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Johannes Schmidt-Hieber - Mathematics for Deep Neural Networks: Advantages of Additional Layers (Lecture 3/5)

Why are deep networks better than shallow networks? We provide a survey of the existing ideas in the literature. In particular, we discuss localization of deep networks, functions that can be easily…

From  Kathryn Gentilello An hour ago 0 views 0  

Johannes Schmidt-Hieber - Mathematics for Deep Neural Networks : Theory for shallow networks (Lecture 2/5)

We start with the universal approximation theorem and discuss several proof strategies that provide some insights into functions that can be easily approximated by shallow networks. Based on this, a…

From  Kathryn Gentilello 5 Days ago 2 views 0  

Johannes Schmidt-Hieber - Mathematics for Deep Neural Networks (Lecture 1/5)

Lecture 1) Survey on neural network structures and deep learning There are many different types of neural networks that differ in complexity and the data types that can be processed. This lecture…

From  Kathryn Gentilello A week ago 9 views 0  

Bill Moggridge - It's getting so complicated

Bill Moggridge is the co-founder of IDEO, an internationally recognized design firm. He has designed the first laptop computer, the GRiD Compass, and pioneered Interaction Design as a discipline.…

From  Kathryn Gentilello 3 Months ago 3 views 0  

Michael Mitzenmacher - Bloom Filters, Cuckoo Hashing, Cuckoo Filters, Adaptive Cuckoo Filters, and Learned Bloom Filters

I will go over some of my past and present work on hashing-based data structures. After presenting some background on Bloom filters and cuckoo hashing, we will describe cuckoo filters, an efficient…

From  Kathryn Gentilello 3 Months ago 13 views 0  

Gabor Lugosi - Mean Estimation: Median-of-Means Tournaments

In these lectures we discuss some statistical problems with an interesting combinatorial structure behind. We start by reviewing the "hidden clique" problem, a simple prototypical example…

From  Kathryn Gentilello 4 Months ago 4 views 0  

Gabor Lugosi - Combinatorial Testing Problems

In these lectures we discuss some statistical problems with an interesting combinatorial structure behind. We start by reviewing the "hidden clique" problem, a simple prototypical example…

From  Kathryn Gentilello 4 Months ago 16 views 0  

Mary Wootters - Improved Decoding of Folded Reed-Solomon and Multiplicity Codes

List-decoding is an important primitive in the theory of error correcting codes, and it has long been a goal to obtain explicit constructions of capacity-achieving, efficiently list-decodable codes. …

From  Kathryn Gentilello 5 Months ago 17 views 0  

Sara van de Geer - The Debiased Lasso

In the third lecture we use sparsity to establish confidence intervals for a parameter of interest. The idea is to use the penalized estimator as an initial estimator in a one-step Newton-Raphson…

From  Kathryn Gentilello 6 Months ago 49 views 0  

Sara van de Geer - Compatibility and the Lasso

We will see in the first lecture that one needs conditions which relate the penalty to the risk function. They have in a certain sense to be “compatible”. We discuss these compatibility…

From  Kathryn Gentilello 6 Months ago 60 views 0