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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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173346519692 · Jun 202019922001200920172026
48 results for Directional Prior Information

IDS improves sparse linear bandits by balancing information and regret.

problem Sparse linear bandits in high-dimensional decision-making.
method Information-directed sampling (IDS) with Bayesian regret bounds and empirical Bayesian sparse posterior sampling.
result IDS nearly matches existing lower bounds and significantly reduces regret.

The paper proposes a method to integrate prior information into penalized regression.

problem Improving predictive performance in high-dimensional tasks with prior information.
method Integrating multiple sources of prior information into penalized regression.
result The method improves predictive performance, as shown by simulations and applications.

New algorithms detect and estimate rank-one signals with prior directional information.

problem Detecting and estimating rank-one signals with directional prior information.
method Construct nonlinear Laplacians and examine top eigenvalues and eigenvectors.
result Nonlinear Laplacian algorithms outperform direct spectral methods for biased signals.

A new algorithm STE for model-based RL improves learning rates.

problem Sparse rewards and computational intractability of estimating information gain.
method Developed a novel algorithm based on Stein Information Directed Exploration (STE)E.
result Achieves sublinear Bayesian regret, outperforming prior approaches.

Bayesian metalearning improves performance in linear bandits with misspecified priors.

problem Improper priors lead to suboptimal performance in sequential decision-making.
method Proves performance bounds for metalearning priors in stochastic linear bandits and develops a metalearning algorithm.
result Metalearning can improve performance by learning the prior from multiple tasks.

PIPA aligns preferences without reinforcement learning, improving language model performance.

problem Aligning preferences in language models efficiently and without reinforcement learning.
method Formulates preference alignment as a Maximum Likelihood Estimation problem with prior constraints.
result PIPA algorithms achieve up to 10% performance improvement on benchmarks.

Spatial information is not always necessary for spatio-temporal models.

problem The necessity of including spatial information in spatio-temporal models.
method Comparison of spatial agnostic neural networks with state-of-the-art models on ten datasets.
result Spatial information is not always needed in most spatio-temporal models.

New bounds on IDS for RL show how to balance computation and learning efficiency.

problem Understanding and optimizing information-directed sampling (IDS) for reinforcement learning.
method Developed novel information-theoretic tools to bound information ratio and cumulative information gain.
result Derived prior-free Bayesian regret bounds for IDS in tabular finite-horizon MDPs and improved computational efficiency.

AutoElicit uses LLMs to quickly create expert priors for predictive models.

problem Creating accurate priors for predictive models is time-consuming and costly.
method AutoElicit extracts knowledge from LLMs to construct priors for predictive models.
result AutoElicit yields priors that reduce error and save labelling effort.

Privacy subsidy found in market trading with noisy direction signals.

problem Analyzing welfare and bid-ask spread in a market with privacy mechanisms.
method Closed-form derivation of bid-ask spread and welfare under flip-noise direction observation.
result Privacy subsidy of μηΔμηΔ from liquidity pool to traders, robust across models.

A novel circuit motif uses sister cells for inference with correlated priors.

problem Structured priors in neural systems pose architectural challenges.
method Proposes a novel circuit motif using sister cells to implement correlated priors without direct interactions.
result Demonstrates the efficacy of correlated priors for inference in noisy environments.

Proposes a method to identify causal relationships using background knowledge.

problem Identifying causal relationships in the presence of background knowledge.
method Learning local structure using all types of causal background knowledge (direct, non-ancestral, ancestral). Criteria for identifying causal relationships based on local structure.
result Effective and efficient method for local structure learning and causal relationship identification.

Develops a new MCMC-based Wishart prior for Gaussian Process covariance matrix.

problem Difficult inference for multivariate Gaussian Processes with multiple lengthscale parameters.
method Introduces a self-assembled Wishart prior and uses MCMC for Bayesian inference on kernel hyperparameters.
result Demonstrates the effectiveness of the new prior in GP-based learning with empirical results.

Bitcoin option prices reflect both market maker supply and trader demand, especially from those with insider information.

problem Understanding how market prices of bitcoin options are influenced by both market makers and informed traders.
method Analysis of Deribit options tick-level data to identify supply and demand effects.
result At-the-money option prices are driven by volatility traders, while out-of-the-money options are influenced by both volatility traders and those with insider information.

Directed graphs occur throughout statistical modeling of networks, and exchangeability is a natural assumption when the ordering of vertices does not matter. There is a deep structural theory for exchangeable undirected graphs, which extends to the directed case via measurable objects known as digraphons. Using digraph…

2015-10-28abs ↗pdf ↗

Bayesian method uses data spectra to estimate non-sparse high-dimensional models.

problem Handling many parameters in high-dimensional Bayesian statistics.
method Data-adaptive Gaussian prior aligned with leading eigenvectors of sample covariance.
result Posterior contraction rates reveal the effect of spectral mass on prediction error.

The inference of deep hierarchical models is problematic due to strong dependencies between the hierarchies. We investigate a specific transformation of the model parameters based on the multivariate distributional transform. This transformation is a special form of the reparametrization trick, flattens the hierarchy a…

2018-12-11abs ↗pdf ↗

New algorithm achieves optimal regret in average reward MDPs without prior bias information.

problem Achieving optimal regret in average reward MDPs with computational efficiency and without prior bias information.
method Projective Mitigated Extended Value Iteration (PMEVI) to compute bias-constrained optimal policies efficiently.
result First tractable algorithm with minimax optimal regret of O~(sp(h)SAT)\widetilde{\mathrm{O}}(\sqrt{\mathrm{sp}(h^*) S A T}).

Improved Monte-Carlo models by constraining mutual information between latent and observable variables.

problem Training density models leads to latent variables being useless.
method Weave tighter Monte-Carlo bounds with mutual information constraints.
result Improved training of models with continuous and discrete latent variables.

A new geometric concept, the dead direction, bridges singular learning theory and information geometry.

problem The gap between singular learning theory and information geometry.
method Introducing the dead direction, a unit vector along degenerating Fisher metric, and showing its KL order can be recovered.
result The KL order of the dead direction can be recovered as the decay rate of the directional Fisher curvature, providing a handle on singular geometry.

b-LOAD extends local causal discovery with prior knowledge, improving causal effect estimation.

problem Local causal discovery struggles in data-scarce settings due to uncertainty and incomplete neighborhoods.
method b-LOAD incorporates prior knowledge directly into local structure learning, using Meek's rules to refine discovery.
result b-LOAD refines the admissible equivalence class and enlarges identifiable causal queries, improving causal effect estimation.

New method improves Robbins-Monro algorithm convergence with prior information.

problem Improving convergence speed of Robbins-Monro algorithm.
method Integrates prior information into Robbins-Monro iteration without regression model.
result Prior-information Robbins-Monro sequence converges faster than standard.

Additive Bayesian networks are types of graphical models that extend the usual Bayesian generalized linear model to multiple dependent variables through the factorisation of the joint probability distribution of the underlying variables. When fitting an ABN model, the choice of the prior of the parameters is of crucial…

2018-09-18abs ↗pdf ↗

Physics-informed neural networks improve by measuring effective dimensionality of constraints.

problem Task interference in physics-informed neural networks due to shared parameter space.
method Introduce effective dimensionality (deffd_{eff}) as an operator invariant to quantify constraints.
result Effective dimensionality measures unconstrained parameter directions, independent of network architecture.

New IDS algorithm refines parameter norm bounds for better bandit performance.

problem Frequentist IDS requires tight norm bounds, which are often unavailable in practice.
method Iteratively refines a high-probability upper bound on true parameter norm using data.
result Regret bounds independent of assumed parameter norm, outperforming state-of-the-art algorithms.

Deep Gaussian Processes model functions on DAGs with partially observed data.

problem Reconstructing and inferring from partially observed functions on DAGs with noisy measurements.
method Place priors over functions on DAGs, theoretically study prior-collapse behavior, and offer a structured variational approximation.
result Almost-sure lower bounds on the preservation of input distinctions and interpretability of simulator hierarchies.

Statsformer validates and adapts LLM-derived semantic priors for improved supervised learning.

problem Unreliable semantic priors from LLMs can degrade supervised learning performance.
method Adapts LLM-derived feature scores into a family of learner-specific prior-injection mechanisms, calibrating their influence using out-of-fold validation.
result Improves prediction performance by adaptively downweighting unreliable LLM priors, ensuring a guardrailed statistical learning system.

The choice of sentence encoder architecture reflects assumptions about how a sentence's meaning is composed from its constituent words. We examine the contribution of these architectures by holding them randomly initialised and fixed, effectively treating them as as hand-crafted language priors, and evaluating the resu…

2019-10-04abs ↗pdf ↗

Develops methods for constructing parameter priors in DAG models.

problem Constructing parameter priors for model choice among DAG models.
method Introduces assumptions and methods for parameter priors construction and marginal likelihood computation.
result The only parameter prior for complete Gaussian DAG models that satisfies assumptions is the normal-Wishart distribution.