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Mapping complex input data into suitable lower dimensional manifolds is a common procedure in machine learning. This step is beneficial mainly for two reasons: (1) it reduces the data dimensionality and (2) it provides a new data…

机器学习 · 计算机科学 2018-11-28 Daniele Zambon , Lorenzo Livi , Cesare Alippi

Physiological activities can be manifested by the sensitive changes in facial imaging. While they are barely observable to our eyes, computer vision manners can, and the derived remote photoplethysmography (rPPG) has shown considerable…

计算机视觉与模式识别 · 计算机科学 2025-03-17 Hang Shao , Lei Luo , Jianjun Qian , Mengkai Yan , Shuo Chen , Jian Yang

Photoplethysmography (PPG) signals have become a key technology in many fields, such as medicine, well-being, or sports. Our work proposes a set of pipelines to extract remote PPG signals (rPPG) from the face robustly, reliably, and…

计算机视觉与模式识别 · 计算机科学 2023-05-08 Constantino Álvarez Casado , Miguel Bordallo López

We present a method to populate an unknown environment with models of previously seen objects, placed in a Euclidean reference frame that is inferred causally and on-line using monocular video along with inertial sensors. The system we…

计算机视觉与模式识别 · 计算机科学 2018-10-25 Xiaohan Fei , Stefano Soatto

Heartbeat rhythm and heart rate (HR) are important physiological parameters of the human body. This study presents an efficient multi-hierarchical spatio-temporal convolutional network that can quickly estimate remote physiological (rPPG)…

计算机视觉与模式识别 · 计算机科学 2023-04-24 Bin Li , Panpan Zhang , Jinye Peng , Hong Fu

Riemannian manifolds have been widely employed for video representations in visual classification tasks including video-based face recognition. The success mainly derives from learning a discriminant Riemannian metric which encodes the…

计算机视觉与模式识别 · 计算机科学 2017-01-10 Zhiwu Huang , Ruiping Wang , Shiguang Shan , Luc Van Gool , Xilin Chen

Imaging systems are represented as linear operators, and their singular value spectra describe the structure recoverable at the operator level. Building on an operator-based information-theoretic framework, this paper introduces a minimal…

信息论 · 计算机科学 2026-01-06 Charles Wood

When developing control laws for robotic systems, the principle factor when examining their performance is choosing inputs that allow smooth tracking to a reference input. In the context of robotic manipulation, this involves translating an…

机器人学 · 计算机科学 2026-04-02 Ethan Canzini , Simon Pope , Ashutosh Tiwari

This paper provides some first steps in developing empirical process theory for functions taking values in a vector space. Our main results provide bounds on the entropy of classes of smooth functions taking values in a Hilbert space, by…

统计理论 · 数学 2022-02-15 Junhyung Park , Krikamol Muandet

We present a framework to systematically address topological phases when finer partitionings of bands are taken into account, rather than only considering the two subspaces spanned by valence and conduction bands. Focusing on…

介观与纳米尺度物理 · 物理学 2020-09-18 Adrien Bouhon , Tomáš Bzdušek , Robert-Jan Slager

Despite the population of the noninvasive, economic, comfortable, and easy-to-install photoplethysmography (PPG), it is still lacking a mathematically rigorous and stable algorithm which is able to simultaneously extract from a…

神经元与认知 · 定量生物学 2017-09-05 Antonio Cicone , Hau-Tieng Wu

Wearable physiological monitors are ubiquitous, and photoplethysmography (PPG) is the standard low-cost sensor for measuring cardiac activity. Metrics such as inter-beat interval (IBI) and pulse-rate variability (PRV) -- core markers of…

其他计算机科学 · 计算机科学 2025-10-08 Yuna Watanabe , Natasha Yamane , Aarti Sathyanarayana , Varun Mishra , Matthew S. Goodwin

In a wide variety of fields, analysis of images involves defining a region and measuring its inherent properties. Such measurements include a region's surface area, curvature, volume, average gray and/or color scale, and so on. Furthermore,…

图像与视频处理 · 电气工程与系统科学 2022-12-20 Timothy L. Kline

Objective- Heart rate monitoring using wrist type Photoplethysmographic (PPG) signals is getting popularity because of construction simplicity and low cost of wearable devices. The task becomes very difficult due to the presence of various…

Pre-trained large foundation models play a central role in the recent surge of artificial intelligence, resulting in fine-tuned models with remarkable abilities when measured on benchmark datasets, standard exams, and applications. Due to…

计算机视觉与模式识别 · 计算机科学 2024-01-30 Shaeke Salman , Md Montasir Bin Shams , Xiuwen Liu

We demonstrate that multiple topological transitions can occur, with high-sensitivity, by continuous change of the geometry of a simple 2D dielectric-frame photonic crystal consisting of circular air-holes. By changing the radii of the…

光学 · 物理学 2018-03-01 Xuan Zhu , Hai-Xiao Wang , Changqing Xu , Yun Lai , Jian-Hua Jiang , Sajeev John

The space of graphs is often characterised by a non-trivial geometry, which complicates learning and inference in practical applications. A common approach is to use embedding techniques to represent graphs as points in a conventional…

机器学习 · 统计学 2024-03-26 Daniele Grattarola , Daniele Zambon , Cesare Alippi , Lorenzo Livi

Recent studies have actively employed persistent homology (PH), a topological data analysis technique, to analyze the topological information in time series data. Many successful studies have utilized graph representations of time series…

代数拓扑 · 数学 2025-12-15 Eunwoo Heo , Jae-Hun Jung

Embedding graphs in continous spaces is a key factor in designing and developing algorithms for automatic information extraction to be applied in diverse tasks (e.g., learning, inferring, predicting). The reliability of graph embeddings…

机器学习 · 计算机科学 2023-11-30 Andrea Marinoni , Pietro Lio' , Alessandro Barp , Christian Jutten , Mark Girolami

In this paper the space of images is considered as a Riemannian manifold using the metamorphosis approach, where the underlying Riemannian metric simultaneously measures the cost of image transport and intensity variation. A robust and…

数值分析 · 数学 2015-05-28 Benjamin Berkels , Alexander Effland , Martin Rumpf