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In exploratory tensor mining, a common problem is how to analyze a set of variables across a set of subjects whose observations do not align naturally. For example, when modeling medical features across a set of patients, the number and…

Machine Learning · Computer Science 2017-03-14 Ioakeim Perros , Evangelos E. Papalexakis , Fei Wang , Richard Vuduc , Elizabeth Searles , Michael Thompson , Jimeng Sun

The tensor-train (TT) format is a data-sparse tensor representation commonly used in high dimensional function approximations arising from computational and data sciences. Various sequential and parallel TT decomposition algorithms have…

Numerical Analysis · Mathematics 2025-09-05 Tianyi Shi , Daniel Hayes , Jing-Mei Qiu

Sparse tensor algebra is challenging to efficiently parallelize due to the irregular, data-dependent, and potentially skewed structure of sparse computation. We propose the first partitioning algorithm that provably load balances the…

Programming Languages · Computer Science 2026-04-23 Atharva Chougule , Alexander J Root , Rubens Lacouture , Bobby Yan , Rohan Yadav , Fredrik Kjolstad

Time series data are prone to noise in various domains, and training samples may contain low-predictability patterns that deviate from the normal data distribution, leading to training instability or convergence to poor local minima.…

Machine Learning · Computer Science 2026-02-19 Xu Zhang , Peng Wang , Yichen Li , Wei Wang

In this paper, uniqueness properties of a coupled tensor model are studied. This new coupled tensor model is used in a new method called Partial Coupled Tensor Factorization of 3D marginals or PCTF3D. This method performs estimation of…

Signal Processing · Electrical Eng. & Systems 2025-09-08 Philippe Flores , Konstantin Usevich , David Brie

Non-negative Matrix Factorization (NMF) is a key kernel for unsupervised dimension reduction used in a wide range of applications, including topic modeling, recommender systems and bioinformatics. Due to the compute-intensive nature of…

Machine Learning · Computer Science 2019-04-18 Gordon E. Moon , Aravind Sukumaran-Rajam , Srinivasan Parthasarathy , P. Sadayappan

We present tensor and sequence parallelism (TSP), a parallel execution strategy that folds tensor parallelism and sequence parallelism onto a single device axis. In conventional multi-dimensional parallelism layouts, tensor parallelism (TP)…

Computation and Language · Computer Science 2026-04-30 Vasu Shyam , Anna Golubeva , Quentin Anthony

We present a new algorithm for probabilistic planning with no observability. Our algorithm, called Probabilistic-FF, extends the heuristic forward-search machinery of Conformant-FF to problems with probabilistic uncertainty about both the…

Artificial Intelligence · Computer Science 2011-11-02 C. Domshlak , J. Hoffmann

In this paper, we present a novel parallel dimension-independent node positioning algorithm that is capable of generating nodes with variable density, suitable for meshless numerical analysis. A very efficient sequential algorithm based on…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-04 Matjaž Depolli , Jure Slak , Gregor Kosec

Reliable estimates of Gross Primary Productivity (GPP), crucial for evaluating climate change initiatives, are currently only available from sparsely distributed eddy covariance tower sites. This limitation hampers access to reliable GPP…

Machine Learning · Computer Science 2023-06-27 Rumi Nakagawa , Mary Chau , John Calzaretta , Trevor Keenan , Puya Vahabi , Alberto Todeschini , Maoya Bassiouni , Yanghui Kang

Precise short-term price prediction in the highly volatile cryptocurrency market is critical for informed trading strategies. Although Temporal Fusion Transformers (TFTs) have shown potential, their direct use often struggles in the face of…

Statistical Finance · Quantitative Finance 2025-09-16 Arash Peik , Mohammad Ali Zare Chahooki , Amin Milani Fard , Mehdi Agha Sarram

In this paper, we present two multidimensional power flow formulations based on a fixed-point iteration (FPI) algorithm to efficiently solve hundreds of thousands of power flows in distribution systems. The presented algorithms are the base…

Systems and Control · Electrical Eng. & Systems 2024-03-08 Edgar Mauricio Salazar Duque , Juan S. Giraldo , Pedro P. Vergara , Phuong H. Nguyen , Han , Slootweg

Due to rapid data growth, statistical analysis of massive datasets often has to be carried out in a distributed fashion, either because several datasets stored in separate physical locations are all relevant to a given problem, or simply to…

Computation · Statistics 2016-02-08 Matthias Katzfuss , Dorit Hammerling

Parareal is a well-studied algorithm for numerically integrating systems of time-dependent differential equations by parallelising the temporal domain. Given approximate initial values at each temporal sub-interval, the algorithm locates a…

Numerical Analysis · Mathematics 2022-07-11 Kamran Pentland , Massimiliano Tamborrino , D. Samaddar , L. C. Appel

Researchers often have datasets measuring features $x_{ij}$ of samples, such as test scores of students. In factor analysis and PCA, these features are thought to be influenced by unobserved factors, such as skills. Can we determine how…

Statistics Theory · Mathematics 2019-09-16 Edgar Dobriban

Tensor factorization is a powerful tool to analyse multi-way data. Compared with traditional multi-linear methods, nonlinear tensor factorization models are capable of capturing more complex relationships in the data. However, they are…

Machine Learning · Computer Science 2016-05-24 Shandian Zhe , Kai Zhang , Pengyuan Wang , Kuang-chih Lee , Zenglin Xu , Yuan Qi , Zoubin Ghahramani

Large-scale proteomic analysis is emerging as a powerful technique in biology and relies heavily on data acquired by state-of-the-art mass spectrometers. As with any other field in Systems Biology, computational tools are required to deal…

Quantitative Methods · Quantitative Biology 2011-05-02 Fahad Saeed , Trairak Pisitkun , Mark A. Knepper , Jason D. Hoffert

We present the parallel particle filtering (PPF) software library, which enables hybrid shared-memory/distributed-memory parallelization of particle filtering (PF) algorithms combining the Message Passing Interface (MPI) with multithreading…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-07 Ömer Demirel , Ihor Smal , Wiro Niessen , Erik Meijering , Ivo F. Sbalzarini

With the emergence of the big data age, the issue of how to obtain valuable knowledge from a dataset efficiently and accurately has attracted increasingly attention from both academia and industry. This paper presents a Parallel Random…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-26 Jianguo Chen , Kenli Li , Zhuo Tang , Kashif Bilal , Shui Yu , Chuliang Weng , Keqin Li

Optimizing the parallel training of large models requires exploring intra-operator parallelism plans for a computation graph that typically contains tens of thousands of primitive operators. While the optimization of parallel data…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-08 Weifang Hu , Xuanhua Shi , Yunkai Zhang , Chang Wu , Xuan Peng , Jiaqi Zhai , Hai Jin , Xuehai Qian , Jingling Xue , Yongluan Zhou
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