The existence of solutions for nonlinear elliptic equations: Simple
  proofs and extensions of a paper by Y. Shi
A Kam Theorem for Space-Multidimensional Hamiltonian PDE
Multi-modal Dense Video Captioning Privacy and Utility Preserving Sensor-Data Transformations The structure of low-complexity Gibbs measures on product spaces Learning to Parallelize in a Shared-Memory Environment with Transformers The parafermion Fock space and explicit so(2n+1) representations Unbiased evaluation of ranking metrics reveals consistent performance in
  science and technology citation data Differentiable Neural Architecture Search with Morphism-based
  Transformable Backbone Architectures Tensors, Learning, and 'Kolmogorov Extension' for Finite-alphabet Random
  Vectors General Relativity and Gravitation: A Centennial Perspective Deep Learning and Quantum Entanglement: Fundamental Connections with
  Implications to Network Design Partial wave analysis at BES III harnessing the power of GPUs Continuous Data Assimilation For the 3D Ladyzhenskaya Model: Analysis
  and Computations Self-oscillation Construction of Machine Learned Force Fields with Quantum Chemical
  Accuracy: Applications and Chemical Insights Few simple rules to fix the dynamics of classical systems using
  operators Closed-form shock solutions
math.AP math.DS