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We consider a density estimation problem arising in nuclear physics. Gamma photons are impinging on a semiconductor detector, producing pulses of current. The integral of this pulse is equal to the total amount of charge created by the photon in the detector, which is linearly related to the photon energy. Because the inter-arrival of photons can be shorter… (More)

- Thomas Trigano, Uri Isserles, Yaacov Ritov
- IEEE Transactions on Signal Processing
- 2011

We observe a large number of signals, all of them with identical, although unknown, shape, but with a different random shift. The objective is to estimate the individual time shifts and their distribution. Such an objective appears in several biological applications like neuroscience or ECG signal processing, in which the estimation of the distribution of… (More)

- Sandra Monzón, Thomas Trigano, David Luengo, Antonio Artés-Rodríguez
- 2012 IEEE International Workshop on Machine…
- 2012

Atrial fibrillation (AF) is a common heart disorder. One of the most prominent hypothesis about its initiation and maintenance considers multiple uncoordinated activation foci inside the atrium. However, the implicit assumption behind all the signal processing techniques used for AF, such as dominant frequency and organization analysis, is the existence of… (More)

- Thomas Trigano, Antoine Souloumiac, Thierry Montagu, François Roueff, Eric Moulines
- IEEE Transactions on Signal Processing
- 2007

We consider a nonlinear inversion problem occurring in gamma spectrometry. In that framework, photon energies are converted to electrical pulses which are susceptible to overlap, creating clusters of pulses, referred to as pileup. This phenomenon introduces a distortion that can be a nuisance for the correct identification of the radionuclides. In that… (More)

- Yann Sepulcre, Thomas Trigano, Yaacov Ritov
- IEEE Trans. Signal Processing
- 2013

We consider the counting rate estimation of an unknown radioactive source, which emits photons at times modeled by an homogeneous Poisson process. A spectrometer converts the energy of incoming photons into electrical pulses, whose number provides a rough estimate of the intensity of the Poisson process. When the activity of the source is high, a physical… (More)

- David Luengo, Javier Vía, Sandra Monzón, Thomas Trigano, Antonio Artés-Rodríguez
- 2013 IEEE International Conference on Acoustics…
- 2013

Negative co-occurrence is a common phenomenon in many signal processing applications. In some cases the signals involved are sparse, and this information can be exploited to recover them. In this paper, we present a sparse learning approach that explicitly takes into account negative co-occurrence. This is achieved by adding a novel penalty term to the… (More)

- Thomas Trigano, Thomas Dautremer, Eric Barat, Antoine Souloumiac
- ICASSP
- 2005

- Thomas Trigano, Uri Isserles, Yaacov Ritov
- 2008 16th European Signal Processing Conference
- 2008

We address the problem of curve alignment with a semiparametric framework, that is without any knowledge of the shape. This study stems from a biological issue, in which we are interested in the estimation of the average heart cycle signal, but wish to estimate it without any knowledge of the pulse shape, which may differ from one patient to another. We… (More)

- Yann Sepulcre, Thomas Trigano
- 2012 Proceedings of the 20th European Signal…
- 2012

The aim of nuclear spectroscopy is to provide as many information as possible regarding the activity and the content of an unknown radioactive source. Due to some random perturbations called pileup phenomenon, electrical pulses recorded by the spectrometric apparatus may overlap. Recent developments in compressive sensing and sparse signal reconstruction… (More)

- Thomas Trigano, Yann Sepulcre, Yaacov Ritov
- IEEE Transactions on Signal Processing
- 2017

One of the main objectives of nuclear spectroscopy is the estimation of the counting rate of unknown radioactive sources. Recently, we proposed an algorithm based on a sparse reconstruction of the time signal in order to estimate precisely this counting rate, under the assumption that it remained constant over time. Computable bounds were obtained to… (More)