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Monte Carlo-Type Neural Operator for Differential Equations

arXiv:2510.05620v1 Announce Type: cross Abstract: The Monte Carlo-type Neural Operator (MCNO) introduces a framework for learning solution operators of one-dimensional partial differential equations (PDEs) by directly learning the kernel function and approximating the associated integral operator using a Monte Carlo-type…

ESS-Flow: Training-free guidance of flow-based models as inference in source space

arXiv:2510.05849v1 Announce Type: cross Abstract: Guiding pretrained flow-based generative models for conditional generation or to produce samples with desired target properties enables solving diverse tasks without retraining on paired data. We present ESS-Flow, a gradient-free method that leverages the typically…

Gaussian Embeddings: How JEPAs Secretly Learn Your Data Density

arXiv:2510.05949v1 Announce Type: cross Abstract: Joint Embedding Predictive Architectures (JEPAs) learn representations able to solve numerous downstream tasks out-of-the-box. JEPAs combine two objectives: (i) a latent-space prediction term, i.e., the representation of a slightly perturbed sample must be predictable from…

AuToMATo: An Out-Of-The-Box Persistence-Based Clustering Algorithm

arXiv:2408.06958v3 Announce Type: replace-cross Abstract: We present AuToMATo, a novel clustering algorithm based on persistent homology. While AuToMATo is not parameter-free per se, we provide default choices for its parameters that make it into an out-of-the-box clustering algorithm that performs…

Anchors Aweigh! Sail for Optimal Unified Multi-Modal Representations

arXiv:2410.02086v3 Announce Type: replace-cross Abstract: A unified representation space in multi-modal learning is essential for effectively integrating diverse data sources, such as text, images, and audio, to enhance efficiency and performance across various downstream tasks. Recent binding methods, such as…