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Large language models (LLMs) operate as autoregressive predictors over discrete token vocabularies, a formulation that has enabled their adaptation far beyond natural language to vision, robotics, and multimodal reasoning. However, training…

Machine Learning · Computer Science 2026-05-08 Jiwan Chung , Saejin Kim , Yongrae Jo , Jaewoo Park , Dongjun Min , Youngjae Yu

Unsupervised domain adaptation(UDA) has been applied to image semantic segmentation to solve the problem of domain offset. However, in some difficult categories with poor recognition accuracy, the segmentation effects are still not ideal.…

Computer Vision and Pattern Recognition · Computer Science 2022-10-21 Xuewei Li , Weilun Zhang , Jie Gao , Xuzhou Fu , Jian Yu

This work is concerned with the finite-horizon optimal covariance steering of networked systems governed by discrete-time stochastic linear dynamics. In contrast with existing work that has only considered systems with dynamically decoupled…

Optimization and Control · Mathematics 2025-04-29 Ahmed Khalil , Yoonjae Lee , Efstathios Bakolas

The recently developed Distributed Block Proximal Method, for solving stochastic big-data convex optimization problems, is studied in this paper under the assumption of constant stepsizes and strongly convex (possibly non-smooth) local…

Optimization and Control · Mathematics 2020-03-06 Francesco Farina , Giuseppe Notarstefano

Maintaining an up-to-date map to reflect recent changes in the scene is very important, particularly in situations involving repeated traversals by a robot operating in an environment over an extended period. Undetected changes may cause a…

Unsigned distance fields (UDFs) allow for the representation of models with complex topologies, but extracting accurate zero level sets from these fields poses significant challenges, particularly in preserving topological accuracy and…

Computer Vision and Pattern Recognition · Computer Science 2024-09-02 Xuhui Chen , Fugang Yu , Fei Hou , Wencheng Wang , Zhebin Zhang , Ying He

We first propose a decentralized proximal stochastic gradient tracking method (DProxSGT) for nonconvex stochastic composite problems, with data heterogeneously distributed on multiple workers in a decentralized connected network. To save…

Optimization and Control · Mathematics 2023-03-01 Yonggui Yan , Jie Chen , Pin-Yu Chen , Xiaodong Cui , Songtao Lu , Yangyang Xu

We propose a class of convex relaxations to solve the sensor network localization problem, based on a maximum likelihood (ML) formulation. This class, as well as the tightness of the relaxations, depends on the noise probability density…

Information Theory · Computer Science 2017-09-18 Andrea Simonetto , Geert Leus

We contribute to the growing body of knowledge on more powerful and adaptive stepsizes for convex optimization, empowered by local curvature information. We do not go the route of fully-fledged second-order methods which require the…

Optimization and Control · Mathematics 2024-05-28 Peter Richtárik , Simone Maria Giancola , Dymitr Lubczyk , Robin Yadav

We present a rigorous convergence analysis of a new method for density-based topology optimization that provides point-wise bound preserving design updates and faster convergence than other popular first-order topology optimization methods.…

Optimization and Control · Mathematics 2025-02-25 Brendan Keith , Dohyun Kim , Boyan S. Lazarov , Thomas M. Surowiec

Signal processing on graph is attracting more and more attentions. For a graph signal in the low-frequency subspace, the missing data associated with unsampled vertices can be reconstructed through the sampled data by exploiting the…

Information Theory · Computer Science 2015-06-23 Xiaohan Wang , Pengfei Liu , Yuantao Gu

Machine learning (ML) solutions to indoor localization problems have become popular in recent years due to high positioning accuracy and low cost of implementation. This paper proposes a novel local nonparametric approach for solving…

Signal Processing · Electrical Eng. & Systems 2023-02-22 Nora Agah , Brian Evans , Xiao Meng , Haiqing Xu

Semi-supervised 3D object detection is a common strategy employed to circumvent the challenge of manually labeling large-scale autonomous driving perception datasets. Pseudo-labeling approaches to semi-supervised learning adopt a…

Computer Vision and Pattern Recognition · Computer Science 2024-09-18 Philip Jacobson , Yichen Xie , Mingyu Ding , Chenfeng Xu , Masayoshi Tomizuka , Wei Zhan , Ming C. Wu

Federated Learning is a powerful machine learning paradigm to cooperatively train a global model with highly distributed data. A major bottleneck on the performance of distributed Stochastic Gradient Descent (SGD) algorithm for large-scale…

Machine Learning · Computer Science 2020-01-24 Haozhao Wang , Zhihao Qu , Song Guo , Xin Gao , Ruixuan Li , Baoliu Ye

Motivated by considering partial differential equations arising from conservation laws posed on evolving surfaces, a new numerical method for an advection problem is developed and simple numerical tests are performed. The method is based on…

Numerical Analysis · Mathematics 2016-02-03 Christian Engwer , Thomas Ranner , Sebastian Westerheide

We consider d-dimensional random surface models which for d=1 are the standard (tied-down) random walks (considered as a random ``string''). In higher dimensions, the one-dimensional (discrete) time parameter of the random walk is replaced…

Probability · Mathematics 2016-09-07 Erwin Bolthausen

Distance metric learning (DML) approaches learn a transformation to a representation space where distance is in correspondence with a predefined notion of similarity. While such models offer a number of compelling benefits, it has been…

Machine Learning · Statistics 2016-03-03 Oren Rippel , Manohar Paluri , Piotr Dollar , Lubomir Bourdev

A Semidefinite Programming (SDP) relaxation is an effective computational method to solve a Sensor Network Localization problem, which attempts to determine the locations of a group of sensors given the distances between some of them [11].…

Metric Geometry · Mathematics 2012-11-16 Davood Shamsi , Nicole Taheri , Zhisu Zhu , Yinyu Ye

In this paper, we develop an efficient preconditioned unfitted finite element method for the elliptic interface problem, based on the reconstructed discontinuous approximation. The approximation method for interface problems is originally…

Numerical Analysis · Mathematics 2026-05-28 Ruo Li , Qicheng Liu , Fanyi Yang , Shuhai Zhao

This paper presents a solver using the Level-Set method for incompressible two phase flows with surface tension. A one fluid approach is adopted where both phases share the same velocity and pressure field. The Level Set method has been…

Fluid Dynamics · Physics 2024-11-13 Paulin Ferro , Paul Landel , Carla Landrodie , Simon Guillot , Marc Pescheux