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Scientific reports, ISSN 2045-2322, 01/2020, Volume 10, Issue 1, pp. 664 - 11
Delay embedding-a method for reconstructing dynamical systems by delay coordinates-is widely used to forecast nonlinear time series as a model-free approach.... 
Nervous system | Embedding | Time series
Journal Article
Solar Energy, ISSN 0038-092X, 06/2017, Volume 149, p. 294
Short-term prediction for renewable energy outputs up to 6 h is important especially for preparing backup power plants such as thermal power plants and hydro... 
Short term | Electric potential | Time series | Thermal power plants | Irradiance | Thermoelectricity | Hydroelectric plants | Solar generators | Hydroelectric power plants | Thermal power | Renewable energy | Predictions | Sunrise | Electric utilities
Journal Article
Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 03/2018, Volume 28, Issue 3, p. 033112
I propose a method for reconstructing multi-dimensional dynamical noise inspired by the embedding theorem of Muldoon et al. [Dyn. Stab. Syst. 13, 175 (1998)]... 
PHYSICS, MATHEMATICAL | MATHEMATICS, APPLIED | DRIVING-FORCES
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 10/2016, Volume 460, pp. 38 - 43
I propose a mathematical model for temporal changes of proportions for industrial sectors. I prove that the model keeps the proportions for the primary, the... 
Industrial populations | The logistic equation | Bifurcation analysis | Prediction | PHYSICS, MULTIDISCIPLINARY | Mathematical models | Populations | Statistical mechanics | Preserves
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 05/2014, Volume 89, Issue 5, p. 052916
I propose an index for evaluating the credibility of confidence intervals for future observables predicted from high-dimensional time-series data. The index... 
PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS
Journal Article
Chaos, ISSN 1054-1500, 12/2015, Volume 25, Issue 12, p. 123117
We implement the edit distance for marked point processes [Suzuki et al., Int. J. Bifurcation Chaos 20, 3699-3708 (2010)] as a binary integer program. Compared... 
DISTANCE | PROGRAMMING | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | COMPUTER CODES | BIFURCATION | CHAOS THEORY | SPIN GLASS STATE
Journal Article
Chaos, ISSN 1054-1500, 07/2018, Volume 28, Issue 7
The identification of directional couplings (or drive-response relationships) in the analysis of interacting nonlinear systems is an important piece of... 
Couplings | Robustness (mathematics) | Existence theorems | Synchronism | Time series | Nonlinear analysis | Entropy | Joining | Econometrics | Nonlinear systems | Oscillators
Journal Article
Chaos, ISSN 1054-1500, 12/2015, Volume 25, Issue 12
We implement the edit distance for marked point processes [Suzuki et al., Int. J. Bifurcation Chaos 20, 3699–3708 (2010)] as a binary integer program. Compared... 
Integer programming | Spin glasses | Windows (intervals) | Minimum cost | Ising model | Bifurcations
Journal Article
Scientific Reports, ISSN 2045-2322, 2013, Volume 3, Issue 1, p. 2218
Forecasting the aftershock probability has been performed by the authorities to mitigate hazards in the disaster area after a main shock. However, despite the... 
HETEROGENEITY | CALIFORNIA | LAW | MODELS | OMORI FORMULA | MULTIDISCIPLINARY SCIENCES | EARTHQUAKE CATALOGS | Earthquakes | Aftershocks
Journal Article
Cell, ISSN 0092-8674, 09/2015, Volume 163, Issue 1, pp. 148 - 159
Journal Article
Journal of Theoretical Biology, ISSN 0022-5193, 10/2019, Volume 478, pp. 48 - 57
Journal Article
Solar Energy, ISSN 0038-092X, 06/2017, Volume 149, pp. 294 - 301
•We used infinite-dimensional delay coordinates to predict solar irradiance.•Time series prediction up to 6h ahead was improved.•Especially, prediction for 7am... 
Local measurements | Short-term prediction | Time series prediction | Infinite-dimensional delay coordinates (InDDeCs) | ENERGY & FUELS | RADIATION | REAL-TIME
Journal Article
Chaos, ISSN 1054-1500, 08/2017, Volume 27, Issue 8
In a previous paper, the authors studied the limits of probabilistic prediction in nonlinear time series analysis in a perfect model scenario, i.e., in the... 
Partitions | Computer simulation | Time series analysis | Entropy (Information theory) | Time series | Nonlinear analysis | Mathematical models | Entropy | Forecasting
Journal Article
Scientific Reports, ISSN 2045-2322, 10/2016, Volume 6, Issue 1, p. 34982
Single-cell analysis of the three-dimensional (3D) chromosome structure can reveal cell-to-cell variability in genome activities. Here, we propose to apply... 
DISTANCE | HUMAN GENOME | HI-C | MULTIDISCIPLINARY SCIENCES | SYSTEMS | CONFORMATION | PRINCIPLES | Models, Theoretical | Chromosomes - ultrastructure | Animals | Cells, Cultured | Imaging, Three-Dimensional - methods | Spatio-Temporal Analysis | Mice | Single-Cell Analysis | Th1 Cells - chemistry | Chromosome Structures | Chromosomes | Genomes | Conformation
Journal Article
Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 10/2019, Volume 29, Issue 10, p. 101107
In this paper, we propose to use linear programming methods or a more specialized method, namely, the Hungarian method, for speeding up the exact calculation... 
PHYSICS, MATHEMATICAL | MATHEMATICS, APPLIED
Journal Article
Geophysical Research Letters, ISSN 0094-8276, 02/2014, Volume 41, Issue 3, pp. 850 - 857
Journal Article
Scientific Reports, ISSN 2045-2322, 12/2018, Volume 8, Issue 1, pp. 2673 - 8
Using a dataset of 150 patients treated with intermittent androgen suppression (IAS) through a fixed treatment schedule, we retrospectively designed a... 
HORMONE-THERAPY | BONE-MINERAL DENSITY | DEPRIVATION | TESTOSTERONE | MULTIDISCIPLINARY SCIENCES | PROSPECTIVE PHASE-II | MEN | DYNAMICS | INTERMITTENT | RECURRENCE | PROGRESSION | Androgens | Mathematical models | Prostate | Prostate cancer
Journal Article
Journal Article
Physics Letters A, ISSN 0375-9601, 07/2016, Volume 380, Issue 31-32, pp. 2359 - 2365
The delay coordinate method is known to be a practically useful technique for reconstructing the states of an observed system. While this method is... 
Solar irradiance | Time series prediction | Multivariate prediction | Delay coordinates | PHYSICS, MULTIDISCIPLINARY
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 05/2011, Volume 83, Issue 5
Journal Article
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