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This paper introduces a novel approach to probabilistic deep learning, kernel density matrices, which provide a simpler yet effective mechanism for representing joint probability distributions of both continuous and discrete random…

Machine Learning · Computer Science 2024-05-01 Fabio A. González , Raúl Ramos-Pollán , Joseph A. Gallego-Mejia

Machine learning and optimization algorithms have been widely applied in the design and optimization for photonic devices. In this article, we briefly review recent progress of this field of research and show some data-driven applications…

Optics · Physics 2020-07-15 Tian Zhang , Qi Liu , Yihang Dan , Shuai Yu , Xu Han , Jian Dai , Kun Xu

Machine learning methods have revolutionized the discovery process of new molecules and materials. However, the intensive training process of neural networks for molecules with ever-increasing complexity has resulted in exponential growth…

Emerging Technologies · Computer Science 2022-12-27 Hui Zhang , Jonathan Wei Zhong Lau , Lingxiao Wan , Liang Shi , Hong Cai , Xianshu Luo , Patrick Lo , Chee-Kong Lee , Leong-Chuan Kwek , Ai Qun Liu

With the advancement of computer technology, there is a surge of interest in effective mapping methods for objects in higher-dimensional spaces. To establish a one-to-one correspondence between objects, higher-dimensional quasi-conformal…

Computational Geometry · Computer Science 2022-06-30 Daoping Zhang , Gary P. T. Choi , Jianping Zhang , Lok Ming Lui

Artificial intelligence (AI) has experienced explosive growth in recent years. The large models have been widely applied in various fields, including natural language processing, image generation, and complex decision-making systems,…

Modern deep learning relies nearly exclusively on dedicated electronic hardware accelerators. Photonic approaches, with low consumption and high operation speed, are increasingly considered for inference but, to date, remain mostly limited…

We introduce a distributed quantum-classical framework that synergizes photonic quantum neural networks (QNNs) with matrix-product-state (MPS) mapping to achieve parameter-efficient training of classical neural networks. By leveraging…

Quantum Physics · Physics 2025-05-14 Kuan-Cheng Chen , Chen-Yu Liu , Yu Shang , Felix Burt , Kin K. Leung

High-dimensional (HD) entanglement promises both enhanced key rates and overcoming obstacles faced by modern-day quantum communication. However, modern convex optimization-based security arguments are limited by computational constraints;…

Quantum Physics · Physics 2025-07-04 Florian Kanitschar , Marcus Huber

In this paper, we introduce a new image representation based on a multilayer kernel machine. Unlike traditional kernel methods where data representation is decoupled from the prediction task, we learn how to shape the kernel with…

Machine Learning · Statistics 2016-10-26 Julien Mairal

Quantum computing has brought a paradigm change in computer science, where non-classical technologies have promised to outperform their classical counterpart. Such an advantage was only demonstrated for tasks without practical applications,…

We give a rigorous framework for the interaction of physical computing devices with abstract computation. Device and program are mediated by the non-logical 'representation relation'; we give the conditions under which representation and…

Logic in Computer Science · Computer Science 2015-10-29 Dominic C. Horsman

We study the use of hypermodels to represent epistemic uncertainty and guide exploration. This generalizes and extends the use of ensembles to approximate Thompson sampling. The computational cost of training an ensemble grows with its…

Machine Learning · Computer Science 2020-06-16 Vikranth Dwaracherla , Xiuyuan Lu , Morteza Ibrahimi , Ian Osband , Zheng Wen , Benjamin Van Roy

Photon losses are intrinsic for any translationally invariant optical imaging system with a non-trivial Point Spread Function, and the relation between the transmission factor and the coherence properties of an imaged object is universal --…

Quantum Physics · Physics 2022-04-27 Stanislaw Kurdzialek

Intermediate feature representations represent the backbone for the expressivity and adaptability of deep neural networks. However, their geometric structure remains poorly understood. In this submission, we provide indirect insights into…

Machine Learning · Computer Science 2026-05-13 Elias B. Krey , Nils Neukirch , Nils Strodthoff

Diffusion models have been shown to be capable of generating high-quality images, suggesting that they could contain meaningful internal representations. Unfortunately, the feature maps that encode a diffusion model's internal information…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Grace Luo , Lisa Dunlap , Dong Huk Park , Aleksander Holynski , Trevor Darrell

Transfer learning is a popular paradigm for utilizing existing knowledge from previous learning tasks to improve the performance of new ones. It has enjoyed numerous empirical successes and inspired a growing number of theoretical studies.…

Machine Learning · Computer Science 2023-05-23 Haoyang Cao , Haotian Gu , Xin Guo

Event cameras have recently gained significant traction since they open up new avenues for low-latency and low-power solutions to complex computer vision problems. To unlock these solutions, it is necessary to develop algorithms that can…

Computer Vision and Pattern Recognition · Computer Science 2023-09-28 Federico Paredes-Vallés , Kirk Y. W. Scheper , Christophe De Wagter , Guido C. H. E. de Croon

Photonic platforms have emerged as versatile and powerful classical simulators of quantum dynamics, providing clean, controllable optical analogs of extended structured (i.e., crystalline) electronic systems. While most realizations to date…

Optics · Physics 2026-01-07 Jiho Noh , Julian Schulz , Wladimir Benalcazar , Christina Jörg

Precise engineering of materials and surfaces has been at the heart of some of the recent advances in optics and photonics. These advances around the engineering of materials with new functionalities have also opened up exciting avenues for…

Image and Video Processing · Electrical Eng. & Systems 2021-01-25 Onur Kulce , Deniz Mengu , Yair Rivenson , Aydogan Ozcan

Internal representations are crucial for understanding deep neural networks, such as their properties and reasoning patterns, but remain difficult to interpret. While mapping from feature space to input space aids in interpreting the…

Computer Vision and Pattern Recognition · Computer Science 2026-01-15 Nils Neukirch , Johanna Vielhaben , Nils Strodthoff
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