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Boundary value problems involving elliptic PDEs such as the Laplace and the Helmholtz equations are ubiquitous in mathematical physics and engineering. Many such problems can be alternatively formulated as integral equations that are…

Numerical Analysis · Mathematics 2024-02-20 Tianyu Liang , Chao Chen , Per-Gunnar Martinsson , George Biros

The Forward-Forward (FF) algorithm presents a compelling, bio-inspired alternative to backpropagation. However, while efficient in training, it has a computationally prohibitive inference process that requires a separate forward pass for…

Machine Learning · Computer Science 2026-05-04 Shalini Sarode , Brian Moser , Joachim Folz , Federico Raue , Tobias Nauen , Stanislav Frolov , Andreas Dengel

Iterative approximation methods using backpropagation enable the optimization of neural networks, but they remain computationally expensive, especially when used at scale. This paper presents an efficient alternative for optimizing neural…

Machine Learning · Computer Science 2023-11-14 Jake Ryland Williams , Haoran Zhao

We present Locality-aware Parallel Decoding (LPD) to accelerate autoregressive image generation. Traditional autoregressive image generation relies on next-patch prediction, a memory-bound process that leads to high latency. Existing works…

Computer Vision and Pattern Recognition · Computer Science 2026-03-12 Zhuoyang Zhang , Luke J. Huang , Chengyue Wu , Shang Yang , Kelly Peng , Yao Lu , Song Han

We propose a decomposition framework for the parallel optimization of the sum of a differentiable function and a (block) separable nonsmooth, convex one. The latter term is typically used to enforce structure in the solution as, for…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-12 Francisco Facchinei , Simone Sagratella , Gesualdo Scutari

Backpropagation algorithm has been widely used as a mainstream learning procedure for neural networks in the past decade, and has played a significant role in the development of deep learning. However, there exist some limitations…

Computer Vision and Pattern Recognition · Computer Science 2023-12-12 Gongpei Zhao , Tao Wang , Yidong Li , Yi Jin , Congyan Lang , Haibin Ling

Solving complex optimization problems in engineering and the physical sciences requires repetitive computation of multi-dimensional function derivatives. Commonly, this requires computationally-demanding numerical differentiation such as…

Numerical Analysis · Mathematics 2021-05-12 Danny Smyl , Tyler N. Tallman , Dong Liu , Andreas Hauptmann

Learning a sequence of tasks without access to i.i.d. observations is a widely studied form of continual learning (CL) that remains challenging. In principle, Bayesian learning directly applies to this setting, since recursive and one-off…

The prefill stage of large language model (LLM) inference is a key computational bottleneck for long-context workloads. At short-to-moderate context lengths (1K--16K tokens), Feed-Forward Networks (FFNs) dominate this cost, accounting for…

Machine Learning · Computer Science 2026-02-03 Aayush Gautam , Mukul Gagrani , Junyoung Park , Mingu Lee , Chiris Lott , Narasimha Reddy

Although the linear method is one of the most robust algorithms for optimizing non-linearly parametrized wavefunctions in variational Monte Carlo, it suffers from a memory bottleneck due to the fact at each optimization step a generalized…

Strongly Correlated Electrons · Physics 2020-01-29 Iliya Sabzevari , Ankit Mahajan , Sandeep Sharma

Flow-matching models deliver state-of-the-art fidelity in image and video generation, but the inherent sequential denoising process renders them slower. Existing acceleration methods like distillation, trajectory truncation, and consistency…

Computer Vision and Pattern Recognition · Computer Science 2026-02-12 Divya Jyoti Bajpai , Dhruv Bhardwaj , Soumya Roy , Tejas Duseja , Harsh Agarwal , Aashay Sandansing , Manjesh Kumar Hanawal

The current leading computer vision models are typically feed forward neural models, in which the output of one computational block is passed to the next one sequentially. This is in sharp contrast to the organization of the primate visual…

Computer Vision and Pattern Recognition · Computer Science 2019-10-25 Barak Battash , Lior Wolf

In this paper we present two strategies to enable "parallelization across the method" for spectral deferred corrections (SDC). Using standard low-order time-stepping methods in an iterative fashion, SDC can be seen as preconditioned Picard…

Numerical Analysis · Mathematics 2017-03-24 Robert Speck

In this paper, we introduce a new iterative method which we call one step back approach: the main idea is to anticipate the consequence of the iterative computation per coordinate and to optimize on the choice of the sequence of the…

Numerical Analysis · Computer Science 2013-02-19 Dohy Hong

A feedforward neural network using rectified linear units constructs a mapping from inputs to outputs by partitioning its input space into a set of convex regions where points within a region share a single affine transformation. In order…

Machine Learning · Computer Science 2024-03-05 Sabrina Drammis , Bowen Zheng , Karthik Srinivasan , Robert C. Berwick , Nancy A. Lynch , Robert Ajemian

In this paper, we propose a successive pseudo-convex approximation algorithm to efficiently compute stationary points for a large class of possibly nonconvex optimization problems. The stationary points are obtained by solving a sequence of…

Optimization and Control · Mathematics 2018-12-17 Yang Yang , Marius Pesavento

A key challenge in autoregressive image generation is to efficiently sample independent locations in parallel, while still modeling mutual dependencies with serial conditioning. Some recent works have addressed this by conditioning between…

Computer Vision and Pattern Recognition · Computer Science 2026-02-26 David Eigen

We propose the feed-forward perturbation-based nonlinearity compensation method using the received signal, which outperforms conventional decision-based ones and eliminates the need for decision feedback. Additionally, combining half-half…

Optics · Physics 2025-12-30 Chuang Xu , Alan Pak Tao Lau

In this paper, feedforward neural networks are presented that have nonlinear weight functions based on look--up tables, that are specially smoothed in a regularization called the diffusion. The idea of such a type of networks is based on…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Artur Rataj

Asynchronous iterative methods tolerate straggling processors by allowing workers to proceed with stale data, but at a cost: the iterates become inconsistent, potentially degrading convergence. We investigate whether convergence…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-28 Evan Coleman , Masha Sosonkina
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