Simple math predicts growth trends.
problem Complex growth projections are hard to understand.
method Direct or indirect analysis of growth rates.
result Simple assumptions lead to understandable growth predictions.
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48 results for “growth projections”
Study projection in acylindrically hyperbolic groups, proving sublinear tracking and growth bounds.
problem Projection phenomena in acylindrically hyperbolic groups.
method Analyzing shortest projections in word metrics and hyperbolic spaces.
result Sublinear tracking of shortest projections and effective growth bounds.
Study counts geodesics on special projective planes, finding a noninteger growth rate.
problem Counting geodesics on specific projective planes with removed points.
method Proved true asymptotic formula for geodesics of length ≤ L, independent of hyperbolic structure.
result Growth exponent is noninteger, contrasting with results for orientable surfaces.
Study Hilbert's projective metric for bounded growth functions leading to Sinkhorn's algorithm convergence.
problem Optimal transport in unbounded settings with heavy-tailed distributions.
method Hilbert's projective metric for integrable functions of bounded growth, kernel integral operators as contractions.
result Exponential convergence of Sinkhorn's algorithm for light-tailed marginal distributions.
For transversely homogeneous foliations on compact manifolds whose global holonomy group has connected closure, it is shown that either all holonomy covers of the leaves have polynomial growth with degree bounded by a common constant, or all holonomy covers of the leaves have exponential growth. This is an extension of…
The study bounds dimensions and proves existence of holomorphic sections on Kähler Ricci shrinkers.
problem Estimating dimensions and existence of holomorphic sections with polynomial growth on Kähler Ricci shrinkers.
method Proved upper bounds for dimensions and existence of sections using polynomial growth.
result Upper bounds for dimensions and existence of holomorphic sections with polynomial growth on Kähler Ricci shrinkers.
Researchers extend asymptotic analysis to Bergman projections with Gevrey weights.
problem Analyzing Bergman projections with Gevrey weights.
method Extending direct approach to semiclassical asymptotics to Gevrey weights using Fourier integral operators.
result Gevrey symbol amplitude of asymptotic Bergman projection with Gevrey weights and Gevrey-type growth rate.
Efficient algorithms solve large-scale DRSVM problems.
problem Optimizing support vector machines under worst-case distribution uncertainty.
method Epigraphical projection-based incremental algorithms.
result Incremental algorithms solve DRSVM problems up to 1000x faster than state-of-the-art methods.
Subfactor projectionsmath.GR
When two free factors A and B of a free group F_n are in "general position" we define the projection of B to the splitting complex (alternatively, the complex of free factors) of A. We show that the projections satisfy properties analogous to subsurface projections introduced by Masur and Minsky. We use the subfactor p…
Deep learning predicts plant growth and yield in greenhouses.
problem Predicting plant growth and yield for better greenhouse management.
method Utilized a new deep recurrent neural network (RNN) with LSTM neurons to model growth parameters.
result Deep learning models outperformed traditional ML methods in predicting plant growth and yield.
Strict concavity proven for growth indicator function of certain groups.
problem Proving strict concavity of growth indicator function for specific groups.
method Smoothness of Manhattan hypersurface and critical-exponent map.
result Strict concavity of growth indicator function for relatively Anosov groups.
This study assesses how share capital affects financial growth of non-financial firms listed at NSE.
problem Non-financial firms listed at NSE struggle with financial growth due to declining performance and lack of investor interest.
method Descriptive and panel data analysis of 45 non-financial firms over 10 years.
result Share capital positively and significantly influences financial growth, explaining 32.73% and 11.62% of variations in earnings per share and market capitalization growth, respectively.
The study calculates the growth rate of reciprocal hyperbolic elements in Hecke groups.
problem Counting reciprocal hyperbolic elements in Hecke groups.
method Analyzes conjugacy classes of hyperbolic elements associated with reciprocal geodesics.
result Determines the asymptotic growth rate and limiting constant of primitive conjugacy classes of reciprocal hyperbolic elements.
We study the limits of holonomy representations of complex projective structures on a compact Riemann surface in the Morgan-Shalen compactification of the character variety. We show that the dual R-trees of the quadratic differentials associated to a divergent sequence of projective structures determine the Morgan-Shal…
New Finsler metrics describe trace function growth rates in convex projective surfaces.
problem Understanding growth rates of trace functions in convex projective surfaces.
method Introduced new Finsler metrics and showed their convergence to describe trace function growth.
result Logarithms of trace functions are approximated by lengths in a Finsler metric defined by cubic differential.
The action of the mapping class group of the thrice-punctured projective plane on its character variety produces an algorithm for generating the simple length spectra of quasi-Fuchsian thrice-punctured projective planes. We apply this algorithm to quasi-Fuchsian representations of the corres…
Logarithmic growth in random walk projections and shortest curves in mapping tori.
problem Understanding the growth of random walk projections and shortest curves in mapping tori.
method Analyzing random walks and their projections, applying to hyperbolic groups and Out(F_n).
result The shortest geodesic in a mapping torus has length on the order of 1/ log^2(n).
TMLE improves IPM estimation for ecological population dynamics.
problem Estimating key demographic properties from IPM data.
method Targeted Maximum Likelihood Estimation (TMLE) for IPMs.
result Robust and efficient estimators for IPM properties.
Model predicts COVID-19 growth in Senegal, highlighting health care capacity importance.
problem Impact of health care capacity on COVID-19 growth in Senegal.
method Compartmental model with logistic growth health care capacity, machine learning projection.
result Condition to avoid overwhelming health care system provided.
Consider a manifold with boundary, and such that the interior is equipped with a pseudo-Riemannian metric. We prove that, under mild asymptotic non-vanishing conditions on the scalar curvature, if the Levi-Civita connection of the interior does not extend to the boundary (because for example the interior is complete) w…
Geometric aspects of rank-3 vector bundles over surfaces and 2-plane distributions on 5-manifoldsmath.DG
Geometric structures on surfaces relate to 2-plane distributions in 5D.
problem Understanding geometric properties of vector bundles and distributions.
method Study of horizontal 2-plane distributions on 5-manifolds.
result Established a connection between surface projective differential geometry and 2-plane distribution growth.
Optimal estimates for spectral projection norms on compact manifolds.
problem Estimating norms of spectral projection operators on compact manifolds.
method Analyzing spectral windows with logarithmic growth and applying curvature constraints.
result Optimal estimates for norms are derived, saturating on flat or negatively curved manifolds.
The study bounds growth of Hodge numbers and computes -Betti numbers for irregular varieties.
problem Bounding growth of normalized Hodge numbers and computing -Betti numbers for irregular varieties.
method Analysis of abelian covers, weak generic Nakano vanishing theorem, and convergence of plurigenera.
result Optimal bounds on the growth of normalized Hodge numbers and computation of -Betti numbers.
The Tech Decouplingq-fin.ST
Tech sector decouples from non-tech sectors post-2015, predicting economic growth.
problem Understanding the relationship between technology and economic growth.
method ARIMA modeling, stationarity tests, data wrangling, exploratory data analysis.
result The technology sector decouples from non-technology sectors post-2015 and predicts economic growth.
Over a closed manifold, we consider the sectorial projection of an elliptic pseudo-differential operator A of positive order with two rays of minimal growth. We show that it depends continuously on A when the space of pseudo-differential operators is equipped with a certain topology which we explicitly describe. Our ma…
Let be an equivariant line bundle which is big and nef on a complex projective nonsingular toric variety . Given a continuous toric metric on , we define the energy at equilibrium of where is the weight of the metrized toric divisor $\bar{D…
India's 2020-21 GDP growth forecast is projected at 1.9% due to COVID-19.
problem Impact of COVID-19 on India's 2020-21 GDP growth forecast.
method Quarterly GVA estimates using capacity utilisation assumptions and 2019-20 data.
result India's GDP growth in 2020-21 is expected to be 1.9%.
rpForests uses random projections to speed up kNN search.
problem Efficient kNN search in high-dimensional data.
method Random projection forests aggregating results from multiple random projection trees.
result rpForests achieves fast decay in missing rate and kNN distance discrepancy.
Study predicts NFT bubbles using LPPL model.
problem Tackles bubble prediction of NFTs.
method Applied logarithmic periodic power law (LPPL) model to NFT price data.
result NFTs, Decentraland, and ArtBlocks are in bubbles, while Ethereum Name Service is in a negative bubble.
Paper optimizes approximating high-dimensional diffusions by independent coordinates.
problem Optimizing approximations of high-dimensional diffusions by independent coordinates.
method Introduces independent projection as optimal for two criteria.
result Independent projection is optimal for two criteria related to entropy and convergence.
Optimal inequalities for metric surfaces derived from filling minimality.
problem Proving optimal systolic inequalities for metric surfaces.
method Analysis of asymptotic volume growth and minimality of normed planes and hemispheres.
result Optimal constants for tori and real projective planes match Finsler settings.
The study counts triangulations of a projective plane with specific vertex valencies.
problem Counting triangulations of a projective plane with unique vertex valencies.
method Analyzes the growth of triangulations with no more than n triangles, using complex mathematical functions and series.
result The number of triangulations grows as C·n^2 + O(n^3/2) with C ≈ 0.2087432125056015.
Study shows limits of Kähler manifolds with Ricci curvature have specific properties.
problem Understanding limits of Kähler manifolds with Ricci curvature constraints.
method Analyzing Gromov-Hausdorff limits and using good holomorphic coordinates.
result Limits of polarized Kähler manifolds are normal projective varieties with specific metric singularities.
Bi-contact surgery operations can be applied to Anosov flows.
problem Characterizing Anosov flows and their properties.
method Metric and contact geometric characterizations, Liouville geometry, Reeb dynamics.
result Bi-contact surgery operations can be applied to Anosov flows.
We construct Einstein metrics of non-positive scalar curvature on certain solid torus bundles over a Fano Kahler-Einstein manifold. We show, among other things, that the negative Einstein metrics are conformally compact, and the Ricci-flat metrics have slower-than-Euclidean volume growth and quadratic curvature decay. …
The paper analyzes an ensemble of randomly projected linear discriminants for high-dimensional data.
problem Classification issues in small samples of high-dimensional data.
method Asymptotic analysis using random matrix theory.
result The ensemble offers a performance advantage under certain conditions.
Does Infrastructure Investment Lead to Economic Growth or Economic Fragility? Evidence from Chinaq-fin.GN
The prevalent view in the economics literature is that a high level of infrastructure investment is a precursor to economic growth. China is especially held up as a model to emulate. Based on the largest dataset of its kind, this paper punctures the twin myths that, first, infrastructure creates economic value, and, se…
A Richer Theory of Convex Constrained Optimization with Reduced Projections and Improved Ratesmath.OC
This paper focuses on convex constrained optimization problems, where the solution is subject to a convex inequality constraint. In particular, we aim at challenging problems for which both projection into the constrained domain and a linear optimization under the inequality constraint are time-consuming, which render …
The paper solves portfolio selection using Rényi divergence and optimization.
problem Single-period portfolio selection under CRRA utility.
method Information-theoretic lens, Rényi divergence, Rényi entropy, Blahut-Arimoto-style alternating optimization.
result CRRA portfolio selection is equivalent to a Rényi information-projection problem.
Study improves cancer classification using gene selection and projection methods.
problem Overfitting in high-dimensional microarray datasets for cancer classification.
method FSWOR technique, random projection, Kendall test, ensemble classifiers, LDA projection, Naïve Bayes.
result Achieved a test score of 96%, significantly outperforming existing methods.
Study estimates 163 million online freelancers globally.
problem Estimating the number of online workers globally.
method Combining data from various online labour platforms.
result Headline estimate of 163 million registered profiles.
Proposes rpf-kernel for clustering via random projection forests.
problem Clustering similar data points while distinguishing them from dissimilar ones.
method Random projection forests to learn a similarity kernel.
result rpf-kernel effectively clusters data with competitive performance.
New insights into currents of Hitchin representations with combinatorial restrictions.
problem Understanding currents associated with Hitchin representations.
method Defining dual spaces and analyzing combinatorial restrictions on self-intersection.
result Dual spaces of discrete boundary currents are polyhedral complexes with dimension at most n-1.
Study shows ethanol blends and incentives can significantly reduce transportation carbon emissions.
problem Rapid growth in electric vehicles requires complementary strategies to decarbonize transportation.
method Analysis of ethanol blending, regulatory incentives, and economic assessments.
result Ethanol blending, especially E15 and E85, can substantially reduce carbon emissions and provide economic benefits.
JFR-rg: A New Macroeconomic Framework for High-Debt, Low-Growth Economies under Financial Repressionecon.EM
JFR-rg model explains Japan's stable debt despite high interest rates and low growth.
problem Understanding Japan's stable government debt despite high interest rates and low growth.
method Formalizes financial repression channels through JFR-rg model, incorporating financial repression bias and exchange-rate channel.
result Identifies Normalization Trap and Captive Financial System Parameter, showing debt dynamics under financial repression.
POLK uses sparse projections to learn functions from streaming data efficiently.
problem Memory constraints in nonparametric function approximation for streaming data.
method Online learning with kernels via sparse function subspace projections.
result POLK provides a controllable tradeoff between solution accuracy and memory usage.
An affine hypersurface (AH) structure is a pair comprising a conformal structure and a projective structure such that for any torsion-free connection representing the projective structure the completely trace-free part of the covariant derivative of any metric representing the conformal structure is completely symmetri…
Study correlations of spectral lengths and displacements in higher rank groups.
problem Analyzing correlations of spectral lengths and displacements in higher rank groups.
method Study Jordan and Cartan projections in tubes of Anosov subgroups of semisimple real algebraic groups.
result Prove existence of δ_ρ(\mathsf{v}) such that correlations of spectral lengths and displacements follow specific exponential growth patterns.