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The most popular method for computing the matrix logarithm is a combination of the inverse scaling and squaring method in conjunction with a Pad\'e approximation, sometimes accompanied by the Schur decomposition. The main computational…

Numerical Analysis · Mathematics 2024-01-19 Elias Jarlebring , Jorge Sastre , J. Javier Ibáñez González

In this paper we are interested in the problem of adaptive synchronization of a voltage source converter with a possibly weak grid with unknown angle and frequency, but knowledge of its parameters. To guarantee a suitable synchronization…

Systems and Control · Electrical Eng. & Systems 2022-01-17 Daniele Zonetti , Alexey Bobtsov , Romeo Ortega , Nikolay Nikolaev , Oriol Gomis-Bellmunt

Numeric modeling of electromagnetics and acoustics frequently entails matrix-vector multiplication with block Toeplitz structure. When the corresponding block Toeplitz matrix is not highly sparse, e.g. when considering the electromagnetic…

Numerical Analysis · Mathematics 2024-06-27 Alexandre Siron , Sean Molesky

The partial reuse algebraic multigrid (AMG) setup cost amortization strategy is presented for the solution of non-steady state problems. The transfer operators are reused from the previous time steps, and the system matrices and the…

Mathematical Software · Computer Science 2021-08-05 D. E. Demidov

Analog error correction codes, by relaxing the source space and the codeword space from discrete fields to continuous fields, present a generalization of digital codes. While linear codes are sufficient for digital codes, they are not for…

Information Theory · Computer Science 2013-06-05 Jing Li , Kai Xie

Transformer-based pre-trained models with millions of parameters require large storage. Recent approaches tackle this shortcoming by training adapters, but these approaches still require a relatively large number of parameters. In this…

Computation and Language · Computer Science 2023-01-31 Chin-Lun Fu , Zih-Ching Chen , Yun-Ru Lee , Hung-yi Lee

Neural network architecture design requires making many crucial decisions. The common desiderata is that similar decisions, with little modifications, can be reused in a variety of tasks and applications. To satisfy that, architectures must…

Computer Vision and Pattern Recognition · Computer Science 2024-11-08 Anil Kag , Huseyin Coskun , Jierun Chen , Junli Cao , Willi Menapace , Aliaksandr Siarohin , Sergey Tulyakov , Jian Ren

Sequence models face a fundamental tradeoff between memory capacity and computational efficiency. Transformers achieve expressive context modeling at quadratic cost, while linear attention and state-space models run in linear time by…

Machine Learning · Computer Science 2026-05-11 Yaxita Amin , Helen Zichen Li , Mengfan Zhang , Samet Ayhan

Analyzing database access logs is a key part of performance tuning, intrusion detection, benchmark development, and many other database administration tasks. Unfortunately, it is common for production databases to deal with millions or even…

Databases · Computer Science 2018-10-02 Ting Xie , Oliver Kennedy , Varun Chandola

Federated learning (FL) enables workers to learn a model collaboratively by using their local data, with the help of a parameter server (PS) for global model aggregation. The high communication cost for periodic model updates and the…

Information Theory · Computer Science 2019-11-04 Yuxuan Sun , Sheng Zhou , Deniz Gündüz

A key distinguishing feature of single flux quantum (SFQ) circuits is that each logic gate is clocked. This feature forces the introduction of path-balancing flip-flops to ensure proper synchronization of inputs at each gate. This paper…

Emerging Technologies · Computer Science 2024-01-15 Robert S. Aviles , Xi Li , Lei Lu , Zhaorui Ni , Peter A. Beerel

The attention mechanism in Transformers is an important primitive for accurate and scalable sequence modeling. Its quadratic-compute and linear-memory complexity however remain significant bottlenecks. Linear attention and state-space…

Machine Learning · Computer Science 2026-03-03 Han Guo , Songlin Yang , Tarushii Goel , Eric P. Xing , Tri Dao , Yoon Kim

State-of-the-art sequential reasoning in Large Language Models (LLMs) has expanded the capabilities of Copilots beyond conversational tasks to complex function calling, managing thousands of API calls. However, the tendency of compositional…

Programming Languages · Computer Science 2024-05-29 Simranjit Singh , Andreas Karatzas , Michael Fore , Iraklis Anagnostopoulos , Dimitrios Stamoulis

Layout-Aware Data Scheduler (LADS) data transfer tool, identifies and addresses the issues that lead to congestion on the path of an end-to-end data transfer in the terabit network environments. It exploits the underlying storage layout at…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-05 Preethika Kasu , Taeuk Kim , Youngjae Kim , Jung-Ho Um , Kyongseok Park , Scott Atchley

Informing Additive Manufacturing (AM) technology adoption decisions, this paper investigates the relationship between build volume capacity utilisation and efficient technology operation in an inter-process comparison of the costs of…

Economics · Quantitative Finance 2017-06-08 Martin Baumers , Luca Beltrametti , Angelo Gasparre , Richard Hague

Even for simple arithmetic tasks like integer addition, it is challenging for Transformers to generalize to longer sequences than those encountered during training. To tackle this problem, we propose position coupling, a simple yet…

Machine Learning · Computer Science 2024-10-31 Hanseul Cho , Jaeyoung Cha , Pranjal Awasthi , Srinadh Bhojanapalli , Anupam Gupta , Chulhee Yun

Loop transformations are semantics-preserving optimization techniques, widely used to maximize objectives such as parallelism. Despite decades of research, applying the optimal composition of loop transformations remains challenging due to…

Programming Languages · Computer Science 2025-12-19 Yijie Zhi , Yayu Cao , Jianhua Dai , Xiaoyang Han , Jingwen Pu , Qingran Wu , Sheng Cheng , Ming Cai

The high computational complexity associated with training deep neural networks limits online and real-time training on edge devices. This paper proposed an end-to-end training and inference scheme that eliminates multiplications by…

Machine Learning · Computer Science 2026-05-05 Arnab Sanyal , Peter A. Beerel , Keith M. Chugg

In this short review, I draw attention to new developments in the theory of fault tolerance in quantum computation that may give concrete direction to future work in the development of superconducting qubit systems. The basics of quantum…

Quantum Physics · Physics 2015-05-13 David P. DiVincenzo

Large Language Models (LLMs) have shown immense potential in enhancing various aspects of our daily lives, from conversational AI to search and AI assistants. However, their growing capabilities come at the cost of extremely large model…

Machine Learning · Computer Science 2025-02-27 Yingyu Liang , Jiangxuan Long , Zhenmei Shi , Zhao Song , Yufa Zhou