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Training model to generate data has increasingly attracted research attention and become important in modern world applications. We propose in this paper a new geometry-based optimization approach to address this problem. Orthogonal to…

Machine Learning · Computer Science 2017-08-18 Trung Le , Hung Vu , Tu Dinh Nguyen , Dinh Phung

Deep learning optimization exhibits structure that is not captured by worst-case gradient bounds. Empirically, gradients along training trajectories are often temporally predictable and evolve within a low-dimensional subspace. In this work…

Machine Learning · Computer Science 2026-01-09 Anherutowa Calvo

In recent years, manifold learning has become increasingly popular as a tool for performing non-linear dimensionality reduction. This has led to the development of numerous algorithms of varying degrees of complexity that aim to recover man…

Machine Learning · Statistics 2013-06-03 Dominique Perraul-Joncas , Marina Meila

Despite significant advances in the field of deep learning in ap-plications to various areas, an explanation of the learning pro-cess of neural network models remains an important open ques-tion. The purpose of this paper is a comprehensive…

Machine Learning · Computer Science 2023-06-07 German Magai

Manifold learning techniques, such as Locally linear embedding (LLE), are designed to preserve the local neighborhood structures of high-dimensional data during dimensionality reduction. Traditional LLE employs Euclidean distance to define…

Machine Learning · Computer Science 2025-04-10 Ali Goli , Mahdieh Alizadeh , Hadi Sadoghi Yazdi

Nonlinear manifold learning from unorganized data points is a very challenging unsupervised learning and data visualization problem with a great variety of applications. In this paper we present a new algorithm for manifold learning and…

Machine Learning · Computer Science 2016-08-31 Zhenyue Zhang , Hongyuan Zha

Manifold learning is a fundamental task at the core of data analysis and visualisation. It aims to capture the simple underlying structure of complex high-dimensional data by preserving pairwise dissimilarities in low-dimensional…

Machine Learning · Computer Science 2026-03-13 Thomas Dagès , Simon Weber , Daniel Cremers , Ron Kimmel

Modern machine learning algorithms have been adopted in a range of signal-processing applications spanning computer vision, natural language processing, and artificial intelligence. Many relevant problems involve subspace-structured…

Machine Learning · Computer Science 2018-08-14 Jiayao Zhang , Guangxu Zhu , Robert W. Heath , Kaibin Huang

Graph embeddings play a critical role in graph representation learning, allowing machine learning models to explore and interpret graph-structured data. However, existing methods often rely on opaque, high-dimensional embeddings, limiting…

Machine Learning · Computer Science 2025-11-26 Astrit Tola , Funmilola Mary Taiwo , Cuneyt Gurcan Akcora , Baris Coskunuzer

Among the evolutionary methods, one that is quite prominent is Genetic Programming, and, in recent years, a variant called Geometric Semantic Genetic Programming (GSGP) has shown to be successfully applicable to many real-world problems.…

Neural and Evolutionary Computing · Computer Science 2022-05-06 Mauro Castelli , Luca Manzoni , Luca Mariot , Giuliamaria Menara , Gloria Pietropolli

Neuro-encoded expression programming(NEEP) that aims to offer a novel continuous representation of combinatorial encoding for genetic programming methods is proposed in this paper. Genetic programming with linear representation uses…

Neural and Evolutionary Computing · Computer Science 2021-04-12 Aftab Anjum , Fengyang Sun , Lin Wang , Jeff Orchard

Deep learning has achieved a remarkable performance breakthrough in several fields, most notably in speech recognition, natural language processing, and computer vision. In particular, convolutional neural network (CNN) architectures…

Computer Vision and Pattern Recognition · Computer Science 2016-12-08 Federico Monti , Davide Boscaini , Jonathan Masci , Emanuele Rodolà , Jan Svoboda , Michael M. Bronstein

Learning based hashing methods have attracted considerable attention due to their ability to greatly increase the scale at which existing algorithms may operate. Most of these methods are designed to generate binary codes that preserve the…

Machine Learning · Computer Science 2016-11-17 Fumin Shen , Chunhua Shen , Qinfeng Shi , Anton van den Hengel , Zhenmin Tang

Spatial transcriptomics studies are becoming increasingly large and commonplace, necessitating simultaneous analysis of a large number of spatially resolved variables. Correspondingly, a diverse range of methodologies have been proposed to…

Quantitative Methods · Quantitative Biology 2025-09-09 James Boyle , Gregory Hamm , Eleanor Williams , Robin JG Hartman , Magnus Soderburg , Ian Henry , Michael Casey

Protein engineering is experiencing a paradigmatic shift through the integration of geometric deep learning into computational design workflows. While traditional strategies, such as rational design and directed evolution, have enabled…

It is often of interest to infer lower-dimensional structure underlying complex data. As a flexible class of non-linear structures, it is common to focus on Riemannian manifolds. Most existing manifold learning algorithms replace the…

Machine Learning · Statistics 2026-01-27 David B Dunson , Nan Wu

Though manifold-based clustering has become a popular research topic, we observe that one important factor has been omitted by these works, namely that the defined clustering loss may corrupt the local and global structure of the latent…

Machine Learning · Computer Science 2021-10-12 Lirong Wu , Zicheng Liu , Zelin Zang , Jun Xia , Siyuan Li , Stan. Z Li

Active area of research in AI is the theory of manifold learning and finding lower-dimensional manifold representation on how we can learn geometry from data for providing better quality curated datasets. There are however various issues…

Machine Learning · Computer Science 2024-10-16 Liubov Tupikina , Kathuria Hritika

Ongoing progress in computational intelligence (CI) has led to an increased desire to apply CI techniques for the purpose of improving software engineering processes, particularly software testing. Existing state-of-the-art automated…

Neural and Evolutionary Computing · Computer Science 2023-02-16 Jarrod Goschen , Anna Sergeevna Bosman , Stefan Gruner

The latest deep learning approaches perform better than the state-of-the-art signal processing approaches in various image restoration tasks. However, if an image contains many patterns and structures, the performance of these CNNs is still…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Woong Bae , Jaejun Yoo , Jong Chul Ye