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Smooth convex minimization over the unit trace-norm ball is an important optimization problem in machine learning, signal processing, statistics and other fields, that underlies many tasks in which one wishes to recover a low-rank matrix…

Optimization and Control · Mathematics 2020-12-01 Dan Garber

We revisit the estimation of higher order corrections to the angular power spectra of weak gravitational lensing. Extending a previous calculation of Cooray and Hu, we find two additional terms to the fourth order in potential perturbations…

Astrophysics · Physics 2011-05-12 Charles Shapiro , Asantha Cooray

Trajectory similarity measures act as query predicates in trajectory databases, making them the key player in determining the query results. They also have a heavy impact on the query efficiency. An ideal measure should have the capability…

Databases · Computer Science 2023-02-21 Yanchuan Chang , Jianzhong Qi , Yuxuan Liang , Egemen Tanin

Dynamical low-rank approximation by tree tensor networks is studied for the data-sparse approximation to large time-dependent data tensors and unknown solutions of tensor differential equations. A time integration method for tree tensor…

Numerical Analysis · Mathematics 2020-08-24 Gianluca Ceruti , Christian Lubich , Hanna Walach

Telescope arrays are receiving increasing attention due to their promise of higher resource utilization, greater sky survey area, and higher frequency of full space-time monitoring than single telescopes. Compared with the ordinary…

Instrumentation and Methods for Astrophysics · Physics 2023-02-07 Yajie Zhang , Ce Yu , Chao Sun , Zhaohui Shang , Yi Hu , Huiyu Zhi , Jinmao Yang , Shanjiang Tang

Extrapolations in Euclidean time form a central part of Nuclear Lattice Effective Field Theory (NLEFT) calculations using the Projection Monte Carlo method, as the sign problem in many cases prevents simulations at large Euclidean time. We…

Nuclear Theory · Physics 2015-06-23 Timo A. Lähde , Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner , Gautam Rupak

Cosmological analyses of second-order weak lensing statistics require precise and accurate covariance estimates. These covariances are impacted by two sometimes neglected terms: A negative contribution to the Gaussian covariance due to…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-04 Laila Linke , Pierre A. Burger , Sven Heydenreich , Lucas Porth , Peter Schneider

The vast majority of Dimensionality Reduction (DR) techniques rely on second-order statistics to define their optimization objective. Even though this provides adequate results in most cases, it comes with several shortcomings. The methods…

Computer Vision and Pattern Recognition · Computer Science 2017-08-21 Nikolaos Passalis , Anastasios Tefas

In applications of climate information, coarse-resolution climate projections commonly need to be downscaled to a finer grid. One challenge of this requirement is the modeling of sub-grid variability and the spatial and temporal dependence…

Recent works in multiple object tracking use sequence model to calculate the similarity score between the detections and the previous tracklets. However, the forced exposure to ground-truth in the training stage leads to the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-06 Tao Hu , Lichao Huang , Han Shen

In many mobile robotics scenarios, such as drone racing, the goal is to generate a trajectory that passes through multiple waypoints in minimal time. This problem is referred to as time-optimal planning. State-of-the-art approaches either…

Robotics · Computer Science 2020-08-04 Philipp Foehn , Davide Scaramuzza

This article details a general numerical framework to approximate so-lutions to linear programs related to optimal transport. The general idea is to introduce an entropic regularization of the initial linear program. This regularized…

Numerical Analysis · Mathematics 2014-12-17 Jean-David Benamou , Guillaume Carlier , Marco Cuturi , Luca Nenna , Gabriel Peyré

We consider the general class of theories in which there is a new ultralight scalar field that mediates an equivalence principle violating, long-range force. In such a framework, the sun and the earth act as sources of the scalar field,…

High Energy Physics - Phenomenology · Physics 2022-12-07 Dawid Brzeminski , Zackaria Chacko , Abhish Dev , Ina Flood , Anson Hook

This paper presents a projection-based technique to mitigate the impact of modeling errors related to domain truncation, changes in the optode coupling coefficients, and misspecified optical parameters of different tissue types in diffuse…

Numerical Analysis · Mathematics 2026-04-30 Aada Hakula , Pauliina Hirvi , Nuutti Hyvönen , Altti Jääskeläinen , Ville Kolehmainen

We develop new perturbative tools to accurately study radiatively-induced first-order phase transitions. Previous perturbative methods have suffered internal inconsistencies and been unsuccessful in reproducing lattice data, which is often…

High Energy Physics - Phenomenology · Physics 2024-06-12 Andreas Ekstedt , Oliver Gould , Johan Löfgren

The small angle approximation often fails to explain experimental data, does not even predict if a plane pendulum's period increases or decreases with increasing amplitude. We make a perturbation ansatz for the Conserved Energy Surfaces of…

Classical Physics · Physics 2017-02-07 Bradley Klee

Anomaly detection on time series data is increasingly common across various industrial domains that monitor metrics in order to prevent potential accidents and economic losses. However, a scarcity of labeled data and ambiguous definitions…

Machine Learning · Computer Science 2022-12-29 Lawrence Wong , Dongyu Liu , Laure Berti-Equille , Sarah Alnegheimish , Kalyan Veeramachaneni

Accurate and reliable energy time series prediction is of great significance for power generation planning and allocation. At present, deep learning time series prediction has become the mainstream method. However, the multi-scale time…

Machine Learning · Computer Science 2025-08-08 Wei Li , Zixin Wang , Qizheng Sun , Qixiang Gao , Fenglei Yang

The difference between a model forecast and actual observations is called forecast bias. This bias is due to either incomplete model assumptions and/or poorly known parameter values and initial/boundary conditions. In this paper we discuss…

Computational Engineering, Finance, and Science · Computer Science 2010-11-09 Sean Crowell , S. Lakshmivarahan

The unsupervised pretraining of object detectors has recently become a key component of object detector training, as it leads to improved performance and faster convergence during the supervised fine-tuning stage. Existing unsupervised…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Ioannis Maniadis Metaxas , Adrian Bulat , Ioannis Patras , Brais Martinez , Georgios Tzimiropoulos