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20142026
most citedUniversal Approximation Theorems for Differentiable Geometric Deep Learning

11 citations · 26 across the 26 of their papers we have counts for

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Showing 2024Show all

7 papers · 1 filter

math.OC2024

Neural Operators Can Play Dynamic Stackelberg Games

Guillermo Alvarez, Ibrahim Ekren, Anastasis Kratsios +1

Dynamic Stackelberg games are a broad class of two-player games in which the leader acts first, and the follower chooses a response strategy to the leader's strategy. Unfortunately…

cs.LG2024

Scalable Message Passing Neural Networks: No Need for Attention in Large Graph Representation Learning

Haitz Sáez de Ocáriz Borde, Artem Lukoianov, Anastasis Kratsios +2

We propose Scalable Message Passing Neural Networks (SMPNNs) and demonstrate that, by integrating standard convolutional message passing into a Pre-Layer Normalization Transformer-…

cs.LG2024

A Comprehensive Analysis on the Learning Curve in Kernel Ridge Regression

Tin Sum Cheng, Aurelien Lucchi, Anastasis Kratsios +1

This paper conducts a comprehensive study of the learning curves of kernel ridge regression (KRR) under minimal assumptions. Our contributions are three-fold: 1) we analyze the rol…

cs.LG2024

Filtered not Mixed: Stochastic Filtering-Based Online Gating for Mixture of Large Language Models

Raeid Saqur, Anastasis Kratsios, Florian Krach +5

We propose MoE-F - a formalized mechanism for combining pre-trained Large Language Models (LLMs) for online time-series prediction by adaptively forecasting the best weighting…

cs.LG2024

Higher-Order Transformer Derivative Estimates for Explicit Pathwise Learning Guarantees

Yannick Limmer, Anastasis Kratsios, Xuwei Yang +2

An inherent challenge in computing fully-explicit generalization bounds for transformers involves obtaining covering number estimates for the given transformer class . Crude est…

cs.LG2024

Mixtures of Neural Operators Reduce Active Complexity in Operator Learning

Anastasis Kratsios, Takashi Furuya, Jose Antonio Lara Benitez +2

Operator-learning systems are not governed solely by total parameter count; for one query, the relevant bottleneck can be the model that must be loaded and evaluated. We study this…

cs.LG2024

Characterizing Overfitting in Kernel Ridgeless Regression Through the Eigenspectrum

Tin Sum Cheng, Aurelien Lucchi, Anastasis Kratsios +1

We derive new bounds for the condition number of kernel matrices, which we then use to enhance existing non-asymptotic test error bounds for kernel ridgeless regression (KRR) in th…