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The overdetermination of the mathematical problem underlying ptychography is reduced by a host of experimentally more desirable settings. Furthermore, reconstruction of the sample-induced phase shift is typically limited by uncertainty in…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Marcel Schloz , Thomas C. Pekin , Zhen Chen , Wouter Van den Broek , David A. Muller , Christoph T. Koch

While uniform sampling has been widely studied in the matrix completion literature, CUR sampling approximates a low-rank matrix via row and column samples. Unfortunately, both sampling models lack flexibility for various circumstances in…

Machine Learning · Computer Science 2025-04-17 HanQin Cai , Longxiu Huang , Pengyu Li , Deanna Needell

Linear matrix equations, such as the Sylvester and Lyapunov equations, play an important role in various applications, including the stability analysis and dimensionality reduction of linear dynamical control systems and the solution of…

Numerical Analysis · Mathematics 2019-05-30 Daniel Kressner , Stefano Massei , Leonardo Robol

Channel pruning is a powerful technique to reduce the computational overhead of deep neural networks, enabling efficient deployment on resource-constrained devices. However, existing pruning methods often rely on local heuristics or…

Artificial Intelligence · Computer Science 2025-06-16 Zifan Liu , Yuan Cao , Yanwei Yu , Heng Qi , Jie Gui

Inference and simulation in the context of high-dimensional dynamical systems remain computationally challenging problems. Some form of dimensionality reduction is required to make the problem tractable in general. In this paper, we propose…

Machine Learning · Statistics 2024-01-04 Jonathan Schmidt , Philipp Hennig , Jörg Nick , Filip Tronarp

Current methods for end-to-end constructive neural combinatorial optimization usually train a policy using behavior cloning from expert solutions or policy gradient methods from reinforcement learning. While behavior cloning is…

Machine Learning · Computer Science 2024-11-05 Jonathan Pirnay , Dominik G. Grimm

CRISPR technology has enabled large-scale cell lineage tracing for complex multicellular organisms by mutating synthetic genomic barcodes during organismal development. However, these sophisticated biological tools currently use ad-hoc and…

Quantitative Methods · Quantitative Biology 2019-04-02 Jean Feng , William S DeWitt , Aaron McKenna , Noah Simon , Amy Willis , Frederick A Matsen

Data mixing augmentation have proved to be effective in improving the generalization ability of deep neural networks. While early methods mix samples by hand-crafted policies (e.g., linear interpolation), recent methods utilize saliency…

Computer Vision and Pattern Recognition · Computer Science 2022-09-23 Zicheng Liu , Siyuan Li , Di Wu , Zihan Liu , Zhiyuan Chen , Lirong Wu , Stan Z. Li

Algorithms for learning a dictionary to sparsely represent a given dataset typically alternate between sparse coding and dictionary update stages. Methods for dictionary update aim to minimise expansion error by updating dictionary vectors…

Signal Processing · Electrical Eng. & Systems 2020-04-22 Qi Yu , Wei Dai , Zoran Cvetkovic , Jubo Zhu

This survey explores modern approaches for computing low-rank approximations of high-dimensional matrices by means of the randomized SVD, randomized subspace iteration, and randomized block Krylov iteration. The paper compares the…

Numerical Analysis · Mathematics 2023-09-25 Joel A. Tropp , Robert J. Webber

Introducing sparsity in a neural network has been an efficient way to reduce its complexity while keeping its performance almost intact. Most of the time, sparsity is introduced using a three-stage pipeline: 1) train the model to…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Nathan Hubens , Matei Mancas , Bernard Gosselin , Marius Preda , Titus Zaharia

This brief introduces a hardware complexity reduction method for successive cancellation list (SCL) decoders. Specifically, we propose to use a sorting scheme so that L paths with smallest path metrics are also sorted according to their…

Hardware Architecture · Computer Science 2019-08-20 Onur Dizdar

We propose a novel method for code summarization utilizing Heterogeneous Code Representations (HCRs) and our specially designed HierarchyNet. HCRs effectively capture essential code features at lexical, syntactic, and semantic levels by…

Software Engineering · Computer Science 2023-05-10 Minh Huynh Nguyen , Nghi D. Q. Bui , Truong Son Hy , Long Tran-Thanh , Tien N. Nguyen

Low-Density Parity-Check (LDPC) codes are usually decoded by running an iterative belief-propagation, or message-passing, algorithm over the factor graph of the code. The traditional message-passing schedule consists of updating all the…

Information Theory · Computer Science 2007-07-13 Andres I. Vila Casado , Miguel Griot , Richard D. Wesel

Processes to automate the selection of appropriate algorithms for various matrix computations are described. In particular, processes to check for, and certify, various matrix properties of black box matrices are presented. These include…

Numerical Analysis · Computer Science 2016-11-01 Wayne Eberly

We develop a practical semidefinite programming (SDP) facial reduction procedure that utilizes computationally efficient approximations of the positive semidefinite cone. The proposed method simplifies SDPs with no strictly feasible…

Optimization and Control · Mathematics 2017-11-30 Frank Permenter , Pablo Parrilo

Biologists all over the world use camera traps to monitor biodiversity and wildlife population density. The computer vision community has been making strides towards automating the species classification challenge in camera traps, but it…

Computer Vision and Pattern Recognition · Computer Science 2019-07-17 Sara Beery , Dan Morris , Siyu Yang

Transformer encoders are widely deployed in large-scale web services for natural language understanding tasks such as text classification, semantic retrieval, and content ranking. However, their high inference latency and memory consumption…

Machine Learning · Computer Science 2025-12-25 Zeli Su , Ziyin Zhang , Wenzheng Zhang , Zhou Liu , Guixian Xu , Wentao Zhang

We present an algorithm to reduce the computational effort for the multiplication of a given matrix with an unknown column vector. The algorithm decomposes the given matrix into a product of matrices whose entries are either zero or integer…

Information Theory · Computer Science 2020-02-28 Ralf R. Müller , Bernhard Gäde , Ali Bereyhi

Efficient and automated design of optimizers plays a crucial role in full-stack AutoML systems. However, prior methods in optimizer search are often limited by their scalability, generability, or sample efficiency. With the goal of…

Machine Learning · Computer Science 2022-09-29 Ruochen Wang , Yuanhao Xiong , Minhao Cheng , Cho-Jui Hsieh
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