New method uses ML to estimate causal effects from past data.
problem Estimating causal effects from retrospective data with ambiguity and bias.
method Machine learning ensemble targeting a specific causal effect (RIE).
result Validates policy options for reducing recidivism in Colombia.
This article offers an introductory look at Khovanov homology and its historical context.
problem Classifying knot embeddings and understanding their homology.
method Expository presentation of Khovanov homology and its historical development.
result Introduction and popularization of knot theory and Khovanov homology in Colombia and Latin America.
These notes are based on lectures given at the school on Geometric and Topological Methods for Quantum Field Theory, in Villa de Leyva, Colombia, in 2009. We present a basic introduction to Dirac manifolds, recalling the original context in which they were defined, their main features, and briefly mentioning more recen…
The paper extends a spectral evolution model for link prediction in evolving networks.
problem Link prediction in evolving networks.
method Approximated eigenvalue trajectories using Rayleigh quotient and extrapolation.
result Learning algorithms based on approximated trajectories outperform traditional methods.
Bayesian SAE model with spectral clustering and uncertainty quantification.
problem Small Area Estimation (SAE) with uncertainty quantification.
method Spectral clustering with external covariates, posterior projections, and CPMSE.
result Closed form expressions for posterior mean estimators and CPMSE.
This paper uses open data to analyze foreign tourists' spending patterns in Colombia and the Netherlands.
problem Difficulty in identifying which domestic industries cater to foreign visitors.
method Use of open source data and anonymized transaction data to map tourist destinations and analyze spending behavior.
result Countries may observe different tourist patterns (concentration vs decentralization).
In this paper we use the Brooks and Hinich cross-bicorrelation test in order to uncover nonlinear dependence periods between USA Standard and Poor 500 (SP500), used as benchmark, and six Latin American stock markets indexes: Mexico (BMV), Brazil (BOVESPA), Chile (IPSA), Colombia (COLCAP), Peru (IGBVL) and Argentina (ME…
This paper explains how to compute Khovanov homology of torus links using the Kauffman bracket polynomial.
problem Computing Khovanov homology of specific knot types.
method Categorification of the Kauffman bracket polynomial via a long exact sequence.
result A practical method to compute Khovanov homology of torus links.
Study analyzes stock performance before, during, and after the pandemic.
problem Impact of the pandemic on stock performance and risk.
method Daily data of most traded companies in Colombia from 2015 to 2023, using minimum variance approach.
result Portfolio returns and risks varied significantly during the pandemic.
Study analyzes homicide rates in Goias, Brazil, using clustering methods.
problem Understanding spatial distribution and risk factors of homicide in Goias.
method Cluster analysis using K-means, Density-based, and Hierarchical algorithms.
result Homicide rates higher in cities near large urban centers despite better socioeconomic indicators.
This paper evaluates investment risks in LATAM AI startups using DCF method.
problem Unique challenges and risks faced by LATAM tech startups.
method Total Addressable Market (TAM), Serviceable Available Market (SAM), and Serviceable Obtainable Market (SOM) metrics; Discounted Cash Flow (DCF) method.
result Developed a ranking of emerging powers in Latin America for tech startup investment.
Predictive policing models can be biased by differential crime reporting rates.
problem Bias in predictive policing models due to differential crime reporting.
method Simulation based on Bogotá, Colombia's victimization and crime reporting data.
result Differential crime reporting rates can lead to misallocation of police patrols.
Study applies HRP to Latin American markets, showing smoother risk-return profile.
problem Lack of empirical analyses of HRP in Latin American markets.
method Hierarchical Risk Parity (HRP) with hierarchical clustering and recursive bisection.
result HRP portfolio outperforms Max Sharpe portfolio in NUAM markets, with smoother risk-return profile.
This paper ranks Latin American countries based on AI potential.
problem Identifying emerging AI powers in Latin America.
method Ranking based on infrastructure, education, and finance.
result Argentina, Colombia, Uruguay, Costa Rica, and Ecuador are new emerging powers in AI.
Study reveals AI skin cancer classifiers underperform for darker skin phototypes, advocating for fairness auditing.
problem AI bias in dermatology, particularly for darker skin phototypes.
method Predictive Representativity (PR) framework, evaluating classifiers on HAM10000 and BOSQUE Test sets.
result Substantial performance disparities by skin phototype, highlighting AI bias.