We also show that the network width alleviates these issues.

Neural Information Processing Systems http://nips.cc/

Equipped with the knowledge of sample difficulty, we further propose to use it for regularizing the prediction confidence.

At the heart of foundation models is the philosophy of "more is different", exemplified by the astonishing success in computer vision and natural language

Backdoor attack is a common threat to deep neural networks.

For training ResNet-50 on ImageNet, our 5-bit block Householder quantizer achieves only 0.5% validation accuracy loss relative to QA T, comparable to the existing INT8 baseline.

Deep neural networks are powerful tools to model observations over time with non-linear patterns. Despite the widespread useof neural networks in such settings, most theoretical developments of deep neural networks are under the assumption of independent observations, and theoretical results for temporally dependent observations are scarce. To bridge this gap, we study theoretical properties of deep neural networks on modeling non-linear time series data. Specifically, non-asymptotic bounds for prediction error of (sparse) feed-forward neural network with ReLU activation function is established under mixing-type assumptions. These assumptions are mild such that they include a wide range of time series models including auto-regressive models. Compared to independent observations, established convergence rates have additional logarithmic factors to compensate for additional complexity due to dependence among data points. The theoretical results are supported via various numerical simulation settings as well as an application to a macroeconomic data set.