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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.

169,042 papers · 148 categories

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48 results for linear queries

Study learns linear utility functions from comparisons, showing learnability gaps between passive and active learning.

problem Learn linear utility functions from pairwise comparison queries.
method Analyzes passive and active learning settings, considering noise-free and noisy query responses.
result Efficient learnability of linear utilities in passive learning, but not for utility parameters without strong assumptions.

The paper tackles machine unlearning by designing efficient algorithms for adaptive query classes.

problem Designing efficient unlearning algorithms for machine learning models.
method Formalizes the problem and gives efficient unlearning algorithms for linear and prefix-sum query classes.
result Improved guarantees for stochastic convex optimization with reduced unlearning query complexity.

We study the problem of estimating a set of dd linear queries with respect to some unknown distribution p\mathbf{p} over a domain J=[J]\mathcal{J}=[J] based on a sensitive data set of nn individuals under the constraint of local differential privacy. This problem subsumes a wide range of estimation tasks, e.g., distrib…

2018-10-05abs ↗pdf ↗

New stability notion ensures generalization in adaptive settings for linear queries.

problem Ensuring generalization in adaptive settings for linear queries.
method Introducing a new stability notion based on observing outputs and quantifying their effect on posterior data sample elements.
result The new stability notion is both necessary and sufficient for generalization in adaptive settings.

Designers of AI agents often iterate on the reward function in a trial-and-error process until they get the desired behavior, but this only guarantees good behavior in the training environment. We propose structuring this process as a series of queries asking the user to compare between different reward functions. Thus…

2018-09-09abs ↗pdf ↗

Active sampling algorithm for linear regression with various norms and improved query complexity.

problem Efficiently querying a few entries of a target vector for near optimal minimizers of linear regression.
method Lewis weight sampling and active sampling algorithms for different pp norms.
result Optimal query complexity for p(0,1)p \in (0,1), 1<p<21<p<2, and 2<p<2<p<\infty.

TensorPlan algorithm finds δ-optimal policies with poly(H,d)(H,d) queries under linearly realizable state-value function.

problem Efficient planning in MDPs with linearly realizable state-value function.
method TensorPlan algorithm using poly((dH/δ)A)((dH/δ)^A) simulator queries.
result First algorithm with polynomial query complexity using only linear-realizability of a single competing value function.

Oracle-efficient algorithms reduce combinatorial semi-bandit regret to logarithmic time.

problem Scalability issue in combinatorial semi-bandit problems due to high combinatorial optimization costs.
method Oracle-efficient frameworks that minimize oracle queries while maintaining tight regret guarantees.
result Achieved ildeO(T) ilde{O}(\sqrt{T}) regret with O(loglogT)O(\log\log T) oracle queries for worst-case linear rewards.

Most exact methods for k-nearest neighbour search suffer from the curse of dimensionality; that is, their query times exhibit exponential dependence on either the ambient or the intrinsic dimensionality. Dynamic Continuous Indexing (DCI) offers a promising way of circumventing the curse and successfully reduces the dep…

2017-03-01abs ↗pdf ↗

Improves node classification in graphs with active learning.

problem Difficult or expensive labeling in node classification tasks.
method Graph cognizant logistic regression and preemptive query generation.
result Significant improvement over state-of-the-art approaches.

New algorithm tackles dynamic query routing to multiple embedding models.

problem Dynamic query routing to multiple embedding models under adversarial conditions.
method Formalized as adversarial contextual linear bandit with low-rank experts, proposed HPG algorithm.
result HPG algorithm achieves linearized policy regret of ildeO(sMT) ilde{\mathcal O}(s\sqrt{M T}).

Transformers can be hijacked by context, but deeper models are more robust.

problem Robustness of Transformers against context hijacking for linear classification.
method Developed a theoretical analysis on the robustness of linear transformers, considering model depth, training context lengths, and number of hijacking context tokens.
result Deeper transformers are more robust to context hijacking.

Improved efficient robust regression with near-linear time and subquadratic samples.

problem Robust linear regression with unknown covariance matrix under Gaussian covariates.
method Near-linear time algorithm using subquadratic samples, complemented by SQ and polynomial lower bounds.
result Achieves prediction error O(εκ)O(\sqrt{εκ}) for εκ1εκ\lesssim 1, improving over prior works.

The paper provides an almost optimal learning and testing algorithm for sparse polynomials.

problem Learning and testing sparse multivariate polynomials efficiently.
method The paper presents an algorithm with sublinear query complexity in 1/ε1/ε and almost linear in ss for learning and testing ss-sparse polynomials.
result The algorithm achieves almost optimal query complexity, making it the first of its kind.

TensorPlan shows an exponential lower bound for planning in MDPs with linearly realizable value functions.

problem Finding an exponential lower bound for planning in MDPs with linearly realizable value functions.
method TensorPlan and a few action lower bound approach.
result An exponentially large lower bound is shown for planning in MDPs with linearly realizable value functions.

New research shows exponential lower bounds for planning in MDPs with linearly-realizable optimal action-value functions.

problem Determining the minimum number of queries needed for sound planners in MDPs with linear function approximation.
method Analyzing fixed-horizon and discounted MDPs with a generative model, showing lower bounds on the number of queries required.
result Sound planners need at least exponential number of queries in both fixed-horizon and discounted settings.

New insights into query complexity for Nash equilibrium learning.

problem Characterizing the number of queries needed to learn approximate Nash equilibria in matrix games.
method Introduced a new technique to prove lower bounds on query complexity, improving previous techniques.
result Lower bounds of order Ω(log(1Kε))Ω(\log(\frac{1}{Kε})) for any ε1/(cK4)ε\leq 1 / (cK^4), where cc is a constant.

Improved API to achieve optimal error bound and query complexity in local planning.

problem Efficient local planning in discounted MDPs with linear approximation.
method Confident Approximate Policy Iteration (CAPI) for stationary policies, applying to local access simulators.
result Achieves optimal accuracy and query complexity bounds, improving over API.

Given a binary prediction problem, which performance metric should the classifier optimize? We address this question by formalizing the problem of Metric Elicitation. The goal of metric elicitation is to discover the performance metric of a practitioner, which reflects her innate rewards (costs) for correct (incorrect)…

2018-06-05abs ↗pdf ↗

Efficient local planning with linear approximations for agents with limited simulator access.

problem Planning with limited simulator access in reinforcement learning.
method Confident Monte Carlo Least Square Policy Iteration (Confident MC-LSPI) and Politex (Confident MC-Politex) algorithms.
result The algorithms can learn the optimal policy with local simulator access, even for linear Q-functions.

Paper addresses privacy and robustness in stochastic linear bandits.

problem Stochastic linear bandits with differential privacy and adversarial robustness.
method Logarithmic batch queries, arm elimination algorithm, two privacy models.
result First algorithms providing differential privacy and adversarial robustness.

New algorithms learn from comparisons to classify data robustly to noise.

problem Learning robust classifiers from noisy data efficiently.
method Introducing comparison queries to active learning, providing noise-tolerant classifiers.
result First time and query efficient algorithms for robust learning under bounded noise.

Paper introduces data-dependent SSP for private linear and logistic regression.

problem Private linear and logistic regression with better performance.
method Data-dependent sufficient statistic perturbation (SSP) for linear and logistic regression.
result Data-dependent SSP outperforms state-of-the-art methods for linear and logistic regression.

New algorithm maximizes non-monotone adaptive submodular functions in linear time.

problem Maximizing non-monotone adaptive submodular functions subject to a cardinality constraint.
method Developed a linear-time algorithm for non-monotone adaptive submodular maximization.
result Achieved a 1/eε1/e-ε approximation ratio with O(nε2logε1)O(nε^{-2}\log ε^{-1}) value oracle queries.

Study on learning distributions from multiple data providers with restricted samples.

problem Learning an unknown distribution from conditional samples given a fixed family of queryable sets.
method Studied a stylized model of distribution learning from restricted conditional samples, focusing on the co-occurrence graph associated with the queryable sets.
result The optimal sample complexity of PAC learning ranges from nearly linear to quadratic, depending on the structure of the queryable sets.

New tool for parallel and private stochastic convex optimization reduces query complexity.

problem Parallel and private stochastic convex optimization with reduced query complexity.
method Reweighted Stochastic Query (ReSQue) estimator combined with ball oracle acceleration.
result Achieves state-of-the-art complexities for SCO in parallel and private settings.

Proposes efficient bounds for causal effect estimation under weak confounding.

problem Estimating causal effects with weakly confounded variables.
method Develops an efficient linear program to derive upper and lower bounds on causal effect under small entropy of unobserved confounders.
result Bounds are consistent and tighter for weakly confounded variables.

CwA optimizes search performance by jointly learning a balanced database partition and a neural probing function.

problem Suboptimal search performance due to mismatched database and query distributions.
method CwA jointly learns a balanced database partition and a neural probing function to optimize search performance directly for the query distribution.
result CwA achieves up to 4.7x throughput over state-of-the-art methods at equal recall.

Active learning reconstructs hierarchical tree cuts from leaf similarity.

problem Reconstructing hierarchical tree cuts from pairwise leaf similarity.
method Pairwise similarity over tree leaves; active learning; regret and query complexity bounds.
result Theoretical guarantees on statistical error and practical linear-time implementations.

Online active regression algorithms minimize label queries for efficient data regression.

problem Efficiently predict data points with minimal label queries in an online setting.
method Proposed online algorithms for active regression under ℓ_p loss, achieving (1+ε)-approximation with minimal label queries.
result Achieves (1+ε)-approximation with only ε^(-1) d log(nκ) label queries, matching offline methods in performance.

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).

Learning low-dimensional embeddings of knowledge graphs is a powerful approach used to predict unobserved or missing edges between entities. However, an open challenge in this area is developing techniques that can go beyond simple edge prediction and handle more complex logical queries, which might involve multiple un…

2018-06-05abs ↗pdf ↗

Lower bounds show learning mixtures of linear classifiers is nearly impossible.

problem Learning mixtures of linear classifiers under Gaussian covariates.
method Statistical Query (SQ) lower bounds and new spherical designs.
result Complexity of any SQ algorithm is \( n^{\mathrm{poly}(1/Δ) \log(r)} \), where Δ is the pairwise \(\ell_2\)-separation.