output
19942026
most citedMesoNet: a Compact Facial Video Forgery Detection Network

1.8k citations

585 papers

math.PR2026

Energy decomposition by potential level

Nicolas Bouleau

In the first part we study excessive functions for a Markov process that are continuous semimartingales along the sample paths. The property then follows from the theory of local t…

cs.CG2026

Generalize cross-ratios in n-dimensional Plane-Based Geometric Algebra

Enzo Harquin, Stephane Breuils, Pascal Monasse +2

We develop a complete theory of projective cross-ratios in n-dimensional Plane-Based Geometric Algebra (PGA), R(n,0,1), covering geometric objects of every grade: finite and ideal…

cs.LG2026

Spatiotemporal System Forecasting with Irregular Time Steps via Masked Autoencoder

Kewei Zhu, Yanze Xin, Jinwei Hu +3

Predicting high-dimensional dynamical systems with irregular time steps presents significant challenges for current data-driven algorithms. These irregularities arise from missing…

math.OC2026

Adding Decision Problem Makes Information More Valuable

Michel de Lara

We consider decision-making under incomplete information about an unknown state of nature. We show that a decision problem yields a higher value of information than another, unifor…

math.AP2026

Exponential stability of the linearized viscous Saint-Venant equations using a quadratic Lyapunov function

Amaury Hayat, Nathan Lichtlé

In this work, we investigate the exponential stability of the viscous Saint-Venant equations by adding to the standard hyperbolic Saint-Venant equations a viscosity term coming fro…

cs.LG2026

Lagged backward-compatible physics-informed neural networks for unsaturated soil consolidation analysis

Dong Li, Shuai Huang, Yapeng Cao +3

This study develops a Lagged Backward-Compatible Physics-Informed Neural Network (LBC-PINN) for simulating and inverting one-dimensional unsaturated soil consolidation under long-t…