A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Residual neural networks improve collision prediction in planetary simulations.
Bayesian deep learning predicts satellite collisions.
ML methods improve planetary science data analysis.
Machine learning improves planetary space physics by incorporating physical knowledge.
Explains planetary motion in a sub-Riemannian setting.
Bayesian neural network predicts planetary instability.
Planetary exploration missions with Mars rovers are complicated, which generally require elaborated task planning by human experts, from the path to take to the images to capture. NASA has been using this process to acquire over 22 million images from the planet Mars. In order to improve the degree of automation and th…
Study nonholonomic systems with collisions using variational principles.
We describe a new public-domain open-source simulator of an electronic financial exchange, and of the traders that interact with the exchange, which is a truly distributed and cloud-native system that been designed to run on widely available commercial cloud-computing services, and in which various components can be pl…
Paper analyzes dynamics of nonholonomic systems with collisions using variational techniques.
Model forecasts motor vehicle collision rates with high accuracy.
Machine learning competition predicts spacecraft collision risks.
Modular knots follow Chebotarev law from surgeries on hyperbolic fibered links.
The green area of economy is the key of healthy living. It is necessary to convene economic and ecologic framework to establish a market attentive to drastic reduction of emissions damaging our climate and landscapes in rural areas, to the protection of biological diversity of the planet, to stop producing nuclear wast…
New algorithms estimate and test collision probability with near-optimal sample complexity.
One approach to designing decision making logic for an aircraft collision avoidance system frames the problem as a Markov decision process and optimizes the system using dynamic programming. The resulting collision avoidance strategy can be represented as a numeric table. This methodology has been used in the developme…
No-collision maps improve manifold learning for image data.
Reduces necessary conditions for collision avoidance on curved spaces.
A new metric for uncertainty quantification using class collisions.
New algorithm for multi-player bandits with collision-dependent rewards.
The paper addresses the Multiplayer Multi-Armed Bandit (MMAB) problem, where decision makers or players collaborate to maximize their cumulative reward. When several players select the same arm, a collision occurs and no reward is collected on this arm. Players involved in a collision are informed about this collis…
Algorithm reduces regret in multi-player bandits with unknown collision rewards.
An important application of intelligent vehicles is advance detection of dangerous events such as collisions. This problem is framed as a problem of optimal alarm choice given predictive models for vehicle location and motion. Techniques for real-time collision detection are surveyed and grouped into three classes: ran…
A new algorithm RESYNC for defenders against malicious attackers in multi-player bandits.
The paper proposes an ensemble of convolution-based methods for fault detection in gearboxes.
New algorithms tackle adversarial multi-player bandits with forced-collision communication.
New strategy achieves optimal regret without communication or collisions in multi-player bandit.
Study shows how transformers classify symbols without naming them, proving a margin-versus-collision criterion.
We study multiplayer stochastic multi-armed bandit problems in which the players cannot communicate and if two or more players pull the same arm, a collision occurs and the involved players receive zero reward. We consider two feedback models: a model in which the players can observe whether a collision has occurred an…
The configuration manifold of a mechanical system consisting of two unconstrained rigid bodies in , , is a manifold with boundary (typically with singularities.) A complete description of the system requires boundary conditions that specify how orbits should be continued after collisions. A b…
The Kepler-Heisenberg problem is that of determining the motion of a planet around a sun in the Heisenberg group, thought of as a three-dimensional sub-Riemannian manifold. The sub-Riemannian Hamiltonian provides the kinetic energy, and the gravitational potential is given by the fundamental solution to the sub-Laplaci…
Study motion planning for points avoiding obstacles in a plane.
The decentralized stochastic multi-player multi-armed bandit (MP-MAB) problem, where the collision information is not available to the players, is studied in this paper. Building on the seminal work of Boursier and Perchet (2019), we propose error correction synchronization involving communication (EC-SIC), whose regre…
In this study we introduce a new technique for symbolic regression that guarantees global optimality. This is achieved by formulating a mixed integer non-linear program (MINLP) whose solution is a symbolic mathematical expression of minimum complexity that explains the observations. We demonstrate our approach by redis…
Centrality, as a geometrical property of the collision, is crucial for the physical interpretation of nucleus-nucleus and proton-nucleus experimental data. However, it cannot be directly accessed in event-by-event data analysis. Common methods for centrality estimation in A-A and p-A collisions usually rely on a single…
Recovering manifold geometry from geodesic intersections.
We consider the non-stochastic version of the (cooperative) multi-player multi-armed bandit problem. The model assumes no communication at all between the players, and furthermore when two (or more) players select the same action this results in a maximal loss. We prove the first -type regret guarantee for th…
New algorithm for multi-player bandits without needing lower bounds or scaling inversely.
Unified approach detects traffic conflicts across various interactions.
Rolling systems limit to billiard models with no-slip collisions.
Motion planning for robots of high degrees-of-freedom (DOFs) is an important problem in robotics with sampling-based methods in configuration space C as one popular solution. Recently, machine learning methods have been introduced into sampling-based motion planning methods, which train a classifier to distinguish coll…
This work examines the role of reinforcement learning in reducing the severity of on-road collisions by controlling velocity and steering in situations in which contact is imminent. We construct a model, given camera images as input, that is capable of learning and predicting the dynamics of obstacles, cars and pedestr…
Up to symmetries, the orbits of three equal masses under an inverse cube force with zero angular momentum and constant moment of inertia can be reparametrized as the geodesics of a complete, negatively curved metric on a pair of pants. The ends of the pants represent binary collisions. Here we will examine the visibili…
Stochastic approach improves neural network training for kinetic simulations.
Multipeakons are special solutions to the Camassa-Holm equation described by an integrable geodesic flow on a Riemannian manifold. We present a bi-Hamiltonian formulation of the system explicitly and write down formulae for the associated first integrals. Then we exploit the first integrals and present a novel approach…
Generalizes Landau-Ginzburg mirrors for Frobenius manifolds in Dynkin type A.
This work improves motion planning for quadcopters by learning and reasoning about controller performance.
This work optimizes signal estimation for sparse MRA with collision-free signals.