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48 results for top-k sampling

The paper proposes methods to identify and sample from mixtures of Mallows models for top-k rankings.

problem Identifying and sampling from mixtures of Mallows models for top-k rankings in a heterogeneous population.
method Efficient sampling algorithms and identifiability proofs for both components of the mixture.
result The identifiability and learnability of the Mallows components' parameters in the mixture.

This paper explores the preference-based top-KK rank aggregation problem. Suppose that a collection of items is repeatedly compared in pairs, and one wishes to recover a consistent ordering that emphasizes the top-KK ranked items, based on partially revealed preferences. We focus on the Bradley-Terry-Luce (BTL) model…

2015-04-27abs ↗pdf ↗

We study the top-KK ranking problem where the goal is to recover the set of top-KK ranked items out of a large collection of items based on partially revealed preferences. We consider an adversarial crowdsourced setting where there are two population sets, and pairwise comparison samples drawn from one of the populat…

2016-02-15abs ↗pdf ↗

Motivated by applications in recommender systems, web search, social choice and crowdsourcing, we consider the problem of identifying the set of top KK items from noisy pairwise comparisons. In our setting, we are non-actively given rr pairwise comparisons between each pair of nn items, where each comparison has noi…

2016-05-12abs ↗pdf ↗

We present online boosting algorithms for multilabel ranking with top-k feedback, where the learner only receives information about the top k items from the ranking it provides. We propose a novel surrogate loss function and unbiased estimator, allowing weak learners to update themselves with limited information. Using…

2019-10-24abs ↗pdf ↗

Optimizes ranking of top-k players from partial comparison data.

problem Identifying the top-k players from incomplete pairwise comparisons.
method Maximum Likelihood Estimator (MLE) and Spectral Method.
result MLE achieves optimal partial and exact recovery, while Spectral Method is sub-optimal.

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.

Recurrent models can produce infinite sequences, causing bias; new methods prevent this.

problem Inconsistency in decoding infinite-length sequences from recurrent language models.
method Defined and proved inconsistency of common decoding algorithms; proposed remedies.
result Proposed methods prevent inconsistency in practice.

Top-k Combinatorial Bandits generalize multi-armed bandits, where at each round any subset of kk out of nn arms may be chosen and the sum of the rewards is gained. We address the full-bandit feedback, in which the agent observes only the sum of rewards, in contrast to the semi-bandit feedback, in which the agent obse…

2019-05-28abs ↗pdf ↗

A simple modification improves GAN performance by discarding bad samples.

problem Improving GAN performance with minimal computational cost.
method Top-k update procedure: zero out gradient contributions from least realistic elements.
result Significant improvement in FID score for conditional generation on CIFAR-10.

New insights into the top-K sparse softmax gating function for deep learning.

problem Understanding the theoretical effects of the top-K sparse softmax gating function on density and parameter estimations.
method Using a Gaussian mixture of experts, novel loss functions, and theoretical analysis.
result The convergence rates of density and parameter estimations are parametric under certain conditions, but slow under over-specified models.

Class ambiguity is typical in image classification problems with a large number of classes. When classes are difficult to discriminate, it makes sense to allow k guesses and evaluate classifiers based on the top-k error instead of the standard zero-one loss. We propose top-k multiclass SVM as a direct method to optimiz…

2015-11-20abs ↗pdf ↗

The top-kk error is often employed to evaluate performance for challenging classification tasks in computer vision as it is designed to compensate for ambiguity in ground truth labels. This practical success motivates our theoretical analysis of consistent top-kk classification. Surprisingly, it is not rigorously und…

2019-01-30abs ↗pdf ↗

We introduce a new sampling method for large language models that balances diversity and parallelism.

problem Balancing diversity and parallelism in decoding for large language models.
method Arithmetic sampling framework compatible with various sampling variations.
result Improves estimation of expected BLEU score reward and reduces the gap with beam search.

In order to push the performance on realistic computer vision tasks, the number of classes in modern benchmark datasets has significantly increased in recent years. This increase in the number of classes comes along with increased ambiguity between the class labels, raising the question if top-1 error is the right perf…

2015-12-01abs ↗pdf ↗

Master-slave architecture tackles combinatorial multi-armed bandits with diversity constraints.

problem Solving top-KK combinatorial multi-armed bandits with non-linear feedback and diversity constraints.
method Master-slave architecture with six slave models, teacher learning, and policy co-training.
result Significantly outperforms existing algorithms in synthetic and real datasets.

Proposes differentiable and sparse top-k operators for neural networks.

problem Discontinuity of top-k operator makes it unsuitable for end-to-end training with backpropagation.
method Formulates top-k as a linear program over permutahedron, introduces p-norm regularization, and uses isotonic optimization.
result Successfully applied to neural network pruning, fine-tuning, and routing.

Study on top-kk classification with new loss functions and algorithms.

problem Improving multi-class classification accuracy and cardinality trade-off.
method Introducing cardinality-aware loss functions and deriving their consistency bounds.
result New cardinality-aware algorithms for top-kk classification.

Unified framework for deferring queries to top-k experts, improving accuracy-cost trade-offs.

problem Limitation of existing L2D frameworks to single-expert deferral.
method Top-kk Learning-to-Defer framework, including adaptive Top-k(x)k(x) variant.
result Superior accuracy-cost trade-offs with multi-expert deferral.

We propose the Limited Multi-Label (LML) projection layer as a new primitive operation for end-to-end learning systems. The LML layer provides a probabilistic way of modeling multi-label predictions limited to having exactly k labels. We derive efficient forward and backward passes for this layer and show how the layer…

2019-06-20abs ↗pdf ↗

Introduces top-kk regularization for better feature selection in machine learning.

problem Limited ability of existing feature selection methods to reconcile feature representativeness and inter-correlations.
method Top-kk regularization, which induces a sub-architecture on the model's architecture to select informative features and model complex relationships.
result Uniform approximation error bound for top-kk regularization approximating high-dimensional sparse functions.

Distributed stochastic gradient descent (SGD) algorithms are widely deployed in training large-scale deep learning models, while the communication overhead among workers becomes the new system bottleneck. Recently proposed gradient sparsification techniques, especially Top-kk sparsification with error compensation (To…

2019-11-20abs ↗pdf ↗

The paper addresses calibration in label ranking, a structured prediction task.

problem Calibration in label ranking is not well understood and often poorly calibrated.
method Formalized calibration for label ranking, developed a hierarchy of notions, and empirically evaluated models.
result Popular label ranking models are often poorly calibrated, with differences between sub-ranking and top-k metrics.

Paper tackles ranking items with a semi-random comparison graph and a monotone adversary.

problem Ranking items based on pairwise comparisons from a semi-random comparison graph with a monotone adversary.
method Developed a weighted maximum likelihood estimator (MLE) and an SDP-based approach to reweight the semi-random graph.
result Achieves near-optimal sample complexity, up to a log^2(n) factor, for identifying the top-K preferred items.

Proposes a method to infer ranking properties and top-K rankings with uncertainty quantification.

problem General uncertainty quantification in ranking problems.
method Combinatorial inference framework for the Bradley-Terry-Luce model, generalized to multiple testing.
result Minimax optimal method for inferring top-K rankings with FDR control.