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Circumventing the Curse of Dimensionality in Magnetic Resonance Fingerprinting through a Deep Learning Approach

Medical Physics · Submitted 28 Nov 2018

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim NN performance was greater or equal than dictionary-based approach in reconstructing MR parameter maps: the difference in performance increased with the number of estimated parameters, because the dictionary method suffers from the coarse resolution of the MR parameter space sampling.

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arXiv ID1811.11477 (version 1)
Pith ID4KMFYDC3, Pith's permanent record of this paper and its review
CitationClaudia Testa, Daniel Remondini, Enrico Giampieri, Francesco Solera, Gastone Castellani, Leonardo Brizi, Marco Barbieri. "Circumventing the Curse of Dimensionality in Magnetic Resonance Fingerprinting through a Deep Learning Approach." arXiv:1811.11477 (2018). https://pith.science/paper/4KMFYDC3
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,925 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.37 · human participants 0.05 · controlled comparison 0.84 · randomized assignment 0.04 · states quantitative result 0.10 · compares with prior results 0.97 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

MR fingerprinting (MRF) is a rapid growing approach for fast quantitave MRI. A typical drawback of dictionary-based MRF is its explosion in size as a function of the number of reconstructed parameters, according to the curse of dimensionality. Deep Neural Networks (NNs) have been proposed as a feasible alternative, but these approaches are still in their infancy. We tested different NN pipelines on simulated data: we studied optimal training procedures by including different strategies of noise addition and parameter space sampling, to achieve better accuracy and robustness to noise. Four MRF sequences were considered, two of them designed to be more specific for $B_1^+$ parameter encoding: IR-FISP, IR-FISP-$B_1$, bSSFP and IR-bSSFP-$B_1$. A comparison between NN and the dictionary approaches was performed using a numerical brain phantom. Results demonstrated that training with random sampling and different levels of noise variance yielded the best performance. NN performance was greater or equal than dictionary-based approach in reconstructing MR parameter maps: the difference in performance increased with the number of estimated parameters, because the dictionary method suffers from the coarse resolution of the MR parameter space sampling. The NN approach resulted more efficient in terms of memory and computational burden, and thus has great potential in large-scale MRF problems.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 MR fingerprinting (MRF) is a rapid growing approach for fast quantitave MRI. background 1.00 0.04 0.02 asserted 1.00
s1 A typical drawback of dictionary-based MRF is its explosion in size as a function of the number of reconstructed parameters, according to the curse of dimensionality. background 0.94 0.05 0.03 asserted 1.00
s2 Deep Neural Networks (NNs) have been proposed as a feasible alternative, but these approaches are still in their infancy. background 0.83 0.05 0.03 asserted 0.87
s3 We tested different NN pipelines on simulated data: we studied optimal training procedures by including different strategies of noise addition and parameter space sampling, to achieve better accuracy and robustness to noise. method 0.69 0.94 0.04 asserted 0.90
s4 Four MRF sequences were considered, two of them designed to be more specific for $B_1^+$ parameter encoding: IR-FISP, IR-FISP-$B_1$, bSSFP and IR-bSSFP-$B_1$. method 0.98 0.82 0.02 asserted 0.91
s5 A comparison between NN and the dictionary approaches was performed using a numerical brain phantom. method 0.94 0.92 0.03 asserted 0.95
s6 Results demonstrated that training with random sampling and different levels of noise variance yielded the best performance. result 1.00 0.95 0.13 asserted 1.00
s7 NN performance was greater or equal than dictionary-based approach in reconstructing MR parameter maps: the difference in performance increased with the number of estimated parameters, because the dictionary method suffers from the coarse resolution of the MR parameter space sampling. result 0.95 0.94 0.67 asserted 1.00
s8 The NN approach resulted more efficient in terms of memory and computational burden, and thus has great potential in large-scale MRF problems. interpretation 0.78 0.84 0.51 asserted 0.73

What kind of paper the classifier reports this is: simulation study 0.86 · evidence from simulation or computation 0.99.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

MR fingerprinting (MRF) is a rapid growing approach for fast quantitave MRI. A typical drawback of dictionary-based MRF is its explosion in size as a function of the number of reconstructed parameters, according to the curse of dimensionality. Deep Neural Networks (NNs) have been proposed as a feasible alternative, but these approaches are still in their infancy. We tested different NN pipelines on simulated data: we studied optimal training procedures by including different strategies of noise addition and parameter space sampling, to achieve better accuracy and robustness to noise. Four MRF sequences were considered, two of them designed to be more specific for $B_1^+$ parameter encoding: IR-FISP, IR-FISP-$B_1$, bSSFP and IR-bSSFP-$B_1$. A comparison between NN and the dictionary approaches was performed using a numerical brain phantom. Results demonstrated that training with random sampling and different levels of noise variance yielded the best performance. NN performance was greater or equal than dictionary-based approach in reconstructing MR parameter maps: the difference in performance increased with the number of estimated parameters, because the dictionary method suffers from the coarse resolution of the MR parameter space sampling. The NN approach resulted more efficient in terms of memory and computational burden, and thus has great potential in large-scale MRF problems.

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