arXiv research

Reinforcement learning improves wireless systems' rate adaptation.

ANIL adapts only a subset of parameters, reducing computational cost.

Two adaptive kernel selection methods improve the accuracy of Kernelized Diffusion Maps.

PDA method optimizes neural networks with global convergence rate analysis.

We consider the existence of bibundles, in other words locally trivial principal $G$ spaces with commuting left and right $G$ actions. We show that their existence is closely related to the structure of the group $\Out(G)$ of outer automorphisms of $G$. We also develop a classifying theory for bibundles. The theory is …

A new method for efficient nested Monte Carlo simulations in financial modeling.

Loopless SVRG and Katyusha methods outperform their counterparts in practical applications.

Study convexity of geodesics and balls in Outer space.

New optimization problem for graph and hypergraph learning tasks.

RSGDA improves convergence rates for nonconvex-strongly concave optimization.

Study shows infinite distinct outer metric Lipschitz classes for knots in $S^3$.

NeAda solves nonconvex minimax optimization by balancing primal and dual variables adaptively.

A graph G is intrinsically S^1-linked if for every embedding of the vertices of G into S^1, vertices that form the endpoints of two disjoint edges in G form a non-split link in the embedding. We show that a graph is intrinsically S^1-linked if and only if it is not outer-planar. A graph is outer-flat if it can be embed…

Efficient hybrid method for pricing barrier options with stochastic volatility.

Meta-learning curiosity algorithms improves exploration across various tasks.

New geometric methods solve a conjecture for hyperbolic 3-manifolds.

The purpose of this note is to announce complete answers to the following questions. (1) For an essential simple loop on a 2-bridge sphere in a 2-bridge link complement, when is it null-homotopic in the link complement? (2) For two distinct essential simple loops on a 2-bridge sphere in a 2-bridge link complement, when…

Designs a Cellular Automata rule for forming touching loop patterns.

We give a complete characterization of those essential simple loops on 2-bridge spheres of 2-bridge links which are null-homotopic in the link complements. By using this result, we describe all upper-meridian-pair-preserving epimorphisms between 2-bridge link groups.

In this paper and its prequel, we give a necessary and sufficient condition for two essential simple loops on a 2-bridge sphere in an even Heckoid orbifold for a 2-bridge link to be homotopic in the orbifold. We also give a necessary and sufficient condition for an essential simple loop on a 2-bridge sphere in an even …

In this paper and its sequel, we give a necessary and sufficient condition for two essential simple loops on a 2-bridge sphere in an even Heckoid orbifold for a 2-bridge link to be homotopic in the orbifold. We also give a necessary and sufficient condition for an essential simple loop on a 2-bridge sphere in an even H…

Introduces string structures linking to loop spaces.

We solve the Plateau problem for marginally outer trapped surfaces in general Cauchy data sets. We employ the Perron method and tools from geometric measure theory to force and control a blow-up of Jang's equation. Substantial new geometric insights regarding the lower order properties of marginally outer trapped surfa…

End-to-end meta-learned system for image compression.

This work analyzes how often to update the target network in Q-learning.

In this paper and its two sequels, we give a necessary and sufficient condition for two essential simple loops on a 2-bridge sphere in a 2-bridge link complement to be homotopic in the link complement. This paper treats the case when the 2-bridge link is a $(2,p)$-torus link, where more cases of homotopy arise, and its…

This paper analyzes the impact of loops on bilevel optimization efficiency.

Superconducting circuit technologies have recently achieved quantum protocols involving closed feedback loops. Quantum artificial intelligence and quantum machine learning are emerging fields inside quantum technologies which may enable quantum devices to acquire information from the outer world and improve themselves …

Paper improves SDR estimation speed and conditions.

Study loop ensembles on graphs, linking group theory and topology.

Paper studies geometric and combinatorial properties of circular snakes.

Develops new methods to evaluate data influence in SAM for improved model training.

This is the second of a series of papers which give a necessary and sufficient condition for two essential simple loops on a 2-bridge sphere in a 2-bridge link complement to be homotopic in the link complement. The first paper of the series treated the case of the 2-bridge torus links. In this paper, we treat the case …

Formula for transgressions on polyhedral manifolds, linking face volumes and outer angles.

We derive integral and sup-estimates for the curvature of stably marginally outer trapped surfaces in a sliced space-time. The estimates bound the shear of a marginally outer trapped surface in terms of the intrinsic and extrinsic curvature of a slice containing the surface. These estimates are well adapted to situatio…

In classical knot theory, Markov's theorem gives a way of describing all braids with isotopic closures as links in $\mathbb{R}^3$. We present a version of Markov's theorem for extended loop braids with closure in $B^3 \times S^1$, as a first step towards a Markov's theorem for extended loop braids and ribbon torus-link…

Study links between surface germs and knot theory in 4D.

Develops implicit MAML for efficient few-shot learning.

Simplicial versions of topological abelian gauge theories are constructed which reproduce the continuum expressions for the partition function and Wilson expectation value of linked loops, expressible in terms of R-torsion and linking numbers respectively. The new feature which makes this possible is the introduction o…

New invariant detects non-homeomorphic arrangements with similar coefficients.

In this paper, we present a unified study of the moduli space of tropical curves and Outer space which we link via period maps to the moduli space of tropical abelian varieties and the space of positive definite quadratic forms. Our work is a first step towards exhibiting Outer space and the space of positive definite …

QuantAgent learns trading signals through self-improvement.

This is the last of a series of papers which give a necessary and sufficient condition for two essential simple loops on a 2-bridge sphere in a 2-bridge link complement to be homotopic in the link complement. The first paper of the series treated the case of the 2-bridge torus links, and the second paper treated the ca…

Defines different ways to describe knotted loops.

Homology of torus knots stabilizes to loop space homology.

Study Brownian loops on hyperbolic surfaces, linking to Selberg zeta function.

We study the 2-loop part of the rational Kontsevich integral of a knot in an integer homology sphere. We give a general formula which explains how the 2-loop part of the Kontsevich integral of a knot changes after surgery on a single clasper whose leaves are not linked to the knot. As an application, we relate this for…

The total homology of the loop space of the configuration space of ordered distinct n points in R^m has a structure of a Hopf algebra defined by the 4-term relations if m>2. We describe a relation of between the cohomology of this loop space and the set of finite type invariants for the pure braid group with n strands.…