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SGD on Neural Networks Learns Functions of Increasing Complexity

Neural Information Processing Systems

Neural networks have been extremely successful in modern machine learning, achieving the state-of-the-art inawiderangeofdomains, including image-recognition, speech-recognition, andgame-playing [ 14, 18, 23, 37]. Practitioners often train deep neural networks with hundreds of layers and millions of parameters and manage to find networks with good out-of-sample performance.However, this practical prowess isaccompanied by feeble theoreticalunderstanding.


Feature learning via mean-field Langevin dynamics: classifying sparse parities and beyond Taiji Suzuki 1,2, Denny Wu

Neural Information Processing Systems

Langevin dynamics (MFLD) (Mei et al., 2018; Hu et al., 2019) is particularly attractive due to the MFLD arises from a noisy gradient descent update on the parameters, where Gaussian noise is injected to the gradient to encourage "exploration". Furthermore, uniform-in-time estimates of the particle discretization error have also been established (Suzuki et al., The goal of this work is to address the following question.


World's fastest humanoid robot runs 22 MPH

FOX News

Chinese robotics firm MirrorMe Technology unveiled Bolt, a 5-foot-7-inch humanoid robot that outran founder Wang Hongtao at 22 mph using advanced balance control.




ALS stole this musician's voice. AI let him sing again.

MIT Technology Review

ALS stole this musician's voice. AI let him sing again. Patrick Darling used a music tool from ElevenLabs to perform a song with his former bandmates. There are tears in the audience as Patrick Darling's song begins to play. It's a heartfelt song written for his great-grandfather, whom he never got the chance to meet. But this performance is emotional for another reason: It's Darling's first time on stage with his bandmates since he lost the ability to sing two years ago.