Results for "Michael Gully-Santiago"

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The effect of spots on the luminosity spread of the PleiadesOct 24 2018Cool spots on the surface of magnetically-active stars modulate their observed brightnesses and temperatures, thereby affecting the stellar locus on the H-R diagram. Recent high precision space-based photometric surveys reveal the rotational modulation ... More
A Grism Design Review and the as-built performance of the silicon grisms for JWST-NIRCAMNov 29 2016Grisms are dispersive transmission optics that find their most frequent use in instruments that combine imaging and spectroscopy. This application is particularly popular in the infrared where imagers frequently have a cold pupil in their optical path ... More
Kepler's Discoveries Will Continue: 21 Important Scientific Opportunities with Kepler & K2 Archive DataOct 30 2018NASA's Kepler Space Telescope has collected high-precision, high-cadence time series photometry on 781,590 unique postage-stamp targets across 21 different fields of view. These observations have already yielded 2,496 scientific publications by authors ... More
The Ring Structure in the MWC 480 Disk Revealed by ALMANov 07 2018Gap-like structures in protoplanetary disks are likely related to planet formation processes. In this paper, we present and analyze high resolution (0.17*0.11 arcsec) 1.3 mm ALMA continuum observations of the protoplanetary disk around the Herbig Ae star ... More
The Eruption of the Candidate Young Star ASASSN-15qiJul 21 2016Aug 15 2016Outbursts on young stars are usually interpreted as accretion bursts caused by instabilities in the disk or the star-disk connection. However, some protostellar outbursts may not fit into this framework. In this paper, we analyze optical and near-infrared ... More
Constraining Stellar Photospheres as an Essential Step for Transmission Spectroscopy of Small ExoplanetsMar 14 2019Transmission spectra probe the atmospheres of transiting exoplanets, but these observations are also subject to signals introduced by magnetic active regions on host stars. Here we outline scientific opportunities in the next decade for providing useful ... More
Optical characterization of gaps in directly bonded Si compound optics using infrared spectroscopyNov 04 2015Silicon direct bonding offers flexibility in the design and development of Si optics by allowing manufacturers to combine subcomponents with a potentially lossless and mechanically stable interface. The bonding process presents challenges in meeting the ... More
The first SPIE software Hack DayAug 06 2014We report here on the software Hack Day organised at the 2014 SPIE conference on Astronomical Telescopes and Instrumentation in Montreal. The first ever Hack Day to take place at an SPIE event, the aim of the day was to bring together developers to collaborate ... More
K2SUPERSTAMP: The release of calibrated mosaics for the {\em Kepler/K2} MissionFeb 18 2018We describe the release of a new High Level Science Product (HLSP) available at the MAST archive. The HLSP, called K2Superstamp, consists of a series of FITS images for four open star clusters observed by the K2 Mission using so-called "superstamp" pixel ... More
Graph-based Semi-Supervised & Active Learning for Edge FlowsMay 17 2019We present a graph-based semi-supervised learning (SSL) method for learning edge flows defined on a graph. Specifically, given flow measurements on a subset of edges, we want to predict the flows on the remaining edges. To this end, we develop a computational ... More
Centrality measures for graphons: Accounting for uncertainty in networksJul 28 2017Nov 28 2018As relational datasets modeled as graphs keep increasing in size and their data-acquisition is permeated by uncertainty, graph-based analysis techniques can become computationally and conceptually challenging. In particular, node centrality measures rely ... More
Distributed Constrained Online LearningMar 15 2019In this paper, we consider groups of agents in a network that select actions in order to satisfy a set of constraints that vary arbitrarily over time and minimize a time-varying function of which they have only local observations. The selection of actions, ... More
A catalog of 29 open clusters and associations observed by the Kepler and K2 MissionsOct 29 2018Over the past nine years, the Kepler and K2 Missions have carried out high precision photometric monitoring of more than half a million stars. Among these targets are 29 clusters and associations, with ages from 1 Myr to over 11 Gyr. We have generated ... More
Quantum effects in the cooperative scattering of light by atomic cloudsJan 15 2017Mar 30 2017Scattering of classical light by atomic clouds induces photon-mediated effective long-range interactions between the atoms and leads to cooperative effects even at low atomic densities. We introduce a novel simulation technique that allows us to investigate ... More
Unusual angular dependence of tunneling magneto-Seebeck effectNov 12 2013We find an unusual angular dependence of the tunneling magneto-Seebeck effect (TMS). The conductance shows normally a cosine-dependence with the angle between the magnetizations of the two ferromagnetic leads. In contrast, the angular dependence of the ... More
On the existence of a proper minimal surface in $R^3$ with the conformal type of a diskJan 13 2003The main goal of this paper is to show a counterexample to the following conjecture: {\bf Conjecture} [Meeks, Sullivan]: If $f:M\to \mathbb{R}^3$ is a complete proper minimal immersion where $M$ is a Riemannian surface without boundary and with finite ... More
Routh reduction and Cartan mechanicsJun 08 2016Sep 06 2016In the present work a Cartan mechanics version for Routh reduction is considered, as an intermediate step toward Routh reduction in field theory. Motivation for this generalization comes from an scheme for integrable systems [12], used for understanding ... More
Facial reduction for exact polynomial sum of squares decompositionsOct 09 2018We study the problem of decomposing a non-negative polynomial as an exact sum of squares (SOS) in the case where the associated semidefinite program is feasible but not strictly feasible (for example if the polynomial has real zeros). Computing symbolically ... More
Dirac constraints in field theory and exterior differential systemsSep 25 2008Mar 17 2010The usual treatment of a (first order) classical field theory such as electromagnetism has a little drawback: It has a primary constraint submanifold that arise from the fact that the dynamics is governed by the antisymmetric part of the jet variables. ... More
Crossed product by actions of finite groups with the Rokhlin PropertyJan 27 2014We introduce and study a Rokhlin-type property for actions of finite groups on (not necessarily unital) C*-algebras. We show that the corresponding crossed product C*-algebras can be locally approximated by C*-algebras that are stably isomorphic to closed ... More
Experiment Segmentation in Scientific Discourse as Clause-level Structured Prediction using Recurrent Neural NetworksFeb 17 2017We propose a deep learning model for identifying structure within experiment narratives in scientific literature. We take a sequence labeling approach to this problem, and label clauses within experiment narratives to identify the different parts of the ... More
Low bend loss waveguides enable compact, efficient 3D photonic chipsFeb 11 2013We present a novel method to fabricate low bend loss femtosecond-laser written waveguides that exploits the differential thermal stabilities of laser induced refractive index modifications. The technique consists of a two-step process; the first involves ... More
Investigation of the WR 11 field at decimeter wavelengthsMar 25 2019The massive binary system WR11 has been recently proposed as the counterpart of a Fermi source. If correct, it would be the second colliding wind binary detected in GeV gamma-rays. However, the reported flux measurements from 1.4 to 8.64GHz fail to establish ... More
Differential geometry, Palatini gravity and reductionSep 17 2012Nov 29 2013The present article deals with a formulation of the so called (vacuum) Palatini gravity as a general variational principle. In order to accomplish this goal, some geometrical tools related to the geometry of the bundle of connections of the frame bundle ... More
Unified formalism for Palatini gravityJul 19 2017The present article is devoted to the construction of a unified formalism for Palatini and unimodular gravity. The basic idea is to employ a relationship between unified formalism for a Griffiths variational problem and its classical Lepage-equivalent ... More
AKS systems and Lepage equivalent problemsJan 06 2011The integrable systems known as "AKS systems" admit a natural formulation in terms of a Hamiltonian picture. The Lagrangian side of these systems are far less known; a version in these terms can be found in a work of Feher et al. The purpose of these ... More
Four quasars above redshift 6 discovered by the Canada-France High-z Quasar SurveyJun 06 2007Aug 30 2007The Canada-France High-z Quasar Survey (CFHQS) is an optical survey designed to locate quasars during the epoch of reionization. In this paper we present the discovery of the first four CFHQS quasars at redshift greater than 6, including the most distant ... More
Eichler-Shimura isomorphism and group cohomology on arithmetic groupsJan 03 2017The Eichler-Shimura isomorphism realizes the automorphic representation generated by an automorphic newform in certain cohomology of an arithmetic group. In this short note, we give a cohomological interpretation of the Eichler-Shimura isomorphism as ... More
On laws of large numbers in $L^2$ for supercritical branching Markov processes beyond $λ$-positivityNov 15 2017We give necessary and sufficient conditions for laws of large numbers to hold in $L^2$ for the empirical measure of a large class of branching Markov processes, including $\lambda$-positive systems but also some $\lambda$-transient ones, such as the branching ... More
A revised augmented Cuntz semigroupApr 07 2019We revise the construction of the augmented Cuntz semigroup functor used by the first author to classify inductive limits of 1-dimensional noncommutative CW complexes. The original construction has good functorial properties when restricted to the class ... More
Canonical isometric embeddings of projective spaces into spheresDec 25 2018We define inductively isometric embeddings of $\mb{P}^n(\mb{R})$ and $\mb{P}^n(\mb{C})$ (with their canonical metrics conveniently scaled) into the standard unit sphere, which present the former as the restriction of the latter to the set of real points. ... More
A Strong Law of Large Numbers for Super-critical Branching Brownian Motion with AbsorptionAug 28 2017Sep 12 2018We consider a (one-dimensional) branching Brownian motion process with a general offspring distribution having at least two moments, and in which all particles have a drift towards the origin where they are immediately absorbed. It is well-known that ... More
Stability and Continuity of Centrality Measures in Weighted GraphsOct 19 2014This paper presents a formal definition of stability for node centrality measures in weighted graphs. It is shown that the commonly used measures of degree, closeness and eigenvector centrality are stable whereas betweenness centrality is not. An alternative ... More
Stochastic Artificial Potentials for Online Safe NavigationDec 30 2016Consider a convex set of which we remove an arbitrarily number of disjoints convex sets -- the obstacles -- and a convex function whose minimum is the agent's goal. We consider a local and stochastic approximation of the gradient of a Rimon-Koditschek ... More
On the structure of the fiber cone of ideals with analytic spread oneMar 02 2006Foa a given local ring, we study the fiber cone of ideals with analytic spread one. In this case, the fiber cone has a strucure as a module over its Noether normalization which is a polynomial ring in one variable over the residue field. One may then ... More
The $L^2$-norm of the second fundamental form of isometric immersions into a Riemannian manifoldDec 31 2014We consider critical points of the global squared $L^2$-norms of the second fundamental form and the mean curvature vector of isometric immersions into a fixed background Riemannian manifold under deformations of the immersion. We use the critical points ... More
Equivariant Schubert CalculusMar 15 2007Let $T$ be a torus acting on $\CC^n$ in such a way that, for all $1\leq k\leq n$, the induced action on the grassmannian $G(k,n)$ has only isolated fixed points. This paper proposes a natural, elementary, explicit description of the corresponding $T$-equivariant ... More
A Review of Reinforcement Learning for Autonomous Building Energy ManagementMar 12 2019Mar 15 2019The area of building energy management has received a significant amount of interest in recent years. This area is concerned with combining advancements in sensor technologies, communications and advanced control algorithms to optimize energy utilization. ... More
Online Learning of Feasible Strategies in Unknown EnvironmentsApr 07 2016Define an environment as a set of convex constraint functions that vary arbitrarily over time and consider a cost function that is also convex and arbitrarily varying. Agents that operate in this environment intend to select actions that are feasible ... More
Holomorphic Anomaly and Quantum MechanicsDec 22 2016Dec 30 2017We show that the all-orders WKB periods of one-dimensional quantum mechanical oscillators are governed by the refined holomorphic anomaly equations of topological string theory. We analyze in detail the double-well potential and the cubic and quartic ... More
On the Kesten-Stigum theorem in $L^2$ beyond $λ$-positivityJan 26 2017Jul 04 2017We study supercritical branching processes in which all particles evolve according to some general Markovian motion (which may possess absorbing states) and branch independently at a fixed constant rate. Under fairly natural assumptions on the asymptotic ... More
Complete proper minimal surfaces in convex bodies of $\r^3$ (II): The behavior of the limit setMay 24 2005Let $D$ be a regular strictly convex bounded domain of $\r^3$, and consider a regular Jordan curve $\Gamma \subset \partial D$. Then, for each $\epsilon>0$, we obtain the existence of a complete proper minimal immersion $\psi_\epsilon :\d \to D$ satisfying ... More
Complete proper minimal surfaces in convex bodies of $R^3$May 26 2004Consider a convex domain B of space. We prove that there exist complete minimal surfaces which are properly immersed in B. We also demonstrate that if D and D' are convex domains with D bounded and the closure of D contained in D' then any minimal disk ... More
Catalan Traffic and Integrals on the Grassmannians of LinesApr 18 2007We prove that certain numbers occurring in a problem of paths enumeration, studied by Niederhausen (Catlan Traffic at the Beach, The Electronic Journal of Combinatorics, 9, (2002), 1--17), are top intersection numbers in the cohomology ring of the grassmannians ... More
Equivariant *-homomorphisms, Rokhlin constraints and equivariant UHF-absorptionJan 22 2015Feb 05 2015We classify equivariant *-homomorphisms between C*-dynamical systems associated to actions of finite groups on C*-algebras with the Rokhlin property. In addition, the given actions are classified. An obstruction is obtained for the Cuntz semigroup of ... More
Hypercyclic homogeneous polynomials on $H(\mathbb C)$Mar 14 2017Jul 28 2017It is known that homogeneous polynomials on Banach spaces cannot be hypercyclic, but there are examples of hypercyclic homogeneous polynomials on some non-normable Fr\'echet spaces. We show the existence of hypercyclic polynomials on $H(\mathbb C)$, by ... More
Some remarks on the Lp regularity of second derivatives of solutions to non-divergence elliptic equations and the Dini conditionJun 17 2016In this note we prove an end-point regularity result on the Lp integrability of the second derivatives of solutions to non-divergence form uniformly elliptic equations whose second derivatives are a priori only known to be integrable. The main assumption ... More
Enhancing Geometric Deep Learning via Graph Filter DeconvolutionSep 24 2018In this paper, we incorporate a graph filter deconvolution step into the classical geometric convolutional neural network pipeline. More precisely, under the assumption that the graph domain plays a role in the generation of the observed graph signals, ... More
Small Random Perturbations of a Dynamical System with Blow-upNov 15 2010We study small random perturbations by additive white-noise of a spatial discretization of a reaction-diffusion equation with a stable equilibrium and solutions that blow up in finite time. We prove that the perturbed system blows up with total probability ... More
A simple shearlet-based reconstruction for computer tomographyJul 25 2017May 07 2018We find a new and simple inversion formula of the Radon transform RT with the only use of the shearlet system and of well-known properties of RT. No intertwining relation of differential operators in Euclidean space and Radon domain is used. As a consequence, ... More
Placing the spotted T Tauri star LkCa 4 on an HR diagramJan 24 2017Ages and masses of young stars are often estimated by comparing their luminosities and effective temperatures to pre-main sequence stellar evolution tracks, but magnetic fields and starspots complicate both the observations and evolution. To understand ... More
The Architecture of the GW Ori Young Triple Star System and Its Disk: Dynamical Masses, Mutual Inclinations, and Recurrent EclipsesOct 09 2017Nov 20 2017We present spatially and spectrally resolved Atacama Large Millimeter/submillimeter Array (ALMA) observations of gas and dust orbiting the pre-main sequence hierarchical triple star system GW Ori. A forward-modeling of the ${}^{13}$CO and C${}^{18}$O ... More
Understanding Stellar Contamination in Exoplanet Transmission Spectra as an Essential Step in Small Planet CharacterizationMar 23 2018Transmission spectroscopy during planetary transits is expected to be a major source of information on the atmospheres of small (approximately Earth-sized) exoplanets in the next two decades. This technique, however, is intrinsically affected by stellar ... More
Gaps and Rings in an ALMA Survey of Disks in the Taurus Star-forming RegionOct 14 2018Rings are the most frequently revealed substructure in ALMA dust observations of protoplanetary disks, but their origin is still hotly debated. In this paper, we identify dust substructures in 12 disks and measure their properties to investigate how they ... More
New examples of ballistic RWRE in the low disorder regimeAug 04 2018We give a new criterion for ballistic behavior of random walks in random environments which are low disorder perturbations of the simple symmetric random walk on $\mathbb{Z}^d$, for $d\geq 2$. This extends the results established by Sznitman in 2003 and, ... More
Labeling Algorithm and Compact Routing Scheme for a Small World Network ModelJun 05 2018This paper presents a small world networks generative model and a labeling algorithm for networks generated by this model. In the context of routing messages in networks, labeling algorithms process a network assigning labels, that are addresses, to the ... More
Small World Model based on a Sphere Homeomorphic GeometryAug 02 2018We define a small world model over the octahedron surface and relate its distances with those of embedded spheres, preserving constant bounded distortions. The model builds networks with both number of vertices and size $\Theta\left(n^2\right)$, where ... More
The MUSE Atlas of Disks (MAD): Resolving Star Formation Rates and Gas Metallicities on < 100pc ScalesJan 14 2019We study the physical properties of the ionized gas in local disks using the sample of 38 nearby $\sim10^{8.5-11.2}$M$_\odot$ Star-Forming Main Sequence (SFMS) galaxies observed so far as part of the MUSE Atlas of Disks (MAD). Specifically, we use all ... More
Codimension one compact center foliations are uniformly compactSep 07 2018Dec 30 2018Let $f:M\to M$ be a dynamically coherent partially hyperbolic diffeomorphism whose center foliation has all its leaves compact. We prove that if the unstable bundle of $f$ is one-dimensional, then the volume of center leaves must be bounded in $M$.
Towards relativistic quantum geometryJun 30 2015Oct 28 2015We obtain a gauge-invariant relativistic quantum geometry by using a Weylian-like manifold with a geometric scalar field which provides a gauge-invariant relativistic quantum theory in which the algebra of the Weylian-like field depends on observers. ... More
Efficiency and Equilibria in Games of Optimal Derivative DesignJul 05 2011In this paper the problem of optimal derivative design, profit maximization and risk minimization under adverse selection when multiple agencies compete for the business of a continuum of heterogenous agents is studied. The presence of ties in the agents' ... More
Coevolution of agents and networks: Opinion spreading and community disconnectionMar 10 2006We study a stochastic model for the coevolution of a process of opinion formation in a population of agents and the network which underlies their interaction. Interaction links can break when agents fail to reach an opinion agreement. The structure of ... More
PHIBSS: Exploring the Dependence of the CO-H$_2$ Conversion Factor on Total Mass Surface Density at ${\it z} < 1.5$Nov 14 2016Dec 16 2016We present an analysis of the relationship between the CO-H$_{2}$ conversion factor ($\alpha_{\rm CO}$) and total mass surface density ($\Sigma_{\rm tot}$) in star-forming galaxies at $z < 1.5$. Our sample, which is drawn from the IRAM Plateau de Bure ... More
TYC 3637-1152-1 - a High Amplitude delta Scuti star with peculiar pulsational propertiesNov 13 2018In some delta Scuti stars, only one or two radial modes are excited (usually the fundamental mode and/or first overtone mode) and the observed peak-to-peak amplitudes exceed 0.3 mag (V). These stars are known as High Amplitude Delta Scuti (HADS) variables. ... More
Classification of Tensor Decompositions of II$_1$ Factors Associated With Poly-Hyperbolic GroupsFeb 25 2018We demonstrate von Neumann algebra arising from an icc group $\Gamma$ in Chifan's, Ioana's, and Kida's class of poly-$\mathcal{C}_\text{rss} $, such as a poly-hyperbolic group with no amenable factors in its composition series, satisfies the following ... More
Superimposed Oscillations in Brane InflationApr 11 2013Dec 26 2013In canonical scalar field inflation, the Starobinsky model (with a linear potential but discontinuous slope) is remarkable in that though slow-roll is violated, both the power-spectrum and bi-spectrum can be calculated exactly analytically. The two-point ... More
LT^2C^2: A language of thought with Turing-computable Kolmogorov complexityMar 04 2013In this paper, we present a theoretical effort to connect the theory of program size to psychology by implementing a concrete language of thought with Turing-computable Kolmogorov complexity (LT^2C^2) satisfying the following requirements: 1) to be simple ... More
Spectral Theory and Mirror Curves of Higher GenusJul 08 2015Dec 23 2015Recently, a correspondence has been proposed between spectral theory and topological strings on toric Calabi-Yau manifolds. In this paper we develop in detail this correspondence for mirror curves of higher genus, which display many new features as compared ... More
Comment on "Two Phase Transitions in the Fully frustrated XY Model"Oct 15 1996The conclusions of a recent paper by Olsson (Phys. Rev. Lett. 75, 2758 (1995), cond-mat/9506082) about the fully frustrated XY model in two dimensions are questioned. In particular, the evidence presented for having two separate chiral and U(1) phase ... More
Critical Exponents of the Fully Frustrated 2-D Xy ModelFeb 23 1994We present a detailed study of the critical properties of the 2-D XY model with maximal frustration in a square lattice. We use extensive Monte Carlo simulations to study the thermodynamics of the spin and chiral degrees of freedom, concentrating on their ... More
Mixed Bohr radius in several variablesDec 21 2017Let $K(B_{\ell_p^n},B_{\ell_q^n}) $ be the $n$-dimensional $(p,q)$-Bohr radius for holomorphic functions on $\mathbb C^n$. That is, $K(B_{\ell_p^n},B_{\ell_q^n}) $ denotes the greatest constant $r\geq 0$ such that for every entire function $f(z)=\sum_{\alpha} ... More
On the number of generators of a separable algebra over a finite fieldSep 20 2017Let $F$ be a field and let $E$ be an \'etale algebra over $F$, that is, a finite product of finite separable field extensions $E = F_1 \times \dots \times F_r$. The classical primitive element theorem asserts that if $r = 1$, then $E$ is generated by ... More
Mixed aggregated finite element methods for the unfitted discretization of the Stokes problemMay 04 2018In this work, we consider unfitted finite element methods for the numerical approximation of the Stokes problem. It is well-known that this kind of methods lead to arbitrarily ill-conditioned systems. In order to solve this issue, we consider the recently ... More
Learning Parametric Closed-Loop Policies for Markov Potential GamesFeb 03 2018May 22 2018Multiagent systems where agents interact among themselves and with a stochastic environment can be formalized as stochastic games. We study a subclass named Markov potential games (MPGs) that appear often in economic and engineering applications when ... More
Strongly mixing convolution operators on Fréchet spaces of holomorphic functionsNov 29 2013Jul 30 2014A theorem of Godefroy and Shapiro states that non-trivial convolution operators on the space of entire functions on $\mathbb{C}^n$ are hypercyclic. Moreover, it was shown by Bonilla and Grosse-Erdmann that they have frequently hypercyclic functions of ... More
Robust Worst-Case Analysis of Demand-Side Management in Smart GridsApr 26 2016May 05 2016Demand-side management presents significant benefits in reducing the energy load in smart grids by balancing consumption demands or including energy generation and/or storage devices in the user's side. These techniques coordinate the energy load so that ... More
On the self-CPG curves and the Björling problemOct 15 2010Dec 09 2011Schwartz's solution to the Bj\"orling problem leads to an equivalence class of spatial strips S(t)=(c(t),n(t)) which produce equivalent minimal surfaces. For the particular case when the generating strip S(t) belongs to some plane E and c(t) is symmetric ... More
Unveiling dark states via two-dimensional magnetic pulse spectroscopyJan 02 2019The study and manipulation of low dipole moment quantum states has been historically difficult due to their inaccessibility by conventional spectroscopic techniques. Controlling the spin in such states requires unfeasibly strong magnetic fields to overcome ... More
High-Dimensional Joint Estimation of Multiple Directed Gaussian Graphical ModelsApr 03 2018We consider the problem of jointly estimating multiple related directed acyclic graph (DAG) models based on high-dimensional data from each graph. This problem is motivated by the task of learning gene regulatory networks based on gene expression data ... More
Distributed Linear Network Operators using Graph FiltersOct 14 2015May 21 2017We study the design of graph filters to implement arbitrary linear transformations between graph signals. Graph filters can be represented by matrix polynomials of the graph-shift operator, which captures the structure of the graph and is assumed to be ... More
Hierarchical Overlapping Clustering of Network Data Using Cut MetricsNov 04 2016Dec 12 2017A novel method to obtain hierarchical and overlapping clusters from network data -i.e., a set of nodes endowed with pairwise dissimilarities- is presented. The introduced method is hierarchical in the sense that it outputs a nested collection of groupings ... More
Metastability for small random perturbations of a PDE with blow-upJan 08 2015We study small random perturbations by additive space-time white noise of a reaction-diffusion equation with a unique stable equilibrium and solutions which blow up in finite time. We show that for initial data in the domain of attraction of the stable ... More
Relative Gorenstein objects in abelian categoriesOct 19 2018Let $\mathcal{A}$ be an abelian category. For a pair $(\mathcal{X},\mathcal{Y})$ of classes of objects in $\mathcal{A},$ we define the weak and the $(\mathcal{X},\mathcal{Y})$-Gorenstein relative projective objects in $\mathcal{A}.$ We point out that ... More
Minimally Unbalanced QuiversOct 02 2018Oct 08 2018We develop a classification of \emph{minimally unbalanced} $3d~\mathcal{N}=4$ quiver gauge theories. These gauge theories are important because the isometry group $G$ of their Coulomb branch contains a single factor, which is either a classical or an ... More
Normalization of RingsApr 22 2009Jun 07 2010We present a new algorithm to compute the integral closure of a reduced Noetherian ring in its total ring of fractions. A modification, applicable in positive characteristic, where actually all computations are over the original ring, is also described. ... More
Search for new physics using events with two same-sign isolated leptons in the final state in pp collisions at 8 TeVAug 06 2014A search for new physics is performed based on events with jets and a pair of isolated, same-sign leptons. The results are obtained using a sample of proton-proton collision data collected by the CMS experiment at a centre-of-mass energy of 8 TeV at the ... More
Cooperative Network Navigation: Fundamental Limit and its Geometrical InterpretationDec 15 2011Localization and tracking of moving nodes via network navigation gives rise to a new paradigm, where nodes exploit both temporal and spatial cooperation to infer their positions based on intra- and inter-node measurements. While such cooperation can significantly ... More
Tropical Geometry and Five Dimensional Higgs Branches at Infinite CouplingOct 02 2018Superconformal five dimensional theories have a rich structure of phases and brane webs play a crucial role in studying their properties. This paper is devoted to the study of a three parameter family of SQCD theories, given by the number of colors $N_c$ ... More
An automorphic approach to Darmon pointsSep 20 2017We give archimedean and non-archimedean constructions of Darmon points on modular abelian varieties attached to automorphic forms over arbitrary number fields and possibly non-trivial central character. An effort is made to present a unifying point of ... More
On inductive limits of type I C*-algebras with one-dimensional spectrumApr 02 2010The class of separable C*-algebras which can be written as inductive limits of continuous-trace C*-algebras with spectrum homeomorphic to a disjoint union of trees and trees with a point removed is classified by the Cuntz semigroup.
Diffusion and Superposition Distances for Signals Supported on NetworksNov 27 2014We introduce the diffusion and superposition distances as two metrics to compare signals supported in the nodes of a network. Both metrics consider the given vectors as initial temperature distributions and diffuse heat trough the edges of the graph. ... More
A Newton-Based Method for Nonconvex Optimization with Fast Evasion of Saddle PointsJul 25 2017Jul 20 2018Machine learning problems such as neural network training, tensor decomposition, and matrix factorization, require local minimization of a nonconvex function. This local minimization is challenged by the presence of saddle points, of which there can be ... More
Existence of common zeros for commuting vector fields on $3$-manifolds II. Solving global difficultiesOct 18 2017Feb 01 2018We address the following conjecture about the existence of common zeros for commuting vector fields in dimension three: let $X,Y$ be two $C^1$ commuting vector fields on a $3$-manifold $M$, and $U$ be a relatively compact open set where $Y$ does not vanish, ... More
On Alfred Gray's Elliptical CatenoidJun 12 2011We give a parameterization of Alfred Gray's Elliptical Catenoid and Elliptical Hellicoid using Jacobi's elliptic functions. This parameterization avoids some problems present in the original depiction of these surfaces.
Distributed-memory parallelization of the aggregated unfitted finite element methodFeb 04 2019The aggregated unfitted finite element method (AgFEM) is a methodology recently introduced in order to address conditioning and stability problems associated with embedded, unfitted, or extended finite element methods. The method is based on removal of ... More
W$^*$-Rigidity for the von Neumann Algebras of Products of Hyperbolic GroupsAug 19 2015We show that if $\Gamma = \Gamma_1\times\dotsb\times \Gamma_n$ is a product of $n\geq 2$ non-elementary ICC hyperbolic groups then any discrete group $\Lambda$ which is $W^*$-equivalent to $\Gamma$ decomposes as a $k$-fold direct sum exactly when $k=n$. ... More
Towards Generalized Speech Enhancement with Generative Adversarial NetworksApr 06 2019The speech enhancement task usually consists of removing additive noise or reverberation that partially mask spoken utterances, affecting their intelligibility. However, little attention is drawn to other, perhaps more aggressive signal distortions like ... More
Tangent cones of numerical semigroup ringsJun 04 2009In this paper we describe the structure of the tangent cone of a numerical semigroup ring $A=k[[S]] \subseteq k[[t]]$ with multiplicity $e$ (as a module over the Noether normalization determined by the fiber cone of the ideal generated by $t^e$) in terms ... More
SEGAN: Speech Enhancement Generative Adversarial NetworkMar 28 2017Jun 09 2017Current speech enhancement techniques operate on the spectral domain and/or exploit some higher-level feature. The majority of them tackle a limited number of noise conditions and rely on first-order statistics. To circumvent these issues, deep networks ... More
Absolute continuity of non-homogeneous self-similar measuresSep 15 2017Mar 15 2018We prove that self-similar measures on the real line are absolutely continuous for almost all parameters in the super-critical region, in particular confirming a conjecture of S-M. Ngai and Y. Wang. While recently there has been much progress in understanding ... More