arXiv research

Paper introduces new risk norms based on ES with flexible distortion functions.

New method estimates rate-distortion function using optimal transport.

Distortion risk measures are extensively used in finance and insurance applications because of their appealing properties. We present three methods to construct new class of distortion functions and measures. The approach involves the composting methods, the mixing methods and the approach that based on the theory of c…

QC-SPHARM detects Alzheimer's Disease early using hippocampal surface geometry.

New bounds on generalization error for distributed learning using rate-distortion theory.

Introduces joint exclusivity (JE), a new form of negative dependence.

The paper studies quasimorphisms and distortion in homeomorphism groups of manifolds.

Jointly reduces echo, reverberation, and noise using neural networks.

Vertex distortion detects if a knot is unknot.

New method corrects complex distortions in single view images.

Algorithm finds optimal affine transformation to minimize overall distortion.

DILATE improves deep time series forecasting for non-stationary signals.

Bayesian model averaging under predictor redundancy

Vertex distortion measures how far lattice knots deviate from straight lines.

We consider the problem of distortion minimal morphing of $n$-dimensional compact connected oriented smooth manifolds without boundary embedded in $\R^{n+1}$. Distortion involves bending and stretching. In this paper, minimal distortion (with respect to stretching) is defined as the infinitesimal relative change in vol…

This paper shows how to calculate risk measures for sums of two counter-monotonic risks.

A new family of stochastic dominance orders based on distortion functions.

Study distortion risk measures for step-weighted distributions.

The distortion of a curve measures the maximum arc/chord length ratio. Gromov showed any closed curve has distortion at least pi/2 and asked about the distortion of knots. Here, we prove that any nontrivial tame knot has distortion at least 5pi/3; examples show that distortion under 7.16 suffices to build a trefoil kno…

The paper calculates subgroup distortions in 3-manifold groups.

Develops Fourier analysis for SDR, simplifying dimension reduction problems.

Computed distortion coefficients for the α-Grushin plane.

Study on risk measures using distorted Choquet integrals with random distortions.

Sharp bounds on distortion of surfaces in 3D space.

We show that an entire branched cover of finite distortion cannot have a compact branch set if its distortion satisfies a certain asymptotic growth condition. We furthermore show that this bound is strict by constructing an entire, continuous, open and discrete mapping of finite distortion which is piecewise smooth, ha…

New study shows tradeoffs between compression quality, distortion, and perception.

The distortion of a curve is the supremum, taken over distinct pairs of points of the curve, of the ratio of arclength to spatial distance between the points. Gromov asked in 1981 whether a curve in every knot type can be constructed with distortion less than a universal constant C. Answering Gromov's question seems to…

A new multi-scale vector quantization method for unsupervised data.

The study shows exponential distortion in virtually special groups containing free subgroups.

Estimates rate-distortion function for large datasets using neural networks.

Introduces new performance criteria for investment under distorted probabilities.

Study stabilizers in handlebody group; meridians are undistorted, others are exponentially distorted.

Introduces a new conditional expectation under distorted probabilities, addressing time-inconsistency.

New coding theorem shows achievable rate matches theoretical limit.

We construct 2-dimensional CAT(-1) groups which contain free subgroups with arbitrary iterated exponential distortion, and with distortion higher than any iterated exponential.

Paper proposes a new black-box attack approach to minimize visual distortion.

Sharp bounds for distortion risk metrics under uncertain distributions.

Study dynamic risk measures and performance indices using distortion functions.

New bounds on knot distortion and Seifert surface properties.

The paper examines how distortion principles affect insurance pricing under risk aversion and ambiguity.

The problem behind this paper is the proper measurement of the degree of quality/acceptability/distance to arbitrage of trades. We are narrowing the class of coherent acceptability indices introduced by Cherny and Madan (2007) by imposing an additional mathematical property. For this, we introduce the notion of a conca…

The paper examines how risk reduction and insurance choices interact under convex premium principles.

New method tests risk measures for various distortions.

DiffC compresses images by diffusing Gaussian noise, outperforming state-of-the-art methods.

Improved binning technique boosts nUV measure performance.

We study the statistical meaning of the minimization of distortion measure and the relation between the equilibrium points of the SOM algorithm and the minima of distortion measure. If we assume that the observations and the map lie in an compact Euclidean space, we prove the strong consistency of the map which almost …

We discuss equivalent axiomatic characterizations of distortion risk measures, and give a novel and concise proof of the characterization of elicitable distortion risk measures. Elicitability has recently been discussed as a desirable criterion for risk measures, motivated by statistical considerations of forecasting. …

Machine learning detects and classifies cognitive distortions in mental health texts.