Results 61 to 70 of about 163,902 (301)

Certain isometries related to the bilateral laplace transform

Mathematical Modelling and Analysis, 2006
We study certain isometries between Hilbert spaces, which are generated by the bilateral Laplace transform In particular, we construct an analog of the Bargmann‐Fock type reproducing kernel Hilbert space related to this transformation. It is shown
S. B. Yakubovich
doaj   +1 more source

Physical Interpretation of Diffractive Optical Networks for High‐Dimensional Vortex Mode Sorting

Advanced Science, EarlyView.
The first layer‐resolved physical interpretation of diffractive optical networks trained for high‐dimensional vortex mode sorting is presented, revealing transformation division phenomena linked to saturated performance as layer numbers increase. This analysis reconciles physical theorems with network operations, enabling physics‐driven design of ...
Ruitao Wu, Juncheng Fang, Rui Pan, Rongyi Lin, Kaiyuan Li, Ting Lei, Luping Du, Xiaocong Yuan   +7 more
wiley   +1 more source

Active Learning in Physics: From 101, to Progress, and Perspective

Advanced Quantum Technologies, EarlyView., 2023
In this review, the concept of active learning is introduced to the physicists at the level of beginner without requirement on background in machine learning. It includes most of the latest applications of active learning in branches of physics, covering but not being limited to quantum information, high energy physics, and condensed matter physics. It
Yongcheng Ding, José D. Martín‐Guerrero, Yolanda Vives‐Gilabert, Xi Chen   +3 more
wiley   +1 more source

Water‐Wave Pancharatnam‐Berry Phase Induced by 4D Spin‐Orbit State Evolution

Advanced Science, EarlyView.
The first observation of the Pancharatnam‐Berry (PB) phase in water waves is reported, revealing its extraordinary properties including unbounded phase values, spin‐momentum‐locked unidirectional channels, and a Poincaré hypersphere representation. These findings demonstrate the universality of the PB phase across different wave systems and in higher ...
Wanyue Xiao, Shiqi Jia, Tong Fu, Shubo Wang   +3 more
wiley   +1 more source

Boundedness of the Hilbert Transform on Rearrangement Invariant Spaces

Revista Integración
In this self-contained review, the aspects about the applications of decreasing rearrangement techniques to the analysis of pointwise estimates for the Hilbert transform are analyzed. We make a consistent revision of these techniques in the proof of the
Héctor Camilo Chaparro, René Erlin Castillo   +1 more
doaj   +1 more source

Long‐Term Stable Subdural Recordings Enabled by Fibrosis‐Resistant Hydrogel‐Integrated µECoG Arrays

Advanced Science, EarlyView.
An adhesive hydrogel‐integrated micro‐electrocorticography (aGel‐µECoG) array is developed to ensure stable neural recordings by minimizing neuroinflammation and fibrosis during implantation. The hydrogel serves as a biological and mechanical bridge, enabling bioadhesive, reversible, anti‐fibrotic integration with brain tissue.
Lin Chen, Hao Zhong, Linghao Wang, Liju Xu, Wanying Fan, Yongpeng Zhao, Huiling Zhang, Yang Shen, Kai Wu, Xin Fu, Jingxiang Guo, Ke Li, Dong Qiu, Ting Wu   +13 more
wiley   +1 more source

A General Approach to Dropout in Quantum Neural Networks

Advanced Quantum Technologies, EarlyView., 2023
Randomly dropping artificial neurons and all their connections in the training phase reduces overfitting issues in classical neural networks, thus improving performances on previously unseen data. The authors introduce different dropout strategies applied to quantum neural networks, learning models based on parametrized quantum circuits.
Francesco Scala, Andrea Ceschini, Massimo Panella, Dario Gerace   +3 more
wiley   +1 more source

Symmetry Breaking in Chemical Systems: Engineering Complexity Through Self‐Organization and Marangoni Flows

Advanced Science, EarlyView.
We show that solutal Marangoni flows in thin films climbing the outer surfaces of hydrophilic obstacles break circular Belousov‐Zhabotinsky waves into striking flower‐like patterns. Evaporation‐driven surface‐tension gradients, coupled with gravity, trigger the instability; above a threshold, petal number scales linearly with obstacle diameter ...
Sangram Gore, Binaya R. Paudyal, Duarte Rocha, Mohamed Ali, Nader Masmoudi, Albert J. Bae, Christian Diddens, Detlef Lohse, Oliver Steinbock, Azam Gholami   +9 more
wiley   +1 more source

Benefits of Open Quantum Systems for Quantum Machine Learning

Advanced Quantum Technologies, EarlyView., 2023
Quantum machine learning (QML), poised to transform data processing, faces challenges from environmental noise and dissipation. While traditional efforts seek to combat these hindrances, this perspective proposes harnessing them for potential advantages. Surprisingly, under certain conditions, noise and dissipation can benefit QML.
María Laura Olivera‐Atencio, Lucas Lamata, Jesús Casado‐Pascual   +2 more
wiley   +1 more source

Some properties of a modified Hilbert transform

Comptes Rendus. Mathématique
Recently, Steinbach et al. introduced a novel operator $\mathcal{H}_T: L^2(0,T) \rightarrow L^2(0,T)$, known as the modified Hilbert transform. This operator has shown its significance in space-time formulations related to the heat and wave equations. In
Ferrari, Matteo
doaj   +1 more source