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In this note we compare the entropy principle and the objectivity arguments in the methodologies of Dunn and Serrin [1] and in the more recent weakly nonlocal thermodynamic analysis of Korteweg-type fluids in [2]. It is concluded that the…

Statistical Mechanics · Physics 2026-01-06 Peter Ván

Contraction analysis considers the distance between two adjacent trajectories. If this distance is contracting, then trajectories have the same long-term behavior. The main advantage of this analysis is that it is independent of the…

Dynamical Systems · Mathematics 2022-03-04 Peter Giesl , Sigurdur Hafstein , Christoph Kawan

To control the behavior of language models, steering methods attempt to ensure that outputs of the model satisfy specific pre-defined properties. Adding steering vectors to the model is a promising method of model control that is easier…

Machine Learning · Computer Science 2024-11-22 Sviatoslav Chalnev , Matthew Siu , Arthur Conmy

Visual tracking has advanced significantly in recent years, mainly due to the availability of large-scale training datasets. These datasets have enabled the development of numerous algorithms that can track objects with high accuracy and…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Xiaoyu Guo , Pengzhi Zhong , Lizhi Lin , Hao Zhang , Ling Huang , Shuiwang Li

We introduce a new observable to probe the collective nature of the radial expansion of the quark-gluon plasma. This observable, dubbed $v_{02}(p_T)$, represents the correlation of the spectrum with elliptic flow, in the same way as the…

Nuclear Theory · Physics 2025-07-22 Tribhuban Parida , Rupam Samanta , Jean-Yves Ollitrault

Let $f$ be a holomorphic endomorphism of $\mathbb P^k$ of degree $d.$ For each quasi-attractor of $f$ we construct a finite set of currents with attractive behaviors. To every such an attracting current is associated an equilibrium measure…

Dynamical Systems · Mathematics 2016-09-05 Johan Taflin

Reliable mathematical and scientific reasoning remains an open challenge for large vision-language models. Standard final-answer evaluation often masks reasoning errors, allowing silent failures to persist. To address this gap, we introduce…

Artificial Intelligence · Computer Science 2025-12-15 Shima Imani , Seungwhan Moon , Lambert Mathias , Lu Zhang , Babak Damavandi

We propose and validate a novel experimental technique to measure two-point statistics of turbulent flows. It consists in spreading rigid fibers in the flow and tracking their position and orientation in time and therefore been named…

Recently, a new measure of information called extropy has been introduced by Lad, Sanfilippo and Agr\`o as the dual version of Shannon entropy. In the literature, Tsallis introduced a measure for a discrete random variable, named Tsallis…

Probability · Mathematics 2021-09-30 Narayanaswamy Balakrishnan , Francesco Buono , Maria Longobardi

Trajectory representation learning (TRL) aims to encode raw trajectory data into low-dimensional embeddings for downstream tasks such as travel time estimation, mobility prediction, and trajectory similarity analysis. From a behavioral…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Ji Cao , Yu Wang , Tongya Zheng , Jie Song , Qinghong Guo , Zujie Ren , Canghong Jin , Gang Chen , Mingli Song

In this study, we propose a novel extended target tracking algorithm which is capable of representing the extent of dynamic objects as an ellipsoid with a time-varying orientation angle. A diagonal positive semi-definite matrix is defined…

Machine Learning · Statistics 2021-04-21 Barkın Tuncer , Emre Özkan

Trajectory generation and prediction are two interwoven tasks that play important roles in planner evaluation and decision making for intelligent vehicles. Most existing methods focus on one of the two and are optimized to directly output…

Robotics · Computer Science 2022-11-02 Ruochen Jiao , Xiangguo Liu , Bowen Zheng , Dave Liang , Qi Zhu

Density-ratio estimation via classification is a cornerstone of unsupervised learning. It has provided the foundation for state-of-the-art methods in representation learning and generative modelling, with the number of use-cases continuing…

Machine Learning · Statistics 2020-11-25 Benjamin Rhodes , Kai Xu , Michael U. Gutmann

One of the limitations of the commonly used Absolute Trajectory Error (ATE) is that it is highly sensitive to outliers. As a result, in the presence of just a few outliers, it often fails to reflect the varying accuracy as the inlier…

Robotics · Computer Science 2024-09-11 Seong Hun Lee , Javier Civera

Bearing-only Target Motion Analysis (TMA) is a promising technique for passive tracking in various applications as a bearing angle is easy to measure. Despite its advantages, bearing-only TMA is challenging due to the nonlinearity of the…

Robotics · Computer Science 2025-08-18 Lin Li , Xueming Liu , Zhoujingzi Qiu , Tianjiang Hu , Qingrui Zhang

Constructing valid and informative conformal prediction regions for multi-dimensional outputs remains a fundamental challenge. While conformal prediction provides finite-sample, distribution-free coverage guarantees, its practical…

Machine Learning · Statistics 2026-05-11 Zhenhan Fang , Aixin Tan , Jian Huang

Trajectory estimation of maneuvering objects is applied in numerous tasks like navigation, path planning and visual tracking. Many previous works get impressive results in the strictly controlled condition with accurate prior statistics and…

Information Theory · Computer Science 2020-07-02 Weipeng Li , Xiaogang Yang , Ruitao Lu , Jiwei Fan , Tao Zhang , Chuan He

Temporal causal representation learning methods assume that causal mechanisms switch instantaneously between discrete domains, yet real-world systems often exhibit continuous mechanism transitions. For example, a vehicle's dynamics evolve…

Machine Learning · Computer Science 2026-01-30 Shicheng Fan , Kun Zhang , Lu Cheng

Trajectories that capture object movement have numerous applications, in which similarity computation between trajectories often plays a key role. Traditionally, the similarity between two trajectories is quantified by means of heuristic…

Databases · Computer Science 2024-06-13 Yanchuan Chang , Egemen Tanin , Gao Cong , Christian S. Jensen , Jianzhong Qi

We consider conformal defects joining two conformal field theories along a line. We define two new quantities associated to such defects in terms of expectation values of the stress tensors and we propose them as measures of the…

High Energy Physics - Theory · Physics 2010-10-27 Thomas Quella , Ingo Runkel , Gerard M. T. Watts