linear_algebra   604

« earlier    

Structure and dynamical behavior of non-normal networks | Science Advances
We analyze a collection of empirical networks in a wide spectrum of disciplines and show that strong non-normality is ubiquitous in network science. Dynamical processes evolving on non-normal networks exhibit a peculiar behavior, as initial small disturbances may undergo a transient phase and be strongly amplified in linearly stable systems. In addition, eigenvalues may become extremely sensible to noise and have a diminished physical meaning. We identify structural properties of networks that are associated with non-normality and propose simple models to generate networks with a tunable level of non-normality. We also show the potential use of a variety of metrics capturing different aspects of non-normality and propose their potential use in the context of the stability of complex ecosystems.

Also here
networks  linear_algebra  dynamical_system  network_data_analysis  teaching  ? 
10 weeks ago by rvenkat
Essence of linear algebra - YouTube
Видеокурс по линейной алгебре
video  courses  math  linear_algebra 
december 2018 by gevorg

« earlier    

related tags

?  2018  ai  algebra  algorithms  articles  book  bookmarks_bar  books  calculus  change_of_basis  classes  course  courses  cs  deep-learning  deep_learning  deeplearning  dynamical_system  ebook  education  eigenvectors  explainer  free  gilbert.strang  glove  google  graphics  haskell  inspiration  interactive  jure  learning  lectures  library  linear-algebra  linearalgebra  machine_learning  machinelearning  math  mathcurriculum  mathematics  maths  matrices  matrix  mltheory  mooc  network_data_analysis  networks  nlp  numerical-computation  numerical_computing  numerical_methods  optimization  pagerank  papers  pdf  principal_component_analysis  programming  python  quaternions  quora  refer  reference  resources  rust  rustlang  search_engines  simd  small_blogs  soa  teaching  text_book  textbook  toread  tr-2019-01  tutorial  tutorials  ux  vector-space  vector  vector_spaces  vectors  video  videos  visualizations  word-embedding  word2vec  ycombinator  youtube 

Copy this bookmark: