Castro, Ángel Córdoba, Diego Zheng, Fan

We consider smooth solutions of the Burgers-Hilbert equation that are a small perturbation $\delta$ from a global periodic traveling wave with small amplitude $\epsilon$. We use a modified energy method to prove the existence time of smooth solutions on a time scale of $\frac{1}{\epsilon\delta}$ with $0\frac{2}{e}$.

Arpin, Sarah Bozlee, Sebastian Herr, Leo Smith, Hanson

Given an extension of algebras $B/A$, when is $B$ generated by a single element $\theta \in B$ over $A$? We show there is a scheme $\mathcal{M}_{B/A}$ parameterizing the choice of a generator $\theta \in B$, a "moduli space" of generators. This scheme relates naturally to Hilbert schemes and configuration spaces. We give explicit equations and ampl...

Boutabba, Mohamed Amine Rannou, Yves

International audience

Zhang, Yabin Deng, Bin Tang, Hui Zhang, Lei Jia, Kui
Published in
IEEE transactions on pattern analysis and machine intelligence

In this paper, we study the formalism of unsupervised multi-class domain adaptation (multi-class UDA), which underlies a few recent algorithms whose learning objectives are only motivated empirically. Multi-Class Scoring Disagreement (MCSD) divergence is presented by aggregating the absolute margin violations in multi-class classification, and this...

Zeng, Cheng Duan, Leo L.

In mixture modeling and clustering application, the number of components is often not known. The stick-breaking model is an appealing construction that assumes infinitely many components, while shrinking most of the redundant weights to near zero. However, it has been discovered that such a shrinkage is unsatisfactory: even when the component distr...

Borghi, Riccardo

A pedagogical derivation of the Huygens cycloidal pendulum, suitable for high-school students, is here presented. Our derivation rests only on simple algebraic and geometrical tricks, without the need of any Calculus concept.

Lin, Baihan Bouneffouf, Djallel Cecchi, Guillermo

Unlike traditional time series, the action sequences of human decision making usually involve many cognitive processes such as beliefs, desires, intentions and theory of mind, i.e. what others are thinking. This makes predicting human decision making challenging to be treated agnostically to the underlying psychological mechanisms. We propose to us...

Améndola, Carlos García-Puente, Luis David Homs, Roser Kuznetsova, Olga Motwani, Harshit J.

We introduce the package GraphicalModelsMLE for computing the maximum likelihood estimator (MLE) of a Gaussian graphical model in the computer algebra system Macaulay2. The package allows to compute for the class of loopless mixed graphs. Additional functionality allows to explore the underlying algebraic structure of the model, such as its ML degr...

Caviglia, Giulio Liang, Yihui

In 2016 Ananyan and Hochster proved Stillman's conjecture by showing the existence of a uniform upper bound for the projective dimension of all homogeneous ideals, in polynomial rings over a field, generated by n forms of degree at most d. Explicit values of the bounds for forms of degrees 5 and higher are not yet known. The main result of this art...

Crowe, Eliot Granderson, Jessica Fernandes, Samuel

Advanced measurement & verification (M&V), or M&V 2.0, is an energy data analysis method using advanced metering infrastructure (AMI) data in combination with analytics to quantify energy efficiency project savings. Advanced M&V is viewed as an enabler for underutilized behavioral, retrocommissioning, and holistic multi-measure efficiency efforts, ...