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We define a new class of set functions that in addition to being monotone and subadditive, also admit a very limited form of submodularity defined over a permutation of the ground set. We refer to this permutation as a submodular order.…

最优化与控制 · 数学 2024-03-01 Rajan Udwani

In recent years, 2D Convolutional Networks-based video action recognition has encouragingly gained wide popularity; However, constrained by the lack of long-range non-linear temporal relation modeling and reverse motion information…

计算机视觉与模式识别 · 计算机科学 2021-12-20 Yongkang Zhang , Jun Li , Guoming Wu , Han Zhang , Zhiping Shi , Zhaoxun Liu , Zizhang Wu

The dynamics of many nanoscale biological and synthetic systems such as enzymes and molecular motors are activated by thermal noise, and driven out-of-equilibrium by local energy dissipation. Because the energies dissipated in these systems…

统计力学 · 物理学 2025-05-27 Michalis Chatzittofi , Ramin Golestanian , Jaime Agudo-Canalejo

By introducing the self-energy density functionals for the dissipative interactions between the reduced system and its environment, we develop a time-dependent density-functional theory formalism based on an equation of motion for the…

量子物理 · 物理学 2009-11-13 Xiao Zheng , Fan Wang , Chi Yung Yam , Yan Mo , GuanHua Chen

Irregularly sampled time series forecasting, characterized by non-uniform intervals, is prevalent in practical applications. However, previous research have been focused on regular time series forecasting, typically relying on transformer…

机器学习 · 计算机科学 2024-10-01 Byunghyun Kim , Jae-Gil Lee

This paper introduces a couple of new time-frequency transforms, designed to adapt their scale to specific features of the analyzed function. Such an adaptation is implemented via so-called focus functions, which control the window scale as…

经典分析与常微分方程 · 数学 2024-06-19 Pierre Warion , Bruno Torrésani

Current time series foundation models (TSFMs) primarily focus on learning prevalent and regular patterns within a predefined time or frequency domain to enable supervised downstream tasks (e.g., forecasting). Consequently, they are often…

机器学习 · 计算机科学 2026-02-24 Hui He , Hezhe Qiao , Yutong Chen , Kun Yi , Guansong Pang

The control properties of discrete-time switched linear systems (SLS) with switching signals generated by logical dynamic systems are studied using the semi-tensor product (STP) approach. With the algebraic state space representation…

系统与控制 · 电气工程与系统科学 2024-01-08 Xiao Zhang , Min Meng , Zhengping Ji

For a stationary sequence of random variables we derive a self-normalized functional limit theorem under joint regular variation with index $\alpha \in (0,2)$ and weak dependence conditions. The convergence takes place in the space of…

概率论 · 数学 2026-05-12 Danijel Krizmanic

Continual offline reinforcement learning (CORL) aims to learn a sequence of tasks from datasets collected over time while preserving performance on previously learned tasks. This setting corresponds to domains where new tasks arise over…

机器学习 · 计算机科学 2026-04-29 Dominik Żurek , Kamil Faber , Marcin Pietron , Paweł Gajewski , Roberto Corizzo

Pooling methods are necessities for modern neural networks for increasing receptive fields and lowering down computational costs. However, commonly used hand-crafted pooling approaches, e.g., max pooling and average pooling, may not well…

计算机视觉与模式识别 · 计算机科学 2022-07-19 Lianyu Hu , Liqing Gao , Zekang Liu , Wei Feng

The extension of the master stability function (MSF) to analyze stability of generalized synchronization for coupled nearly identical oscillators is discussed. The nearly identical nature of the coupled oscillators comes from some parameter…

混沌动力学 · 物理学 2015-06-22 Suman Acharyya , R. E. Amritkar

The literature on time series of functional data has focused on processes of which the probabilistic law is either constant over time or constant up to its second-order structure. Especially for long stretches of data it is desirable to be…

统计方法学 · 统计学 2020-07-21 Anne van Delft , Michael Eichler

This paper introduces a novel concept of local synchronization of power systems devices based on the difference between the complex frequency of the voltage and current injected at terminals. Formal definitions are provided to account for…

系统与控制 · 电气工程与系统科学 2024-11-13 Ignacio Ponce , Federico Milano

We extend the theory of spectral submanifolds (SSMs) to general non-autonomous dynamical systems that are either weakly forced or slowly varying. Examples of such systems arise in structural dynamics, fluid-structure interactions and…

动力系统 · 数学 2024-04-09 George Haller , Roshan S. Kaundinya

This paper proposes a method to optimize tokenization for the performance improvement of already trained downstream models. Our method generates tokenization results attaining lower loss values of a given downstream model on the training…

计算与语言 · 计算机科学 2023-04-24 Tatsuya Hiraoka , Tomoya Iwakura

This paper argues that the judicial use of formal language theory and grammatical inference are invaluable tools in understanding how deep neural networks can and cannot represent and learn long-term dependencies in temporal sequences.…

计算与语言 · 计算机科学 2017-10-17 Enes Avcu , Chihiro Shibata , Jeffrey Heinz

Stochastic computing (SC) has emerged as an efficient low-power alternative for deploying neural networks (NNs) in resource-limited scenarios, such as the Internet of Things (IoT). By encoding values as serial bitstreams, SC significantly…

机器学习 · 计算机科学 2025-08-14 Ziheng Wang , Pedro Reviriego , Farzad Niknia , Zhen Gao , Javier Conde , Shanshan Liu , Fabrizio Lombardi

We propose a method for estimating more reproducible functional networks that are more strongly associated with dynamic task activity by using recurrent neural networks with long short term memory (LSTMs). The LSTM model is trained in an…

定量方法 · 定量生物学 2021-05-07 Nicha C. Dvornek , Pamela Ventola , James S. Duncan

Signal Temporal Logic (STL) is an expressive formal language for specifying spatio-temporal requirements over real-valued, real-time signals. It has been widely used for the verification and synthesis of autonomous systems and…

人工智能 · 计算机科学 2026-05-12 Bowen Ye , Zhijian Li , Junyue Huang , Junkai Ma , Xiang Yin