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Recycling computational processes of dynamic programming for combinatorial optimization problems: a reservoir computing approach

arXiv cs.LG · 2026-07-28 Cached

This paper proposes a method using reservoir computing to recycle computational processes of dynamic programming for combinatorial optimization problems, achieving improved approximation accuracy and reduced computation time on traveling salesman and subset sum problems.

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#linear-regression

Smart predict-then-robustly-optimize

arXiv cs.LG · 2026-07-27 Cached

This paper proposes a robust variant of smart predict-then-optimize that accounts for feature perturbations, providing a convex surrogate with theoretical guarantees and demonstrating superior performance over standard methods.

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In-context learning of closed form solution to simple linear regression task using transformer with linear self-attention

arXiv cs.LG · 2026-07-20 Cached

This paper constructs a transformer with linear self-attention that performs in-context learning of the closed-form least squares solution for simple linear regression, using layer normalization to approximate the analytical solution rather than gradient descent.

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The Approximation Ratio for the Risk of Myopic Bayesian Active Learning for Linear Regression

arXiv cs.LG · 2026-07-09 Cached

Proves a tight approximation ratio for the greedy algorithm in myopic Bayesian active learning for linear regression, identifying the maximum initial leverage score as a key quantity.

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Distributionally Robust Linear Regression With Block Lewis Weights

arXiv cs.LG · 2026-07-02 Cached

This paper presents an algorithm for group distributionally robust least squares regression using block Lewis weights, achieving improved complexity over interior point methods. It also provides interpolating algorithms between average and robust losses.

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#linear-regression

The Fast Mixing Mechanism for Differential Privacy

arXiv cs.LG · 2026-06-01 Cached

This paper introduces a new differential privacy sketching mechanism based on fast transforms that achieves state-of-the-art privacy guarantees and improved runtime, and applies it to DP linear regression to obtain the first fast method for DP ordinary least squares.

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#linear-regression

From One-Pass SGD to Data Reuse: Mini-Batch Scaling Laws in Sketched Linear Regression

arXiv cs.LG · 2026-05-26 Cached

This paper derives batch scaling laws for sketched linear regression under power-law spectra, analyzing one-pass and multi-pass mini-batch SGD. It provides explicit risk decompositions showing how batch size affects bias, variance, and fluctuation terms, and establishes that without-replacement sampling yields lower noise than with-replacement.

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