In this appendix, we follow all the same notation in Section 9. Our aim is to prove that the constant δ(Λ) does not appear in the lower bound, showing also that the frame inequality in (4.9) in Theorem 4.4 is indeed the Parseval identity.

Let $R$ be an expanding matrix with integer entries and let $B,L$ be finite integer digit sets so that $(R,B,L)$ form a Hadamard triple on ${\br}^d$ …

For the rest of the paper g will be an even integer g≥4 and m will be an odd integer m≥1.

We investigate some relations between number theory and spectral measures related to the harmonic analysis of a Cantor set. Specifically, we explore …

Despite being impactful on a variety of problems and applications, the generative adversarial nets (GANs) are remarkably difficult to train. This iss…

The Long Short-Term Memory (LSTM) recurrent neural network is capable of processing complex sequential information since it utilizes special gating s…

The long short-term memory (LSTM) neural network is capable of processing complex sequential information since it utilizes special gating schemes for…

Smart contract transactions demonstrate issues of performance and correctness that application programmers must work around. Although the blockchain …

Anatomical and biophysical modeling of left atrium (LA) and proximal pulmonary veins (PPVs) is important for clinical management of several cardiac d…

Image search and retrieval engines rely heavily on textual annotation in order to match word queries to a set of candidate images. A system that can …

Sub-pixel registration is a crucial step for applications such as super-resolution in remote sensing, motion compensation in magnetic resonance imagi…

The main goal of this study is to investigate the robustness of graph-based Deep Learning (DL) models used for Internet of Things (IoT) malware class…

With Von-Neumann computing architectures struggling to address computationally- and memory-intensive big data analytic task today, Processing-in-Memo…

If A1,…,An are finite spectral sets in G1,…,Gn respectively, with corresponding spectra Λ1,…,Λn, then A1×⋯×An is spectral in G1×⋯×Gn with spectrum Λ1×⋯×Λn.

Based on tiles and on the Coven-Meyerowitz property, we present some examples and some general constructions of spectral subsets of integers.

Phase retrieval arises in various fields of science and engineering and it is well studied in a finite-dimensional setting. In this paper, we conside…

Energy-harvesting-powered computing offers intriguing and vast opportunities to dramatically transform the landscape of the Internet of Things (IoT) …

In connection to the Fuglede conjecture, we study groups of local translations associated to spectral sets, i.e., measurable sets in $\br$ or $\bz$ t…

Several recent projects demonstrated the promise of end-to-end learned deep visuomotor policies for robot manipulator control. Despite impressive pro…

Emerging Non-Volatile Memories (NVMs) are promising contenders for building future memory systems. On the other side, unlike DRAM systems, NVMs can r…

Convolutional neural networks (CNNs) have shown remarkable results over the last several years for a wide range of computer vision tasks. A new archi…

The second-largest eigenvalue and second-smallest Laplacian eigenvalue of a graph are measures of its connectivity. These eigenvalues can be used to …

Asking effective questions is a powerful social skill. In this paper we seek to build computational models that learn to discriminate effective quest…

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