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A new result in convex analysis on the calculation of proximity operators in certain scaled norms is derived. We describe efficient implementations of the proximity calculation for a useful class of functions; the implementations exploit…

Optimization and Control · Mathematics 2013-03-04 Stephen Becker , M. Jalal Fadili

Fine-tuning large language models (LLMs) on resource-constrained clients remains a challenging problem. Recent works have fused low-rank adaptation (LoRA) techniques with federated fine-tuning to mitigate challenges associated with client…

Machine Learning · Computer Science 2026-05-26 Wenzhi Fang , Dong-Jun Han , Liangqi Yuan , Seyyedali Hosseinalipour , Christopher G. Brinton

This thesis presents novel contributions in two primary areas: advancing the efficiency of generative models, particularly normalizing flows, and applying generative models to solve real-world computer vision challenges. The first part…

Computer Vision and Pattern Recognition · Computer Science 2025-12-04 Sandeep Nagar

Large Vision Language Models (LVLMs) have demonstrated remarkable reasoning capabilities over textual and visual inputs. However, these models remain prone to generating misinformation. Identifying and mitigating ungrounded responses is…

Artificial Intelligence · Computer Science 2025-05-07 Gabriela Ben-Melech Stan , Estelle Aflalo , Man Luo , Shachar Rosenman , Tiep Le , Sayak Paul , Shao-Yen Tseng , Vasudev Lal

Approximate nearest neighbor (ANN) search is a key component in many modern machine learning pipelines; recent use cases include retrieval-augmented generation (RAG) and vector databases. Clustering-based ANN algorithms, that use score…

Machine Learning · Computer Science 2024-10-25 Elias Jääsaari , Ville Hyvönen , Teemu Roos

The human visual system excels at detecting local blur of visual images, but the underlying mechanism is not well understood. Traditional views of blur such as reduction in energy at high frequencies and loss of phase coherence at localized…

Computer Vision and Pattern Recognition · Computer Science 2018-06-13 Kede Ma , Huan Fu , Tongliang Liu , Zhou Wang , Dacheng Tao

In this paper we present a novel probabilistic sampling-based motion planning algorithm called the Fast Marching Tree algorithm (FMT*). The algorithm is specifically aimed at solving complex motion planning problems in high-dimensional…

Robotics · Computer Science 2015-02-09 Lucas Janson , Edward Schmerling , Ashley Clark , Marco Pavone

Recently, network lasso has drawn many attentions due to its remarkable performance on simultaneous clustering and optimization. However, it usually suffers from the imperfect data (noise, missing values etc), and yields sub-optimal…

Machine Learning · Computer Science 2018-08-21 Yawei Zhao , Kai Xu , Xinwang Liu , En Zhu , Xinzhong Zhu , Jianping Yin

This study proposes sparse estimation methods for the generalized linear models, which run one of least angle regression (LARS) and least absolute shrinkage and selection operator (LASSO) in the tangent space of the manifold of the…

Machine Learning · Statistics 2020-07-20 Yoshihiro Hirose

Maximum likelihood estimation is an important statistical technique for estimating missing data, for example in climate and environmental applications, which are usually large and feature data points that are irregularly spaced. In…

Numerical Analysis · Computer Science 2019-07-25 Sameh Abdulah , Hatem Ltaief , Ying Sun , Marc G. Genton , David E. Keyes

We introduce a new sorting algorithm that is the combination of ML-enhanced sorting with the In-place Super Scalar Sample Sort (IPS4o). The main contribution of our work is to achieve parallel ML-enhanced sorting, as previous algorithms…

Data Structures and Algorithms · Computer Science 2022-08-26 Ivan Carvalho

In recent years, there have been significant advances in efficiently solving $\ell_s$-regression using linear system solvers and $\ell_2$-regression [Adil-Kyng-Peng-Sachdeva, J. ACM'24]. Would efficient smoothed $\ell_p$-norm solvers lead…

Optimization and Control · Mathematics 2026-01-16 Deeksha Adil , Brian Bullins , Arun Jambulapati , Aaron Sidford

Federated learning has emerged in the last decade as a distributed optimization paradigm due to the rapidly increasing number of portable devices able to support the heavy computational needs related to the training of machine learning…

Machine Learning · Computer Science 2024-10-10 Emanuel Buttaci , Giuseppe Carlo Calafiore

In this paper, we aim at unifying, simplifying and improving the convergence rate analysis of Lagrangian-based methods for convex optimization problems. We first introduce the notion of nice primal algorithmic map, which plays a central…

Optimization and Control · Mathematics 2023-06-07 Shoham Sabach , Marc Teboulle

We propose SLOT (Sample-specific Language Model Optimization at Test-time), a novel and parameter-efficient test-time inference approach that enhances a language model's ability to more accurately respond to individual prompts. Existing…

Computation and Language · Computer Science 2025-05-27 Yang Hu , Xingyu Zhang , Xueji Fang , Zhiyang Chen , Xiao Wang , Huatian Zhang , Guojun Qi

Many data-fitting applications require the solution of an optimization problem involving a sum of large number of functions of high dimensional parameter. Here, we consider the problem of minimizing a sum of $n$ functions over a convex…

Optimization and Control · Mathematics 2016-02-29 Farbod Roosta-Khorasani , Michael W. Mahoney

Monte Carlo rendering algorithms are widely used to produce photorealistic computer graphics images. However, these algorithms need to sample a substantial amount of rays per pixel to enable proper global illumination and thus require an…

Computer Vision and Pattern Recognition · Computer Science 2021-06-25 Qiqi Hou , Zhan Li , Carl S Marshall , Selvakumar Panneer , Feng Liu

Shuffled linear regression (SLR) seeks to estimate latent features through a linear transformation, complicated by unknown permutations in the measurement dimensions. This problem extends traditional least-squares (LS) and Least Absolute…

Statistics Theory · Mathematics 2025-04-17 Hang Liu , Anna Scaglione

Federated efficient fine-tuning has emerged as an approach that leverages distributed data and computational resources across nodes to address the challenges of large-scale fine-tuning and privacy preservation. The Low-Rank Adaptation…

Machine Learning · Computer Science 2025-10-14 Jianzhe Zhao , Hailin Zhu , Yu Zhang , Ziqi Chen , Guibing Guo

Trajectory simplification is a problem encountered in areas like Robot programming by demonstration, CAD/CAM, computer vision, and in GPS-based applications like traffic analysis. This problem entails reduction of the points in a given…

Computer Vision and Pattern Recognition · Computer Science 2016-08-29 Daniel L. Marino , Milos Manic