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Transformer models rely heavily on the scaled dot-product attention (SDPA) operation, typically implemented as FlashAttention. Characterized by its frequent interleaving of matrix multiplications and softmax operations, FlashAttention fails…

硬件体系结构 · 计算机科学 2025-12-09 Jiawei Lin , Yuanlong Li , Guokai Chen , Thomas Bourgeat

This research introduces an improved framework for constructing matrix product operators (MPOs) and tree tensor network operators (TTNOs), crucial tools in quantum simulations. A given (Hamiltonian) operator typically has a known symbolic…

量子物理 · 物理学 2025-07-04 Hazar Çakır , Richard M. Milbradt , Christian B. Mendl

Continuous Descent Operations (CDO) involve smooth, idle-thrust descents that avoid level-offs, reducing fuel burn, emissions, and noise while improving efficiency and passenger comfort. Despite its operational and environmental benefits,…

The Tensor-Train (TT) format is a highly compact low-rank representation for high-dimensional tensors. TT is particularly useful when representing approximations to the solutions of certain types of parametrized partial differential…

This study, for the first time, investigates the use of tensor trains (TTs) to represent high-dimensional unsteady flamelet progress variable (UFPV) manifolds in chemically reacting computational fluid dynamics (CFD). The UFPV framework…

Time-Delay Interferometry (TDI) is the data processing technique that cancels the large laser phase fluctuations affecting the one-way Doppler measurements made by unequal-arm space-based gravitational wave interferometers. By taking finite…

广义相对论与量子宇宙学 · 物理学 2021-08-25 Massimo Tinto , Sanjeev Dhurandhar , Prasanna Joshi

Accurate estimation of DL CSI is required to achieve high spectrum and energy efficiency in massive MIMO systems. Previous works have developed learning-based CSI feedback framework within FDD systems for efficient CSI encoding and recovery…

信息论 · 计算机科学 2022-01-11 Yu-Chien Lin , Ta-Sung Lee , Zhi Ding

Greedy-GQ with linear function approximation, originally proposed in \cite{maei2010toward}, is a value-based off-policy algorithm for optimal control in reinforcement learning, and it has a non-linear two timescale structure with the…

机器学习 · 计算机科学 2024-05-03 Yue Wang , Yi Zhou , Shaofeng Zou

Secure multi-party computation (MPC) offers a practical foundation for privacy-preserving machine learning at the edge. However, current MPC systems rely heavily on communication and computation-intensive primitives-such as secure…

硬件体系结构 · 计算机科学 2026-03-27 Zhuoran Li , Hanieh Totonchi Asl , Yifei Cai , Ebrahim Nouri , Danella Zhao

Markov games and robust MDPs are closely related models that involve computing a pair of saddle point policies. As part of the long-standing effort to develop efficient algorithms for these models, the Filar-Tolwinski (FT) algorithm has…

计算机科学与博弈论 · 计算机科学 2025-11-18 Keith Badger , Jefferson Huang , Marek Petrik

We consider a certain fluid-structure interaction (FSI) system with a view of obtaining an alternative methodology for establishing its strongly continuous semigroup wellposedness. (Semigroup generation for this FSI was originally…

偏微分方程分析 · 数学 2025-09-04 George Avalos , Pelin G. Geredeli , Hemanta Kunwar , Hyesuk Lee

Tensor ring (TR) decomposition has recently received increased attention due to its superior expressive performance for high-order tensors. However, the applicability of traditional TR decomposition algorithms to real-world applications is…

机器学习 · 计算机科学 2023-05-17 Yicong He , George K. Atia

We introduce the TTStack sketch, a structured random projection tailored to the tensor train (TT) format that unifies existing TT-adapted sketching operators. By varying two integer parameters $P$ and $R$, TTStack interpolates between the…

数值分析 · 数学 2026-03-16 Paul Cazeaux , Mi-Song Dupuy , Rodrigo Figueroa Justiniano

Interpretability of learning algorithms is crucial for applications involving critical decisions, and variable importance is one of the main interpretation tools. Shapley effects are now widely used to interpret both tree ensembles and…

机器学习 · 统计学 2022-02-03 Clément Bénard , Gérard Biau , Sébastien da Veiga , Erwan Scornet

Tensor train (TT) format is a common approach for computationally efficient work with multidimensional arrays, vectors, matrices, and discretized functions in a wide range of applications, including computational mathematics and machine…

数值分析 · 数学 2022-09-30 Andrei Chertkov , Gleb Ryzhakov , Georgii Novikov , Ivan Oseledets

The field of time series forecasting has garnered significant attention in recent years, prompting the development of advanced models like TimeSieve, which demonstrates impressive performance. However, an analysis reveals certain…

机器学习 · 计算机科学 2025-03-31 Songning Lai , Ninghui Feng , Haochen Sui , Ze Ma , Hao Wang , Zichen Song , Hang Zhao , Yutao Yue

In off-policy policy evaluation (OPE) tasks within reinforcement learning, Temporal Difference Learning(TD) and Fitted Q-Iteration (FQI) have traditionally been viewed as differing in the number of updates toward the target value function:…

机器学习 · 计算机科学 2025-12-02 Zechen Wu , Amy Greenwald , Ronald Parr

Recently, introducing Tensor Decomposition (TD) techniques into unsupervised feature selection (UFS) has been an emerging research topic. A tensor structure is beneficial for mining the relations between different modes and helps relieve…

机器学习 · 计算机科学 2025-07-04 Junjing Zheng , Xinyu Zhang , Weidong Jiang , Xiangfeng Qiu , Mingjian Ren

Tensor train (TT) decomposition represents an $N$-order tensor using $O(N)$ matrices (i.e., factors) of small dimensions, achieved through products among these factors. Due to its compact representation, TT decomposition has found wide…

最优化与控制 · 数学 2024-10-22 Zhen Qin , Zhihui Zhu

In this work, we develop a new algorithm to solve large-scale incompressible time-dependent fluid--structure interaction (FSI) problems using a matrix-free finite element method in arbitrary Lagrangian--Eulerian (ALE) frame of reference. We…