“The discrete period matrix admits the same canonical decomposition $Π= rac{1}{2} H + i T$ as in the smooth setting, where $H$ encodes the topological type and $T$ is purely imaginary.”

“The gradient expansion includes an unexpected zeroth order term depending on the differences between thermo-hydrodynamic fields at the decoupling and the initial hypersurface. This term encodes a memory of the initial state...”

“LSRE attains semantic risk detection accuracy comparable to a large VLM baseline, while providing substantially earlier hazard anticipation and maintaining low computational latency.”

“The paper presents the first construction of an NN-FT that encodes the full Virasoro symmetry of a 2d CFT.”

“The microstructure is characterized by a discrete topological index, which encodes both horizon structure and thermodynamic stability.”

“Chromatin viscoelasticity is an organized, epigenetically coupled property of the 3D genome.”

“AutoQuant encodes strict T+1 execution semantics and no-look-ahead funding alignment, runs Bayesian optimization under realistic costs, and applies a two-stage double-screening protocol.”

“The paper proposes qGAN-QAOA, a unified quantum-circuit workflow in which a pre-trained quantum generative adversarial network encodes the scenario distribution and QAOA optimizes first-stage decisions by minimizing the full two-stage objective, including expected recourse cost.”

“The paper argues that the coset graph $A \otimes G/\mathbb{Z}_2$ encodes not only the coset graph fusion algebra, but also boundary g-factors, defect g-factors, and relative symmetry resolved entanglement entropy.”

“Autoregressive video modeling encodes effective representations.”

“Our goal is to apply clustering over each class individually, which can allow to discover pseudo-labels that encodes a latent degree of similarity between images.”

“Clement's method encodes input-output pairs into a latent space, optimizes this representation with a search algorithm, and decodes outputs for new inputs.”