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We study power boundedness and related properties such as mean ergodicity for (weighted) composition operators on function spaces defined by local properties. As a main application of our general approach we characterize when (weighted)…

Functional Analysis · Mathematics 2019-03-27 Thomas Kalmes

Understanding the macroscopic behavior of dynamical systems is an important tool to unravel transport mechanisms in complex flows. A decomposition of the state space into coherent sets is a popular way to reveal this essential macroscopic…

Dynamical Systems · Mathematics 2020-04-30 Gary Froyland , Péter Koltai , Martin Stahn

Simultaneous generation models write generation results while reading streaming inputs, necessitating a policy-maker to determine the appropriate output timing. Existing simultaneous generation methods generally adopt the traditional…

Computation and Language · Computer Science 2025-01-03 Shoutao Guo , Shaolei Zhang , Zhengrui Ma , Yang Feng

We derive necessary and sufficient conditions for local unitary (LU) operators to leave invariant the set of 1-qubit reduced density matrices of a multi-qubit state. LU operators with this property are tensor products of {\it cyclic local}…

Quantum Physics · Physics 2014-07-17 A. M. Martins

Expressive range analysis is a visualization-based technique used to evaluate the performance of generative models, particularly in game level generation. It typically employs two quantifiable metrics to position generated artifacts on a 2D…

Machine Learning · Computer Science 2025-04-09 Mahsa Bazzaz , Seth Cooper

Transformations involving only local operations assisted with classical communication are investigated for multipartite entangled pure states having tensor rank 2. All necessary and sufficient conditions for the possibility of…

Quantum Physics · Physics 2010-01-22 S. Turgut , Y. Gul , N. K. Pak

Variable-order Markov models generate sequences over a finite alphabet by conditioning each symbol on the longest available suffix of the generated history. Regular constraints, by contrast, describe finite-horizon control requirements by…

Artificial Intelligence · Computer Science 2026-05-11 François Pachet

Investigating a class of models that is familiar in studies of cellular automata, we find that quantum operators can be employed to describe their long distance behavior. These operators span a Hilbert space that appears to turn such a…

Quantum Physics · Physics 2009-08-25 Gerard 't Hooft

On a finite outcome space, the canonical Gibbs distribution is usually obtained by maximizing Shannon entropy at fixed mean of an externally supplied energy functional. This paper studies the finite-state consequences of a ratio-cost…

Statistical Mechanics · Physics 2026-05-18 Megan Simons , Jonathan Washburn

While generative adversarial networks (GAN) are popular for their higher sample quality as opposed to other generative models like the variational autoencoders (VAE) and Boltzmann machines, they suffer from the same difficulty of the…

Machine Learning · Computer Science 2021-12-17 Harshvardhan GM , Aanchal Sahu , Mahendra Kumar Gourisaria

Existing generator parameterization methods, typically developed for large turbine generator units, are difficult to apply to small kW-level diesel generators in microgrid applications. This paper presents a model parameterization method…

Systems and Control · Electrical Eng. & Systems 2020-09-28 Qian Long , Hui Yu , Fuhong Xie , Ning Lu , David Lubkeman

We present a novel framework for training large language models with continuously adjustable internal representations that span the full spectrum from localist (interpretable, rule-based) to distributed (generalizable, efficient) encodings.…

Machine Learning · Computer Science 2025-10-21 Joachim Diederich

We introduce the \emph{graphical reconfigurable circuits (GRC)} model as an abstraction for distributed graph algorithms whose communication scheme is based on local mechanisms that collectively construct long-range reconfigurable channels…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-21 Yuval Emek , Yuval Gil , Noga Harlev

We present a sample-based Learning Model Predictive Controller (LMPC) for constrained uncertain linear systems subject to bounded additive disturbances. The proposed controller builds on earlier work on LMPC for deterministic systems.…

Systems and Control · Computer Science 2021-01-22 Ugo Rosolia , Francesco Borrelli

We study finite-horizon continuous-time policy evaluation from discrete closed-loop trajectories under time-inhomogeneous dynamics. The target value surface solves a backward parabolic equation, but the Bellman baseline obtained from…

Machine Learning · Statistics 2026-05-11 Yaowei Zheng , Richong Zhang , Shenxi Wu , Shirui Bian , Haosong Zhang , Li Zeng , Xingjian Ma , Yichi Zhang

Current 3D tokenizers largely treat representation as spatial compression: compact codes reconstruct surface geometry, but leave component ownership and attachment validity implicit. In open-world assets with intersecting components, noisy…

Machine Learning · Computer Science 2026-05-12 Xiang Chen , Alexander Binder

Local Convertibility refers to the possibility of transforming a given state into a target one, just by means of LOCC with respect to a given bipartition of the system and it is possible if and only if all the Renyi-entropies of the initial…

Strongly Correlated Electrons · Physics 2022-08-15 Luigi Amico , Vladimir Korepin , Alioscia Hamma , Salvatore Marco Giampaolo , Fabio Franchini

Generative models hold great promise for accelerating material discovery but are often limited by their inflexible single-stage generative process in designing valid and diverse materials. To address this, we propose a two-stage generative…

Machine Learning · Computer Science 2026-03-05 Cong Liu , Chengyue Gong , Zhenyu Liu , Jiale Zhao , Yuxuan Zhang

Natural language generation (NLG) is a critical component in a spoken dialogue system. This paper presents a Recurrent Neural Network based Encoder-Decoder architecture, in which an LSTM-based decoder is introduced to select, aggregate…

Computation and Language · Computer Science 2017-08-16 Van-Khanh Tran , Le-Minh Nguyen

Disentangled Representation Learning aims to improve the explainability of deep learning methods by training a data encoder that identifies semantically meaningful latent variables in the data generation process. Nevertheless, there is no…

Machine Learning · Computer Science 2024-10-08 Ruoyu Wang , Lina Yao