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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.

168,694 papers · 148 categories

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79158237316 · Jun 202019922001200920172026
48 results for oblivious points

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.

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 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.

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 ↗

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}).

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 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.

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.

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.

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).

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)).

Let X be a data matrix of rank ρ, whose rows represent n points in d-dimensional space. The linear support vector machine constructs a hyperplane separator that maximizes the 1-norm soft margin. We develop a new oblivious dimension reduction technique which is precomputed and can be applied to any input matrix X. We pr…

2012-11-26abs ↗pdf ↗

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.

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).

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 ↗

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.

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.

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.

This work improves tensor decomposition methods, especially for large datasets.

problem Lack of efficient methods for estimating Tucker decompositions.
method Applies Johnson-Lindenstrauss type guarantees to Tucker decompositions with random embeddings.
result Effective dimension reduction with minimal error for large tensors.

New DP algorithms with margin guarantees for various hypothesis sets.

problem Differential privacy in machine learning with margin guarantees.
method Developed pure and efficient DP learning algorithms for linear, kernel-based, and neural network hypotheses.
result Margin guarantees are independent of input dimension and hypothesis type.

We survey distributed deep learning models for training or inference without accessing raw data from clients. These methods aim to protect confidential patterns in data while still allowing servers to train models. The distributed deep learning methods of federated learning, split learning and large batch stochastic gr…

2018-12-08abs ↗pdf ↗

Convolutional Neural Networks (CNN) are being actively explored for safety-critical applications such as autonomous vehicles and aerospace, where it is essential to ensure the reliability of inference results in the presence of possible memory faults. Traditional methods such as error correction codes (ECC) and Triple …

2019-10-31abs ↗pdf ↗

In this work we investigate the reasons why Batch Normalization (BN) improves the generalization performance of deep networks. We argue that one major reason, distinguishing it from data-independent normalization methods, is randomness of batch statistics. This randomness appears in the parameters rather than in activa…

2018-11-01abs ↗pdf ↗