20 Xiang Ma , Liangzhe Chen , Zhaohong Deng , Peng Xu , Qisheng Yan , Kup-Sze Choi , Shitong Wang

Bayesian optimisation is an adaptive sampling strategy for constructing a Gaussian process surrogate to efficiently search for the global minimum of a black-box computational model. Gaussian processes have limited applicability in…

Applications · Statistics 2025-12-04 Thomas A. Archbold , Ieva Kazlauskaite , Fehmi Cirak

Most existing structured pruning methods for Large Language Models (LLMs) require substantial computational and data resources for retraining to reestablish the corrupted correlations, making them prohibitively expensive. To address this,…

Computation and Language · Computer Science 2025-06-11 Jiujun He , Huazhen Lin

We revisit the problem of fair representation learning by proposing Fair Partial Least Squares (PLS) components. PLS is widely used in statistics to efficiently reduce the dimension of the data by providing representation tailored for the…

Machine Learning · Computer Science 2025-02-25 Elena M. De-Diego , Adrián Perez-Suay , Paula Gordaliza , Jean-Michel Loubes

Unsupervised multi-view representation learning has been extensively studied for mining multi-view data. However, some critical challenges remain. On the one hand, the existing methods cannot explore multi-view data comprehensively since…

Artificial Intelligence · Computer Science 2023-09-21 Wei Zhang , Zhaohong Deng , Te Zhang , Kup-Sze Choi , Shitong Wang

Computer vision applications are omnipresent nowadays. The current paper explores the use of fuzzy logic in computer vision, stressing its role in handling uncertainty, noise, and imprecision in image data. Fuzzy logic is able to model…

Computer Vision and Pattern Recognition · Computer Science 2025-07-28 Adilet Yerkin , Ayan Igali , Elnara Kadyrgali , Maksat Shagyrov , Malika Ziyada , Muragul Muratbekova , Pakizar Shamoi

Logical rules are a popular knowledge representation language in many domains, representing background knowledge and encoding information that can be derived from given facts in a compact form. However, rule formulation is a complex process…

Artificial Intelligence · Computer Science 2020-02-13 Cristina Cornelio , Veronika Thost

The problem of adaptive learning from evolving and possibly non-stationary data streams has attracted a lot of interest in machine learning in the recent past, and also stimulated research in related fields, such as computational…

Machine Learning · Computer Science 2019-11-12 Ammar Shaker , Eyke Hüllermeier

Constructing first principles models is a challenging task for nonlinear and complex systems such as a wastewater treatment unit. In recent years, data-driven models are widely used to overcome the complexity. However, they often suffer…

Machine Learning · Computer Science 2024-01-23 Ece S. Koksal , Erdal Aydin

Embeddings play a pivotal role across various disciplines, offering compact representations of complex data structures. Randomized methods like Johnson-Lindenstrauss (JL) provide state-of-the-art and essentially unimprovable theoretical…

Machine Learning · Statistics 2024-12-11 Nikos Tsikouras , Constantine Caramanis , Christos Tzamos

This paper fortifies the recently introduced hierarchical-optimization recursive least squares (HO-RLS) against outliers which contaminate infrequently linear-regression models. Outliers are modeled as nuisance variables and are estimated…

Machine Learning · Computer Science 2019-10-15 Konstantinos Slavakis , Sinjini Banerjee

Here, we propose an unsupervised fuzzy rule-based dimensionality reduction method primarily for data visualization. It considers the following important issues relevant to dimensionality reduction-based data visualization: (i) preservation…

Machine Learning · Computer Science 2022-08-03 Suchismita Das , Nikhil R. Pal

Diffusion-based inverse algorithms have shown remarkable performance across various inverse problems, yet their reliance on numerous denoising steps incurs high computational costs. While recent developments of fast diffusion ODE solvers…

Computer Vision and Pattern Recognition · Computer Science 2025-10-22 Jiawei Zhang , Ziyuan Liu , Leon Yan , Gen Li , Yuantao Gu

There has been much recent progress in forecasting the next observation of a linear dynamical system (LDS), which is known as the improper learning, as well as in the estimation of its system matrices, which is known as the proper learning…

Optimization and Control · Mathematics 2024-02-28 Quan Zhou , Jakub Marecek

Fuzzy systems concern fundamental methodology to represent and process uncertainty and imprecision in the linguistic information. The fuzzy systems that use fuzzy rules to represent the domain knowledge of the problem are known as Fuzzy…

Computer Vision and Pattern Recognition · Computer Science 2012-06-21 Koushik Mondal , Paramartha Dutta , Siddhartha Bhattacharyya

In Few-Shot Learning (FSL), models are trained to recognise unseen objects from a query set, given a few labelled examples from a support set. In standard FSL, models are evaluated on query instances sampled from the same class distribution…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Mateusz Ochal , Massimiliano Patacchiola , Malik Boudiaf , Sen Wang

Optical neural network (ONN) is emerging as an attractive proposal for machine-learning applications, enabling high-speed computation with low-energy consumption. However, there are several challenges in applying ONN for industrial…

Optics · Physics 2019-05-21 Xiao-Ming Zhang , Man-Hong Yung

In this paper, we propose a new approach to justify a round-off error impact on the accuracy of the linear least squares (LS) solution using Cholesky decomposition. This decomposition is widely employed to inverse a matrix in the linear…

Information Theory · Computer Science 2024-04-09 Alexander Osinsky , Roman Bychkov , Mikhail Trefilov , Vladimir Lyashev , Andrey Ivanov

Many automatically analyzable scientific questions are well-posed and offer a variety of information about the expected outcome a priori. Although often being neglected, this prior knowledge can be systematically exploited to make automated…

Computer Vision and Pattern Recognition · Computer Science 2018-02-07 Johannes Stegmaier , Ralf Mikut