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Conformal prediction is a popular framework of uncertainty quantification that constructs prediction sets with coverage guarantees. To uphold the exchangeability assumption, many conformal prediction methods necessitate an additional…

Machine Learning · Computer Science 2025-07-11 Hao Zeng , Kangdao Liu , Bingyi Jing , Hongxin Wei

We consider testing the equality of two high-dimensional covariance matrices by carrying out a multi-level thresholding procedure, which is designed to detect sparse and faint differences between the covariances. A novel U-statistic…

Statistics Theory · Mathematics 2019-10-30 Song Xi Chen , Bin Guo , Yumou Qiu

Understanding the global organization of complicated and high dimensional data is of primary interest for many branches of applied sciences. It is typically achieved by applying dimensionality reduction techniques mapping the considered…

Computational Geometry · Computer Science 2024-11-11 Paweł Dłotko , Davide Gurnari , Mathis Hallier , Anna Jurek-Loughrey

In this paper, we propose a new global geometry constraint for depth completion. By assuming depth maps often lay on low dimensional subspaces, a dense depth map can be approximated by a weighted sum of full-resolution principal depth…

Computer Vision and Pattern Recognition · Computer Science 2020-12-03 Yiran Zhong , Yuchao Dai , Hongdong Li

Modern supervised machine learning algorithms involve hyperparameters that have to be set before running them. Options for setting hyperparameters are default values from the software package, manual configuration by the user or configuring…

Machine Learning · Statistics 2018-10-23 Philipp Probst , Bernd Bischl , Anne-Laure Boulesteix

To analyze nonlinear dynamic systems, we developed a new technique based on the square matrix method. We propose this technique called the \convergence map" for generating particle stability diagrams similar to the frequency maps widely…

Accelerator Physics · Physics 2023-06-07 Li Hua Yu , Yoshiteru Hidaka , Victor Smaluk

The linear programming (LP) approach is, together with value iteration and policy iteration, one of the three fundamental methods to solve optimal control problems in a dynamic programming setting. Despite its simple formulation,…

Systems and Control · Electrical Eng. & Systems 2023-10-31 Lucia Falconi , Andrea Martinelli , John Lygeros

Cartograms depict geographic regions with areas proportional to quantitative data. However, when created using density-equalizing map projections, cartograms may exhibit invalid topologies if boundary polygons are drawn using only a finite…

Computational Geometry · Computer Science 2026-01-21 Nihal Z. Miaji , Adi Singhania , Matthias E. Goh , Callista Le , Atima Tharatipyakul , Michael T. Gastner

Advanced driver assistance systems have improved comfort, safety, and efficiency of modern vehicles. However, sensor limitations lead to noisy lane estimates that pose a significant challenge in developing performant control architectures.…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Leon Greiser , Christian Rathgeber , Vladislav Nenchev , Sören Hohmann

The failure of roughness parameters to predict surface properties stems from their inherent scale-dependence; in other words, the measured value depends on the way it was measured. Here we take advantage of this scale-dependence to develop…

Materials Science · Physics 2021-12-14 Antoine Sanner , Wolfram G. Nöhring , Luke A. Thimons , Tevis D. B. Jacobs , Lars Pastewka

We consider the issue of calibration in large language models (LLM). Recent studies have found that common interventions such as instruction tuning often result in poorly calibrated LLMs. Although calibration is well-explored in traditional…

Machine Learning · Computer Science 2024-06-28 Maohao Shen , Subhro Das , Kristjan Greenewald , Prasanna Sattigeri , Gregory Wornell , Soumya Ghosh

Heterogeneous computing, which combines devices with different architectures, is rising in popularity, and promises increased performance combined with reduced energy consumption. OpenCL has been proposed as a standard for programing such…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-15 Thomas L. Falch , Anne C. Elster

Charts provide visual representations of data and are widely used for analyzing information, addressing queries, and conveying insights to others. Various chart-related downstream tasks have emerged recently, such as question-answering and…

Computation and Language · Computer Science 2024-03-15 Ahmed Masry , Mehrad Shahmohammadi , Md Rizwan Parvez , Enamul Hoque , Shafiq Joty

The knowledge of capacitance in semiconductor micro-strip detectors is important for a correct design, simulation and understanding of the detectors. Analytical approaches can efficiently complement numerical methods providing quick results…

Instrumentation and Detectors · Physics 2010-02-18 Paolo Walter Cattaneo

Topological Data Analysis methods can be useful for classification and clustering tasks in many different fields as they can provide two dimensional persistence diagrams that summarize important information about the shape of potentially…

Quantum Physics · Physics 2024-09-02 Bernardo Ameneyro , Rebekah Herrman , George Siopsis , Vasileios Maroulas

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

This paper considers the problem of single image depth estimation. The employment of convolutional neural networks (CNNs) has recently brought about significant advancements in the research of this problem. However, most existing methods…

Computer Vision and Pattern Recognition · Computer Science 2018-09-25 Junjie Hu , Mete Ozay , Yan Zhang , Takayuki Okatani

In high-dimensional classification settings, we wish to seek a balance between high power and ensuring control over a desired loss function. In many settings, the points most likely to be misclassified are those who lie near the decision…

Machine Learning · Statistics 2017-06-06 Arun Srinivasan

Constraint satisfaction problems are computational problems that naturally appear in many areas of theoretical computer science. One of the central themes is their computational complexity, and in particular the border between…

Computational Complexity · Computer Science 2026-04-28 Manuel Bodirsky

Cylindrical algebraic decomposition(CAD) is a key tool in computational algebraic geometry, particularly for quantifier elimination over real-closed fields. When using CAD, there is often a choice for the ordering placed on the variables.…

Symbolic Computation · Computer Science 2014-07-15 Zongyan Huang , Matthew England , David Wilson , James H. Davenport , Lawrence C. Paulson , James Bridge
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