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Recent advances in learning aligned multimodal representations have been primarily driven by training large neural networks on massive, noisy paired-modality datasets. In this work, we ask whether it is possible to achieve similar results…

机器学习 · 计算机科学 2022-10-11 Elan Rosenfeld , Preetum Nakkiran , Hadi Pouransari , Oncel Tuzel , Fartash Faghri

We consider the propagation of classical and non-classical light in multi-mode optical waveguides. We focus on the evolution of the few-photon correlation functions, which, much like the light-intensity distribution in such systems, evolve…

量子物理 · 物理学 2012-01-19 Eilon Poem , Yaron Silberberg

Optical parametric down-conversion is a common source for the generation of non-classical correlated photonic states. Using a parametric down-conversion source and photon-number resolving detectors, we measure the two-mode photon-number…

量子物理 · 物理学 2014-02-04 L. Dovrat , M. Bakstein , D. Istrati , E. Megidish , A. Halevy , H. S. Eisenberg

It is well known that changing boundary conditions for the Laplacian from Dirichlet to Neumann can result in significant changes to the associated eigenmodes, while keeping the eigenvalues close. We present a new and efficient approach for…

数学物理 · 物理学 2019-07-26 Habib Ammari , Oscar Bruno , Kthim Imeri , Nilima Nigam

In this paper, a new multi-source wideband direction of arrival (MSW-DOA) estimation method is proposed for the signal with non-uniform distribution using the sub-array of uniform linear array. Different from conventional methods, based on…

音频与语音处理 · 电气工程与系统科学 2022-04-12 Jing Zhou , Changchun Bao

Following the recent progress on the calculation of three-point correlators with two "heavy" (with large quantum numbers) and one "light" states at strong coupling, we compute the logarithmic divergent terms of leading bosonic quantum…

高能物理 - 理论 · 物理学 2015-05-28 D. Arnaudov , R. C. Rashkov

This paper introduces and studies the convergence properties of a new class of explicit $\epsilon$-subgradient methods for the task of minimizing a convex function over the set of minimizers of another convex minimization problem. The…

最优化与控制 · 数学 2019-04-03 Elias Salomão Helou , Lucas Eduardo Azevedo Simões

Random plane wave is conjectured to be a universal model for high-energy eigenfunctions of the Laplace operator on generic compact Riemanian manifolds. This is known to be true on average. In the present paper we discuss one of important…

数学物理 · 物理学 2018-01-09 Dmitry Beliaev , Valentina Cammarota , Igor Wigman

This paper is devoted to a general min-max characterization of the eigenvalues in a gap of the essential spectrum of a self-adjoint unbounded operator. We prove an abstract theorem, then we apply it to the case of Dirac operators with a…

谱理论 · 数学 2022-06-14 Jean Dolbeault , Maria J. Esteban , Eric Séré

In this paper, we obtain a new class of functions, which is developed via the Hermite--Hadamard inequality for convex functions. The well-known one-one correspondence between the class of operator monotone functions and operator connections…

泛函分析 · 数学 2021-07-23 R. Pal , M. Singh , M. S. Moslehian , J. S. Aujla

The higher-order corrections become increasingly important with experiments reaching sub-percent level of uncertainty as they look for physics beyond the Standard Model. Our goal is to address the full set of two-loop electroweak…

高能物理 - 理论 · 物理学 2018-11-12 A. Aleksejevs

Dual averaging-type methods are widely used in industrial machine learning applications due to their ability to promoting solution structure (e.g., sparsity) efficiently. In this paper, we propose a novel accelerated dual-averaging…

最优化与控制 · 数学 2020-01-17 Conghui Tan , Yuqiu Qian , Shiqian Ma , Tong Zhang

Using a ``wall'' of quark point sources, we invert the chirally improved Dirac operator to create an ``incoherent'' collection of quark propagators which originate from all spatial points of the source time slice. The lowest-order NRQCD…

高能物理 - 格点 · 物理学 2009-11-10 Tommy Burch , Christof Gattringer , Andreas Schäfer

We consider the two-point correlation function of the photodissociation cross section in molecules where the fragmentation process is indirect, passing through resonances above the dissociation threshold. In the limit of overlapping…

凝聚态物理 · 物理学 2009-10-31 Oded Agam

It is a well known general principle that the Fourier transform of a random measure is small, except at the zero frequency, in various senses for appropriate notions of randomness. In this note we develop analogues of this principle for two…

经典分析与常微分方程 · 数学 2011-08-30 Michael Christ

Mond and Pecaric introduced a method to simplify the determination of complementary inequalities for Jensen's inequality by converting it into a single-variable maximization or minimization problem of continuous functions. This principle…

泛函分析 · 数学 2024-05-28 Shih-Yu Chang

Recent theoretical and experimental studies have shown that squeezed states of light can be engineered to enhance the resolution of nonlinear optical measurements. Here, we analyze non-degenerate two-photon absorption signals obtained from…

量子物理 · 物理学 2025-06-10 Gaurav Shukla , Shahram Panahiyan , Devendra Kumar Mishra , Frank Schlawin

In this paper, the asymptotic distributions of estimators for the regularized functional canonical correlation and variates of the population are derived. The method is based on the possibility of expressing these regularized quantities as…

统计理论 · 数学 2007-11-29 J. Cupidon , D. S. Gilliam , R. Eubank , F. Ruymgaart

We propose a formalism to take account of the correction of the spatial fluctuations to the local self-energy obtained by the dynamical mean-field approximation. For this purpose, the approximate dynamical susceptibility in the framework of…

强关联电子 · 物理学 2009-11-11 Hiroaki Kusunose

We construct an $O(a^2)$-improved overlap-Dirac operator by designing an improved overlap kernel, based on the Symanzik improvement program. Field rotation terms are also identified to improve off-shell amplitudes for both massless and…

高能物理 - 格点 · 物理学 2010-11-05 H. Ikeda , S. Hashimoto
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