Li, Chengcheng Ma, Chenchen Xu, Gongjun

Estimation of the large $Q$-matrix in Cognitive Diagnosis Models (CDMs) with many items and latent attributes from observational data has been a huge challenge due to its high computational cost. Borrowing ideas from deep learning literature, we propose to learn the large $Q$-matrix by Restricted Boltzmann Machines (RBMs) to overcome the computatio...

Jalali, Mana Kekatos, Vassilis Bhela, Siddharth Zhu, Hao Centeno, Virgilio

Synchrophasor data provide unprecedented opportunities for inferring power system dynamics, such as estimating voltage angles, frequencies, and accelerations along with power injection at all buses. Aligned to this goal, this work puts forth a novel framework for learning dynamics after small-signal disturbances by leveraging Gaussian processes (GP...

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...

Jahn, Uwe Kaganer, Vladimir M. Sabelfeld, Karl K. Kireeva, Anastasya E. Lähnemann, Jonas Pfüller, Carsten Chèze, Caroline Biermann, Klaus Calarco, Raffaella Brandt, Oliver
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The determination of the carrier diffusion length of semiconductors such as GaN and GaAs by cathodoluminescence imaging requires accurate knowledge about the spatial distribution of generated carriers. To obtain the lateral distribution of generated carriers for sample temperatures between 10 and 300 K, we utilize cathodoluminescence intensity prof...

Floccari, Salvatore

We show that the Andr\'{e} motive of a hyper-K\"{a}hler variety $X$ over a field $K \subset \mathbb{C}$ with $b_2(X)>3$ is governed by its component in degree $2$. More precisely, we prove that if $X_1$ and $X_2$ are deformation equivalent hyper-K\"{a}hler varieties with $b_2(X_i)>3$ and if there exists a Hodge isometry $f\colon H^2(X_1,\mathbb{Q})...

Ge, Songwei Singla, Vasu Basri, Ronen Jacobs, David

Shift invariance is a critical property of CNNs that improves performance on classification. However, we show that invariance to circular shifts can also lead to greater sensitivity to adversarial attacks. We first characterize the margin between classes when a shift-invariant linear classifier is used. We show that the margin can only depend on th...

Gabrié, Marylou Rotskoff, Grant M. Vanden-Eijnden, Eric

Many problems in the physical sciences, machine learning, and statistical inference necessitate sampling from a high-dimensional, multi-modal probability distribution. Markov Chain Monte Carlo (MCMC) algorithms, the ubiquitous tool for this task, typically rely on random, reversible, and local updates to propagate configurations of a given system i...

Leloup, Gérard

We make available some results about model theory cyclically ordered groups. We start with a classification of complete theories of divisible abelian cyclically ordered groups. Most of this paper is dedicated to the study of the model theory of torsion-free divisible abelian cyclically ordered groups, since we first show that the theory of divisibl...

Balseiro, Santiago Golrezaei, Negin Mahdian, Mohammad Mirrokni, Vahab Schneider, Jon

In the classical contextual bandits problem, in each round $t$, a learner observes some context $c$, chooses some action $a$ to perform, and receives some reward $r_{a,t}(c)$. We consider the variant of this problem where in addition to receiving the reward $r_{a,t}(c)$, the learner also learns the values of $r_{a,t}(c')$ for all other contexts $c'...

Kari, Jarkko Lutfalla, Victor H.

We prove that the SubRosa substitution tilings with $2n$-fold rotational symmetry defined by Kari and Rissanen are not planar for odd $n$. However we prove the existence of planar substitution tilings with $2n$-fold rotational symmetry for any odd $n$. The tilings we consider are rhombic and edge-to-edge. We give an explicit 10-fold substitution pl...