The Impact of BOLD-Induced Linewidth Modulation on Functional <sup>1</sup>H MRS Analysis. [PDF]
NMR BiomedFunctional MRS studies face a technical challenge: BOLD‐related lineshape changes can be mistaken for genuine metabolic changes, causing ~1% glutamate estimation bias at 3 and 7 T across conventional (LCModel, ABfit‐reg) and 2D fitting methods. Using synthetic data, this study shows that explicit BOLD linewidth correction—via dynamic lineshape ...
Wilson M, Finney SM, Clarke WT.
europepmc +2 more sources
Cartesian MaxGIRF: Model-based EPI reconstruction incorporating gradient nonlinearity and concomitant field effects. [PDF]
Magn Reson MedAbstract Purpose Lower field strength scanners with large bore size or complex geometries, and scanners with stronger gradient systems experience increased gradient nonlinearity and concomitant fields, each of which causes distortions in EPI. Current correction approaches based on image‐domain interpolation introduce undesirable spatial blurring.
Lee NG, Cui SX, Nayak KS.
europepmc +2 more sources
Imaging-Based Molecular Characterization of Adult-Type Diffuse Glioma Using Diffusion and Perfusion MRI in Pre- and Post-Treatment Stage Considering Spatial and Temporal Heterogeneity. [PDF]
J Magn Reson ImagingABSTRACT Background Imaging‐based molecular characterization is important for identifying treatment targets in adult‐type diffuse gliomas. Purpose To assess isocitrate dehydrogenase (IDH) mutation and epidermal growth factor receptor (EGFR) amplification status in primary and recurrent gliomas using diffusion and perfusion MRI, addressing spatial and ...
Roh YH +9 more
europepmc +2 more sources
FIELD FORMATION OF CIRCULANT MATRIX [PDF]
, 2020 The axioms of fields satisfy over sets of numbers such as , , and . Generally, a set matrix is not commutative for binary multiplication properties, such that cannot satisfy of field axioms.
Fahlevi, M. R. (Mahfudz) +2 more
core +1 more source
The Invertibility, Explicit Determinants, and Inverses of Circulant and Left Circulant and g-Circulant Matrices Involving Any Continuous Fibonacci and Lucas Numbers [PDF]
, 2014 Circulant matrices play an important role in solving delay differential equations. In this paper, circulant type matrices including the circulant and left circulant and g-circulant matrices with any continuous Fibonacci and Lucas numbers are considered ...
Zhaolin Jiang, Dan Li
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DIAGONALISASI MATRIX FOURIER SEBAGAI CIRI KHAS MATRIX CIRCULANT [PDF]
, 1993 Matrix permutasi cyclic tertentu dapat digunakan untuk mendefinisikan matrix circulant. Matrix circulant merupakan matrix normal, sehingga dapat didiagonalisasi matrix unity tertentu, yaitu matrix Fourier. Diagonalisasi matrix Fourier merupakan ciri khas
KARYADI, KARYADI
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On Jacobsthal and Jacobsthal-Lucas Circulant Type Matrices [PDF]
, 2015 Circulant type matrices have become an important tool in solving fractional order differential equations. In this paper, we consider the circulant and left circulant and g-circulant matrices with the Jacobsthal and Jacobsthal-Lucas numbers.
Zhaolin Jiang, Yanpeng Gong, Yun Gao
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Feature‐Level Analysis and Adversarial Transfer in Rotationally Equivariant Quantum Machine Learning
Advanced Quantum Technologies, Volume 9, Issue 11, November 2026.A detailed feature‐level analysis reveals how symmetry‐dependent features relate to adversarial transfer robustness in equivariant quantum machine learning models, paving the way for the design of future models with improved robustness. ABSTRACT Group‐equivariant quantum models are designed to exploit symmetry and can improve trainability, but it ...
Maureen Krumtünger
wiley +1 more source
The pseudoinverse of an 𝑟-circulant matrix
, 1972 It is shown that the Moore-Penrose pseudoinverse C + {C^ + } of an r-circulant matrix C is always the conjugate transpose of an r-circulant matrix. In addition, necessary and sufficient conditions are
T. L. Boullion, W. T. Stallings
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Circulant Matrix‐Based Box–Behnken Designs With Economic Run Sizes
Quality and Reliability Engineering International, Volume 42, Issue 6, Page 3326-3334, October 2026.ABSTRACT We introduce Circulant Matrix‐Based Box–Behnken Designs (CBBDs), a new class of three‐level, second‐order response surface designs constructed using circulant matrix structures. These designs satisfy an enhanced orthogonal minimally aliased (OMA∗${\rm OMA}^*$) property: they retain the classical OMA property—where main effects are orthogonal ...
Tung‐Dinh Pham, Nam‐Ky Nguyen
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