Pawel Dlotko, Simon Rudkin, Wanling Qiu
arXiv 24 Nov 2019 · Econometrics
arXiv:1911.10476 · PDF · DOI · OpenAlex · Extracted main text
An understanding of the economic landscape in a world of ever increasing data necessitates representations of data that can inform policy, deepen understanding and guide future research. Topological Data Analysis offers a set of tools which deliver on all three calls. Abstract two-dimensional snapshots of multi-dimensional space readily capture non-monotonic relationships, inform of similarity between points of interest in parameter space, mapping such to outcomes. Specific examples show how some, but not all, countries have returned to Great Depression levels, and reappraise the links between real private capital growth and the performance of the economy. Theoretical and empirical expositions alike remind on the dangers of assuming monotonic relationships and discounting combinations of factors as determinants of outcomes; both dangers Topological Data Analysis addresses. Policy-makers can look at outcomes and target areas of the input space where such are not satisfactory, academics may additionally find evidence to motivate theoretical development, and practitioners can gain a rapid and robust base for decision making.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Jordà, Ò., Schularick, M., Taylor, A. M., and Ward, F (2019) Global financial cycles and risk premiums | 1.000 | 21 | 3 | 100% |
| 2 | Dotko, P (2019) BallMapper: Create a Ball Mapper graph of the input data | 1.000 | 20 | 5 | 100% |
| 3 | Dotko, P (2019) Ball mapper: a shape summary for topological data analysis | 1.000 | 12 | 4 | 100% |
| 4 | Steinkamp, S. and Westermann, F (2018) Systemic crisis and growth revisited: Has the global financial crisis marked a new era? | 0.644 | 4 | 1 | 100% |
| 5 | Carlsson, G (2009) Topology and data | 0.644 | 2 | 2 | 100% |
| 6 | Dotko, P., Qiu, W., and Rudkin, S (2019) Cyclicality, periodicity and the topology of time series self | 0.644 | 2 | 2 | 100% |
| 7 | Perea, J (2019) Topological time series analysis | 0.644 | 2 | 2 | 100% |
| 8 | Fratianni, M. and Giri, F (2017) The tale of two great crises | 0.585 | 3 | 1 | 100% |
| 9 | Bianchi, F (2019) The great depression and the great recession: A view from financial markets | 0.511 | 2 | 1 | 100% |
| 10 | Jordà, Ò., Knoll, K., Kuvshinov, D., Schularick, M., and Taylor, A. M (2017) The rate of return on everything, 1870–2015 | 0.511 | 2 | 1 | 100% |
Showing the top 10 of 47 scored citations.