Proves rigidity for spherical cap eigenvalue problem.
problem Eigenvalue problem with mixed boundary conditions.
method Obata-type rigidity result for spherical cap.
result Proves rigidity for eigenvalue problem.
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48 results for “mixing conditions”
Heat kernel estimates on manifolds with mixed boundary conditions.
problem Estimating heat kernels on manifolds with ends and mixed boundary conditions.
method Global harmonic function construction and -transform technique.
result Two-sided heat kernel estimates for Riemannian manifolds with mixed boundary conditions.
Study on elasticity with mixed boundary conditions, proving spectral asymptotics.
problem Analyzing spectral asymptotics for linear elasticity with mixed boundary conditions.
method Established two-term spectral asymptotics for linear elasticity on smooth compact manifolds.
result Verification of general formulae through explicit examples in 2D and 3D.
The paper examines cohomology in degree one for representations of groups under mixing conditions.
problem Implications of non-vanishing cohomology in degree one for group structure.
method Uses harmonic cocycles and properties of subgroups to analyze cohomology.
result FC-centre is finite for mildly mixing unitary representations.
Rapid mixing of Langevin dynamics on Riemannian manifolds
problem Mixing time of Langevin dynamics on Riemannian manifolds
method Relation between Langevin processes in domain and image
result Achievable polynomial mixing times
MALA mixes optimally in κ√d steps for log-concave sampling.
problem Sampling from log-concave distributions efficiently.
method Metropolis-Adjusted Langevin Algorithm (MALA) with warm start.
result Optimal minimax mixing time of κ√d iterations for log-concave distributions.
The spectral asymptotics for linear elasticity with mixed boundary conditions are shown to be old results.
problem Analyzing the spectral asymptotics for linear elasticity with mixed boundary conditions.
method Demonstrating that the results are essentially old well-known results by other authors.
result The spectral asymptotics results for linear elasticity with mixed boundary conditions are shown to be old results by other authors.
Research on mixed polynomials, extending non-degeneracy concepts to complex variables.
problem Extending non-degeneracy concepts to mixed polynomials in complex variables.
method Generalization of Mondal's partial non-degeneracy to mixed polynomials, introducing new concepts and proving properties.
result Strong partial non-degeneracy implies isolated singularities, and mixed polynomials that are strongly inner non-degenerate satisfy the strong Milnor condition.
Constant th-mixed curvaturemath.DG
The paper studies constant th-mixed curvature on Hermitian manifolds and finds self-duality and Kähler conditions.
problem Investigating constant th-mixed curvature on Hermitian manifolds.
method Analyzing Hermitian manifolds with convex combinations of Chern Ricci curvature and holomorphic sectional curvature.
result Compact Hermitian surfaces with constant th-mixed curvature are self-dual, and if , the metric is Kähler.
New method for mixed data FI controls type I error and achieves high power.
problem Statistical inadequacy of feature importance measures for mixed data.
method Combining CPI framework with sequential knockoffs for mixed data.
result Our method controls type I error and achieves high power for mixed data.
Study improves Poisson equation solutions on various manifolds.
problem Improving solutions to Poisson equation on different types of manifolds.
method Established estimates for mixed boundary conditions on manifolds with specific curvature properties.
result Generalized existing theorems to broader Riemannian settings.
The paper studies a flow of hypersurfaces preserving mixed volumes and finds convergence to a sphere.
problem Evolution of hypersurfaces under mixed volume preserving flow.
method A flow defined by powers of homogeneous curvature functions of degree one.
result If initial hypersurface satisfies a pinching condition, there exists a unique, smooth solution converging to a round sphere.
"Mixed Data" comprising a large number of heterogeneous variables (e.g. count, binary, continuous, skewed continuous, among other data types) are prevalent in varied areas such as genomics and proteomics, imaging genetics, national security, social networking, and Internet advertising. There have been limited efforts a…
New method for mixed memberships using symmetrized Laplacian inverse matrix.
problem Mixed memberships in community detection.
method Spectral clustering on symmetrized Laplacian inverse matrix.
result Mixed-SLIM methods outperform state-of-the-art methods.
Study bi-Lipschitz equivalence of mixed polynomials under specific conditions.
problem Classify bi-Lipschitz equivalence of mixed polynomials with inner non-degeneracy.
method Defined metric links and introduced new data to determine bi-Lipschitz equivalence.
result Neither Newton boundary nor C-face diagram is an invariant for bi-Lipschitz equivalence.
This paper shows that the time map of the averaged Euler equations, with Dirichlet, Neumann, and mixed boundary conditions is canonical relative to a Lie-Poisson bracket constructed via a non-smooth reduction for the corresponding diffeomorphism groups. It is also shown that the geodesic spray for Neumann and mixed…
Notes on Forré's Notion of Conditional Independence and Causal Calculus for Continuous Variablesmath.ST
Forré introduces a new conditional independence notion for mixed variables.
problem Unified framework for random and non-stochastic variables.
method Unified framework of transitional conditional independence and causal calculus for iDMGs.
result Unified framework connects conditional independencies to graphical separation criteria.
ContextFlow++ improves generative models by conditioning on mixed-variable contexts.
problem Lack of effective methods for context conditioning in flow-based generative models.
method Proposes ContextFlow++ with additive conditioning and mixed-variable architecture.
result ContextFlow++ achieves higher performance metrics and faster training.
A novel Bayesian approach for latent variable models from mixed data with missing values.
problem Learning parameters of latent variable models from mixed (continuous and ordinal) data with missing values.
method Proposes a novel Bayesian Gaussian copula factor (BGCF) approach that is consistent and robust to violations of certain conditions.
result BGCF substantially outperforms two state-of-the-art alternative approaches in simulations and is favorable over robust maximum likelihood (MLR) in practice.
In the thesis at hand we give a comprehensive discussion of basic problems for generalized Maxwell equations with mixed boundary conditions using the calculus of alternating differential forms on Riemannian manifolds of arbitrary dimension. We prove compactness results, Hodge decompositions and Poincare type estimates.…
Mix-up domain adaptation improves dynamic RUL predictions across various conditions.
problem Dynamic RUL predictions under non-i.i.d conditions.
method Three-staged mechanism with mix-up strategy for source and target domains alignment, self-supervised learning.
result MDAN outperforms existing methods in 12 out of 12 cases for dynamic RUL predictions.
Logit-Coordinate models improve representation of mixed data types.
problem Representation of mixed continuous-categorical data in generative models.
method Logit-coordinate framework combining categorical and continuous variables.
result Logit-Coordinate models outperform one-hot encoding in simulations and real data.
Lasso guarantees for time series with subgaussian tails and β-mixing conditions.
problem Estimating high-dimensional time series with unknown underlying models.
method Relies on stationarity and β-mixing conditions, using lasso for estimation.
result Lasso estimates are consistent for β-mixing processes with subgaussian tails.
Gibbs sampling's scan order affects mixing times, with systematic scan not differing by more than a polynomial factor under certain conditions.
problem The impact of scan order on Gibbs sampling's mixing times.
method Introduced a method of augmenting the state space to study systematic scan using conductance.
result The mixing times of random scan and systematic scan do not differ by more than a polynomial factor under mild conditions.
Study on sparse recovery with mixed-quality data, establishing sample-size conditions.
problem Sparse recovery with heterogeneous noise from high- and low-quality sources.
method Establishes linear trade-off for sufficient conditions, analyzes LASSO algorithm.
result Linear trade-off for sufficient conditions, robustness of LASSO to data heterogeneity.
A new method explains mixed features for predictive models using conditional inference trees.
problem Explaining complex machine learning models with mixed features.
method Proposes a method to explain mixed features (continuous, discrete, ordinal, categorical) using conditional inference trees.
result Our method often outperforms current industry standards in various simulation studies and real-world financial data.
Detects and localizes anomalies in mixed data types using graphical models.
problem Anomaly detection and localization in heterogeneous data.
method Pairwise undirected mixed graphical model, CUSUM algorithm, conditional likelihood ratio.
result The method allows precise localization of variables involved in anomalies.
Modeling self-tracking data identifies subtypes of endometriosis.
problem No known biomarkers for endometriosis, highly enigmatic condition.
method Mixed-membership models on self-tracking data.
result Identifies potential subtypes robust to tracking variations.
The paper explores mixed curvature for Hermitian manifolds and its implications.
problem Investigating the properties of mixed curvature for Hermitian manifolds.
method Analyzing convex combinations of first Chern Ricci curvature and holomorphic sectional curvature.
result Compact Hermitian surfaces with constant mixed curvature are Kähler unless specific conditions are met.
Flow preserves Lagrangian condition in Calabi-Yau manifolds.
problem Preserving Lagrangian condition in Calabi-Yau manifolds with boundary.
method Introduced mixed Dirichlet-Neumann boundary condition for Lagrangian mean curvature flow.
result Proved preservation of Lagrangian condition under flow.
A new framework improves solving mixed-integer convex problems with binary indicators.
problem Optimizing mixed-integer convex problems with binary indicators controlling continuous variables.
method Coordinate Optimality Reformulation (CORe) framework, incorporating coordinate-wise optimality information.
result CORe reformulations improve branch-and-bound performance, especially in sparse and structured settings.
The study explores splitting conditions for mixed braid group sequences.
problem Conditions for splitting the Fadell-Neuwirth short exact sequence in mixed braid groups.
method Analysis of mixed braid groups and their quotients, computation of specific groups.
result Conditions for the projection to admit a section, including divisibility conditions.
Two algorithms learn Gaussian graphical models from Glauber dynamics trajectories, achieving optimal performance.
problem Learning Gaussian graphical models from a single trajectory of a dependent stochastic process.
method Two algorithms based on dueling-neighborhood search and local statistics built from the update sequence of Glauber dynamics.
result Achieve dependence of the information-theoretic lower bounds, mixing-free and signal-optimal.
Study on mixed Killing vector fields on Cigar Ricci-Bourguignon solitons.
problem Characterizing mixed Killing vector fields on Cigar Ricci-Bourguignon solitons.
method Analyzing the condition and using rigidity phenomena.
result Dimension of complete mixed Killing fields is 5 and a basis is explicitly determined.
The paper explores the relationship between joint mixability and negative dependence structures.
problem Understanding the connection between joint mixability and various negative dependence concepts.
method Analyzes the properties of joint mixes and their relation to negative dependence structures.
result Derives necessary and sufficient conditions for a joint mix to be negatively dependent.
Study solves complex Hessian equation on Hermitian manifolds.
problem Solving Hessian equations on Hermitian manifolds with mixed structure.
method Derive a priori estimates and solve Dirichlet problem under conditions.
result Solvability of the Dirichlet problem for mixed Hessian equations.
Solves Christoffel-Minkowski problem for axially symmetric bodies.
problem Necessary and sufficient conditions for mixed area measures of axially symmetric convex bodies.
method Introduced a new method to transform mixed area measures and mixed volumes of axially symmetric bodies, refining Firey's classification and improving estimates.
result Complete solution to the mixed Christoffel-Minkowski problem for axially symmetric bodies without regularity assumptions.
Conservation of heat in manifolds with boundary under mixed conditions.
problem Conservation of heat in manifolds with boundary and mixed conditions.
method Uniform lower bounds on the zero order piece of the Dirac Laplacian and on the endomorphism defining the mixed boundary condition.
result Conservation principle holds under suitable geometric control.
New model clusters mixed-type data with missing values, improving air quality analysis.
problem Clustering mixed-type data with missing values and regime persistence.
method Statistical jump model incorporating regime persistence and handling missing data.
result Superior performance in inferring persistent air quality regimes compared to traditional methods.
This paper compares two NUTS variants and analyzes their convergence and mixing times.
problem Theoretical comparison and convergence guarantees of NUTS variants.
method Deriving necessary and sufficient conditions for geometric ergodicity, and analyzing mixing times.
result NUTS-mul and NUTS-BPS have nearly identical qualitative behavior but differ quantitatively in convergence rates.
New method detects essential tori in mixed singularity links.
problem Detecting essential tori in mixed singularity link complements.
method Analyzing properties of defining mixed polynomials.
result Explicit criteria for essential tori existence.
Paper analyzes distributed learning with non-i.i.d. samples.
problem Learning rate analysis for distributed kernel ridge regression with dependent samples.
method Integral operator approach and covariance inequality for strong mixing sequences.
result Derives optimal learning rates for distributed kernel ridge regression.
Stability of ADI schemes for multidimensional diffusion equations with mixed derivative termsmath.NA
In this paper the unconditional stability of four well-known ADI schemes is analyzed in the application to time-dependent multidimensional diffusion equations with mixed derivative terms. Necessary and sufficient conditions on the parameter theta of each scheme are obtained that take into account the actual size of the…
Study nonstationary data learning under β-mixing processes.
problem Learning from nonstationary data with varying distributions.
method Proposed a learning method for β-mixing processes.
result Cumulative excess risk grows sublinearly in the number of predictions.
Unified approach to stability conditions on surfaces with quadratic differentials.
problem Identifying spaces of stability conditions on triangulated categories.
method Perverse schober and their global sections, mixed-angulations, flips, finite-length hearts, tilts.
result Identification of moduli spaces of quadratic differentials with arbitrary singularity types.
A new method for community detection in networks is presented.
problem Community detection in network analysis.
method Mixed regularized spectral clustering (Mixed-RSC) based on the regularized Laplacian matrix.
result The method is asymptotically consistent under mild conditions.
Paper defines new curvature measures for foliated manifolds and proves new theorems.
problem Estimating the diameter and splitting theorems for foliated manifolds.
method Introduced weighted mixed curvatures and new conditions to update estimates.
result Updated estimates of diameter and proved new splitting theorems.
MixCIT tests conditional independence for mixed data types efficiently and reliably.
problem Testing conditional independence for mixed data types, especially when at least one is continuous.
method Graph-based test statistic comparing kernel similarities, debiased local-polynomial approach for continuous variables.
result Unified, efficient, and statistically guaranteed solution across heterogeneous data types.