Improves LSTM performance by initializing states via manifold learning.
arXiv research
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New findings show that some knotted surfaces remain distinct even after many stabilizations.
Study of tangent spaces in diffeological spaces under Lie group actions.
We present a comprehensive classification of supersymmetric vacua of M-theory compactification on seven-dimensional manifolds with general four-form fluxes. We analyze the cases where the resulting four-dimensional vacua have N = 1,2,3,4 supersymmetry and the internal space allows for SU(2), SU(3) or G_2 structures. In…
Given a smooth non-trapping compact manifold with strictly con- vex boundary, we consider an inverse problem of reconstructing the manifold from the scattering data initiated from internal sources. This data consist of the exit directions of geodesics that are emaneted from interior points of the manifold. We show that…
The so-called Mom-structures on hyperbolic cusped 3-manifolds without boundary were introduced by Gabai, Meyerhoff, and Milley, and used by them to identify the smallest closed hyperbolic manifold. In this work we extend the notion of a Mom-structure to include the case of 3-manifolds with non-empty boundary that does …
Proves finiteness and holonomicity of skein modules for 3-manifolds.
Extended symmetries and anomalies in compactified 6d SCFTs on various internal manifolds.
6 pages, LaTeX, to appear in Proc. of International Conf. "Geometrization of Physics - II", Kazan, Russia, Oct 28 - Nov 2, 1995. Withdrawn
We describe the asymptotic behavior of minimal area submanifolds in product spacetimes of an asymptotically hyperbolic space times a compact internal manifold. In particular, we find that unlike the case of a minimal area submanifold just in an asymptotically hyperbolic space, the internal part of the boundary submanif…
Internal Lagrangians derived from variational principles.
Model predicts internal fraud in retail banking is cyclical and influenced by corruption.
We summarize our geometric and topological description of compact eight-manifolds which arise as internal spaces in flux compactifications of M-theory down to , under the assumption that the internal part of the supersymmetry generator is everywhere non-chiral. Specifying such a supersymmet…
We show that supersymmetric M-theory compactifications to three-dimensional Minkowski space-time preserving supersymmetry allow for a class of internal manifolds more general than the Calabi-Yau one, namely the class of locally conformally Kähler manifolds which locally carry a preferred Calabi-Yau stru…
New internal symmetry found for Lie pair algebra.
This thesis is divided into four chapters. The first chapter discusses the relationship between stacks on a site and groupoids internal to the site. It includes a rigorous proof of the folklore result that there is an equivalence between the bicategory of internal groupoids and the bicategory of geometric stacks. The s…
Examines international taxation's impact on Georgian businesses.
We characterize N=1 vacua of type II theories in terms of generalized complex structure on the internal manifold M. The structure group of T(M) + T*(M) being SU(3) x SU(3) implies the existence of two pure spinors Phi_1 and Phi_2. The conditions for preserving N=1 supersymmetry turn out to be simple generalizations of …
Optimized execution model using interbank and internal liquidity.
This study assesses how economic shocks affect the efficiency and robustness of international pesticide trade networks.
New stabilization methods for exotic surfaces in 4-manifolds.
We show that there are no smooth warped AdS solutions in 10- and 11-dimensional supergravities which preserve strictly more than 16 supersymmetries and have internal space a compact without boundary manifold.
The paper analyzes the latent geometry of generative diffusion models.
There are few papers about the international trade of flowers, so it is believed that this paper, with this topic, could be an important contribution to the international scientific community. It is intended to analyze if the international trade flowers tendencies and policies are adapted to the actual world global con…
Spain uses DEA to select international markets for exports.
Improved speech recognition model with better performance.
Introduces internal Lagrangians for differential equations and connects them to presymplectic structures.
This paper develops a non-Bayesian methodology to analyze the time-varying structure of international linkages and market efficiency in G7 countries. We consider a non-Bayesian time-varying vector autoregressive (TV-VAR) model, and apply it to estimate the joint degree of market efficiency in the sense of Fama (1970, 1…
IAs is well known, when D6 branes wrap a special lagrangian cycle on a non compact CY 3-fold in such a way that the internal string frame metric is Kahler there exists a dual description, which is given in terms of a purely geometrical eleven dimensional background with an internal metric of holonomy. It is also …
The study explores how different Grothendieck topologies and functors between categories preserve locality.
Investigates optimal strategies for market makers using internal liquidity.
Mathematical model predicts international trade and global economy dynamics.
Propose a model-independent axiomatic framework for derived skein theory.
Random feature maps improve forecasting with cheaper computation.
Study uses AI to predict changes in international public finances based on US markets.
Bilateral trade relationships in the international level between pairs of countries in the world give rise to the notion of the International Trade Network (ITN). This network has attracted the attention of network researchers as it serves as an excellent example of the weighted networks, the link weight being defined …
We introduce defects, with internal gauge symmetries, on a knot and Seifert surface to a knot into the combinatorial construction of finite gauge-group Dijkgraaf-Witten theory. The appropriate initial data for the construction are certain three object categories, with coefficients satisfying a partially degenerate cocy…
To meet the Basel II regulatory requirements for the Advanced Measurement Approaches in operational risk, the bank's internal model should make use of the internal data, relevant external data, scenario analysis and factors reflecting the business environment and internal control systems. One of the unresolved challeng…
Synthetic theory defines orbifolds as microlinear types with finite identifications.
This paper evaluates and validates cluster results using external and internal evaluation methods.
Paper predicts international trade flows using machine learning and factorization models.
Interpretation and diagnosis of machine learning models have gained renewed interest in recent years with breakthroughs in new approaches. We present Manifold, a framework that utilizes visual analysis techniques to support interpretation, debugging, and comparison of machine learning models in a more transparent and i…
Relates two types of skein algebras using explicit correspondences.
Trade finance history traced from medieval origins to modern markets.
New module constructs exotic surfaces in 4-manifolds.
Method determines latent dimensionality in international trade flows.
In this article, we investigate whether exchange rate risk is priced. We use a multivariate GARCH-in-Mean specification and test alternative conditional international CAPM versions. Our results support strongly the international asset-pricing model that includes exchange rate risk for both developed and emerging stock …
The study reveals the hierarchical structure of the international FOREX market using currency fluctuation distribution similarities.