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High-performance tensor programs are crucial to guarantee efficient execution of deep neural networks. However, obtaining performant tensor programs for different operators on various hardware platforms is notoriously challenging.…

Tensor clustering, which seeks to extract underlying cluster structures from noisy tensor observations, has gained increasing attention. One extensively studied model for tensor clustering is the tensor block model, which postulates the…

Statistics Theory · Mathematics 2023-11-07 Yuchen Zhou , Yuxin Chen

Efficient probability density estimation is a core challenge in statistical machine learning. Tensor-based probabilistic graph methods address interpretability and stability concerns encountered in neural network approaches. However, a…

Machine Learning · Computer Science 2023-12-14 Ruituo Wu , Jiani Liu , Ce Zhu , Anh-Huy Phan , Ivan V. Oseledets , Yipeng Liu

Learning Bayesian networks is often cast as an optimization problem, where the computational task is to find a structure that maximizes a statistically motivated score. By and large, existing learning tools address this optimization problem…

Machine Learning · Computer Science 2013-01-30 Nir Friedman , Iftach Nachman , Dana Pe'er

Network node embedding is an active research subfield of complex network analysis. This paper contributes a novel approach to learning network node embeddings and direct node classification using a node ranking scheme coupled with an…

Machine Learning · Computer Science 2021-09-14 Blaž Škrlj , Jan Kralj , Janez Konc , Marko Robnik-Šikonja , Nada Lavrač

Deep neural networks (DNNs) are powerful machine learning models and have succeeded in various artificial intelligence tasks. Although various architectures and modules for the DNNs have been proposed, selecting and designing the…

Neural and Evolutionary Computing · Computer Science 2018-01-24 Shinichi Shirakawa , Yasushi Iwata , Youhei Akimoto

Recently a deterministic method, frequent directions (FD) is proposed to solve the high dimensional low rank approximation problem. It works well in practice, but experiences high computational cost. In this paper, we establish a fast…

Numerical Analysis · Mathematics 2018-10-09 Dan Teng , Delin Chu

Learning-to-Rank (LTR) is a supervised machine learning approach that constructs models specifically designed to order a set of items or documents based on their relevance or importance to a given query or context. Despite significant…

Information Retrieval · Computer Science 2026-04-17 Camilo Gomez , Pengyang Wang , Yanjie Fu

Allostery plays a crucial role in regulating protein activity, making it a highly sought-after target in drug development. One of the major challenges in allosteric drug research is the identification of allosteric sites. In recent years,…

Quantitative Methods · Quantitative Biology 2023-05-02 Hao Tian , Sian Xiao , Xi Jiang , Peng Tao

Dynamical low-rank approximation by tree tensor networks is studied for the data-sparse approximation to large time-dependent data tensors and unknown solutions of tensor differential equations. A time integration method for tree tensor…

Numerical Analysis · Mathematics 2020-08-24 Gianluca Ceruti , Christian Lubich , Hanna Walach

The A* algorithm is commonly used to solve NP-hard combinatorial optimization problems. When provided with a completely informed heuristic function, A* solves many NP-hard minimum-cost path problems in time polynomial in the branching…

Artificial Intelligence · Computer Science 2022-12-09 Sumedh Pendurkar , Taoan Huang , Sven Koenig , Guni Sharon

The Nystr\"om method is a convenient heuristic method to obtain low-rank approximations to kernel matrices in nearly linear complexity. Existing studies typically use the method to approximate positive semidefinite matrices with low or…

Numerical Analysis · Mathematics 2023-07-13 Jianlin Xia

The topological information is essential for studying the relationship between nodes in a network. Recently, Network Representation Learning (NRL), which projects a network into a low-dimensional vector space, has been shown their…

Social and Information Networks · Computer Science 2019-02-19 Guoji Fu , Chengbin Hou , Xin Yao

A focused crawler aims at discovering as many web pages and web sites relevant to a target topic as possible, while avoiding irrelevant ones. Reinforcement Learning (RL) has been a promising direction for optimizing focused crawling,…

Information Retrieval · Computer Science 2025-05-20 Andreas Kontogiannis , Dimitrios Kelesis , Vasilis Pollatos , George Giannakopoulos , Georgios Paliouras

Rapidly-exploring Random Tree Star(RRT*) is a recently proposed extension of Rapidly-exploring Random Tree (RRT) algorithm that provides a collision-free, asymptotically optimal path regardless of obstacle's geometry in a given environment.…

Robotics · Computer Science 2017-04-04 Ahmed Hussain Qureshi , Yasar Ayaz

Tensor ring (TR) decomposition is a simple but effective tensor network for analyzing and interpreting latent patterns of tensors. In this work, we propose a doubly randomized optimization framework for computing TR decomposition. It can be…

Numerical Analysis · Mathematics 2023-03-30 Yajie Yu , Hanyu Li , Jingchun Zhou

Neural networks achieve state-of-the-art performance in image classification, speech recognition, scientific analysis and many more application areas. Due to the high computational complexity and memory footprint of neural networks, various…

Hardware Architecture · Computer Science 2025-04-21 Benjamin Ramhorst , Vladimir Loncar , George A. Constantinides

Nowadays, neural networks play an important role in the task of relation classification. By designing different neural architectures, researchers have improved the performance to a large extent in comparison with traditional methods.…

Computation and Language · Computer Science 2016-10-14 Yan Xu , Ran Jia , Lili Mou , Ge Li , Yunchuan Chen , Yangyang Lu , Zhi Jin

Tensors are a natural way to express correlations among many physical variables, but storing tensors in a computer naively requires memory which scales exponentially in the rank of the tensor. This is not optimal, as the required memory is…

Computational Physics · Physics 2018-12-03 Adam S. Jermyn

This study investigates the potential of hybrid metaheuristic algorithms to enhance the training of Probabilistic Neural Networks (PNNs) by leveraging the complementary strengths of multiple optimisation strategies. Traditional learning…

Neural and Evolutionary Computing · Computer Science 2025-04-16 Piotr A. Kowalski , Szymon Kucharczyk , Jacek Mańdziuk