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We study primary submodules and primary decompositions from a differential and computational point of view. Our main theoretical contribution is a general structure theory and a representation theorem for primary submodules of an arbitrary…

Commutative Algebra · Mathematics 2022-02-15 Justin Chen , Yairon Cid-Ruiz

We consider the numerical irreducible decomposition of a positive dimensional solution set of a polynomial system into irreducible factors. Path tracking techniques computing loops around singularities connect points on the same irreducible…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-20 Anton Leykin , Jan Verschelde

Most modern multiple object tracking (MOT) systems follow the tracking-by-detection paradigm, consisting of a detector followed by a method for associating detections into tracks. There is a long history in tracking of combining motion and…

Computer Vision and Pattern Recognition · Computer Science 2021-06-08 Mohamed Chaabane , Peter Zhang , J. Ross Beveridge , Stephen O'Hara

Accurate tracking of transparent objects, such as glasses, plays a critical role in many robotic tasks such as robot-assisted living. Due to the adaptive and often reflective texture of such objects, traditional tracking algorithms that…

Computer Vision and Pattern Recognition · Computer Science 2023-09-14 Kalyan Garigapati , Erik Blasch , Jie Wei , Haibin Ling

In the past decade many robots were deployed in the wild, and people detection and tracking is an important component of such deployments. On top of that, one often needs to run modules which analyze persons and extract higher level…

Robotics · Computer Science 2018-07-31 Stefan Breuers , Lucas Beyer , Umer Rafi , Bastian Leibe

Due to the challenges of processing temporal information, most trackers depend solely on visual discriminability and overlook the unique temporal coherence of video data. In this paper, we propose a lightweight and plug-and-play motion…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Jie Zhao , Xin Chen , Yongsheng Yuan , Michael Felsberg , Dong Wang , Huchuan Lu

Many complex mechatronic systems consist of multiple interconnected dynamical subsystems, which are designed, developed, analyzed, and manufactured by multiple independent teams. To support such a design approach, a modular model framework…

Systems and Control · Electrical Eng. & Systems 2024-02-13 Robert A. Egelmeers , Lars A. L. Janssen , Rob H. B. Fey , Jasper Gerritsen , Nathan van de Wouw

Multi-object Tracking (MOT) generally can be split into two sub-tasks, i.e., detection and association. Many previous methods follow the tracking by detection paradigm, which first obtain detections at each frame and then associate them…

Computer Vision and Pattern Recognition · Computer Science 2022-04-01 Mingfei Chen , Yue Liao , Si Liu , Fei Wang , Jenq-Neng Hwang

In complex inferential tasks like question answering, machine learning models must confront two challenges: the need to implement a compositional reasoning process, and, in many applications, the need for this reasoning process to be…

Computer Vision and Pattern Recognition · Computer Science 2019-03-08 Ronghang Hu , Jacob Andreas , Trevor Darrell , Kate Saenko

In this paper, a new control scheme, called as additive-decomposition-based tracking control, is proposed to solve the output feedback tracking problem for a class of systems with measurable nonlinearities and unknown disturbances. By the…

Adaptation and Self-Organizing Systems · Physics 2020-03-10 Quan Quan , Kai-Yuan Cai , Hai Lin

This paper addresses the decomposition of biochemical networks into functional modules that preserve their dynamic properties upon interconnection with other modules, which permits the inference of network behavior from the properties of…

Molecular Networks · Quantitative Biology 2014-12-03 Hari Sivakumar , Stephen R. Proulx , João P. Hespanha

The identification of reduced-order models from high-dimensional data is a challenging task, and even more so if the identified system should not only be suitable for a certain data set, but generally approximate the input-output behavior…

Systems and Control · Computer Science 2017-12-25 Peter Benner , Christian Himpe , Tim Mitchell

Deformable parts models show a great potential in tracking by principally addressing non-rigid object deformations and self occlusions, but according to recent benchmarks, they often lag behind the holistic approaches. The reason is that…

Computer Vision and Pattern Recognition · Computer Science 2016-05-13 Alan Lukežič , Luka Čehovin , Matej Kristan

Compositional verification algorithms are well-studied in the context of model checking. Properly selecting components for verification is important for efficiency, yet has received comparatively less attention. In this paper, we address…

Formal Languages and Automata Theory · Computer Science 2024-08-19 Ian Dardik , April Porter , Eunsuk Kang

Object tracking is an essential task in computer vision that has been studied since the early days of the field. Being able to follow objects that undergo different transformations in the video sequence, including changes in scale,…

Computer Vision and Pattern Recognition · Computer Science 2017-05-29 Elena Burceanu , Marius Leordeanu

Tensor ring (TR) decomposition is an efficient approach to discover the hidden low-rank patterns for higher-order tensors, and streaming tensors are becoming highly prevalent in real-world applications. In this paper, we investigate how to…

Numerical Analysis · Mathematics 2023-07-04 Yajie Yu , Hanyu Li

Tracking-by-detection methods have demonstrated competitive performance in recent years. In these approaches, the tracking model heavily relies on the quality of the training set. Due to the limited amount of labeled training data,…

Computer Vision and Pattern Recognition · Computer Science 2016-09-21 Martin Danelljan , Gustav Häger , Fahad Shahbaz Khan , Michael Felsberg

This paper addresses the problem of appearance matching across different challenges while doing visual face tracking in real-world scenarios. In this paper, FaceTrack is proposed that utilizes multiple appearance models with its long-term…

Computer Vision and Pattern Recognition · Computer Science 2018-08-31 Tanushri Chakravorty , Guillaume-Alexandre Bilodeau , Eric Granger

Single-object tracking is a well-known and challenging research topic in computer vision. Over the last two decades, numerous researchers have proposed various algorithms to solve this problem and achieved promising results. Recently,…

Computer Vision and Pattern Recognition · Computer Science 2023-08-09 Janani Thangavel , Thanikasalam Kokul , Amirthalingam Ramanan , Subha Fernando

Mode-based model-reduction is used to reduce the degrees of freedom of high dimensional systems, often by describing the system state by a linear combination of spatial modes. Transport dominated phenomena, ubiquitous in technical and…

Numerical Analysis · Mathematics 2020-02-28 Julius Reiss