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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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4590134179 · Jun 202019922001200920172026
48 results for noisy comparison

The paper tackles learning true rankings from noisy, incomplete data.

problem Learning true rankings from incomplete and noisy data.
method Introduces a selective Mallows model for noisy rankings and derives upper and lower bounds on sample complexity.
result Strong asymptotically tight bounds on sample complexity for learning complete rankings and top-k rankings.

New oracle uses uncertainty for active classification with noisy feedback.

problem Improving query complexity in interactive binary classifier learning.
method Proposes a new pairwise comparison oracle that considers uncertainty and an adaptive labeling algorithm.
result Demonstrates improved performance and efficiency compared to existing methods.

Paper tackles noisy comparison oracle for robust clustering algorithms.

problem Finding robust clustering algorithms under noisy comparison oracle.
method Develops algorithms for k-center clustering and agglomerative hierarchical clustering using noisy comparison oracle.
result Proves robust algorithms achieve good approximation guarantees with high probability.

The dueling bandit problem is a variation of the classical multi-armed bandit in which the allowable actions are noisy comparisons between pairs of arms. This paper focuses on a new approach for finding the "best" arm according to the Borda criterion using noisy comparisons. We prove that in the absence of structural a…

2015-01-31abs ↗pdf ↗

This paper provides lower bounds on the convergence rate of Derivative Free Optimization (DFO) with noisy function evaluations, exposing a fundamental and unavoidable gap between the performance of algorithms with access to gradients and those with access to only function evaluations. However, there are situations in w…

2012-09-11abs ↗pdf ↗

We performed an empirical comparison of ICA and PCA algorithms by applying them on two simulated noisy time series with varying distribution parameters and level of noise. In general, ICA shows better results than PCA because it takes into account higher moments of data distribution. On the other hand, PCA remains quit…

2017-09-29abs ↗pdf ↗

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.

Exact pairwise ranking is achievable but not possible under noisy comparisons.

problem Recovering the exact rank of items from noisy pairwise comparisons.
method Information-theoretic upper and lower bounds using the SST model and combinatorial arguments.
result Sharp information-theoretic bounds match in the parametric limit and outperform previous methods.

We study the problem of interactively learning a binary classifier using noisy labeling and pairwise comparison oracles, where the comparison oracle answers which one in the given two instances is more likely to be positive. Learning from such oracles has multiple applications where obtaining direct labels is harder bu…

2017-04-19abs ↗pdf ↗

Rank regression from pairwise comparisons requires many comparisons to accurately learn model parameters.

problem Learning model parameters for rank regression from noisy pairwise comparisons.
method Uniform random pairwise comparisons to estimate model parameters with a given accuracy.
result Learning model parameters requires a number of comparisons proportional to dNlog3N/ε2dN\log^3 N/ε^2.

Paper proposes Pcomp classification for binary classification with pairwise confidence comparisons.

problem Lack of pointwise labels due to privacy, confidentiality, or security reasons.
method Developed Pcomp classification, derived an unbiased risk estimator (URE), and improved it using correction functions and consistency regularization.
result Demonstrated the effectiveness of Pcomp classification methods.

We consider the problem of search through comparisons, where a user is presented with two candidate objects and reveals which is closer to her intended target. We study adaptive strategies for finding the target, that require knowledge of rank relationships but not actual distances between objects. We propose a new str…

2012-06-18abs ↗pdf ↗

The abundance of data produced daily from large variety of sources has boosted the need of novel approaches on causal inference analysis from observational data. Observational data often contain noisy or missing entries. Moreover, causal inference studies may require unobserved high-level information which needs to be …

2017-03-13abs ↗pdf ↗

We consider the problem of learning the qualities of a collection of items by performing noisy comparisons among them. Following the standard paradigm, we assume there is a fixed "comparison graph" and every neighboring pair of items in this graph is compared kk times according to the Bradley-Terry-Luce model (where t…

2019-02-01abs ↗pdf ↗

We consider the problem of finding a target object tt using pairwise comparisons, by asking an oracle questions of the form \emph{"Which object from the pair (i,j)(i,j) is more similar to tt?"}. Objects live in a space of latent features, from which the oracle generates noisy answers. First, we consider the {\em non-bli…

2019-05-13abs ↗pdf ↗

Introduces neural point-forms for learning geometric features from noisy point clouds.

problem Learning geometric features from noisy point clouds with missing tangency information.
method Uses Laplacian-based techniques to build comparison matrices for point clouds, proving consistency under various assumptions.
result Neural point-forms provide a competitive and interpretable representation, especially beneficial for dense or manifold-like structures.

The paper tackles noisy multi-armed bandit problems with improved regret guarantees.

problem Tackling noisy evaluations in multi-armed bandit problems.
method Derives different algorithmic approaches and theoretical guarantees based on the type of observation functions.
result Improved regret guarantees for noisy linear functions of true rewards.

We consider the problem of classification in a comparison-based setting: given a set of objects, we only have access to triplet comparisons of the form "object xix_i is closer to object xjx_j than to object xkx_k." In this paper we introduce TripletBoost, a new method that can learn a classifier just from such triplet …

2018-10-31abs ↗pdf ↗

There has been a recent surge of interest in studying permutation-based models for ranking from pairwise comparison data. Despite being structurally richer and more robust than parametric ranking models, permutation-based models are less well understood statistically and generally lack efficient learning algorithms. In…

2017-10-28abs ↗pdf ↗

To investigate objects without a describable notion of distance, one can gather ordinal information by asking triplet comparisons of the form "Is object xx closer to yy or is xx closer to zz?" In order to learn from such data, the objects are typically embedded in a Euclidean space while satisfying as many triplet …

2019-06-27abs ↗pdf ↗

Optimizes identifying top-k items from comparisons with minimal comparisons.

problem Finding the top-k items from pairwise comparisons with a fixed error rate.
method Developed an asymptotically optimal algorithm using primal-dual procedure and adaptive comparison allocation.
result Proves the algorithm is asymptotically optimal for top-k identification.

Survey of Monte Carlo methods for noisy, costly densities in reinforcement learning and ABC.

problem Dealing with intractable, costly, and noisy densities in real-world scenarios.
method Classification and description of Monte Carlo methodologies using surrogate models.
result Unified scheme and numerical comparisons of different methodologies.

Modeling preference rankings with salient features to explain irrational choices.

problem Estimating rankings from noisy pairwise comparisons with irrational choices.
method Salient feature preference model with maximum likelihood estimation.
result Strong performance of maximum likelihood estimation on synthetic and real data.

This paper optimizes the number of comparisons needed to find the best k items from pairwise comparisons.

problem Finding the best k items from pairwise comparisons with limited comparisons.
method Developed algorithms for finding probably approximately correct and exact best k items under stochastic conditions.
result Upper and lower bounds on the number of comparisons for finding the best k items, with matching upper bounds for PAC best k items.

Suppose that we wish to estimate a vector x\mathbf{x} from a set of binary paired comparisons of the form "x\mathbf{x} is closer to p\mathbf{p} than to q\mathbf{q}" for various choices of vectors p\mathbf{p} and q\mathbf{q}. The problem of estimating x\mathbf{x} from this type of observation arises in a variety …

2018-02-19abs ↗pdf ↗

Study real-world noisy labels from human annotations for better understanding.

problem Understanding and modeling real-world label noise in machine learning.
method Developed two new benchmark datasets (CIFAR-10N, CIFAR-100N) with human-annotated real-world noisy labels.
result Real-world noisy labels exhibit instance-dependent patterns, not class-dependent as previously assumed.

There is increasing interest in learning algorithms that involve interaction between human and machine. Comparison-based queries are among the most natural ways to get feedback from humans. A challenge in designing comparison-based interactive learning algorithms is coping with noisy answers. The most common fix is to …

2018-02-20abs ↗pdf ↗

Given a set of pairwise comparisons, the classical ranking problem computes a single ranking that best represents the preferences of all users. In this paper, we study the problem of inferring individual preferences, arising in the context of making personalized recommendations. In particular, we assume that there are …

2015-02-16abs ↗pdf ↗