10 papers
Frobenius methods in combinatorics
Alessandro De Stefani, Jonathan Montaño, Luis Núñez-Betancourt
We survey results produced from the interaction between methods in prime characteristic and combinatorial commutative algebra. We showcase results for edge ideals, toric varieties,…
Convex bodies and graded families of monomial ideals
Yairon Cid-Ruiz, Jonathan Montaño
We show that the mixed volumes of arbitrary convex bodies are equal to mixed multiplicities of graded families of monomial ideals, and to normalized limits of mixed multiplicities…
Improving Locality Sensitive Hashing by Efficiently Finding Projected Nearest Neighbors
Omid Jafari, Parth Nagarkar, Jonathan Montaño
Similarity search in high-dimensional spaces is an important task for many multimedia applications. Due to the notorious curse of dimensionality, approximate nearest neighbor techn…
When are multidegrees positive?
Federico Castillo, Yairon Cid-Ruiz, Binglin Li +2
Let be an arbitrary field, be a multiprojective space over , and be a closed subscheme of . We provide…
Analytic spread and integral closure of integrally decomposable modules
Carles Bivià-Ausina, Jonathan Montaño
We relate the analytic spread of a module expressed as the direct sum of two submodules with the analytic spread of its components. We also study a class of submodules whose integr…
Efficient Bitmap-based Indexing and Retrieval of Similarity Search Image Queries
Omid Jafari, Parth Nagarkar, Jonathan Montaño
Finding similar images is a necessary operation in many multimedia applications. Images are often represented and stored as a set of high-dimensional features, which are extracted…