Singular value

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Mathématiques
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Algèbre linéaire

Publications associées (27)

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T2 mapping for the characterization of prostate lesions

Tom Hilbert

Purpose Purpose of this study is to evaluate the diagnostic accuracy of quantitative T2/ADC values in differentiating between PCa and lesions showing non-specific inflammatory infiltrates and atrophy, features of chronic prostatitis, as the most common his ...

SPRINGER2022

Local invertibility and sensitivity of atomic structure-feature mappings

Michele Ceriotti, Sergey Pozdnyakov

Background: The increasingly common applications of machine-learning schemes to atomic-scale simulations have triggered efforts to better understand the mathematical properties of the mapping between the Cartesian coordinates of the atoms and the variety o ...

2021

Phase retrieval in high dimensions: Statistical and computational phase transitions

Florent Gérard Krzakala, Lenka Zdeborová, Bruno Loureiro, Bruno Loureiro

We consider the phase retrieval problem of reconstructing a n -dimensional real or complex signal X ⋆ from m (possibly noisy) observations Y μ = | ∑ n i = 1 Φ μ i X ⋆ i / √ n | , for a large class of correlated real and complex random sensing matrices Φ , ...

Curran Associates, Inc.2020

Property FW, differentiable structures and smoothability of singular actions

Yash Lodha, Nicolas Matte Bon

We provide a smoothening criterion for group actions on manifolds by singular diffeomorphisms. We prove that if a countable group Gamma has the fixed point property FW for walls (for example, if it has property(T)), every aperiodic action of Gamma by diffe ...

WILEY2020

Clinical implementation of accelerated T-2 mapping: Quantitative magnetic resonance imaging as a biomarker for annular tear and lumbar disc herniation

Tobias Kober, Tom Hilbert, Michael Weber

Objectives This study evaluates GRAPPATINI, an accelerated T-2 mapping sequence combining undersampling and model-based reconstruction to facilitate the clinical implementation of T-2 mapping of the lumbar intervertebral disc. Methods Fifty-eight individua ...

SPRINGER2021

Magnetization transfer in magnetic resonance fingerprinting

Tobias Kober, Tom Hilbert

Purpose To study the effects of magnetization transfer (MT, in which a semi-solid spin pool interacts with the free pool), in the context of magnetic resonance fingerprinting (MRF). Methods Simulations and phantom experiments were performed to study the im ...

WILEY2020

Protostructure, archéologie et hypothèse d'une architecture-support

Agathe Claire Estelle Mignon

« How do we pile up dwellings without sacrificing their independence ? » Nicolas John Habraken asks the question in those terms in the book he first published in Dutch in 1961 then in English in 1972, Supports: An Alternative to Mass Housing, as an introd ...

EPFL2019

Patient respiratory-triggered quantitative T-2 mapping in the pancreas

Tobias Kober, Tom Hilbert, Reto Meuli, Josefina Adriana Maria Bastiaansen

Background Long acquisition times and motion sensitivity limit T-2 mapping in the abdomen. Accelerated mapping at 3 T may allow for quantitative assessment of diffuse pancreatic disease in patients during free-breathing. Purpose To test the feasibility of ...

2019

Model-based super-resolution reconstruction of T-2 maps

Jean-Philippe Thiran, Tobias Kober, Tom Hilbert, Gian Franco Piredda, Reto Meuli, Mohammad Golbabaee, Wajiha Bano

Purpose High-resolution isotropic T-2 mapping of the human brain with multi-echo spin-echo (MESE) acquisitions is challenging. When using a 2D sequence, the resolution is limited by the slice thickness. If used as a 3D acquisition, specific absorption rate ...

Wiley2020

Fast model-based T-2 mapping using SAR-reduced simultaneous multislice excitation

Jean-Philippe Thiran, Tobias Kober, Tom Hilbert, José Pedro Rebelo Ferreira Marques, Gunnar Krüger

Purpose To obtain whole-brain high-resolution T-2 maps in 2 minutes by combining simultaneous multislice excitation and low-power PINS (power independent of number of slices) refocusing pulses with undersampling and a model-based reconstruction. Methods A ...

WILEY2019

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Clinical implementation of accelerated T-2 mapping: Quantitative magnetic resonance imaging as a biomarker for annular tear and lumbar disc herniation

Tobias Kober, Tom Hilbert, Michael Weber

SPRINGER2021