Tootfinder

Probabilistic Trajectory GOSPA: A Metric for Uncertainty-Aware Multi-Object Tracking Performance Evaluation
Yuxuan Xia, \'Angel F. Garc\'ia-Fern\'andez, Johan Karlsson, Yu Ge, Lennart Svensson, Ting Yuan
https://arxiv.org/abs/2506.15148

Probabilistic Trajectory GOSPA: A Metric for Uncertainty-Aware Multi-Object Tracking Performance Evaluation
This paper presents a generalization of the trajectory general optimal sub-pattern assignment (GOSPA) metric for evaluating multi-object tracking algorithms that provide trajectory estimates with track-level uncertainties. This metric builds on the recently introduced probabilistic GOSPA metric to account for both the existence and state estimation uncertainties of individual object states. Similar to trajectory GOSPA (TGOSPA), it can be formulated as a multidimensional assignment problem, and …

Polynomial Eigenfunctions and Matrix Lyapunov Equations from Energy Balance Integrals
Netzer Moriya
https://arxiv.org/abs/2506.15288 https://

Polynomial Eigenfunctions and Matrix Lyapunov Equations from Energy Balance Integrals
We establish a unified theoretical framework that connects classical orthogonal polynomial systems to matrix Lyapunov equations through the fundamental physics of energy dissipation in stochastic dynamical systems. Starting from the energy balance principle in infinite-dimensional Hilbert spaces, we derive a master integral representation that naturally encompasses both spectral geometry and covariance dynamics. The theory reveals that established orthogonal polynomials (Zernike, Hermite, spher…

Discrimination of metric theories
F. J. Lobo, M. Rivera-Tapia, G. Rubilar, O. Jim\'enez, A. Delgado
https://arxiv.org/abs/2506.12243 https://

Discrimination of metric theories
We study the possibility of discriminating between metric theories within the Parametrized Post-Newtonian formalism. In this approach, the two-dimensional quantum state of a massive quantum clock becomes, after propagating at low speed and in a weak gravitational field, a function of the post-Newtonian parameters and thus a signature of a metric theory. To discriminate among metric theories, we resort to quantum-state discrimination strategies such as minimum error and unambiguous state discrim…

"Plastic-Recycling Enzyme Discovered in Compost Heap Close to Commercialization Through German Startup"
#Plastic #Plastics #Germany

Plastic-Recycling Enzyme Discovered in Compost Heap Close to Commercialization Through German Startup
If successful, their 2030 plan will be four 350 cubic-meter reactors capable of processing 45,000 metric tons of PET plastic every year.

Replaced article(s) found for cs.SE. https://arxiv.org/list/cs.SE/new
[1/1]:
- Predicting the Understandability of Computational Notebooks through Code Metrics Analysis
Ghahfarokhi, Asadi, Asgari, Mohammadi, Heydarnoori, Rizi

Mario Kart World: completed!
Hah. As if. And yet, I've seen the credits, unlocked the special cup, and have gold trophies displayed for all grands prix and knockout tours. This was done on the medium difficulty. By all my usual metrics, I've completed the game. But Mario Kart's not like that, and Mario Kart World is doubly not like that. The real game in Mario Kart appears at 150cc, the hardest difficulty level, when not only does your kart travel faster (to the extent…

Private Continual Counting of Unbounded Streams
Ben Jacobsen, Kassem Fawaz
https://arxiv.org/abs/2506.15018 https://arxiv.org/pdf/250…

Private Continual Counting of Unbounded Streams
We study the problem of differentially private continual counting in the unbounded setting where the input size $n$ is not known in advance. Current state-of-the-art algorithms based on optimal instantiations of the matrix mechanism cannot be directly applied here because their privacy guarantees only hold when key parameters are tuned to $n$. Using the common `doubling trick' avoids knowledge of $n$ but leads to suboptimal and non-smooth error. We solve this problem by introducing novel matrix…

Examples of complete Calabi--Yau metrics on affine smoothings of irregular toric Calabi--Yau cones
Ronan J. Conlon, Tran-Trung Nghiem
https://arxiv.org/abs/2506.14118

Examples of complete Calabi--Yau metrics on affine smoothings of irregular toric Calabi--Yau cones
We present new examples of affine Calabi--Yau manifolds of Euclidean volume growth and quadratic curvature decay, whose tangent cones at infinity are irregular and have smooth links. In the process, we demonstrate (and provide the relevant computer code) how to explicitly compute the Reeb field and all Minkowski decompositions of a given toric Calabi--Yau cone with smooth link from the data of its toric polytope. Minkowski decompositions of this polytope into lattice segments and/or triangles g…

Oriented hypergraphs and generalizing the Harary-Sachs theorem to integer matrices
Blake Dvarishkis, Josephine Reynes, Lucas J. Rusnak
https://arxiv.org/abs/2506.12271

Oriented hypergraphs and generalizing the Harary-Sachs theorem to integer matrices
Incidence-based generalizations of cycle covers, called contributors, extend the Harary-Sachs coefficient theorem for characteristic polynomials of the adjacency matrix of graphs. All minors of the Laplacian resulting from an integer matrix are characterized using their associated oriented hypergraph through a new minimal collection of contributors to produce the coefficients of the total-minor polynomial. We prove that the natural grouping of contributors via tail-equivalence is necessarily ca…

I've read now through the "Streets for kids" #cityranking report: https://cleancitiescampaign.org/city-ranking-2025/

Streets for Kids, Cities for All: City Ranking 2025
We've analysed 36 European cities to see how they’re progressing in creating transport systems that prioritise the needs of children.