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When aligning large language models (LLMs), their performance on various tasks (such as being helpful, harmless, and honest) depends heavily on the composition of their training data. However, selecting a data mixture that achieves strong…

This letter proposes a novel sparsity-aware adaptive filtering scheme and algorithms based on an alternating optimization strategy with shrinkage. The proposed scheme employs a two-stage structure that consists of an alternating…

系统与控制 · 计算机科学 2023-07-19 Rodrigo C. de Lamare , Raimundo Sampaio-Neto

The CALMA (Computer Assisted Library for MAmmography) project is a five years plan developed in a physics research frame in collaboration between INFN (Istituto Nazionale di Fisica Nucleare) and many Italian hospitals. At present a large…

医学物理 · 物理学 2009-11-10 A. Lauria , R. Palmiero , G. Forni , P. Cerello , B. Golosio , F. Fauci , R. Magro , G. Raso , S. Tangaro , P. L. Indovina

Most of the existing clustering methods are based on a single granularity of information, such as the distance and density of each data. This most fine-grained based approach is usually inefficient and susceptible to noise. Therefore, we…

机器学习 · 计算机科学 2023-03-30 Jiang Xie , Shuyin Xia , Guoyin Wang , Xinbo Gao

Magnetic Resonance Imaging (MRI) is a powerful technique employed for non-invasive in vivo visualization of internal structures. Sparsity is often deployed to accelerate the signal acquisition or overcome the presence of motion artifacts,…

图像与视频处理 · 电气工程与系统科学 2025-05-27 Gianluca Giacchi , Isidoros Iakovidis , Bastien Milani , Micah Murray , Benedetta Franceschiello

We propose a clustering-based generalized low rank approximation method, which takes advantage of appealing features from both the generalized low rank approximation of matrices (GLRAM) and cluster analysis. It exploits a more general form…

最优化与控制 · 数学 2025-02-21 Yujun Zhu , Jie Zhu , Hizba Arshad , Zhongming Wang , Ju Ming

It is well-established that many iterative sparse reconstruction algorithms can be unrolled to yield a learnable neural network for improved empirical performance. A prime example is learned ISTA (LISTA) where weights, step sizes and…

机器学习 · 计算机科学 2020-10-06 Freya Behrens , Jonathan Sauder , Peter Jung

This paper presents a novel spectral algorithm with additive clustering designed to identify overlapping communities in networks. The algorithm is based on geometric properties of the spectrum of the expected adjacency matrix in a random…

机器学习 · 统计学 2017-11-07 Emilie Kaufmann , Thomas Bonald , Marc Lelarge

Convex optimization is an essential tool for modern data analysis, as it provides a framework to formulate and solve many problems in machine learning and data mining. However, general convex optimization solvers do not scale well, and…

社会与信息网络 · 计算机科学 2015-07-02 David Hallac , Jure Leskovec , Stephen Boyd

Understanding both global and layer-specific group structures is useful for uncovering complex patterns in networks with multiple interaction types. In this work, we introduce a new model, the hierarchical multiplex stochastic blockmodel…

In this paper, we propose an algorithm based on the Alternating Minimization technique to solve the uplink massive MIMO detection problem. The proposed algorithm provides a lower complexity compared to the conventional MMSE detection…

信息论 · 计算机科学 2019-02-26 Anis Elgabli , Ali Elghariani , Vaneet Aggarwal , Mark Bell

The low multilinear rank approximation, also known as the truncated Tucker decomposition, has been extensively utilized in many applications that involve higher-order tensors. Popular methods for low multilinear rank approximation usually…

数值分析 · 数学 2021-04-05 Chuanfu Xiao , Chao Yang , Min Li

We propose a learnable variational model that learns the features and leverages complementary information from both image and measurement domains for image reconstruction. In particular, we introduce a learned alternating minimization…

计算机视觉与模式识别 · 计算机科学 2025-07-31 Chi Ding , Qingchao Zhang , Ge Wang , Xiaojing Ye , Yunmei Chen

Dynamic multilayer networks arise in many applications where multiple types of relations among a common set of nodes evolve over time. Existing approaches often assume temporal independence, focus on single-layer networks or impose…

统计方法学 · 统计学 2026-04-29 Fan Wang , Haotian Xu , Yi Yu

The problem of Hybrid Linear Modeling (HLM) is to model and segment data using a mixture of affine subspaces. Different strategies have been proposed to solve this problem, however, rigorous analysis justifying their performance is missing.…

机器学习 · 统计学 2009-08-27 Guangliang Chen , Gilad Lerman

We introduce a new algorithm for complex image reconstruction with separate regularization of the image magnitude and phase. This optimization problem is interesting in many different image reconstruction contexts, although is nonconvex and…

信号处理 · 电气工程与系统科学 2020-12-17 Yunsong Liu , Justin P. Haldar

The alternating minimization (AM) method is a fundamental method for minimizing convex functions whose variable consists of two blocks. How to efficiently solve each subproblems when applying the AM method is the most concerned task. In…

最优化与控制 · 数学 2015-01-16 Hui Zhang , Lizhi Cheng

We introduce a new approach to the numerical simulation of Scanning Transmission Electron Microscopy images. The Lattice Multislice Algorithm (LMA) takes advantage of the fact that electron waves passing through the specimen have limited…

数值分析 · 数学 2023-10-26 Christian Doberstein , Peter Binev

We propose NAMA (Newton-type Alternating Minimization Algorithm) for solving structured nonsmooth convex optimization problems where the sum of two functions is to be minimized, one being strongly convex and the other composed with a linear…

最优化与控制 · 数学 2019-11-11 Lorenzo Stella , Andreas Themelis , Panagiotis Patrinos

Tensor ring (TR) decomposition has been widely applied as an effective approach in a variety of applications to discover the hidden low-rank patterns in multidimensional data. A well-known method for TR decomposition is the alternating…

数值分析 · 数学 2022-10-21 Yajie Yu , Hanyu Li