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This paper proposes a novel Stochastic Split Linearized Bregman Iteration ($S^{2}$-LBI) algorithm to efficiently train the deep network. The $S^{2}$-LBI introduces an iterative regularization path with structural sparsity. Our $S^{2}$-LBI…

Machine Learning · Statistics 2019-04-25 Yanwei Fu , Donghao Li , Xinwei Sun , Shun Zhang , Yizhou Wang , Yuan Yao

The growing availability of large and complex datasets has increased interest in temporal stochastic processes that can capture stylized facts such as marginal skewness, non-Gaussian tails, long memory, and even non-Markovian dynamics.…

Machine Learning · Statistics 2025-10-09 Dan Leonte , Raphaël Huser , Almut E. D. Veraart

While backpropagation--reverse-mode automatic differentiation--has been extraordinarily successful in deep learning, it requires two passes (forward and backward) through the neural network and the storage of intermediate activations.…

Machine Learning · Computer Science 2025-11-06 Daniel Wang , Evan Markou , Dylan Campbell

Hybrid quantum optimization for vehicle routing faces a practical bottleneck: direct QUBO encodings of CVRP quickly exceed near-term qubit and gate budgets, while quantum evaluations are expensive, noise-limited, and sensitive to backend…

Quantum Physics · Physics 2026-04-27 Monit Sharma , Hoong Chuin Lau

In this paper, we address the problem of designing a distributed application meant to run both classical and asynchronous iterations. MPI libraries are very popular and widely used in the scientific community, however asynchronous iterative…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-01 Guillaume Gbikpi-Benissan , Frederic Magoules

The evolution of architectures, programming models, and algorithms is driving communication towards greater asynchrony and concurrency, usually in multithreaded environments. We present LCI, a communication library designed for efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-26 Jiakun Yan , Marc Snir

The scaling hypothesis motivates the expansion of models past trillions of parameters as a path towards better performance. Recent significant developments, such as GPT-3, have been driven by this conjecture. However, as models scale-up,…

Bayesian optimization is a powerful method for optimizing black-box functions with limited function evaluations. Recent works have shown that optimization in a latent space through deep generative models such as variational autoencoders…

Machine Learning · Computer Science 2023-11-21 Seunghun Lee , Jaewon Chu , Sihyeon Kim , Juyeon Ko , Hyunwoo J. Kim

Recent LLMs have hundreds of billions of parameters consuming vast resources. Furthermore, the so called "AI scaling law" for transformers suggests that the number of parameters must scale linearly with the size of the data. In response, we…

Computation and Language · Computer Science 2026-01-05 B. N. Kausik

Single-pixel imaging (SPI) is a novel, unconventional method that goes beyond the notion of traditional cameras but can be computationally expensive and slow for real-time applications. Deep learning has been proposed as an alternative…

Image and Video Processing · Electrical Eng. & Systems 2022-05-19 Ritz Ann Aguilar , Damian Dailisan

Reconstructing high-fidelity MR images from undersampled k-space data remains a challenging problem in MRI. While Mamba variants for vision tasks offer promising long-range modeling capabilities with linear-time complexity, their direct…

Image and Video Processing · Electrical Eng. & Systems 2026-05-05 Hongli Chen , Pengcheng Fang , Yuxia Chen , Yingxuan Ren , Jing Hao , Fangfang Tang , Xiaohao Cai , Shanshan Shan , Feng Liu

Complex problems, whether in math, logic, or planning, are solved by humans through a sequence of steps where the result of one step informs the next. In this work, we adopt the perspective that the reasoning power of Transformers is…

Machine Learning · Computer Science 2026-02-23 Mohan Tang , Sidi Lu

Multi-token generation has emerged as a promising paradigm for accelerating transformer-based large model inference. Recent efforts primarily explore diffusion Large Language Models (dLLMs) for parallel decoding to reduce inference latency.…

Computation and Language · Computer Science 2025-12-17 Lanxiang Hu , Siqi Kou , Yichao Fu , Samyam Rajbhandari , Tajana Rosing , Yuxiong He , Zhijie Deng , Hao Zhang

Fast data acquisition in Magnetic Resonance Imaging (MRI) is vastly in demand and scan time directly depends on the number of acquired k-space samples. Recently, the deep learning-based MRI reconstruction techniques were suggested to…

Computer Vision and Pattern Recognition · Computer Science 2019-03-20 Ali Pour Yazdanpanah , Onur Afacan , Simon K. Warfield

With the growth of neural network size, model compression has attracted increasing interest in recent research. As one of the most common techniques, pruning has been studied for a long time. By exploiting the structured sparsity of the…

Machine Learning · Computer Science 2023-04-12 Chengyu Xia , Danny H. K. Tsang , Vincent K. N. Lau

(Abridged) The CASA software suite, can now reduce very long baseline interferometry (VLBI) data with the recent addition of a fringe fitter. Here, we present the Radboud PIpeline for the Calibration of high Angular Resolution Data…

Pre-training large language models (LLMs) increasingly requires distributed compute, yet bandwidth constraints make it difficult to scale beyond well-provisioned datacenters-especially when model parallelism forces frequent, large…

Machine Learning · Computer Science 2026-01-06 Yazan Obeidi , Amir Sarfi , Joel Lidin , Paul Janson , Eugene Belilovsky

Large Language Models (LLMs) have pushed the frontier of artificial intelligence but are comprised of hundreds of billions of parameters and operations. For faster inference latency, LLMs are deployed on multiple hardware accelerators…

Machine Learning · Computer Science 2026-01-07 Jan Hansen-Palmus , Michael Truong Le , Oliver Hausdörfer , Alok Verma

Training a deep neural network with the outputs of selected layers satisfying linear constraints is required in many contemporary data-driven applications. While this can be achieved by incorporating projection layers into the neural…

Optimization and Control · Mathematics 2026-05-13 Zonglin Yang , Zhexuan Gu , Yancheng Yuan

Handling communication overhead in large-scale tensor-parallel training remains a critical challenge due to the dense, near-zero distributions of intermediate tensors, which exacerbate errors under frequent communication and introduce…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-28 Man Liu , Xingchen Liu , Xingjian Tian , Bing Lu , Shengkay Lyu , Shengquan Yin , Wenjing Huang , Zheng Wei , Hairui Zhao , Guangming Tan , Dingwen Tao
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