Research
On-device research index

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.

168,657 papers · 148 categories

Trend · papers per month

247495742989 · Jun 202019922001200920172026
48 results for algorithmic probability

New algorithms estimate and test collision probability with near-optimal sample complexity.

problem Estimating and testing collision probability in discrete distributions.
method Developed algorithms for (α,β)(α, β)-local differential privacy and sequential testing.
result Achieved nearly optimal sample complexity for estimating and testing collision probability.

Simplifies machine learning validation using kNN and conditional probability algorithms.

problem Validating machine learning models in practical applications.
method Reformulated regression and classification problems using kNN and conditional probability algorithms.
result Online capability and reduced memory usage compared to kNN.

Study on optimal rates for sequential probability assignment using smoothed analysis.

problem Optimal rates for sequential probability assignment under smoothed adversaries.
method General-purpose reduction from minimax rates to transductive learning, development of an efficient algorithm using MLE oracle.
result Optimal (logarithmic) fast rates for parametric and finite VC dimension classes, sublinear regret for general classes.

OPAA estimates probability densities using functional analysis.

problem Estimating probability density functions efficiently and accurately.
method OPAA uses a parallelizable algorithm based on functional analysis to estimate probability distributions.
result OPAA provides an efficient method to estimate probability density functions and normalizing weights.

New algorithms minimize MMD to approximate probability measures efficiently.

problem Approximating probability measures by representative point sets.
method Sequential greedy minimization of maximum mean discrepancy (MMD) over candidate sets, with mini-batch variants.
result Consistency of proposed algorithms and mini-batch variants established.

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.

New algorithm FLUTE achieves uniform-PAC convergence in RL with linear approx.

problem RL with linear function approximation lacks uniform-PAC guarantees.
method FLUTE algorithm with minimax value function estimator and multi-level partition scheme.
result Uniform-PAC convergence to optimal policy with high probability.

An algorithm finds the most probable best solution in uncertain parameter settings.

problem Finding the most probable best solution in uncertain parameter settings.
method Designing an efficient sequential sampling algorithm to learn the most probable best (MPB) and optimizing the computing budget allocation.
result The algorithms achieve the optimal sampling ratios as the simulation budget increases and significantly improve empirical performance.

We consider the problem of selecting a seed set to maximize the expected number of influenced nodes in the social network, referred to as the \textit{influence maximization} (IM) problem. We assume that the topology of the social network is prescribed while the influence probabilities among edges are unknown. In order …

2019-11-25abs ↗pdf ↗

New algorithms achieve high-probability parameter-free regret in online convex optimization with heavy-tailed data.

problem Achieving high-probability parameter-free regret in online convex optimization with heavy-tailed data.
method Developed new regularization techniques to handle exponentially large iterates and heavy-tailed subgradients.
result Achieved regret bound of O(uT1/plog(1/δ))O(\| \mathbf{u} \| T^{1/\mathfrak{p}} \log (1/δ)) with high probability for subgradients with bounded pthp^{th} moments.

A key prerequisite to optimal reasoning under uncertainty in intelligent systems is to start with good class probability estimates. This paper improves on the current best probability estimation trees (Bagged-PETs) and also presents a new ensemble-based algorithm (MOB-ESP). Comparisons are made using several benchmark …

2012-07-11abs ↗pdf ↗

New algorithm reduces high-probability regret for time-varying feedback graphs.

problem High-probability regret bounds for adversarial bandits with time-varying feedback graphs.
method Online mirror descent framework with innovative techniques for pessimistic loss estimators.
result Achieves optimal high-probability regret bound for general and weakly observable graphs.

This paper presents a methodology and numerical algorithms for constructing accelerated gradient flows on the space of probability distributions. In particular, we extend the recent variational formulation of accelerated gradient methods in (wibisono, et. al. 2016) from vector valued variables to probability distributi…

2019-01-10abs ↗pdf ↗

Master algorithm selects best contextual bandit from a collection.

problem Model selection in stochastic contextual bandit setting.
method Random selection with probability adjustment based on comparison of cumulative rewards.
result Achieves the same regret rate as the best candidate in a collection of black-box algorithms.

We introduce Fisher consistency in the sense of unbiasedness as a desirable property for estimators of class prior probabilities. Lack of Fisher consistency could be used as a criterion to dismiss estimators that are unlikely to deliver precise estimates in test datasets under prior probability and more general dataset…

2017-01-19abs ↗pdf ↗

Paper simplifies calculating causation probabilities and ranks root causes.

problem Computational challenges in assessing causal relationships.
method Algorithmic simplifications and novel methodological framework for Root Cause Analysis.
result Significantly reduces computational complexity for calculating causation probabilities.

This paper examines how different decoding algorithms for LLMs align with various goals.

problem Consistency of decoding algorithms with different goals in LLMs.
method Analysis of greedy, lookahead, random sampling, and temperature-scaled random sampling algorithms.
result Random sampling is consistent with the true probability distribution, but other goals require optimal algorithms for specific probability distributions.

The paper proposes a new method to approximate Wasserstein-Fisher-Rao flows using Monte Carlo techniques.

problem Sampling from probability distributions and minimizing Kullback-Leibler divergence.
method Sequential Monte Carlo approximations of Wasserstein-Fisher-Rao gradient flows.
result The proposed method outperforms other Monte Carlo algorithms in certain conditions.

Machine learning provides algorithms that can learn from data and make inferences or predictions on data. Stochastic acceptors or probabilistic automata are stochastic automata without output that can model components in machine learning scenarios. In this paper, we provide dynamic programming algorithms for the comput…

2018-12-23abs ↗pdf ↗

Algorithm finds safe zones in policy Markov Decision Processes to limit trajectory escape.

problem Finding safe zones in policy Markov Decision Processes to limit trajectory escape.
method Bi-criteria approximation learning algorithm with polynomial sample complexity.
result Achieves almost 2 approximation for both escape probability and safe zone size.

This paper deals with the design of a sensing matrix along with a sparse recovery algorithm by utilizing the probability-based prior information for compressed sensing system. With the knowledge of the probability for each atom of the dictionary being used, a diagonal weighted matrix is obtained and then the sensing ma…

2019-10-27abs ↗pdf ↗

New algorithms for efficient return distribution approximation in reinforcement learning.

problem Efficiently approximating unknown return distributions in reinforcement learning.
method Introduced novel distributional dynamic programming algorithms for arbitrary probabilistic reward mechanisms.
result Proved error bounds for the algorithms in Wasserstein and Kolmogorov--Smirnov distances.

This paper compares ML algorithms for PD prediction, finding XGBoost to be the most effective.

problem Predicting the probability of default in loan portfolios.
method Comparison of five ML algorithms (Random Forests, Decision Trees, XGBoost, Gradient Boosting, AdaBoost) with logistic regression.
result XGBoost outperforms other ML algorithms for PD prediction.

A new algorithm approximates logistic regression probabilities efficiently.

problem Efficiently approximating probabilities in logistic regression for large datasets.
method Randomized sampling-based algorithm with leverage scores.
result Accurate approximations to estimated probabilities with smaller sample sizes.

Improved algorithm for selecting a hypothesis locally privately with fewer queries.

problem Locally private hypothesis selection with minimal privacy-preserving queries.
method Introduces a Scheffé graph to reduce query complexity for hypothesis selection.
result Algorithm performs O~(k3/2)\tilde{O}(k^{3/2}) queries, improving on previous methods.

New algorithm for competing influence spread in unknown networks.

problem Maximizing influence spread in a social network with unknown probabilities.
method Combinatorial multi-armed bandit (CMAB) framework, Triggering Probability Modulated (TPM) condition, OCIM-TS, OCIM-OFU, OCIM-ETC.
result Sublinear Bayesian and frequentist regret for OCIM-TS and OCIM-OFU, respectively.