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.
Flat systems of up to 2 dimensions have flat subsystems.
Study reveals dynamic causal relationships between Ethereum transaction fees and economic subsystems.
Many systems of interest in science and engineering are made up of interacting subsystems. These subsystems, in turn, could be made up of collections of smaller interacting subsystems and so on. In a series of papers David Spivak with collaborators formalized these kinds of structures (systems of systems) as algebras o…
Machine learning predicts Mars Express spacecraft's thermal power consumption.
The problem of optimal switching between nonlinear autonomous subsystems is investigated in this study where the objective is not only bringing the states to close to the desired point, but also adjusting the switching pattern, in the sense of penalizing switching occurrences and assigning different preferences to util…
Federated learning interprets temporal dynamics across clients with graph attention.
Quantum states model sequences, revealing complementary system information.
Redundancy in AI perception systems doesn't guarantee independent error occurrences.
Framework predicts remaining useful life of DSH subsystems under unknown failure modes.
The paper studies time-optimal problems on specific Lie groups, describing orbits and integrals.
In this paper, we determine the partial positivity(resp., negativity) of the curvature of all irreducible Riemannian symmetric spaces. From the classifications of abstract root systems and maximal subsystems, we can give the calculations for symmetric spaces both in classical types and in exceptional types.
This paper measures temperature in agent systems using volatility.
We analyze the Ricci flow of a noncompact metric that describes a two-dimensional black hole. We consider entanglement entropy of a 2d black hole which is due to the quantum correlations between two subsystems: one is inside and the other is outside the black hole horizon. It is demonstrated that the entanglement entro…
The homogeneous canonical formalism of Rund is applied to the second-order Lagrangian model of the self-interacting particle of Bopp. The quasi-classical free spinning particle of Mathisson appears then as a constrained subsystem of the previous system. Differential-geometric mechanisms offered in this work are formula…
New definitions of ESP for quantum reservoir computing handle non-stationary systems.
Paper develops a new fluid flow model with energy exchange through boundaries.
Study local models for special Kähler metrics near discriminant locus components.
Decomposes flat nonlinear discrete-time systems into simpler components.
One can formulate the classical Kepler problem on the Heisenberg group, the simplest sub-Riemannian manifold. We take the sub-Riemannian Hamiltonian as our kinetic energy, and our potential is the fundamental solution to the Heisenberg sub-Laplacian. The resulting dynamical system is known to contain a fundamental inte…
Integrable systems and Kähler metrics linked via spectral curves.
Definition of frustration is expressed by transitivity of binary entanglement relation in considered complex system. Extending this definition into n-ary relation a hierarchy of frustrations is derived. As a complex system the U.S. Intermarket is chosen where the correlation coefficient of intermarket sectors plays the…
One approach to monitoring a dynamic system relies on decomposition of the system into weakly interacting subsystems. An earlier paper introduced a notion of weak interaction called separability, and showed that it leads to exact propagation of marginals for prediction. This paper addresses two questions left open by t…
The inverse problem of the calculus of variations asks whether a given system of partial differential equations (PDEs) admits a variational formulation. We show that the existence of a presymplectic form in the variational bicomplex, when horizontally closed on solutions, allows us to construct a variational formulatio…
We extend our previous classification of superpotentials of ``scalar curvature type" for the cohomogeneity one Ricci-flat equations. We now consider the case not covered in our previous paper, i.e., when some weight vector of the superpotential lies outside (a scaled translate of) the convex hull of the weight vectors …
When the Poincaré map associated with a periodic orbit of a hybrid dynamical system has constant-rank iterates, we demonstrate the existence of a constant-dimensional invariant subsystem near the orbit which attracts all nearby trajectories in finite time. This result shows that the long-term behavior of a hybrid model…
Model captures neural activity related to behavior while separating internal computations.
New approach estimates vehicle and component prices without teardowns.
New method estimates spin system mutual information using neural networks.
Study builds complex network from multimodal physiological data.
A recent proposal by Ryu and Takayanagi for a holographic interpretation of entanglement entropy in conformal field theories dual to supergravity on anti-de Sitter (adS) is generalized to include entanglement entropy of black holes living on the boundary of adS. The generalized proposal is verified in boundary dimensio…
We use the conformal invariance and the holographic correspondence to fully specify the dependence of entanglement entropy on the extrinsic geometry of the 2d surface that separates two subsystems of quantum strongly coupled SU(N) superconformal gauge theory. We extend this result and calculate en…
This paper examines probabilistic sampling weighted by uncertainty in active learning.
We associate a root system to a finite set in a free abelian group and prove that its irreducible subsystem is of type A, B or D. We apply this general result to a torus manifold, where a torus manifold is a -dimensional connected closed smooth manifold with a smooth effective action of an -dimensional compact t…
Paper presents a new dataset for testing causal discovery methods in industrial systems.
The behaviour of many real-world phenomena can be modelled by nonlinear dynamical systems whereby a latent system state is observed through a filter. We are interested in interacting subsystems of this form, which we model by a set of coupled maps as a synchronous update graph dynamical systems. Specifically, we study …
Consider an immersed Legendrian surface in the five dimensional complex projective space equipped with the standard homogeneous contact structure. We introduce a class of fourth order projective Legendrian deformation called \emph{-deformation}, and give a differential geometric characterization of surfaces admitt…
Paper reviews ranking systems in multi-layered architectures.
Reduces nonlinear electromechanical dynamics through quasi-steady state hypothesis.
Tensor networks reveal limitations for efficient text description but suggest potential for images.
Study MMD for critical transitions in fast-slow systems, showing it's a good binary classifier.
We describe a class (called regular) of invariant generalized complex structures on a real semisimple Lie group G. The problem reduces to the description of admissible pairs (\gk, ω), where \gk is an appropriate regular subalgebra of the complex Lie algebra \gg^{C} associated to G and ωis a closed 2-form on \gk, such t…
Introduces R-SSM for modeling multi-object dynamics with GNNs and normalizing flows.
PyTorch combines usability and speed in deep learning.
The automorphisms of a two-generator free group acting on the space of orientation-preserving isometric actions of on hyperbolic 3-space defines a dynamical system. Those actions which preserve a hyperbolic plane but not an orientation on that plane is an invariant subsystem, which reduces to an action on R^3 by polyno…
CMS uses machine learning to improve particle flow reconstruction.
Zero-energy orbits in the Kepler-Heisenberg problem are self-similar and stratify into three families.
Computer program finds flower-like periodic orbits in Kepler-Heisenberg problem.
A new metriplectic system on contact manifolds is introduced for thermodynamic consistency.