Research
On-device research index

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.

168,657 papers · 148 categories

Trend · papers per month

1223 · Jul 202019922001200920172026
9 results for CountSketch

Improved CountSketch method reduces variance for estimating vector coordinates.

problem Estimating coordinates of high-dimensional vectors efficiently.
method Revisits CountSketch method, using median of estimates to reduce variance.
result Variance reduced to O(min{v12/s2,v22/s})O(\min\{\|v\|_1^2/s^2,\|v\|_2^2/s\}) for t>1t > 1.

New algorithm optimizes positions of CountSketch non-zero entries for better data compression.

problem Optimizing positions of CountSketch non-zero entries for better data compression.
method Learning algorithm that optimizes both values and positions of CountSketch non-zero entries.
result Improves accuracy for low rank approximation and other problems like k-means clustering.

Scalable algorithms to solve optimization and regression tasks even approximately, are needed to work with large datasets. In this paper we study efficient techniques from matrix sketching to solve a variety of convex constrained regression problems. We adopt "Iterative Hessian Sketching" (IHS) and show that the fast C…

2019-10-30abs ↗pdf ↗

New sketches for weighted p\ell_p sampling without replacement improve accuracy and efficiency.

problem Efficiently sampling weighted data with high accuracy and minimal redundancy.
method Design of novel composable sketches for WOR p\ell_p sampling, based on CountSketch.
result First to provide WOR sampling for p>1p>1 and signed updates.

A new method uses matrix sketches for efficient graph clustering in dynamic environments.

problem Efficiently clustering large, dynamic graphs in distributed memory systems.
method Inspired by spectral clustering, the approach uses random dimension-reducing projections to derive matrix sketches.
result The method produces embeddings that yield performant clustering results in a fully-dynamic stochastic block model stream.

We improve prediction risk estimation for large datasets using sketching and ridge regression.

problem Estimating prediction risks for large datasets efficiently and accurately.
method Random matrix theory, generalized cross validation, sketched ridge regression ensembles, and ensemble trick.
result Consistent risk estimation and prediction intervals for large-scale datasets.

Unified methodology for statistical inference in least squares and PCA via randomized sketching.

problem Statistical inference in least squares and PCA problems.
method Randomized sketching and projections, asymptotic normality of quadratic forms.
result Unified statistical inference methods for various sketching distributions.