Abstract:Trade cycles are complex phenomena which oscillate because of economic downturns and expansions. Recurrence quantification analysis (RQA) detects state changes without necessitating any a priori mathematical assumption and highlights hidden features of the dynamics both at equilibrium and near transition phases. This paper aims to understand some potential application of recurrence quantification analysis in detecting recessions.
“…Thus, this research could provide the link between economic theory and identification of real dynamics based on machine learning classifiers and RQA/RP feature extraction where the latter has been successfully used to discover hidden dynamics and structural changes in economics [9,10].…”
Section: Discussionmentioning
confidence: 99%
“…where is a threshold distance [2,1]. This concept has been widely applied in various fields such as astrophysics [3,4,5], damage detection in engineering [6], molecular dynamics [7,8], economics [9,10,11], and medicine [12,13].…”
In this study, we present a method for classifying dynamical systems using a hybrid approach involving recurrence plots and a convolution neural network (CNN). This is performed by obtaining the recurrence matrix of a time series generated from a given dynamical system and then using a CNN to classify the related dynamics observed from the recurrence matrix. We consider three broad classes of dynamics: chaotic, periodic, and stochastic. Using a relatively simple CNN structure, we are able to obtain ∼ 90% accuracy in classification. The confusion matrix and receiver operating characteristic curve of classification demonstrate the strength and viability of this hybrid approach.
“…Thus, this research could provide the link between economic theory and identification of real dynamics based on machine learning classifiers and RQA/RP feature extraction where the latter has been successfully used to discover hidden dynamics and structural changes in economics [9,10].…”
Section: Discussionmentioning
confidence: 99%
“…where is a threshold distance [2,1]. This concept has been widely applied in various fields such as astrophysics [3,4,5], damage detection in engineering [6], molecular dynamics [7,8], economics [9,10,11], and medicine [12,13].…”
In this study, we present a method for classifying dynamical systems using a hybrid approach involving recurrence plots and a convolution neural network (CNN). This is performed by obtaining the recurrence matrix of a time series generated from a given dynamical system and then using a CNN to classify the related dynamics observed from the recurrence matrix. We consider three broad classes of dynamics: chaotic, periodic, and stochastic. Using a relatively simple CNN structure, we are able to obtain ∼ 90% accuracy in classification. The confusion matrix and receiver operating characteristic curve of classification demonstrate the strength and viability of this hybrid approach.
“…Moreover, they suggest a deterministic model which "performs at least as well as one of the best stochastic models" while offering "additional insight into the essential mechanisms that drive financial markets". Thus, theoretically, extreme events can be modelled using determin-istic models [18], and empirically, determinism can be observed in real data [19,20].…”
Section: On Chaotic Dynamics In Economy and Financial Marketsmentioning
The goal is to investigate the dynamics of banks’ share prices and related financials that lead to potential disruptions to credit and the economy. We adopt a classic macroeconomic equilibrium model with households, banks, and non-financial companies and explain both market valuations and endogenous debt constraints in terms of risk. Heterogeneous market dynamics ranging from equilibrium to cycles and chaos are illustrated. Deposits and equity are proven to be management levers for chaos control/anticontrol, and the only feasible equilibrium is unstable. Finally, using real-world data, a test is conducted on the suggested model proving that our framework conforms well to reality.
“…Source (Orlando and Zimatore 2020a) dynamics share characteristics that make the proposed model a suitable tool to simulate economic reality Orlando and Zimatore (2020b). In particular, in the case of RQA, it has been demonstrated that it can be used for the early detection of recessions and that it can distinguish between stock and flow macroeconomic variables as well as between real and nominal data Orlando and Zimatore (2017;2018b;a). The above methodology is useful for discovering the underlying dynamics of economic time series, especially where other methods may fail due to the randomness, nonlinearity and non-stationarity of the data.…”
Section: Chaotic Businesses Cycles Within a Kaldor-kalecki Frameworkmentioning
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.