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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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0111 · Jan 201119922001200920172026
11 results for measure-scaling

We introduce a notion of measuring scales for quantum abelian gauge systems. At each measuring scale a finite dimensional affine space stores information about the evaluation of the curvature on a discrete family of surfaces. Affine maps from the spaces assigned to finer scales to those assigned to coarser scales play …

2011-01-20abs ↗pdf ↗

Introduces new performance measures using scaled utility functions.

problem Performance measurement in financial contexts.
method Certainty equivalents defined via scaled utility functions, well-posed portfolio optimization problem under generic conditions.
result Link between portfolio dynamics, benchmark process, and utility function choice in the long-run setting.

NUTS mixing time scales as d^(1/4) for Gaussian distributions.

problem Improving the efficiency of the No-U-Turn Sampler (NUTS) for Gaussian distributions.
method Coupling argument leveraging geometric structure of Gaussian concentration, uniformity analysis of NUTS transitions.
result The mixing time of NUTS scales as d^(1/4) for Gaussian distributions, up to logarithmic factors.

New algorithms handle phase retrieval with rank d measurements, revealing phase transitions.

problem Phase retrieval with rank d measurements.
method Random duality theory (RDT) and descending phase retrieval algorithms (dPR).
result Minimal sample complexity ratio for dPR's success exhibits phase transitions.

Simulated DAGs can mislead structure learning algorithms due to variance patterns.

problem Structure learning algorithms can be misled by variance patterns in simulated DAG models.
method Introduced varsortability as a measure of agreement between marginal variance order and causal order.
result Performance of structure learning algorithms can be explained by high varsortability, but this does not generalize to real-world data.

Kernel dependence measures yield accurate estimates of nonlinear relations between random variables, and they are also endorsed with solid theoretical properties and convergence rates. Besides, the empirical estimates are easy to compute in closed form just involving linear algebra operations. However, they are hampere…

2016-11-02abs ↗pdf ↗

Robust Kalman filter for corrupted measurements.

problem Estimating linear dynamical systems from noisy measurements, especially when a fraction of measurements are adversarially corrupted.
method Developed a robust Kalman filter framework that can handle large and unknown perturbations in measurement noise.
result First strong provable guarantees for linear quadratic estimation with adversarial corruptions.

A new measure scales MMD to assess distribution closeness.

problem Testing statistical significance of distribution closeness.
method Norm-adaptive MMD (NAMMD) for distributional discrepancy.
result NAMMD-based DCT has higher test power than MMD-based DCT.