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 signals by projection on a low-dimensional linear subspace. In this paper, we focus on a setting where the imaging device allows us to sense a fixed set of measure...

In this paper we describe a novel approach to address the issue of different sampling frequencies in speech recognition. In general, when a recognition task needs a different sampling frequency from that of the reference system, it is customary to retrain the system for the new sampling rate. To circumvent the tedious training process, we propose a new approach termed Sampling Rate Transformati...

Compressed sensing theory indicates that selecting a few measurements independently at random is a near optimal strategy to sense sparse or compressible signals. This is infeasible in practice for many acquisition devices that acquire samples along continuous trajectories. Examples include magnetic resonance imaging (MRI), radio-interferometry, mobile-robot sampling, ... In this paper, we propo...

hold. The facts above are well-known as the classical Shannon sampling theorem initially proved by Ogura [10]. Ashino and Mandai [1] generalized the sampling theorem in Lebesgue spaces L0(R) for 1 < p0 < ∞. Their generalized sampling theorem is the following. Theorem 1.1 ([1]). Let r > 0 and 1 < p0 < ∞. Then for all f ∈ L 0(R) with supp f̂ ⊂ [−rπ, rπ], we have the norm inequality C p r ‖f‖Lp0(Rn...

The discriminating variable (DIVA) test and the selectivity ratio (SR) plot are developed as quantitative tools for revealing the variables in spectral or chromatographic profiles discriminating best between two groups of samples. The SR plot is visually similar to a spectrum or a chromatogram, but with the most intense regions corresponding to the most discriminating variables. Thus, the varia...

To assess white ash (Fraxinus americana) health status in the Allegheny Plateau region via 1) examination and refinement of existing FHM/FIA plot data and 2) establishment and sampling of additional ash health plots to enhance existing FHM/FIA data. This enhanced sampling will allow us to explore, in detail, how topographic position and site characteristics (e.g., soil pH and nutrition) are rel...

Regression Diagnostics John Maindonald October 7, 2013 1 Calibration of Regression Diagnostics Indications of departures from regression assumptions in diagnostic plots may reflect sampling variation. This is an especial issue for relatively small datasets. Diagnostic plots for a number of sets of simulated data may be an essential aid to judgement. In e↵ect, the observed diagnostic plot is jud...

Compressed sensing and magnetic resonance imaging are hot topics in the field of signal processing. In this study we introduced in Lustig’s variable density sampling method, integrated it to compressed sensing, and applied it to brain MRI acquisition. The realistic experiment shows the variable density sampling recovery better than traditional random sampling method on a 256x256 brain magnetic ...

The paper advocates the use of a statistical tool dedicated to the exploration of data samples populated by several sources of events. This new technique, called s Plot, is able to unfold the contributions of the different sources to the distribution of a data sample in a given variable. The s Plot tool applies in the context of a Likelihood fit which is performed on the data sample to determin...

A permanent assessment of climate regime in forest sites has a key role resource conservation and preservation ecosystem services, biodiversity landscape multi-functionality, informing sustainable management. In this view, time-series meteorological data relative to several monitoring from the ICP-Forest network Italy, were analyzed with aim define number site-specific observations, which can b...