activity
20212026
most citedAn algebra over the operad of posets and structural binomial identities

2 citations · 2 across the 13 of their papers we have counts for

collaborators

13 papers

cs.LG2026

CheMLFlow: An Open-Source Platform for Cheminformatics and Materials Informatics Applications

Brendan Smith, Susana Lopez-Moreno, Eric Dolores-Cuenca +3

CheMLFlow is an open-source platform for building and executing end-to-end, high-throughput, and agentic workflows for scientific and technological applications. CheMLFlow targets…

cs.LG2026

PCA-Enhanced Adaptive NVAR Framework for High-Resolution Sea Surface Temperature Forecasting in the East Sea

Sherkhon Azimov, Susana Lopez-Moreno, Eric Dolores-Cuenca +2

Accurate forecasting of sea surface temperature (SST) is essential for marine ecosystem monitoring, climate assessment, fisheries management, and operational ocean forecasting. Whi…

cs.LG2026

Standardization of Post-Publication Code Verification is Possible with the Support of the Community

Susana Lopez-Moreno, Eric Dolores-Cuenca, Sangil Kim

Reproducibility remains a challenge in machine learning research. While code and data availability requirements have become increasingly common, post-publication verification is st…

cs.LG2025

Adaptive Nonlinear Vector Autoregression: Robust Forecasting for Noisy Chaotic Time Series

Sherkhon Azimov, Susana Lopez-Moreno, Eric Dolores-Cuenca +3

Nonlinear vector autoregression (NVAR) and reservoir computing (RC) have shown promise in forecasting chaotic dynamical systems, such as the Lorenz-63 model and El Nino-Southern Os…

cs.CV2024

Order Theory in the Context of Machine Learning

Eric Dolores-Cuenca, Aldo Guzman-Saenz, Sangil Kim +2

The paper ``Tropical Geometry of Deep Neural Networks'' by L. Zhang et al. introduces an equivalence between integer-valued neural networks (IVNN) with and tropic…

math.CO2024

The gold partition conjecture and the Lexicographic sum of posets

Eric R. Dolores-Cuenca, Aldo Guzmán-Sáenz, Sangil Kim

We prove that if a finite poset satisfies the Gold Partition Conjecture, and is a finite poset, then for any the lexicographic sum of with on t…

cs.CV2024

Convolutional neural networks applied to modification of images

Carlos I. Aguirre-Velez, Jose Antonio Arciniega-Nevarez, Eric Dolores-Cuenca

The reader will learn how digital images are edited using linear algebra and calculus. Starting from the concept of filter towards machine learning techniques such as convolutional…

math.CO2024

Operad of posets 101: The Wixárika posets

José Antonio Arciniega-Nevárez, Marko Berghoff, Eric Rubiel Dolores-Cuenca

We study classes of objects whose combinatorics are closely related to those of posets. The framework of operads and operad algebras allows us to make this relationship precise and…

math.CO2023

Shuffle series

Khushdil Ahmad, Eric Rubiel Dolores-Cuenca, Khurram Shabbir

We apply operad theory to enumerative combinatorics in order to count the number of shuffles between series-parallel posets and chains. We work with three types of shuffles, two of…

math.CO2022

A poset version of Ramanujan results on Eulerian numbers and zeta values

Eric Dolores-Cuenca, Jose L. Mendoza-Cortes

We explore the operad of finite posets and its algebras. We use order polytopes to investigate the combinatorial properties of zeta values. By generalizing a family of zeta value i…

math.QA2022

Virtual posets, shuffle algebras and associators

José A. Arciniega-Nevárez, Marko Berghoff, Eric Dolores-Cuenca

We provide a method to construct new associators out of Drinfel'd's KZ associator. We obtain two analytic families of associators whose coefficients we can describe explicitly by a…

math.CO2021★ 2 cited

An algebra over the operad of posets and structural binomial identities

Jose Antonio Arciniega-Nevarez, Marko Berghoff, Eric Dolores-Cuenca

We study generating functions of strict and non-strict order polynomials of series-parallel posets, called order series. These order series are closely related to Ehrhart series an…

math.CO2021

Polychrony as Chinampas

Eric Dolores-Cuenca, Jose Antonio Arciniega-Nevarez, Anh Nguyen +5

In this paper, we study the flow of signals through linear paths with the nonlinear condition that a node emits a signal when it receives external stimuli or when two incoming sign…