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We introduce a method to determine if a certain capability helps to achieve an accurate model of given data. We view labels as being generated from the inputs by a program composed of subroutines with different capabilities, and we posit…

Machine Learning · Computer Science 2021-03-08 Ethan Perez , Douwe Kiela , Kyunghyun Cho

We propose a clustering-based approach for identifying coherent flow structures in continuous dynamical systems. We first treat a particle trajectory over a finite time interval as a high-dimensional data point and then cluster these data…

Dynamical Systems · Mathematics 2022-12-27 Wai Ming Chau , Shingyu Leung

Temporal action detection (TAD) is a fundamental video understanding task that aims to identify human actions and localize their temporal boundaries in videos. Although this field has achieved remarkable progress in recent years, further…

In the context of rapid urbanization, understanding the patterns of urban residents' activities and mobility is crucial for optimizing transportation systems and enhancing urban management efficiency. This study addresses the limitations of…

Applications · Statistics 2024-06-25 Nuoxian Huang , Yulin Wu

Softmax attention struggles with long contexts due to structural limitations: the strict sum-to-one constraint forces attention sinks on irrelevant tokens, and probability mass disperses as sequence lengths increase. We tackle these…

Machine Learning · Computer Science 2026-04-17 Xingyue Huang , Xueying Ding , Mingxuan Ju , Yozen Liu , Neil Shah , Tong Zhao

The goal of objective point cloud quality assessment (PCQA) research is to develop quantitative metrics that measure point cloud quality in a perceptually consistent manner. Merging the research of cognitive science and intuition of the…

Computer Vision and Pattern Recognition · Computer Science 2023-11-30 Yujie Zhang , Qi Yang , Yifei Zhou , Xiaozhong Xu , Le Yang , Yiling Xu

Interacting, self-propelled particles such as epithelial cells can dynamically self-organize into complex multicellular patterns, which are challenging to classify without a priori information. Classically, different phases and phase…

Quantitative Methods · Quantitative Biology 2021-01-19 Dhananjay Bhaskar , William Y. Zhang , Ian Y. Wong

So far, problems of intermittent fault (IF) detection and detectability have not been fully investigated in the multivariate statistics framework. The characteristics of IFs are small magnitudes and short durations, and consequently…

Systems and Control · Electrical Eng. & Systems 2020-08-10 Yinghong Zhao , Xiao He , Michael G. Pecht , Junfeng Zhang , Donghua Zhou

Topological Data Analysis (TDA) provides novel approaches that allow us to analyze the geometrical shapes and topological structures of a dataset. As one important application, TDA can be used for data visualization and dimension reduction.…

Machine Learning · Statistics 2022-06-06 Hengrui Luo , Alice Patania , Jisu Kim , Mikael Vejdemo-Johansson

Vehicle re-identification (ReID) in a large-scale camera network is important in public safety, traffic control, and security. However, due to the appearance ambiguities of vehicle, the previous appearance-based ReID methods often fail to…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Hye-Geun Kim , YouKyoung Na , Hae-Won Joe , Yong-Hyuk Moon , Yeong-Jun Cho

We explore the evolution of daily returns of four major US stock market indices during the technology crash of 2000, and the financial crisis of 2007-2009. Our methodology is based on topological data analysis (TDA). We use persistence…

Mathematical Finance · Quantitative Finance 2017-11-22 Marian Gidea , Yuri Katz

Quadratic discriminant analysis (QDA) is a standard tool for classification due to its simplicity and flexibility. Because the number of its parameters scales quadratically with the number of the variables, QDA is not practical, however,…

Methodology · Statistics 2018-09-06 Binyan Jiang , Xiangyu Wang , Chenlei Leng

Time series anomaly detection plays a crucial role in a wide range of real-world applications. Given that time series data can exhibit different patterns at different sampling granularities, multi-scale modeling has proven beneficial for…

Machine Learning · Computer Science 2025-10-15 Beibu Li , Qichao Shentu , Yang Shu , Hui Zhang , Ming Li , Ning Jin , Bin Yang , Chenjuan Guo

In diagnostic test accuracy meta-analysis (DTA-MA), standard inference methods using bivariate random-effects models for jointly synthesizing sensitivity and specificity can be sensitive to outlying studies and may yield misleading…

Methodology · Statistics 2026-05-01 Kotaro Sasaki , Hisashi Noma , Theodoros Evrenoglou

Discovering patterns and detecting anomalies in individual travel behavior is a crucial problem in both research and practice. In this paper, we address this problem by building a probabilistic framework to model individual spatiotemporal…

Social and Information Networks · Computer Science 2021-06-15 Lijun Sun , Xinyu Chen , Zhaocheng He , Luis F. Miranda-Moreno

Accurately measuring the atmospheric coherence time is still an important problem despite a variety of applicable methods. The Multi-aperture scintillation sensor (MASS) designed for the vertical profiling of optical turbulence, also…

Instrumentation and Methods for Astrophysics · Physics 2015-05-27 Victor Kornilov

In many applications of vehicle routing, a set of time windows are feasible for each visit, giving rise to the Vehicle Routing Problem with Multiple Time Windows (VRPMTW). We argue that such disjunctions are problematic for many solution…

Optimization and Control · Mathematics 2019-05-13 Rune Larsen , Dario Pacino

As an important clean and renewable kind of energy, wind power plays an important role in coping with energy crisis and environmental pollution. However, the volatility and intermittency of wind speed restrict the development of wind power.…

Machine Learning · Computer Science 2024-04-23 Haojian Huang

Topological data analysis is an approach to study shape of a data set by means of topology. Its main object of study is the persistence diagram, which represents the topological features of the data set at different spatial resolutions.…

Algebraic Topology · Mathematics 2025-11-05 Azmeer Nordin , Mohd Salmi Md Noorani , Nurulkamal Masseran , Mohd Sabri Ismail , Nur Firyal Roslan

Observability can determine which recorded variables of a given system are optimal for discriminating its different states. Quantifying observability requires knowledge of the equations governing the dynamics. These equations are often…

Adaptation and Self-Organizing Systems · Physics 2020-10-28 Christopher E. Gonzalez , Claudia Lainscsek , Terrence J. Sejnowski , Christophe Letellier
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