Posters & Presentations

Posters and presentation materials from academic projects.

Preview of Latent Risk Estimation in the U.S. Market Course project
Course Project Latent risk index

Latent U.S. Market Risk

Poster project proposing a latent financial-risk index from representative global signals such as implied volatility, oil, gold, and the dollar index. The workflow combines dynamic factor modeling with penalized least-squares smoothing and Guerrero-style smoothness selection through validation.

dynamic factor modelslatent riskpenalized trendsmacrofinance
Title slide of Características Asintóticas de las Gráficas de Proximidad Academic presentation
Academic Presentation 59° Congreso Nacional de la Sociedad Matemática Mexicana

Asymptotic Characteristics of Proximity Graphs

Academic presentation connecting local geometric acceptance rules in proximity graphs with global probabilistic laws, using nearest-neighbor, Gabriel, relative-neighborhood, and Delaunay graphs as motivating examples.

proximity graphsstochastic geometryasymptoticsgeometric probability
First-page preview of the Proximity Graphs academic poster Academic poster
Poster Research poster

Proximity Graphs

A poster presenting a Python API for constructing, visualizing, and comparing proximity-graph families and biologically inspired models. It connects an empty-region area \(A(\ell)=w\ell^2\) with Poisson edge-survival probabilities and asymptotic graph properties.

proximity graphsPythonstochastic geometryacademic poster
First-page preview of Proximity Graphs: Construction and Asymptotic Characteristics Academic poster
Poster Research poster

Proximity Graphs: Construction and Asymptotic Characteristics

A poster on proximity-graph construction and asymptotic characteristics, including explicit area formulas for the β-lune and stepping-stone diversion kernels. For a Poisson process, it presents the empty-neighbourhood relation \(\Pr(\mathrm{empty})=e^{-\rho w\ell^2}\) and its connection to asymptotic expected degree.

proximity graphsasymptoticsgeometric probabilityacademic poster