Quantum-inspired minimum distance classification in a biomedical context

We face the problem of pattern classification by proposing a quantum-inspired version of the widely used minimum distance classifier (i.e. the Nearest Mean Classifier (NMC)) already introduced in [31,33,28,27] and by applying this quantum-inspired classifier in a biomedical context. In particular, we show and compare the NMC and our quantum model performance to solve a problem related to classify the probability of survival for patients affected by idiopathic pulmonary fibrosis (IPF).

[1]  C. Vancheri,et al.  When to start and when to stop antifibrotic therapies , 2017, European Respiratory Review.

[2]  Roberto Giuntini,et al.  A Quantum Computational Semantics for Epistemic Logical Operators. Part II: Semantics , 2014 .

[3]  Joyce S Lee,et al.  A Multidimensional Index and Staging System for Idiopathic Pulmonary Fibrosis , 2012, Annals of Internal Medicine.

[4]  Edward W. Piotrowski,et al.  An Invitation to Quantum Game Theory , 2002, ArXiv.

[5]  S. Lloyd,et al.  Quantum algorithms for supervised and unsupervised machine learning , 2013, 1307.0411.

[6]  Peter Wittek,et al.  Quantum Machine Learning: What Quantum Computing Means to Data Mining , 2014 .

[7]  Roberto Giuntini,et al.  Quantum information, cognition, and music , 2015, Front. Psychol..

[8]  Sébastien Gambs,et al.  Quantum classification , 2008, ArXiv.

[9]  Gilles Brassard,et al.  Machine Learning in a Quantum World , 2006, Canadian AI.

[10]  C. Helstrom.  Quantum detection and estimation theory , 1969 .

[11]  C. Vancheri,et al.  New perspectives on management of idiopathic pulmonary fibrosis , 2016, Therapeutic advances in chronic disease.

[12]  M. L. R. D. Christenson,et al.  An Official ATS/ERS/JRS/ALAT Statement: Idiopathic Pulmonary Fibrosis: Evidence-based Guidelines for Diagnosis and Management , 2012 .

[13]  F. Martinez,et al.  Possible UIP pattern on high-resolution computed tomography is associated with better survival than definite UIP in IPF patients. , 2017, Respiratory medicine.

[14]  Isaac L. Chuang,et al.  Quantum Computation and Quantum Information (10th Anniversary edition) , 2011 .

[15]  Roberto Giuntini,et al.  Holistic logical arguments in quantum computation , 2016, 1602.07516.

[16]  A. F. Adams,et al.  The Survey , 2021, Dyslexia in Higher Education.

[17]  Yonina C. Eldar.  Quantum signal processing , 2002, IEEE Signal Process. Mag..

[18]  Enrica Santucci,et al.  Quantum Minimum Distance Classifier , 2017, Entropy.

[19]  Jaroslaw Adam Miszczak,et al.  A quantum-inspired version of the nearest mean classifier , 2017, Soft Comput..

[20]  Hector Freytes,et al.  Pattern Recognition in Non-Kolmogorovian Structures , 2016, 1609.06340.

[21]  Diederik Aerts,et al.  Quantum Structure in Cognition: Why and How Concepts Are Entangled , 2011, QI.

[22]  C. Vancheri,et al.  What We Know About the Pathogenesis of Idiopathic Pulmonary Fibrosis , 2016, Seminars in Respiratory and Critical Care Medicine.

[23]  J. Hankinson,et al.  Standardisation of the single-breath determination of carbon monoxide uptake in the lung , 2005, European Respiratory Journal.

[24]  Maria Schuld,et al.  The quest for a Quantum Neural Network , 2014, Quantum Information Processing.

[25]  G. Raghu,et al.  Ascertainment of individual risk of mortality for patients with idiopathic pulmonary fibrosis. , 2010, American journal of respiratory and critical care medicine.

[26]  Takeshi Johkoh,et al.  American Thoracic Society Documents An Official ATS / ERS / JRS / ALAT Statement : Idiopathic Pulmonary Fibrosis : Evidence-based Guidelines for Diagnosis and Management , 2011 .

[27]  Madhav J. Nigam,et al.  Applications of quantum inspired computational intelligence: a survey , 2014, Artificial Intelligence Review.

[28]  R. Giuntini,et al.  A Quantum-inspired Version of the Classification Problem , 2017 .

[29]  S. Lloyd,et al.  Quantum principal component analysis , 2013, Nature Physics.

[30]  S. Sahn,et al.  Forced vital capacity in patients with idiopathic pulmonary fibrosis: test properties and minimal clinically important difference. , 2011, American journal of respiratory and critical care medicine.

[31]  J. Hankinson,et al.  Standardisation of spirometry , 2005, European Respiratory Journal.

[32]  E. H. Hutten.  SEMANTICS , 1953, The British Journal for the Philosophy of Science.

[33]  G. Sergioli,et al.  Classification Problem in a Quantum Framework , 2017, 1704.06475.

[34]  F. Martinez,et al.  Sex differences in physiological progression of idiopathic pulmonary fibrosis , 2008, European Respiratory Journal.

[35]  J. Eisert,et al.  Quantum Games and Quantum Strategies , 1998, quant-ph/9806088.

[36]  F. Petruccione,et al.  An introduction to quantum machine learning , 2014, Contemporary Physics.