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Recent theoretical advances reveal that the Hadamard product induces nonlinear representations and implicit high-dimensional mappings for the field of deep learning, yet their practical deployment in resource-constrained vision models…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Xuyang Zhang , Xi Zhang , Liang Chen , Hao Shi , Qingshan Guo

Bilinear models provide rich representations compared with linear models. They have been applied in various visual tasks, such as object recognition, segmentation, and visual question-answering, to get state-of-the-art performances taking…

Computer Vision and Pattern Recognition · Computer Science 2017-03-28 Jin-Hwa Kim , Kyoung-Woon On , Woosang Lim , Jeonghee Kim , Jung-Woo Ha , Byoung-Tak Zhang

The distinction between genuine and posed emotions represents a fundamental pattern recognition challenge with significant implications for data mining applications in social sciences, healthcare, and human-computer interaction. While…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Mohammad Junayed Hasan , Nabeel Mohammed , Shafin Rahman , Philipp Koehn

Deep learning expresses a category of machine learning algorithms that have the capability to combine raw inputs into intermediate features layers. These deep learning algorithms have demonstrated great results in different fields. Deep…

Computer Vision and Pattern Recognition · Computer Science 2024-04-15 Sukhdeep Singh , Sudhir Rohilla , Anuj Sharma

Deep learning, a branch of artificial intelligence, is a data-driven method that uses multiple layers of interconnected units or neurons to learn intricate patterns and representations directly from raw input data. Empowered by this…

Machine Learning · Computer Science 2025-07-28 Mohd Halim Mohd Noor , Ayokunle Olalekan Ige

We propose a generalized class of multimodal fusion operators for the task of visual question answering (VQA). We identify generalizations of existing multimodal fusion operators based on the Hadamard product, and show that specific…

Machine Learning · Computer Science 2018-04-09 Brendan Duke , Graham W. Taylor

A notable difference between the ordinary and Hadamard products is that the Hadamard product of two singular positive semidefinite matrices can be nonsingular, and one of the factors can even be indefinite. We present an eigenvalue lower…

Signal Processing · Electrical Eng. & Systems 2026-04-22 Roger A. Horn , Shengxuan Luo , Hongwei Xu , Zai Yang

The Hadamard Layer, a simple and computationally efficient way to improve results in semantic segmentation tasks, is presented. This layer has no free parameters that require to be trained. Therefore it does not increase the number of model…

Computer Vision and Pattern Recognition · Computer Science 2023-02-22 Angello Hoyos , Mariano Rivera

Data-driven intelligent computational design (DICD) is a research hotspot emerged under the context of fast-developing artificial intelligence. It emphasizes on utilizing deep learning algorithms to extract and represent the design features…

Artificial Intelligence · Computer Science 2023-04-12 Maolin Yang , Pingyu Jiang , Tianshuo Zang , Yuhao Liu

The optimal design of compounds through manipulating properties at the molecular level is often the key to considerable scientific advances and improved process systems performance. This paper highlights key trends, challenges, and…

Biomolecules · Quantitative Biology 2020-07-13 Abdulelah S. Alshehri , Rafiqul Gani , Fengqi You

Deep learning technologies have demonstrated remarkable effectiveness in a wide range of tasks, and deep learning holds the potential to advance a multitude of applications, including in edge computing, where deep models are deployed on…

Machine Learning · Computer Science 2022-08-24 Dalin Zhang , Kaixuan Chen , Yan Zhao , Bin Yang , Lina Yao , Christian S. Jensen

The Hadamard decomposition is a powerful technique for data analysis and matrix compression, which decomposes a given matrix into the element-wise product of two or more low-rank matrices. In this paper, we develop an efficient algorithm to…

Machine Learning · Computer Science 2025-04-23 Samuel Wertz , Arnaud Vandaele , Nicolas Gillis

Tabular data remains one of the most prevalent data types across a wide range of real-world applications, yet effective representation learning for this domain poses unique challenges due to its irregular patterns, heterogeneous feature…

Machine Learning · Computer Science 2025-01-08 Weijieying Ren , Tianxiang Zhao , Yuqing Huang , Vasant Honavar

Deep learning methods have revolutionized speech recognition, image recognition, and natural language processing since 2010. Each of these tasks involves a single modality in their input signals. However, many applications in the artificial…

Artificial Intelligence · Computer Science 2020-07-15 Chao Zhang , Zichao Yang , Xiaodong He , Li Deng

Recent advancements in computational power and algorithms have enabled unabridged data (e.g., raw images or audio) to be used as input in some models (e.g., deep learning). However, the black box nature of such models reduces their…

Computer Vision and Pattern Recognition · Computer Science 2021-06-15 Jie Xu , Min Ding

The attention mechanism is an important reason for the success of transformers. It relies on computing pairwise relations between tokens. To reduce the high computational cost of standard quadratic attention, linear attention has been…

Artificial Intelligence · Computer Science 2026-02-13 Hanno Ackermann , Hong Cai , Mohsen Ghafoorian , Amirhossein Habibian

Reducing the cost of multiplications is critical for efficient deep neural network deployment, especially in energy-constrained edge devices. In this work, we introduce HTMA-Net, a novel framework that integrates the Hadamard Transform (HT)…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Emadeldeen Hamdan , Ahmet Enis Cetin

The rapid progress of Artificial Intelligence research came with the development of increasingly complex deep learning models, leading to growing challenges in terms of computational complexity, energy efficiency and interpretability. In…

Machine Learning · Computer Science 2023-06-28 Yuanrong Wang , Antonio Briola , Tomaso Aste

Effective decision-making in partially observable environments demands robust memory management. Despite their success in supervised learning, current deep-learning memory models struggle in reinforcement learning environments that are…

Machine Learning · Computer Science 2024-10-15 Hung Le , Kien Do , Dung Nguyen , Sunil Gupta , Svetha Venkatesh

We present a toolbox for extracting asymptotic information on the coefficients of combinatorial generating functions. This toolbox notably includes a treatment of the effect of Hadamard products on singularities in the context of the…

Combinatorics · Mathematics 2007-05-23 James Allen Fill , Philippe Flajolet , Nevin Kapur
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