47 citations · 62 across the 14 of their papers we have counts for
17 papers
Decentralization and Acceleration Enables Large-Scale Bundle Adjustment
Taosha Fan, Joseph Ortiz, Ming Hsiao +4
Scaling to arbitrarily large bundle adjustment problems requires data and compute to be distributed across multiple devices. Centralized methods in prior works are only able to sol…
A general framework for the rigorous computation of invariant densities and the coarse-fine strategy
Stefano Galatolo, Maurizio Monge, Isaia Nisoli +1
In this paper we present a general, axiomatical framework for the rigorous approximation of invariant densities and other important statistical features of dynamics. We approximate…
Theseus: A Library for Differentiable Nonlinear Optimization
Luis Pineda, Taosha Fan, Maurizio Monge +10
We present Theseus, an efficient application-agnostic open source library for differentiable nonlinear least squares (DNLS) optimization built on PyTorch, providing a common framew…
Cramér distance and discretizations of circle expanding maps II: simulations
Pierre-Antoine Guihéneuf, Maurizio Monge
This paper presents some numerical experiments in relation with the theoretical study of the ergodic short-term behaviour of discretizations of expanding maps done in arXiv:2206.07…
Cramér distance and discretizations of circle expanding maps I: theory
Pierre-Antoine Guihéneuf, Maurizio Monge
This paper is aimed to study the ergodic short-term behaviour of discretizations of circle expanding maps. More precisely, we prove some asymptotics of the distance between the …
Verifiable Access Control for Augmented Reality Localization and Mapping
Shaowei Zhu, Hyo Jin Kim, Maurizio Monge +4
Localization and mapping is a key technology for bridging the virtual and physical worlds in augmented reality (AR). Localization and mapping works by creating and querying maps ma…
Existence of Noise Induced Order, a Computer Aided Proof
Stefano Galatolo, Maurizio Monge, Isaia Nisoli
We prove the existence of Noise Induced Order in the Matsumoto-Tsuda model, where it was originally discovered in 1983 by numerical simulations. This is a model of the famous Belos…
On wild extensions of a p-adic field
I. Del Corso, R. Dvornicich, M. Monge
In this paper we consider the problem of classifying the isomorphism classes of extensions of degree pk of a p-adic field, restricting to the case of extensions without intermediat…
Non-denseness of hyperbolicity for linear isomorphisms in Banach spaces
Jose F. Alves, Maurizio Monge
We present an infinite dimensional Banach space in which the set of hyperbolic linear isomorphisms in that space is not dense (in the norm topology) in the set of linear isomorphis…
A family of Eisenstein polynomials generating totally ramified extensions, identification of extensions and construction of class fields
Maurizio Monge
Let be a local field with finite residue field, we define a normal form for Eisenstein polynomials depending on the choice of a uniformizer and of residue representatives…
A characterization of Eisenstein polynomials generating cyclic extensions of degree and over an unramified $\kp$-adic field
Maurizio Monge
Let be a prime. We show a technique based on local class field theory and on the expansions of certain resultants which allows to recover very easily Lbekkouri's character…
Answer to a question on -groups, arisen from the study of Steinitz classes
Alessandro Cobbe, Maurizio Monge
In this short note we answer to a question of group theory from arXiv:0910.5080. In that paper the author describes the set of realizable Steinitz classes for so-called -groups…
Determination of the number of isomorphism classes of extensions of a $\kp$-adic field
Maurizio Monge
We deduce a formula enumerating the isomorphism classes of extensions of a $\kp$-adic field with given ramification and inertia . The formula follows from a simple group…
On perfect hashing of numbers with sparse digit representation via multiplication by a constant
Maurizio Monge
Consider the set of vectors over a field having non-zero coefficients only in a fixed sparse set and multiplication defined by convolution, or the set of integers having non-zero d…
Left invertibility of I/O quantized linear systems in dimension 1: a number theoretic approach
Nevio Dubbini, Maurizio Monge, Antonio Bicchi
This paper studies left invertibility of discrete-time linear I/O quantized linear systems of dimension 1. Quantized outputs are generated according to a given partition of the sta…
An equivalent of Kronecker's Theorem for powers of an Algebraic Number and Structure of Linear Recurrences of fixed length
Nevio Dubbini, Maurizio Monge
After defining a notion of -density, we provide for any real algebraic number an estimate of the smallest such that for each the set of vectors of the form $(t,tα,…
Generation of the Symmetric Field by Newton Polynomials in prime Characteristic
Maurizio Monge
Let be the -th Newton polynomial in two variables, for . Dvornicich and Zannier proved that in characteristic zero three Newton polynomials $N_a, N_b…