Publications (31)
Systems of equations with a single solution
Alexander Esterov, Gleb Gusev
We classify general systems of polynomial equations with a single solution, or, equivalently, collections of lattice polytopes of minimal positive mixed volume. As a byproduct, thi…
SepicNet: Sharp Edges Recovery by Parametric Inference of Curves in 3D Shapes
Kseniya Cherenkova, Elona Dupont, Anis Kacem +3
3D scanning as a technique to digitize objects in reality and create their 3D models, is used in many fields and areas. Though the quality of 3D scans depends on the technical char…
Managing Procedural Memory in LLM Agents: Control, Adaptation, and Evaluation
Julia Belikova, Rauf Parchiev, Evgeny Egorov +4
Procedural memory is increasingly used to improve LLM agents on recurring workplace tasks, yet its ability to produce reusable skills remains poorly understood. We introduce AFTER,…
Multivariate Abel-Ruffini
Alexander Esterov, Gleb Gusev
We classify general square systems of polynomial equations solvable in radicals. Expectedly, they are almost in a 1-to-1 correspondence with tuples of lattice polytopes of mixed vo…
User Model-Based Intent-Aware Metrics for Multilingual Search Evaluation
Alexey Drutsa, Andrey Shutovich, Philipp Pushnyakov +3
Despite the growing importance of multilingual aspect of web search, no appropriate offline metrics to evaluate its quality are proposed so far. At the same time, personal language…
Multimodal Banking Dataset: Understanding Client Needs through Event Sequences
Dzhambulat Mollaev, Alexander Kostin, Maria Postnova +4
Financial organizations collect a huge amount of temporal (sequential) data about clients, which is typically collected from multiple sources (modalities). Despite the urgent pract…