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PhysicsCorrect: A Training-Free Approach for Stable Neural PDE Simulations

arXiv:2507.02227v2 Announce Type: replace Abstract: Neural networks have emerged as powerful surrogates for solving partial differential equations (PDEs), offering significant computational speedups over traditional methods. However, these models suffer from a critical limitation: error accumulation during long-term rollouts, where small…

Generative Actor Critic

arXiv:2512.21527v1 Announce Type: new Abstract: Conventional Reinforcement Learning (RL) algorithms, typically focused on estimating or maximizing expected returns, face challenges when refining offline pretrained models with online experiences. This paper introduces Generative Actor Critic (GAC), a novel framework that decouples…

Deterministic Discrete Denoising

arXiv:2509.20896v2 Announce Type: replace Abstract: We propose a deterministic denoising algorithm for discrete-state diffusion models based on Markov chains. The generative reverse process is derandomized by introducing a variant of the herding algorithm with weakly chaotic dynamics, which induces deterministic…

Discovering Sparse Recovery Algorithms Using Neural Architecture Search

arXiv:2512.21563v1 Announce Type: new Abstract: The design of novel algorithms for solving inverse problems in signal processing is an incredibly difficult, heuristic-driven, and time-consuming task. In this short paper, we the idea of automated algorithm discovery in the signal processing…

Predictive Modeling of Flood-Prone Areas Using SAR and Environmental Variables

arXiv:2512.13710v2 Announce Type: replace Abstract: Flooding is one of the most destructive natural hazards worldwide, posing serious risks to ecosystems, infrastructure, and human livelihoods. This study combines Synthetic Aperture Radar (SAR) imagery with environmental and hydrological data to model flood…

Pre-training Vision Transformers with Formula-driven Supervised Learning

arXiv:2206.09132v2 Announce Type: replace-cross Abstract: In the present work, we show that the performance of formula-driven supervised learning (FDSL) can match or even exceed that of ImageNet-21k and can approach that of the JFT-300M dataset without the use of real…

RefineBridge: Generative Bridge Models Improve Financial Forecasting by Foundation Models

arXiv:2512.21572v1 Announce Type: new Abstract: Financial time series forecasting is particularly challenging for transformer-based time series foundation models (TSFMs) due to non-stationarity, heavy-tailed distributions, and high-frequency noise present in data. Low-rank adaptation (LoRA) has become a popular parameter-efficient method for…