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This paper conducts a comparative study of proximal gradient methods (PGMs) and proximal DC algorithms (PDCAs) for sparse regression problems which can be cast as Difference-of-two-Convex-functions (DC) optimization problems. It has been…

Optimization and Control · Mathematics 2022-04-21 Shummin Nakayama , Jun-ya Gotoh

We analyze stochastic algorithms for optimizing nonconvex, nonsmooth finite-sum problems, where the nonconvex part is smooth and the nonsmooth part is convex. Surprisingly, unlike the smooth case, our knowledge of this fundamental problem…

Optimization and Control · Mathematics 2016-05-24 Sashank J. Reddi , Suvrit Sra , Barnabas Poczos , Alex Smola

Graph-based anomaly detection finds numerous applications in the real-world. Thus, there exists extensive literature on the topic that has recently shifted toward deep detection models due to advances in deep learning and graph neural…

Machine Learning · Computer Science 2022-10-21 Lingxiao Zhao , Saurabh Sawlani , Arvind Srinivasan , Leman Akoglu

We present a first-order method for solving constrained optimization problems. The method is derived from our previous work, a modified search direction method inspired by singular value decomposition. In this work, we simplify its…

Optimization and Control · Mathematics 2023-02-24 Long Chen , Kai-Uwe Bletzinger , Nicolas R. Gauger , Yinyu Ye

We revisit the problem of robust principal component analysis with features acting as prior side information. To this aim, a novel, elegant, non-convex optimization approach is proposed to decompose a given observation matrix into a…

Machine Learning · Statistics 2017-09-15 Niannan Xue , Jiankang Deng , Yannis Panagakis , Stefanos Zafeiriou

We present an efficient incremental SLAM back-end that achieves the accuracy of full batch optimization while substantially reducing computational cost. The proposed approach combines two complementary ideas: information-guided gating (IGG)…

Robotics · Computer Science 2026-01-14 Reza Arablouei

Node-level graph anomaly detection (GAD) plays a critical role in identifying anomalous nodes from graph-structured data in various domains such as medicine, social networks, and e-commerce. However, challenges have arisen due to the…

Machine Learning · Computer Science 2023-11-29 Junjun Pan , Yixin Liu , Yizhen Zheng , Shirui Pan

Stochastic gradient descent (SGD) is one of the most widely used optimization methods for parallel and distributed processing of large datasets. One of the key limitations of distributed SGD is the need to regularly communicate the…

Optimization and Control · Mathematics 2018-10-25 Xiaojian Xu , Ulugbek S. Kamilov

We study nonconvex finite-sum problems and analyze stochastic variance reduced gradient (SVRG) methods for them. SVRG and related methods have recently surged into prominence for convex optimization given their edge over stochastic gradient…

Optimization and Control · Mathematics 2016-04-06 Sashank J. Reddi , Ahmed Hefny , Suvrit Sra , Barnabas Poczos , Alex Smola

Graph Neural Networks (GNNs) have established themselves as a key component in addressing diverse graph-based tasks. Despite their notable successes, GNNs remain susceptible to input perturbations in the form of adversarial attacks. This…

Machine Learning · Computer Science 2024-09-13 Moshe Eliasof , Davide Murari , Ferdia Sherry , Carola-Bibiane Schönlieb

Recently there has been a significant effort to automate UV mapping, the process of mapping 3D-dimensional surfaces to the UV space while minimizing distortion and seam length. Although state-of-the-art methods, Autocuts and OptCuts,…

Graphics · Computer Science 2020-12-04 Fatemeh Teimury , Bruno Roy , Juan Sebastián Casallas , David MacDonald , Mark Coates

Efficient layout of large-scale graphs remains a challenging problem: the force-directed and dimensionality reduction-based methods suffer from high overhead for graph distance and gradient computation. In this paper, we present a new graph…

Social and Information Networks · Computer Science 2020-08-19 Minfeng Zhu , Wei Chen , Yuanzhe Hu , Yuxuan Hou , Liangjun Liu , Kaiyuan Zhang

Fast power system state estimation (SE) solution is of paramount importance for achieving real-time decision making in power grid operations. Semidefinite programming (SDP) reformulation has been shown effective to obtain the global optimum…

Signal Processing · Electrical Eng. & Systems 2019-06-20 Yu Lan , Hao Zhu , Xiaohong Guan

Non-convex optimization problems are ubiquitous in machine learning, especially in Deep Learning. While such complex problems can often be successfully optimized in practice by using stochastic gradient descent (SGD), theoretical analysis…

Machine Learning · Computer Science 2022-02-21 Harsh Vardhan , Sebastian U. Stich

Graph representation learning on vast datasets, like web data, has made significant strides. However, the associated computational and storage overheads raise concerns. In sight of this, Graph condensation (GCond) has been introduced to…

Machine Learning · Computer Science 2024-02-12 Junfeng Fang , Xinglin Li , Yongduo Sui , Yuan Gao , Guibin Zhang , Kun Wang , Xiang Wang , Xiangnan He

Graph Neural Networks (GNN) have demonstrated state-of-the-art performance in numerous scientific and high-performance computing (HPC) applications. Recent work suggests that "souping" (combining) individually trained GNNs into a single…

Machine Learning · Computer Science 2025-03-17 Joseph Zuber , Aishwarya Sarkar , Joseph Jennings , Ali Jannesari

Optimization based motion planning provides a useful modeling framework through various costs and constraints. Using Graph of Convex Sets (GCS) for trajectory optimization gives guarantees of feasibility and optimality by representing…

Robotics · Computer Science 2025-04-15 Shruti Garg , Thomas Cohn , Russ Tedrake

Graph convolutional network (GCN), an emerging algorithm for graph computing, has achieved promising performance in graphstructure tasks. To achieve acceleration for data-intensive and sparse graph computing, ASICs such as GCNAX have been…

Presently with technology node scaling, an accurate prediction model at early design stages can significantly reduce the design cycle. Especially during logic synthesis, predicting cell congestion due to improper logic combination can…

Machine Learning · Computer Science 2021-11-12 Amur Ghose , Vincent Zhang , Yingxue Zhang , Dong Li , Wulong Liu , Mark Coates

Deep learning based camera pose estimation from monocular camera images has seen a recent uptake in Visual SLAM research. Even though such pose estimation approaches have excellent results in small confined areas like offices and apartment…

Robotics · Computer Science 2021-05-17 Alphonsus Adu-Bredu , Noah Del Coro , Tianyi Liu
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