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A system with many degrees of freedom can be characterized by a covariance matrix; principal components analysis (PCA) focuses on the eigenvalues of this matrix, hoping to find a lower dimensional description.
K Pearson, On lines and planes of closest fit to systems of points in space. Phil Mag
1901
Earlier work this paper cites.
LP Kadanoff, Scaling laws for Ising models near T c T_{c} . Physics
1966
Earlier work this paper cites.
LP Kadanoff, From simulation model to public policy: An examination of Forrester’s “Urban Dynamics.” Simulation
1971
Earlier work this paper cites.
LP Kadanoff and H Weinblatt, Public policy conclusions from urban growth models. IEEE Trans Sys Man Cybern
1972
Earlier work this paper cites.
KG Wilson and ME Fisher, Critical exponents in 3.99 dimensions. Phys Rev Lett
1972
Earlier work this paper cites.
KG Wilson and J Kogut, The renormalization group and the ϵ \epsilon expansion. Phys Repts
1974
Earlier work this paper cites.
KG Wilson, Problems in physics with many scales of length. Sci Am
1979
Earlier work this paper cites.
K Binder, Finite size scaling analysis of Ising model block distribution functions. Z Phys B
1981
Earlier work this paper cites.
D Bensimon, LP Kadanoff, S Liang, BI Shraiman, and C Tang, Viscous flows in two dimensions. Rev Mod Phys
1986
Earlier work this paper cites.
TC Halsey, MH Jensen, LP Kadanoff, I Procaccia, and BI Shraiman, Fractal measures and their singularities: The characterization of strange sets. Phys Rev A
1986
Earlier work this paper cites.
P Constantin and LP Kadanoff, Singularities in complex interfaces. Phil Trans R Soc Lond Ser A
1990
Earlier work this paper cites.
HDI Abarbanel, R Brown, JJ Sidorowich, and LS Tsimring, The analysis of observed chaotic data in physical systems. Rev Mod Phys
1993
Earlier work this paper cites.
A Bertozzi, M Brenner, TF Dupont, and LP Kadanoff, Singularities and similarities in interface flows. In Trends and Perspectives in Applied Mathatematics, Springer Verlag Applied Math Series Vol 100
1994
Earlier work this paper cites.
SN Coppersmith, RD Blank, and LP Kadanoff, Analysis of a population genetics model with mutation, selection, and pleitropy. J Stat Phys
1999
Cited alongside, same era.
ML Povinelli, SN Coppersmith, LP Kadanoff, SR Nagel, and SC Venkataramani, Noise stabilization of self–organized memories. Phys Rev E
1999
Cited alongside, same era.
F Lillo and RN Mantegna, Variety and volatility in financial markets. Phys Rev E
2000
Cited alongside, same era.
M Marsili, Dissecting financial markets: sectors and states. Quantitative Finance
2002
Cited alongside, same era.
KS Brown, CC Hill, GA Calero, CR Myers, KH Lee, JP Sethna, and RA Cerione, The statistical mechanics of complex signaling networks: Nerve growth factor aignaling. Phys Biol
2004
Cited alongside, same era.
MK Transtrum, BB Machta, and JP Sethna, Geometry of nonlinear least squares with applications to sloppy models and optimization. Phys Rev E
2011
Later among the works it cites.
LP Kadanoff, Relating theories via renormalization. Stud Hist Phil Sci B
2013
Later among the works it cites.
MC Angelini, G Parisi, and F Ricci–Tersenghi, Ensemble renormalization group for disordered systems. Phys Rev B
2013
Later among the works it cites.
BB Matcha, R Chachra, MK Transtrum, and JP Sethna, Parameter space compression underlies emergent theories and predictive models. Science
2013
Later among the works it cites.
J Shlens, A tutorial on principal components analysis, arXiv:1404.1100 [cs.LG] (2014)
2014
Later among the works it cites.
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DJ Amit and V Martin–Mayor, Field Theory, the Renormalization Group, and Critical Phenomena. Graphs to Computers
2005
Cited alongside, same era.
JJ Waterfall, FP Casey, RN Gutenkunst, KS Brown, CR Myers, PW Brouwer, V Elser, and JP Sethna, Sloppy model universality class and the Vandermonde matrix. Phys Rev Lett
2006
Cited alongside, same era.
RN Gutenkunst, JJ Waterfall, FP Casey, KS Brown, CR Myers, and JP Sethna, Universally sloppy parameter sensitivities in systems biology. PLoS Comput Biol
2007
Cited alongside, same era.
LP Kadanoff, More is the same: Mean field theory and phase transitions. J State Phys
2009
Cited alongside, same era.
JP Bouchaud and M Potters, Financial applications. In The Oxford Handbook of Random Matrix Theory,
2009
Cited alongside, same era.
T Mora and W Bialek, Are biological systems poised at criticality? J Stat Phys
2011
Cited alongside, same era.
E Aygün and A Erzan, Spectral renormalization group theory on networks. J Phys Conf Series
2011
Cited alongside, same era.
LP Kadanoff, Reflections on Gibbs: From statistical physics to the Amistad. J Stat Phys
2014
Later among the works it cites.
G Tkačik, O Marre, D Amodei, E Schneidman, W Bialek, and MJ Berry II, Searching for collective behavior in a large network of sensory neurons. PLoS Comput Biol
2014
Later among the works it cites.
2014
Later among the works it cites.
LP Kadanoff, Innovations in statistical physics. Annu Rev Cond Matt Phys
2015
Later among the works it cites.
G Tkačik, T Mora, O Marre, D Amodei, SE Palmer, MJ Berry II, and W Bialek, Thermodynamics and signatures of criticality in a network of neurons. Proc Natl Acad Sci (USA)
2015
Later among the works it cites.
2015
Later among the works it cites.
MC Angelini and G Biroli, Spin glass in a field: A new zero-temperature fixed point in finite dimensions. Phys Rev Lett
2015
Later among the works it cites.