Blessing of dimensionality: mathematical foundations of the statistical physics of data

AN Gorban, IY Tyukin - Philosophical Transactions of the …, 2018 - royalsocietypublishing.org
The concentrations of measure phenomena were discovered as the mathematical
background to statistical mechanics at the end of the nineteenth/beginning of the twentieth …

Graph theoretical analysis of organization of functional brain networks in ADHD

M Ahmadlou, H Adeli, A Adeli - Clinical EEG and …, 2012 - journals.sagepub.com
This article presents a new methodology for investigation of the organization of the overall
and hemispheric brain network of patients with attention-deficit hyperactivity disorder …

Single-cell trajectories reconstruction, exploration and map** of omics data with STREAM

H Chen, L Albergante, JY Hsu, CA Lareau… - Nature …, 2019 - nature.com
Single-cell transcriptomic assays have enabled the de novo reconstruction of lineage
differentiation trajectories, along with the characterization of cellular heterogeneity and state …

Scikit-dimension: a python package for intrinsic dimension estimation

J Bac, EM Mirkes, AN Gorban, I Tyukin, A Zinovyev - Entropy, 2021 - mdpi.com
Dealing with uncertainty in applications of machine learning to real-life data critically
depends on the knowledge of intrinsic dimensionality (ID). A number of methods have been …

Extracting knowledge from data through catalysis informatics

AJ Medford, MR Kunz, SM Ewing, T Borders… - Acs …, 2018 - ACS Publications
Catalysis informatics is a distinct subfield that lies at the intersection of cheminformatics and
materials informatics but with distinctive challenges arising from the dynamic, surface …

Visual exploration of semantic relationships in neural word embeddings

S Liu, PT Bremer, JJ Thiagarajan… - IEEE transactions on …, 2017 - ieeexplore.ieee.org
Constructing distributed representations for words through neural language models and
using the resulting vector spaces for analysis has become a crucial component of natural …

Mathematical modelling of molecular pathways enabling tumour cell invasion and migration

DPA Cohen, L Martignetti, S Robine… - PLoS computational …, 2015 - journals.plos.org
Understanding the etiology of metastasis is very important in clinical perspective, since it is
estimated that metastasis accounts for 90% of cancer patient mortality. Metastasis results …

The five factor model of personality and evaluation of drug consumption risk

E Fehrman, AK Muhammad, EM Mirkes, V Egan… - Data science: innovative …, 2017 - Springer
The problem of evaluating an individual's risk of drug consumption and misuse is highly
important and novel. An online survey methodology was employed to collect data including …

[BOK][B] Computational systems biology of cancer

E Barillot, L Calzone, P Hupe, JP Vert, A Zinovyev - 2013 - api.taylorfrancis.com
Cancer is a complex and heterogeneous disease that exhibits high levels of robustness
against various therapeutic interventions. It is a constellation of diverse and evolving …

[HTML][HTML] Fractional norms and quasinorms do not help to overcome the curse of dimensionality

EM Mirkes, J Allohibi, A Gorban - Entropy, 2020 - mdpi.com
The curse of dimensionality causes the well-known and widely discussed problems for
machine learning methods. There is a hypothesis that using the Manhattan distance and …