Study revises results on a specific type of 3D paracontact metric manifolds.
problem Revising results on a specific type of 3D paracontact metric manifolds.
method Analyzing a defined class of 3-dimensional paracontact metric manifolds.
result Revision of previous findings in the field.
A method for selecting pseudo-labeled data in semi-supervised learning using generalized Bayes and soft revision.
problem Selecting pseudo-labeled data for semi-supervised learning with robustness to uncertainty.
method Using credal sets and the Gamma-Maximin method with soft revision to update priors and select pseudo-labeled data.
result The Gamma-Maximin method with soft revision can achieve promising results, especially in scenarios with low labeled data proportions.
Upper bounds on revised first Betti number and torus stability for RCD spaces.
problem Bounding the revised first Betti number and stability of RCD spaces.
method Proving an upper bound on the rank of the abelianised revised fundamental group and establishing torus stability.
result Spaces with saturated upper bound on revised first Betti number are mGH-close to flat tori.
GRCN improves GCNs by predicting missing edges and revising weights.
problem Sub-optimal solutions due to incomplete and noisy real-world graphs.
method Introduces a GCN-based graph revision module for predicting missing edges and revising weights.
result GRCN consistently outperforms strong baseline methods, especially on incomplete graphs.
Revised proof shows ribbonness of surface-links in 4-sphere.
problem Determining ribbonness of surface-links in 4-sphere.
method Surgery along fusion 1-handle systems to prove ribbonness.
result Surface-links in 4-sphere are ribbon if certain conditions are met.
Revised ct-SNE improves t-SNE for visualizing data beyond labels.
problem ct-SNE fails in realistic settings where data is well clustered over labels.
method Conditioning high-dimensional similarities, storing nearest neighbors separately, and using speedups.
result Improved embedding quality and scalability.
SPLICE simulates incurred losses and their revisions.
problem Simulating incurred losses and their revisions in insurance.
method Continuous time simulation of individual claims with revisions over their lifetime.
result Incorporates dependencies and properties of incurred losses.
Study on RCD(0,N) spaces with small linear diameter growth.
problem Understanding structure properties of RCD(0,N) spaces.
method Analyzing the (revised) fundamental group of RCD(0,N) spaces.
result Proved that the revised fundamental group is finitely generated for RCD(0,N) spaces with small linear diameter growth.
A framework for cost of belief revision in uncertain agents.
problem Cost of revising beliefs in uncertain agents.
method Axiomatic framework for transport-based belief costs, postulates P0 and P1.
result Cost metric is conformally reweighted by Fisher information, leading to a cost floor diverging at certainty.
CROQ optimizes LLM decision-making by narrowing down choices and improving accuracy.
problem Uncertainty in LLM outputs poses risks in high-stakes domains.
method Conformal prediction (CP) and optimization (CP-OPT) to minimize prediction set sizes.
result CROQ improves LLM accuracy, especially with CP-OPT.
We analyze differences between two information-theoretically motivated approaches to statistical inference and model selection: the Minimum Description Length (MDL) principle, and the Minimum Message Length (MML) principle. Based on this analysis, we present two revised versions of MML: a pointwise estimator which give…
Paper trains models to resist spurious patterns by having humans revise documents.
problem Machine learning models often rely on spurious patterns, leading to poor performance.
method Humans revise documents to retain coherence and avoid unnecessary changes, creating a combined dataset.
result Models trained on combined datasets perform better than those trained on original or manipulated data alone.
This paper has been withdrawn by the authors. Significantly revised versions of the results of this paper are now available in arXiv:0707.0487v2 and arXiv:0808.3169v1.
We use the maximum entropy principle for pricing the non-life insurance and recover the Bühlmann results for the economic premium principle. The concept of economic equilibrium is revised in this respect.
New method identifies uncertainty shocks in financial markets using revised VIX.
problem Traditional VIX fails to capture non-Gaussian, heavy-tailed asset returns.
method Fit a double-subordinated Normal Inverse Gaussian Levy process to S&P 500 option prices to construct a revised VIX.
result Revised VIX provides a more comprehensive measure of volatility reflecting extreme movements and heavy tails.
Enhances fault tolerance of neural networks for security-critical applications.
problem Fault tolerance of neural networks is biased and can lead to severe consequences in security-critical scenarios.
method Proposes a revised implementation that significantly enhances the fault tolerance property of neural networks with detailed mathematical analysis.
result Significantly increased fault tolerance of neural networks for security-critical applications.
Two DRL policies collaborate to solve NP-hard routing problems.
problem Solving complex routing problems like TSP without expert knowledge.
method Learning Collaborative Policies (LCP) using seeder and reviser policies.
result Improves solution quality over single-policy DRL on various NP-hard routing problems.
Bayesian logistic regression improves clinical risk prediction models over time.
problem Improving clinical risk prediction models after deployment to adapt to temporal shifts.
method Bayesian logistic regression (BLR) and Markov variant (MarBLR) for online recalibration and revision of prediction models.
result BLR and MarBLR consistently outperform static models and other online revision methods, improving average AUC and calibration index.
This paper has been withdrawn, because its material has been revised and became part of paper math.GT/0010184
RoGAT enhances GAT robustness against adversarial attacks.
problem Vulnerability of GAT to adversarial attacks.
method Dynamic adjustment of edge weights and features, with an extra attention score.
result RoGAT outperforms other defensive methods in robustness tests.
The study finds significant power-law cross correlations in Bitcoin's return-volatility dynamics.
problem Investigating asymmetry in Bitcoin's return-volatility relationships.
method Analysis of daily and high-frequency Bitcoin data to identify cross correlations.
result Power-law cross correlations between returns and future volatilities are observed, indicating long-range dependencies.
We establish a surgery formula for 3-dimensional Seiberg-Witten monopoles under (+1) Dehn surgery on a knot in a homology 3-sphere. (substantial revision)
Proofs show finite subgroups of homeomorphism groups are almost nilpotent.
problem Finite subgroups of homeomorphism groups of compact topological manifolds.
method Finite group theoretic results provide a general strategy for proving Jordan-type theorems.
result Proof of the revised Ghys conjecture about nilpotent normal subgroups.
We prove generic regularity and Uhlenbeck-type compactification theorems for the moduli spaces of PU(2)-monopoles. Generic regularity is NOT obtained in the usual way (by applying Sard theorem to a smooth parameterized moduli space), since the parameterized moduli space can be a priori singular. We explain why, using t…
Factor analysis is a statistical technique employed to evaluate how observed variables correlate through common factors and unique variables. While it is often used to analyze price movement in the unstable stock market, it does not always yield easily interpretable results. In this study, we develop improved factor mo…
This paper is a revised version of a previously posted paper in arxiv. The authors posted it as a new submission by mistake. The latest version of the paper can be found at arXiv:math-ph/0512003v2
We construct a new type of geometric knot theory, plumbers' knots, and solve the problems of distinguishing and enumerating such knots at a fixed level of complexity. (v2) Minor edits, added theorem 3.18. (v3) Substantial revisions, essentially completely rewritten in places.
This is the first of two articles in which we give a proof - for a broad class of four-manifolds - of Witten's conjecture that the Donaldson and Seiberg-Witten series coincide, at least through terms of degree less than or equal to c-2, where c is a linear combination of the Euler characteristic and signature of the fo…
Improves SA-CCR model to be more consistent and risk-sensitive.
problem Inconsistent and risk-insensitive SA-CCR model.
method Cashflow decomposition in a 3-Factor Gaussian Market Model.
result Makes SA-CCR self-consistent and risk-sensitive.
Survey article on recent Kähler geometry and exceptional holonomy.
problem Exploring recent advancements in Kähler geometry and exceptional holonomy.
method Not specified in the abstract, likely a review of existing research.
result Not specified in the abstract, likely a summary of recent findings.
The paper quantifies when a trading strategy's drawdown becomes a cause for concern.
problem Detecting when a profitable trading strategy starts to degrade over time.
method Quantitative analysis of drawdown length and depth for upward drifting Brownian motions.
result Drawdowns lasting too long or being too deep indicate a need to revise the strategy's Sharpe ratio.
Two studies explain high margin loan rates by brokers.
problem High margin loan rates charged by stock brokers.
method Two approaches: finite revisions and monopolistic pricing.
result Small differences in revision frequency or monopoly pricing can explain loan rates.
We study canonical decompositions of postcritically finite branched coverings of the 2-sphere, as defined by K. Pilgrim. We show that every hyperbolic cycle in the decomposition does not have a Thurston obstruction. It is thus Thurston equivalent to a rational map.
We construct Bott-type and equivariant Seiberg-Witten Floer homology and cohomology for 3-manifolds, in particular rational homology spheres, and prove their diffeomorphism invariance. This paper is a revised version of math.DG/9701010. Some typos are removed.
We use sutured manifold theory, essential laminations and essential branched surfaces to establish the upper bounds of distances between certain types of nonsimple Dehn surgery slopes. This is the revised version of an earlier preprint {\it Dehn surgery and simple manifolds.}
New evidence refutes old conjectures about knot homology ranks, suggesting new congruences.
problem Determining the rank of knot homology theories modulo 4 for ribbon knots.
method Proved homomorphism of knot concordance group, checked conjectures for 2.4 million knots.
result Revised conjectures about knot homology ranks modulo 4 for ribbon knots hold true.
Revises Schwarzschild manifold rigidity proof for spin manifolds.
problem Rigidity of Schwarzschild manifold for spin manifolds.
method Spinorial proof approach.
result Generalizes and includes classical and recent black hole uniqueness theorems.
Graph Neural Networks improve Quadratic Assignment Problem solving.
problem Learning algorithms for Quadratic Assignment Problem from planted solutions.
method Data-driven models using Graph Neural Networks trained on solved instances.
result Graph Neural Networks offer good performance in Quadratic Assignment Problem.
Paper extends rigidity and vanishing results for totally real submanifolds under Lp-integrable conditions.
problem Rigidity and vanishing properties of totally real submanifolds in complex space forms.
method Extends results by Cuong et al. to a broader range of p-integrable conditions. result Extends the range of p for rigidity and vanishing results. Lecture notes on Heegaard Floer homologies and curves.
problem Analyzing rational cuspidal curves using Heegaard Floer homologies.
method Application of Heegaard Floer homologies to study rational cuspidal curves.
result Detailed analysis of rational cuspidal curves using Heegaard Floer homologies.
The aim of this paper is to show that Lawson's foliation on the 5-sphere admits a smooth leafwise symplectic structure. The main part of the construction is to show that the Fermat type cubic surface admits an end-periodic symplectic structure.
These revised lecture notes are an expository account of part of the proof of Thurston's Ending Lamination Conjecture for Kleinian surface groups, which states that such groups are uniquely determined by invariants that describe the asymptotic structure of the ends of their quotient manifolds.
Revises Gauss's Lemma using metrical distortion and differential slip.
problem Revising Gauss's Lemma in Riemannian geometry.
method Defining metrical distortion and differential slip, showing their geometric implications.
result Geodesically radial volume and length preservation properties.
The main goal of the paper is to prove the existence of the universal cover for RCD∗(K,N)-spaces. This generalizes earlier work of C. Sormani and the second named author on the existence of universal covers for Ricci limit spaces. As a result, we also obtain several structure results on the (revised) fundamental gro…
The goal of this article was the S^1-equivariant transversality-problem and the compactification-problem for the moduli spaces of (perturbed) PU(2)-monopoles. A substantially improved version entitled "Moduli spaces of PU(2)-monopoles (revised version)" which gives simpler, clearer proofs of the transversality results,…
Partial answer to affineness of entire Grauert tubes, with Stein manifold criterion.
problem Affineness of entire Grauert tubes
method Generalized Demailly's criterion for Stein manifolds
result Complement of a codimension-one subset is affine
The study revises GDPpc trends and redistributes economic power among countries.
problem Analyzing global economic power shifts over time.
method Modeling GDPpc as a trend and fluctuations, analyzing historical data.
result Revised GDPpc trends show significant shifts in global economic power.
We propose a novel learning method for multilayered neural networks which uses feedforward supervisory signal and associates classification of a new input with that of pre-trained input. The proposed method effectively uses rich input information in the earlier layer for robust leaning and revising internal representat…