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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.

168,695 papers · 148 categories

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3978117156 · Jun 202019922001200920172026
48 results for oblivious noise

New algorithms for GLMs with oblivious noise, identifying solutions even when half the data is corrupted.

problem Regression for GLMs with additive oblivious noise.
method Distribution-independent algorithms that return accurate estimates or candidate solutions.
result First algorithmic result for GLM regression with oblivious noise, handling more than half corrupted data.

Orthogonal matching pursuit (OMP) is a widely used algorithm for recovering sparse high dimensional vectors in linear regression models. The optimal performance of OMP requires \textit{a priori} knowledge of either the sparsity of regression vector or noise statistics. Both these statistics are rarely known \textit{a p…

2018-06-02abs ↗pdf ↗

Study non-oblivious adversarial bandits with delayed feedback and propose algorithms with improved regret bounds.

problem Adversarial bandit problem with delayed, composite anonymous feedback.
method Propose wrapper algorithm for non-oblivious delay setting, achieving o(T)o(T) policy regret.
result Achieve o(T)o(T) policy regret for many adversarial bandit problems with bounded memory loss sequences.

Develops efficient estimators for PCA and sparse regression in the presence of oblivious outliers.

problem Estimation of PCA and sparse regression in the presence of a small fraction of corrupted data.
method Designs efficient estimators using Huber loss with non-smooth regularizers like the ℓ1 norm or nuclear norm.
result Achieves consistent estimation error approaching zero as the number of observations grows.

New study shows data-oblivious attacks can outperform data-aware ones.

problem Comparing effectiveness of data-oblivious and data-aware poisoning attacks.
method Theoretical study of feature selection with LASSO, focusing on separation between full-information and oblivious attackers.
result Data-oblivious attacks can achieve the same results as full-information attacks for feature selection with LASSO.

The paper tackles pure exploration in multi-armed bandits with low rank structure using oblivious sampling.

problem Pure exploration in multi-armed bandits with low rank reward sequences.
method The approach involves separating the exploration strategy from feedback, using oblivious sampling, and incorporating kernel information of reward vectors.
result Efficient algorithms with regret bound O(d(lnN)/n)O(d\sqrt{(\ln N)/n}) for both time-varying and fixed cases, with a lower bound gap of O(lnN)O(\sqrt{\ln N}).

New algorithm recovers sparse signals robustly against Gaussian noise and adaptive adversaries.

problem Designing efficient estimators for sparse linear regression in the presence of two adversaries.
method Polynomial-time algorithms using sum-of-squares relaxations and weighted Huber loss minimization.
result Achieves error o(ε)o(\sqrt{\varepsilon}) for various distributions and adversaries.

The paper develops adaptive confidence intervals for Efron's Gaussian two-groups model with unknown contamination.

problem Developing robust uncertainty quantification for Efron's Gaussian two-groups model with unknown contamination fraction.
method The approach involves Fourier-based certification procedures to find minimax-optimal adaptive confidence intervals.
result The minimax-optimal length of adaptive confidence intervals is polynomially worse than when contamination fraction is known.

Optimal subspace embedding with near-optimal sparsity for high-dimensional data.

problem Efficiently preserving norms of vectors in high-dimensional subspaces.
method Near-optimal sparsity oblivious subspace embedding with decoupling argument and cumulant method.
result Achieved near-optimal sparsity of O~(1/ε)\tilde O(1/ε) non-zeros per column.

New insights into variable selection with different model assumptions.

problem Sparse recovery with \ell_\infty error guarantees in variable selection.
method Separation between oblivious and adaptive models of \ell_\infty sparse recovery.
result Proves a surprising contrast between oblivious and adaptive models in \ell_\infty sparse recovery.

A new data-oblivious sketch for logistic regression reduces data size while maintaining approximation accuracy.

problem Efficiently solving logistic regression in one pass over a data stream.
method Data-oblivious sketching approach that reduces data size to poly(μdlog n) weighted points.
result Sketching reduces data size significantly and provides approximation guarantees.

Study improves privacy-preserving online prediction from experts with speed-ups.

problem Privacy-preserving online prediction from experts with speed-ups.
method Differentially private federated online prediction algorithms.
result Achieves mm-fold regret speed-up with low-loss expert in federated setting.

New algorithm achieves both static and dynamic regret optimally against an oblivious adversary for deterministic losses.

problem Achieving optimal static and dynamic regret simultaneously in adversarial bandits.
method Extends impossibility result to deterministic losses, uses negative static regret and Blackwell approachability.
result First algorithm achieving optimal static and dynamic regret simultaneously against an oblivious adversary.

We investigate the problem of algorithmic fairness in the case where sensitive and non-sensitive features are available and one aims to generate new, `oblivious', features that closely approximate the non-sensitive features, and are only minimally dependent on the sensitive ones. We study this question in the context o…

2020-02-07abs ↗pdf ↗

This paper highlights new opportunities for designing large-scale machine learning systems as a consequence of blurring traditional boundaries that have allowed algorithm designers and application-level practitioners to stay -- for the most part -- oblivious to the details of the underlying hardware-level implementatio…

2014-09-09abs ↗pdf ↗

Nowadays, deep neural networks (DNNs) have become the main instrument for machine learning tasks within a wide range of domains, including vision, NLP, and speech. Meanwhile, in an important case of heterogenous tabular data, the advantage of DNNs over shallow counterparts remains questionable. In particular, there is …

2019-09-13abs ↗pdf ↗

Study shows efficient algorithms for noiseless linear regression require quadratic sample complexity in contamination rate.

problem Efficient algorithms for noiseless linear regression under Gaussian covariates with oblivious contamination.
method Formal evidence using Statistical Query complexity.
result Any efficient Statistical Query algorithm requires VSTAT complexity at least Ω(d^(1/2)/α^2).

A new method for faster optimization of noisy functions.

problem Optimizing noisy functions efficiently.
method A universal and adaptive second-order method for convex functions.
result Achieves O(σ/T)O(σ/ \sqrt{T}) convergence for stochastic oracles and O(1/T3)O( 1 / T^3) for deterministic oracles.

Improved SGD for robust linear and ReLU regression with adversarial corruptions.

problem Robust regression with adversarial corruptions in streaming data.
method Stochastic gradient descent (SGD-exp) with exponentially decaying step size.
result Nearly linear convergence to true parameter with up to 50% Massart corruption rate.

New robust regression method works with fewer data points than previous methods.

problem Adversary can corrupt most of the data, making traditional regression models unreliable.
method Developed a Huber loss estimator for robust linear regression with nearly linear sample size and inverse-polynomial inlier fraction.
result The Huber loss estimator is consistent for nearly linear sample size and inverse-polynomial inlier fraction.

Random projections (RP) are a popular tool for reducing dimensionality while preserving local geometry. In many applications the data set to be projected is given to us in advance, yet the current RP techniques do not make use of information about the data. In this paper, we provide a computationally light way to extra…

2019-06-22abs ↗pdf ↗

Sparse OSEs achieve optimal embedding dimension of O(d).

problem Achieving optimal embedding dimension for sparse OSEs.
method Random sparsified matrix with m(1+θ)dm \geq (1+θ)d non-zeros per column.
result Sparse OSEs can achieve embedding dimension m=O(d)m=O(d), improving on previous m=O(dlog(d))m=O(d\log(d)).

Deeper models have a more favorable optimization landscape, making them more robust to noise.

problem Characterizing the effect of depth on the optimization landscape of linear regression models.
method Robust and over-parameterized setting, simple sub-gradient method.
result A simple sub-gradient method converges to a balanced solution that is close to the ground truth and enjoys a flat local landscape.

Study the tradeoffs of bandit feedback in multiclass classification.

problem The price of using bandit feedback in multiclass classification.
method Mistake bound model, analysis of variants, and comparison of learners and adversaries.
result The optimal mistake bound under bandit feedback is at most O(k)O(k) times higher than in full information, with a tight bound of O(k)O(k).

New algorithm mitigates bias in subset selection with noisy protected attributes.

problem Mitigating bias in subset selection when protected attributes are noisy.
method Formulated a denoised selection problem and developed a linear-programming based approximation algorithm.
result The approach can produce fairer subsets despite noisy protected attributes.

A new model shows fairness mechanisms can improve selection utility even without implicit bias.

problem Improving selection fairness without introducing a utility trade-off.
method A model with latent quality and group-dependent variance, comparing fairness mechanisms to group-oblivious selection.
result Demographic parity always increases selection utility, while γγ-rules weakly increase it.

Slow running or straggler tasks can significantly reduce computation speed in distributed computation. Recently, coding-theory-inspired approaches have been applied to mitigate the effect of straggling, through embedding redundancy in certain linear computational steps of the optimization algorithm, thus completing the…

2017-11-14abs ↗pdf ↗

We study the problem of maximizing a monotone set function subject to a cardinality constraint kk in the setting where some number of elements ττ is deleted from the returned set. The focus of this work is on the worst-case adversarial setting. While there exist constant-factor guarantees when the function is submodu…

2018-02-20abs ↗pdf ↗

Bandit algorithms struggle with consistent performance and robustness.

problem Achieving consistent and robust performance in stochastic multi-armed bandit settings.
method Analyzing regret minimization trade-offs and proposing distribution-oblivious algorithms.
result Logarithmic regret is inconsistent and super-logarithmic regret is necessary for consistent learning.

Stochastic games provide a framework for interactions among multiple agents and enable a myriad of applications. In these games, agents decide on actions simultaneously, the state of every agent moves to the next state, and each agent receives a reward. However, finding an equilibrium (if exists) in this game is often …

2019-05-30abs ↗pdf ↗

We give a fast oblivious L2-embedding of ARnxdA\in \mathbb{R}^{n x d} to BRrxdB\in \mathbb{R}^{r x d} satisfying (1ε)Ax22Bx22<=(1+ε)Ax22.(1-\varepsilon)\|A x\|_2^2 \le \|B x\|_2^2 <= (1+\varepsilon) \|Ax\|_2^2. Our embedding dimension rr equals dd, a constant independent of the distortion ε\varepsilon. We use as a black-box any L2-embedding $Π…

2019-09-27abs ↗pdf ↗

Improved upper bound for online calibrated forecasting of binary sequences.

problem Online calibrated forecasting of binary sequences.
method Introducing a variant of Qiao & Valiant's sign preservation game called sign preservation with reuse (SPR) and proving its equivalence to calibrated forecasting.
result Improved upper bound of O(T2/3ε)O(T^{2/3 - \varepsilon}) for calibrated forecasting, improving the O(T2/3)O(T^{2/3}) bound of Foster & Vohra.