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Learning kernels in operators from data lies at the intersection of inverse problems and statistical learning, providing a powerful framework for capturing non-local dependencies in function spaces and high-dimensional settings. In contrast…

Statistics Theory · Mathematics 2025-06-24 Sichong Zhang , Xiong Wang , Fei Lu

We introduce the concept of scalable neural network kernels (SNNKs), the replacements of regular feedforward layers (FFLs), capable of approximating the latter, but with favorable computational properties. SNNKs effectively disentangle the…

Machine Learning · Computer Science 2024-03-07 Arijit Sehanobish , Krzysztof Choromanski , Yunfan Zhao , Avinava Dubey , Valerii Likhosherstov

As spiking neural networks (SNNs) are deployed increasingly in real-world efficiency critical applications, the security concerns in SNNs attract more attention. Currently, researchers have already demonstrated an SNN can be attacked with…

Neural and Evolutionary Computing · Computer Science 2022-05-04 Ling Liang , Kaidi Xu , Xing Hu , Lei Deng , Yuan Xie

In cellular Orthogonal Frequency Division Multiplexing (OFDM) networks, Co-Channel Interference (CCI) leads to severe degradation in the BER performance. To solve this problem, Maximum-Likelihood Estimation (MLE) CCI cancellation scheme has…

Information Theory · Computer Science 2009-12-10 Manar Mohaisen , KyungHi Chang

The removal of multiplicative Gamma noise is a critical research area in the application of synthetic aperture radar (SAR) imaging, where neural networks serve as a potent tool. However, real-world data often diverges from theoretical…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Yi Ran , Zhichang Guo , Jia Li , Yao Li , Martin Burger , Boying Wu

In this paper, the digital self-interference (SI) cancellation in a single radio frequency (RF) chain massive multi-input multi-output (MIMO) full-duplex (FD) orthogonal frequency division multiplexing (OFDM) system with phase noise is…

Information Theory · Computer Science 2023-08-11 Meng He , Chuan Huang

We often use perturbations to regularize neural models. For neural encoder-decoders, previous studies applied the scheduled sampling (Bengio et al., 2015) and adversarial perturbations (Sato et al., 2019) as perturbations but these methods…

Computation and Language · Computer Science 2021-04-06 Sho Takase , Shun Kiyono

Quantum theory allows the traversing of multiple channels in a superposition of different orders. When the order in which the channels are traversed is controlled by an auxiliary quantum system, various unknown parameters of the channels…

Quantum Physics · Physics 2023-09-27 A. Z. Goldberg , L. L. Sanchez-Soto , K. Heshami

Training recurrent neural networks (RNNs) is a hard problem due to degeneracies in the optimization landscape, a problem also known as vanishing/exploding gradients. Short of designing new RNN architectures, previous methods for dealing…

Neural and Evolutionary Computing · Computer Science 2020-02-11 A. Emin Orhan , Xaq Pitkow

Spiking Neural Networks (SNNs) are highly energy-efficient due to event-driven, sparse computation, but their training is challenged by spike non-differentiability and trade-offs among performance, efficiency, and biological plausibility.…

Neural and Evolutionary Computing · Computer Science 2026-01-30 Zihan Huang , Zijie Xu , Yihan Huang , Shanshan Jia , Tong Bu , Yiting Dong , Wenxuan Liu , Jianhao Ding , Zhaofei Yu , Tiejun Huang

In this paper, we focus on subspace-based learning problems, where data elements are linear subspaces instead of vectors. To handle this kind of data, Grassmann kernels were proposed to measure the space structure and used with classifiers,…

Machine Learning · Computer Science 2018-06-19 Junyuan Hong , Huanhuan Chen , Feng Lin

We evaluate the mutual information between the input and the output of a two layer network in the case of a noisy and non-linear analogue channel. In the case where the non-linearity is small with respect to the variability in the noise, we…

Statistical Mechanics · Physics 2009-10-31 E. Korutcheva , V. Del Prete , J. -P. Nadal

Gaussian noise induced by loss on Gaussian states may be corrected by distributing EPR entanglement through the loss channel, purifying the entanglement using a noiseless linear amplifier (NLA) and then using it for continuous-variable…

Quantum Physics · Physics 2018-03-28 Josephine Dias , Timothy C Ralph

A natural procedure is introduced to replace the traditional, perturbatively generated counter terms to yield a formulation of covariant, self-interacting, nonrenormalizable scalar quantum field theories that has the added virtue of…

High Energy Physics - Theory · Physics 2008-11-26 John R. Klauder

We develop a theory of spin noise in semiconductor nanowires considered as prospective elements for spintronics. In these structures spin-orbit coupling can be realized as a random function of coordinate correlated on the spatial scale of…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. M. Glazov , E. Ya. Sherman

We introduce modified energies that are suitable to get upper bounds on the high Sobolev norms for solutions to the $1$D periodic NLS. Our strategy is rather flexible and allows us to get a new and simpler proof of the bounds obtained by…

Analysis of PDEs · Mathematics 2025-03-06 Diego Berti , Fabrice Planchon , Nikolay Tzvetkov , Nicola Visciglia

Kernel machines have sustained continuous progress in the field of quantum chemistry. In particular, they have proven to be successful in the low-data regime of force field reconstruction. This is because many equivariances and invariances…

Chemical Physics · Physics 2023-07-12 Stefan Blücher , Klaus-Robert Müller , Stefan Chmiela

Spiking Neural Networks (SNNs) provide biological plausibility and energy efficiency, yet systematic investigations of memory augmentation strategies remain limited. We conduct a five-model ablation study integrating Leaky…

Neural and Evolutionary Computing · Computer Science 2026-03-11 Effiong Blessing , Chiung-Yi Tseng , Isaac Nkrumah , Junaid Rehman

Recent work has extensively shown that randomized perturbations of neural networks can improve robustness to adversarial attacks. The literature is, however, lacking a detailed compare-and-contrast of the latest proposals to understand what…

Machine Learning · Computer Science 2020-06-09 Adam Dziedzic , Sanjay Krishnan

Reliable communication over the discrete-input/continuous-output noncoherent multiple-input multiple-output (MIMO) Rayleigh block fading channel is considered when the signal-to-noise ratio (SNR) per degree of freedom is low. Two key…

Information Theory · Computer Science 2008-09-22 Shivratna Giri Srinivasan , Mahesh K. Varanasi
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