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Estimating a high-dimensional sparse covariance matrix from a limited number of samples is a fundamental problem in contemporary data analysis. Most proposals to date, however, are not robust to outliers or heavy tails. Towards bridging…

统计理论 · 数学 2020-08-04 John Goes , Gilad Lerman , Boaz Nadler

We explore in detail the physics potential of a measurement of the ttbar invariant mass distribution. First, we assess the accuracy of the best available predictions for this observable and find that in the low invariant mass region, the…

高能物理 - 唯象学 · 物理学 2009-01-27 R. Frederix , F. Maltoni

We show that it is not possible to discriminate two close transparencies without a certain number of photons being absorbed. We extend this to the discrimination of patterns of transparency (images).

量子物理 · 物理学 2009-11-07 Serge Massar , Graeme Mitchison , Stefano Pironio

Topological insulator films are promising materials for optoelectronics due to a strong optical absorption and a thickness dependent band gap of the topological surface states. They are superior candidates for photodetector applications in…

介观与纳米尺度物理 · 物理学 2018-09-11 Mathias Rosdahl Brems , Jens Paaske , Anders Mathias Lunde , Morten Willatzen

It is a common practice to evaluate probability density function or matter spatial density function from statistical samples. Kernel density estimation is a frequently used method, but to select an optimal bandwidth of kernel estimation,…

统计方法学 · 统计学 2021-04-27 Zhen-Wei Li , Ping He

Recent results in compressed sensing showed that the optimal subsampling strategy should take into account the sparsity pattern of the signal at hand. This oracle-like knowledge, even though desirable, nevertheless remains elusive in most…

信息论 · 计算机科学 2023-06-28 Simon Ruetz

Wave scattering from a cylinder with a tensor impedance surface is investigated based on the Lorentz-Mie theory. A practical example of such a cylinder is a subwavelength metallic rod with helical dielectric-filled corrugations. The…

Upcoming wide-area weak lensing surveys are expensive both in time and cost and require an optimal survey design in order to attain maximum scientific returns from a fixed amount of available telescope time. The super-sample covariance…

宇宙学与河外天体物理 · 物理学 2015-06-19 Ryuichi Takahashi , Shunji Soma , Masahiro Takada , Issha Kayo

Intuitively, one would expect accuracy of a trained neural network's prediction on test samples to correlate with how densely the samples are surrounded by seen training samples in representation space. We find that a bound on empirical…

机器学习 · 计算机科学 2022-07-29 Xu Ji , Razvan Pascanu , Devon Hjelm , Balaji Lakshminarayanan , Andrea Vedaldi

Recent theoretical work suggested upper bounds on the operating bandwidths of flat lenses. Here, we show how these bounds can be circumvented via a multi-level diffractive lens (MDL) of diameter = 100 mm, focal length = 200 mm, device…

光学 · 物理学 2022-01-03 Apratim Majumder , Monjurul Meem , Nicole Brimhall , Rajesh Menon

A recurring question arises when trying to characterize, by means of measurements or theoretical calculations, the zenithal night sky brightness throughout a large territory: how many samples per square kilometer are needed? The optimum…

天体物理仪器与方法 · 物理学 2018-11-12 Salvador Bará

In the first part of the series papers, we set out to answer the following question: given specific restrictions on a set of samplers, what kind of signal can be uniquely represented by the corresponding samples attained, as the foundation…

信息论 · 计算机科学 2021-08-25 Hanshen Xiao , Yaowen Zhang , Guoqiang Xiao

A novel THz near-field spectrometer is presented which allows to perform biological and medical studies with high spectral resolution combined with a spatial resolution down to l/100. In the setup an aperture much smaller than the used…

生物物理 · 物理学 2009-11-07 S. Mair , B. Gompf , M. Dressel

Linear terahertz time-domain spectroscopy (THz-TDS) is a sensitive probe for material characterization including thickness measurements of thin layers. These applications critically rely on a sufficiently large bandwidth, which is not…

We report on a far above saturation absorption imaging technique to investigate the characteristics of dense packets of ultracold atoms. The transparency of the cloud is controlled by the incident light intensity as a result of the…

光学 · 物理学 2009-11-13 G. Reinaudi , T. Lahaye , Z. Wang , D. Guery-Odelin

Ray tracing is a versatile approach for precise sub-terahertz (sub-THz, 100-300 GHz) channel modeling when designing new mechanisms for beyond-6G cellular systems. Theoretically, wireless channels may exhibit variations over wavelength…

信号处理 · 电气工程与系统科学 2026-04-21 Hossein Amininasab , Huda Farooqui , Dmitri Moltchanov , Sergey Andreev , Michele Polese , Mikko Valkama , Josep M. Jornet

Subwavelength metallic resonators provide a route to achieving strong light-matter coupling by means of tight confinement of resonant electromagnetic fields. Investigation of such resonators however often presents experimental difficulties,…

Reducing acquisition time is a crucial challenge for many imaging techniques. Compressed Sensing (CS) theory offers an appealing framework to address this issue since it provides theoretical guarantees on the reconstruction of sparse…

应用统计 · 统计学 2014-07-17 Nicolas Chauffert , Philippe Ciuciu , Jonas Kahn , Pierre Weiss

On-chip THz spectroscopy enables quantitative measurements of the optical conductivity of sub-wavelength 2D materials by tightly confining THz fields in metallic transmission line structures interfaced to the material. However, because the…

The commonly cited rule of thumb for regression analysis, which suggests that a sample size of $n \geq 30$ is sufficient to ensure valid inferences, is frequently referenced but rarely scrutinized. This research note evaluates the lower…

统计方法学 · 统计学 2024-10-17 David Randahl