Tootfinder

This https://arxiv.org/abs/2309.13285 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

Collision Avoidance and Navigation for a Quadrotor Swarm Using End-to-end Deep Reinforcement Learning
End-to-end deep reinforcement learning (DRL) for quadrotor control promises many benefits -- easy deployment, task generalization and real-time execution capability. Prior end-to-end DRL-based methods have showcased the ability to deploy learned controllers onto single quadrotors or quadrotor teams maneuvering in simple, obstacle-free environments. However, the addition of obstacles increases the number of possible interactions exponentially, thereby increasing the difficulty of training RL pol…

Oder sollte man sie #besetzen?
1 Mio. qm Büros stehen in Berlin leer.
"Dass in den nächsten drei Jahren weitere 1,5 Millionen Quadratmeter neue Büros fertiggestellt werden sollen, findet [Katalin Gennburg] „komplett verrückt und muss gestoppt werden.“"

This https://arxiv.org/abs/2207.10389 has been replaced.
link: https://scholar.google.com/scholar?q=a

Geometric quadratic Chabauty and $p$-adic heights
Let $X$ be a curve of genus $g>1$ over $\mathbb{Q}$ whose Jacobian $J$ has Mordell--Weil rank $r$ and Néron--Severi rank $ρ$. When $r < g+ ρ- 1$, the geometric quadratic Chabauty method determines a finite set of $p$-adic points containing the rational points of $X$. We describe algorithms for geometric quadratic Chabauty that translate the geometric quadratic Chabauty method into the language of $p$-adic heights and $p$-adic (Coleman) integrals. This translation also allows us to give a com…

Extracting quadratic propagators by refined graphic rule
Chongsi Xie, Yi-Jian Du
https://arxiv.org/abs/2403.03547 https://arxiv.org/p…

Extracting quadratic propagators by refined graphic rule
One-loop integrands in Cachazo-He-Yuan (CHY) formula, which is based on the forward limit of tree-level amplitudes, involves linear propagators that are different from quadratic ones in traditional Feynman diagrams. In this paper, we provide a general approach to converting linear propagators in one-loop CHY formula into quadratic propagators, by refined graphic rule stemming from the recursive expansion of tree-level Einstein-Yang-Mills amplitudes. We establish the correspondence between refin…

Data-Driven Superstabilizing Control under Quadratically-Bounded Errors-in-Variables Noise
Jared Miller, Tianyu Dai, Mario Sznaier
https://arxiv.org/abs/2403.03624

Data-Driven Superstabilizing Control under Quadratically-Bounded Errors-in-Variables Noise
The Error-in-Variables model of system identification/control involves nontrivial input and measurement corruption of observed data, resulting in generically nonconvex optimization problems. This paper performs full-state-feedback stabilizing control of all discrete-time linear systems that are consistent with observed data for which the input and measurement noise obey quadratic bounds. Instances of such quadratic bounds include elementwise norm bounds (at each time sample), energy bounds (acr…

Using finite automata to compute the base-$b$ representation of the golden ratio and other quadratic irrationals
Aaron Barnoff, Curtis Bright, Jeffrey Shallit
https://arxiv.org/abs/2405.02727

Using finite automata to compute the base-$b$ representation of the golden ratio and other quadratic irrationals
We show that the $n$'th digit of the base-$b$ representation of the golden ratio is a finite-state function of the Zeckendorf representation of $b^n$, and hence can be computed by a finite automaton. Similar results can be proven for any quadratic irrational. We use a satisfiability (SAT) solver to prove, in some cases, that the automata we construct are minimal.

This https://arxiv.org/abs/2212.03227 has been replaced.
link: https://scholar.google.com/scholar?q=a

The distribution of large quadratic character sums and applications
In this paper, we investigate the distribution of the maximum of character sums over the family of primitive quadratic characters attached to fundamental discriminants $|d|\leq x$. In particular, our work improves results of Montgomery and Vaughan, and gives strong evidence that the Omega result of Bateman and Chowla for quadratic character sums is optimal. We also obtain similar results for real characters with prime discriminants up to $x$, and deduce the interesting consequence tha…

Linear-Quadratic Mean Field Stackelberg Stochastic Differential Game with Partial Information and Common Noise
Yu Si, Jingtao Shi
https://arxiv.org/abs/2405.03102

Linear-Quadratic Mean Field Stackelberg Stochastic Differential Game with Partial Information and Common Noise
This paper is concerned with a linear-quadratic mean field Stackelberg stochastic differential game with partial information and common noise, which contains a leader and a large number of followers. To be specific, the followers face a large population Nash game after the leader first announces his strategy, while the leader will then optimize his own cost functional on consideration of the followers' reactions. The state equation of the leader and followers are both general stochastic differe…

This https://arxiv.org/abs/2212.03227 has been replaced.
link: https://scholar.google.com/scholar?q=a

The distribution of large quadratic character sums and applications
In this paper, we investigate the distribution of the maximum of character sums over the family of primitive quadratic characters attached to fundamental discriminants $|d|\leq x$. In particular, our work improves results of Montgomery and Vaughan, and gives strong evidence that the Omega result of Bateman and Chowla for quadratic character sums is optimal. We also obtain similar results for real characters with prime discriminants up to $x$, and deduce the interesting consequence tha…

Real-time solution of quadratic optimization problems with banded matrices and indicator variables
Andres Gomez, Shaoning Han, Leonardo Lozano
https://arxiv.org/abs/2405.03051

Real-time solution of quadratic optimization problems with banded matrices and indicator variables
We consider mixed-integer quadratic optimization problems with banded matrices and indicator variables. These problems arise pervasively in statistical inference problems with time-series data, where the banded matrix captures the temporal relationship of the underlying process. In particular, the problem studied arises in monitoring problems, where the decision-maker wants to detect changes or anomalies. We propose to solve these problems using decision diagrams. In particular we show how to e…