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What do AI algorithms actually learn? - On false structures in deep learning
There are two big unsolved mathematical questions in artificial intelligence (AI): (1) Why is deep learning so successful in classification problems and (2) why are neural nets based on deep learning at the same time universally unstable. Expand
PD and fuzzy logic control for earthquake resilient structures
- P. Álvarez, Brittany McElwain, L. Thesing, Sanooj Edalath, A. Kukreti, Kelly Cohen
- Engineering, Computer Science
- Comput. Appl. Eng. Educ.
- 1 March 2014
This research considers small‐scale and mathematical models of simple one‐story structures that are subjected to free and base‐motion excitations and installed with and without passive damping devices to gain an understanding of their dynamic behavior. Expand
On the stable sampling rate for binary measurements and wavelet reconstruction
We show that for binary measurements (modelled with Walsh functions and Hadamard matrices) and wavelet reconstruction the stable sampling rate is linear. Expand
First principles study of vacancies and Al substitutional impurities in δ-TiN
The vacancies and aluminum substitutional impurities in the delta phase of titanium nitride have been studied through first principles spin polarized density functional theory calculations. Final… Expand
Theoretical investigation on the stability and properties of a (10,0) BN-AlN nanotube junction.
The energetic, electronic and structural properties of a heterojunction formed by BN and AlN (10,0) nanotubes have been studied using first principles density functional theory. The differences… Expand
Linear reconstructions and the analysis of the stable sampling rate
The theory of sampling and the reconstruction of data has a wide range of applications and a rich collection of techniques. Expand
Non-uniform Recovery Guarantees for Binary Measurements and Infinite-Dimensional Compressed Sensing
We provide the first non-uniform recovery guarantees for infinite-dimensional compressed sensing with Walsh samples and wavelet reconstruction. Expand
On reconstructions from measurements with binary functions
We consider the problem of reconstructions from linear measurements with binary functions. That is, the samples of the function are given by inner products with functions taking only the values 0 and… Expand
On Reconstructing Functions from Binary Measurements
We consider the problem of reconstructing a function from linear binary measurements. That is, the samples of the function are given by inner products with functions taking only the values 0 and 1.… Expand