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Boosted Sparse and Low-Rank Tensor Regression

Neural Information Processing Systems

We propose a sparse and low-rank tensor regression model to relate a univariate outcome to a feature tensor, in which each unit-rank tensor from the CP decomposition of the coefficient tensor is assumed to be sparse.





The committee machine: Computational to statistical gaps in learning a two-layers neural network

Neural Information Processing Systems

Heuristic tools from statistical physics have been used in the past to locate the phase transitions and compute the optimal learning and generalization errors in the teacher-student scenario in multi-layer neural networks. In this contribution, we provide a rigorous justification of these approaches for a two-layers neural network model called the committee machine.




Natasha 2: Faster Non-Convex Optimization Than SGD

Neural Information Processing Systems

In diverse world of deep learning research has given rise to numerous architectures for neural networks (convolutional ones, long short term memory ones, etc). However, to this date, the underlying training algorithms for neural networks are still stochastic gradient descent (SGD) and its heuristic variants. In this paper, we address the problem of designing a new algorithm that has provably faster running time than the best known result for SGD.


German Christmas market opens nearly one year after deadly attack

FOX News

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