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Renormalization group (RG) methods, which model the way in which the effective behavior of a system depends on the scale at which it is observed, are key to modern condensed-matter theory and particle physics. We compare the ideas behind…

量子物理 · 物理学 2013-03-14 Cédric Bény

Current agentic frameworks underperform on long-horizon tasks. As reasoning depth increases, sequential orchestration becomes brittle, context windows impose hard limits that degrade performance, and opaque execution traces make failures…

人工智能 · 计算机科学 2026-02-17 Salaheddin Alzu'bi , Baran Nama , Arda Kaz , Anushri Eswaran , Weiyuan Chen , Sarvesh Khetan , Rishab Bala , Tu Vu , Sewoong Oh

The renormalization group has proven to be a very powerful tool in physics for treating systems with many length scales. Here we show how it can be adapted to provide a new class of algorithms for discrete optimization. The heart of our…

无序系统与神经网络 · 物理学 2009-10-31 J. Houdayer , O. C. Martin

We introduce a class of variational states to describe quantum many-body systems. This class generalizes matrix product states which underly the density-matrix renormalization group approach by combining them with weighted graph states.…

量子物理 · 物理学 2009-11-13 R. Hübener , C. Kruszynska , L. Hartmann , W. Dür , F. Verstraete , J. Eisert , M. B. Plenio

Mediation analysis for complex, non-Euclidean data, such as probability distributions, compositions, images, and networks, presents significant methodological challenges due to the inherent nonlinearity and geometric constraints of such…

统计方法学 · 统计学 2026-04-01 Wenxi Tan , Bing Li , Lingzhou Xue

Solving long sequential tasks poses a significant challenge in embodied artificial intelligence. Enabling a robotic system to perform diverse sequential tasks with a broad range of manipulation skills is an active area of research. In this…

机器人学 · 计算机科学 2025-11-03 Eleftherios Triantafyllidis , Fernando Acero , Zhaocheng Liu , Zhibin Li

Suitable reduced order models (ROMs) are computationally efficient tools in characterizing key dynamical and statistical features of nature. In this paper, a systematic multiscale stochastic ROM framework is developed for complex systems…

计算物理 · 物理学 2022-03-23 Changhong Mou , Nan Chen , Traian Iliescu

Physical systems differring in their microscopic details often display strikingly similar behaviour when probed at macroscopic scales. Those universal properties, largely determining their physical characteristics, are revealed by the…

无序系统与神经网络 · 物理学 2018-09-26 Maciej Koch-Janusz , Zohar Ringel

Purpose: This work aims at developing a generalizable MRI reconstruction model in the meta-learning framework. The standard benchmarks in meta-learning are challenged by learning on diverse task distributions. The proposed network learns…

计算机视觉与模式识别 · 计算机科学 2021-10-05 Wanyu Bian , Yunmei Chen , Xiaojing Ye , Qingchao Zhang

We investigate an operator renormalization group method to extract and describe the relevant degrees of freedom in the evolution of partial differential equations. The proposed renormalization group approach is formulated as an analytical…

统计力学 · 物理学 2007-05-23 Andreas Degenhard , Javier Rodriguez-Laguna

Time-dependent partial differential equations are ubiquitous in physics-based modeling, but they remain computationally intensive in many-query scenarios, such as real-time forecasting, optimal control, and uncertainty quantification.…

机器学习 · 计算机科学 2026-01-26 Sven Dummer , Dongwei Ye , Christoph Brune

Understanding the collective behavior of a quantum many-body system, a system composed of a large number of interacting microscopic degrees of freedom, is a key aspect in many areas of contemporary physics. However, as a direct consequence…

量子物理 · 物理学 2011-09-27 Glen Evenbly

Recent advances in self-supervised learning for Vision Transformers (ViTs) have fueled breakthroughs in remote sensing (RS) foundation models. However, the quadratic complexity of self-attention poses a significant barrier to scalability,…

计算机视觉与模式识别 · 计算机科学 2025-11-05 Fengxiang Wang , Yulin Wang , Mingshuo Chen , Haiyan Zhao , Yangang Sun , Shuo Wang , Hongzhen Wang , Di Wang , Long Lan , Wenjing Yang , Jing Zhang

The quadratic computational complexity of MultiHead SelfAttention (MHSA) remains a fundamental bottleneck in scaling Large Language Models (LLMs) for longcontext tasks. While sparse and linearized attention mechanisms attempt to mitigate…

计算与语言 · 计算机科学 2025-12-19 Caner Erden

In recent years, the Adaptive Antoulas-Anderson AAA algorithm has established itself as the method of choice for solving rational approximation problems. Data-driven Model Order Reduction (MOR) of large-scale Linear Time-Invariant (LTI)…

数值分析 · 数学 2024-01-19 Tommaso Bradde , Stefano Grivet-Talocia , Quirin Aumann , Ion Victor Gosea

We develop renormalization group methods for solving partial and stochastic differential equations on coarse meshes. Renormalization group transformations are used to calculate the precise effect of small scale dynamics on the dynamics at…

统计力学 · 物理学 2009-10-31 Qing Hou , Nigel Goldenfeld , Alan McKane

The renormalization group (RG) is an essential technique in statistical physics and quantum field theory, which considers scale-invariant properties of physical theories and how these theories' parameters change with scaling. Deep learning…

统计力学 · 物理学 2023-08-23 Kelsie Taylor

Vision-Language-Action (VLA) models excel in static manipulation but struggle in dynamic environments with moving targets. This performance gap primarily stems from a scarcity of dynamic manipulation datasets and the reliance of mainstream…

计算机视觉与模式识别 · 计算机科学 2026-04-16 Heng Fang , Shangru Li , Shuhan Wang , Xuanyang Xi , Dingkang Liang , Xiang Bai

This work develops an active learning framework to intelligently enrich data-driven reduced-order models (ROMs) of parametric dynamical systems, which can serve as the foundation of virtual assets in a digital twin. Data-driven ROMs are…

机器学习 · 统计学 2026-01-05 Shane A. McQuarrie , Mengwu Guo , Anirban Chaudhuri

While Vision-Language-Action (VLA) models show strong promise for generalist robot control, it remains unclear whether -- and under what conditions -- the standard "scale data" recipe translates to robotics, where training data is…

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