Results 41 to 50 of about 57,386 (264)

SYMPLECTIC STRUCTURES ON STATISTICAL MANIFOLDS [PDF]

Journal of the Australian Mathematical Society, 2011
AbstractA relationship between symplectic geometry and information geometry is studied. The square of a dually flat space admits a natural symplectic structure that is the pullback of the canonical symplectic structure on the cotangent bundle of the dually flat space via the canonical divergence. With respect to the symplectic structure, there exists a
openaire   +1 more source

The Combined Effect of Obesity and Contraceptive Use on Pulmonary Embolism in Adolescent Females Residing in the United States

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Combined oral contraceptive (COC) use in obese adult women dramatically increases the relative risk of developing a pulmonary embolism (PE). The risk of a PE in obese adolescent females taking contraceptives is currently unknown. The purpose of this investigation was to determine the effect of body mass index (BMI) and contraceptive
John Puetz, Joanne Salas
wiley   +1 more source

Investigating Statistical Submersions and Their Properties

Mathematics
This research aims to prove a sharp relationship between statistical submersions and doubly minimal immersions. We consider a non-trivial statistical submersion on a statistical manifold with isometric fibers.
Aliya Naaz Siddiqui, Fatimah Alghamdi
doaj   +1 more source

Tensor Balancing on Statistical Manifold

CoRR, 2017
We solve tensor balancing, rescaling an Nth order nonnegative tensor by multiplying N tensors of order N - 1 so that every fiber sums to one. This generalizes a fundamental process of matrix balancing used to compare matrices in a wide range of applications from biology to economics.
Mahito Sugiyama, Hiroyuki Nakahara, Koji Tsuda   +2 more
openaire   +3 more sources

Robustness of statistical manifolds

Topology and its Applications, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Loi, A., Matta, S.
openaire   +2 more sources

The Relationship Between Physical Activity and Left Ventricular Remodeling in Childhood Cancer Survivors Treated With Anthracyclines: A Cross‐Sectional Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction Anthracycline‐related cardiac remodeling precedes heart failure in childhood cancer survivors. The objectives of this study were to determine the relationships between patient‐specific factors, moderate‐to‐vigorous physical activity (MVPA), and cardiac remodeling.
Hari K. Narayan, Sitong Chen, F. Lennie Wong, Nathan Young, Anna Qi, Christopher Davis, Sanjeet Hegde, Nicholas Gloude, Kasey J. Leger, Kelly D. Getz, Francisco Contijoch, Kirsten Ness, Bonnie Ky, Dennis Kuo, Sheri J. Hartman, Saro H. Armenian   +15 more
wiley   +1 more source

Deformed Algebras and Generalizations of Independence on Deformed Exponential Families

Entropy, 2015
A deformed exponential family is a generalization of exponential families. Since the useful classes of power law tailed distributions are described by the deformed exponential families, they are important objects in the theory of complex systems.
Hiroshi Matsuzoe, Tatsuaki Wada
doaj   +1 more source

Misperception of Body Weight After Childhood Cancer

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Misperception of body weight can negatively impact the weight management efforts of childhood cancer survivors (CCSs). Both being overweight or underweight are associated with chronic health conditions commonly observed in CCS; therefore, accurate weight perception is critical for reducing long‐term health risks.
Fabiën N. Belle, Tomáš Sláma, Eva Haegler‐Laube, Reto D. Kurmann, Gabriela M. Kuster, Christoph Saner, Eva Scheler, Yara Shoman, Christina Schindera   +8 more
wiley   +1 more source

Design and analysis strategies for robust microbiome ageing research

FEBS Letters, EarlyView.
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik, İsmail Güderer, Yi Wang, Tayyaba Alvi, Prasoon Pandey, Handan Melike Dönertaş   +5 more
wiley   +1 more source

Information Geometry and Manifold Learning: A Novel Framework for Analyzing Alzheimer’s Disease MRI Data

Diagnostics
Background: Alzheimer’s disease is a progressive neurological condition marked by a decline in cognitive abilities. Early diagnosis is crucial but challenging due to overlapping symptoms among impairment stages, necessitating non-invasive, reliable ...
Ömer Akgüller, Mehmet Ali Balcı, Gabriela Cioca   +2 more
doaj   +1 more source