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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.

168,742 papers · 148 categories

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48 results for Top Two 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.

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 ↗

We investigate and provide new insights on the sampling rule called Top-Two Thompson Sampling (TTTS). In particular, we justify its use for fixed-confidence best-arm identification. We further propose a variant of TTTS called Top-Two Transportation Cost (T3C), which disposes of the computational burden of TTTS. As our …

2019-10-24abs ↗pdf ↗

DeepTopPush improves accuracy at the top for complex classification tasks.

problem Minimizing irrelevant samples above a threshold in binary classification.
method Proposes a new method for end-to-end training of deep networks to minimize loss at the top.
result Demonstrates excellent performance on visual recognition and real-world applications.

Efficiently selects top-m designs for various contexts using sequential sampling.

problem Optimizing selection of top-m designs across different contexts.
method Formulated as a stochastic dynamic programming problem, developed sequential sampling policy.
result Asymptotically optimal sampling ratios for efficient selection.

This paper studies the problem of identifying any kk distinct arms among the top ρρ fraction (e.g., top 5\%) of arms from a finite or infinite set with a probably approximately correct (PAC) tolerance εε. We consider two cases: (i) when the threshold of the top arms' expected rewards is known and (ii) when it is unk…

2018-10-28abs ↗pdf ↗

We consider a situation in which we see samples in Rd\mathbb{R}^d drawn i.i.d. from some distribution with mean zero and unknown covariance A. We wish to compute the top eigenvector of A in an incremental fashion - with an algorithm that maintains an estimate of the top eigenvector in O(d) space, and incrementally adju…

2015-01-15abs ↗pdf ↗

Optimal top-2 method improves best arm identification with reduced error.

problem Identifying the arm with the highest mean in a set of arms.
method A novel top-2 algorithm that pulls the empirical best arm with probability β and the challenger arm otherwise.
result The proposed algorithm matches the information theoretic lower bound on sample complexity as δ approaches 0.

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.

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 ↗

WeakNAS uses a set of weaker predictors to find top architectures with fewer samples.

problem Finding the best neural architecture with heavy computation costs.
method Proposes a paradigm shift from fitting the whole architecture space to progressively fitting a search path through a set of weaker predictors.
result WeakNAS produces coarse-to-fine iteration to gradually refine the ranking of sampling space, requiring fewer samples to find top-performance architectures.

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 ↗

Paper recovers top-two answers and confusion probability in multi-choice crowdsourcing.

problem Recovering top-two answers and confusion probability in multi-choice crowdsourcing tasks.
method Proposes a two-stage inference algorithm based on a model quantifying task difficulty and worker reliability.
result Achieves minimax optimal convergence rate and outperforms other algorithms in synthetic and real data experiments.

This work provides improved guarantees for streaming principle component analysis (PCA). Given A1,,AnRd×dA_1, \ldots, A_n\in \mathbb{R}^{d\times d} sampled independently from distributions satisfying E[Ai]=Σ\mathbb{E}[A_i] = Σ for Σ0Σ\succeq \mathbf{0}, this work provides an O(d)O(d)-space linear-time single-pass streaming algorithm …

2016-02-22abs ↗pdf ↗

Unified algorithm for efficient pure exploration using dual variables.

problem Efficiently achieving a specific goal through adaptive experimentation.
method Introducing dual variables to derive optimal allocation conditions, leading to Information-Directed Selection.
result Top-two Thompson sampling attains asymptotic optimality for Gaussian best-arm identification.

We introduce the probably approximately correct (PAC) \emph{Battling-Bandit} problem with the Plackett-Luce (PL) subset choice model--an online learning framework where at each trial the learner chooses a subset of kk arms from a fixed set of nn arms, and subsequently observes a stochastic feedback indicating prefere…

2018-08-12abs ↗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.

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 ↗

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 ↗

The paper studies privacy-protected BAI with fixed confidence, deriving lower bounds and proposing an adaptive algorithm.

problem Privacy-protected Best Arm Identification (BAI) in data-sensitive applications.
method Derives lower bounds on sample complexity, proposes AdaP-TT algorithm with Laplace noise, and validates with experiments.
result AdaP-TT matches the sample complexity lower bound up to constants in the high-privacy regime.

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.

A new method to learn EBM in latent space for better data modeling.

problem Efficiently modeling data with complex structures.
method Joint learning of latent space EBM and top-down network using maximum likelihood and MCMC sampling.
result Simple EBM in latent space captures data regularities effectively and performs well in generation and anomaly detection.

BCI system improves word selection efficiency using sequential best-arm identification.

problem Conventional non-adaptive BCI paradigms lead to a lengthy learning process.
method Casted as sequence of best-arm identification tasks in multi-armed bandits, using pre-trained LLMs and STTS algorithm.
result Substantial empirical improvement in word selection efficiency demonstrated.

Knowledge distillation (KD) is a well-known method to reduce inference latency by compressing a cumbersome teacher model to a small student model. Despite the success of KD in the classification task, applying KD to recommender models is challenging due to the sparsity of positive feedback, the ambiguity of missing fee…

2019-11-13abs ↗pdf ↗

Efficiently allocate budgets for LLM-assisted virtual screening to reduce costs.

problem Reducing the cost of evaluating alternatives in large-scale screening tasks.
method Propose a top-mm greedy evaluation mechanism and the EFG-mm algorithm for efficient budget allocation.
result Prove that EFG-mm is both sample-optimal and consistent in large-scale virtual screening.

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.

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 have recently introduced the ``thermal optimal path'' (TOP) method to investigate the real-time lead-lag structure between two time series. The TOP method consists in searching for a robust noise-averaged optimal path of the distance matrix along which the two time series have the greatest similarity. Here, we gener…

2006-07-22abs ↗pdf ↗