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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.

168,786 papers · 148 categories

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48 results for Tuning Rules

New tuning rules for Metropolis algorithms derived from Bayesian large-sample asymptotics.

problem Optimal scaling in random-walk Metropolis algorithms under realistic assumptions.
method Large-sample asymptotics to derive weak convergence results and tuning guidelines.
result Tuning guidelines consistent with previous ones when target density is product form, accounting for correlation structure.

This work improves Bayesian Optimization for setting DNN hyper-parameters.

problem Manual setting of DNN hyper-parameters is error-prone and computationally expensive.
method Combines Bayesian Optimization with tuning rules to reduce search space and improve accuracy.
result Improves efficiency and accuracy of hyper-parameter tuning for deep neural networks.

Two local learning rules are investigated to avoid weight transport in neural networks.

problem Local learning rules that avoid weight transport are unstable and require tuning.
method Investigated two non-local learning rules and a more robust local rule.
result Non-local learning rules match state-of-the-art performance and operate effectively in noisy updates.

Generative networks minimize predictive scoring rules for probabilistic forecasting.

problem Evaluating and improving probabilistic forecasts using generative models.
method Training generative networks to minimize predictive-sequential scoring rules on temporal sequences.
result Our method outperforms adversarial approaches in probabilistic calibration.

A new principle for optimizer selection improves training speed and performance.

problem Finding the best optimizer hyperparameters for faster training.
method Formulate optimizer selection as maximizing the expected drop rate in loss, treating gradients and updates as signals and an optimizer as a causal filter.
result Greedy optimizer selection yields stable and effective momentum rules.

NDI enables high-quality QSM without parameter tuning.

problem Quantitative Susceptibility Mapping (QSM) with regularization tuning issues.
method Nonlinear Dipole Inversion (NDI) using a physics-based forward model and a Variational Network (VN).
result NDI achieves high-quality QSM from as few as 2-direction data.

Unified quadrature framework for large-scale kernel machines.

problem Efficiently approximating kernel functions for large-scale machine learning.
method Deterministic and randomized interpolatory rules for numerical integration of kernel functions.
result The proposed method reduces the number of nodes needed for accurate kernel approximation.

Bayesian method infers local rules for collective animal movement.

problem Learn local rules governing long-term group behaviors.
method Bayesian Inverse Reinforcement Learning with Linearly-Solvable Markov Decision Process.
result Recover true costs and find value of collective movement.

We consider the setting of sequential prediction of arbitrary sequences based on specialized experts. We first provide a review of the relevant literature and present two theoretical contributions: a general analysis of the specialist aggregation rule of Freund et al. (1997) and an adaptation of fixed-share rules of He…

2012-07-09abs ↗pdf ↗

Interpretable classifiers have recently witnessed an increase in attention from the data mining community because they are inherently easier to understand and explain than their more complex counterparts. Examples of interpretable classification models include decision trees, rule sets, and rule lists. Learning such mo…

2019-05-01abs ↗pdf ↗

We introduce a technique that can automatically tune the parameters of a rule-based computer vision system comprised of thresholds, combinational logic, and time constants. This lets us retain the flexibility and perspicacity of a conventionally structured system while allowing us to perform approximate gradient descen…

2018-08-01abs ↗pdf ↗

The random forest algorithm (RF) has several hyperparameters that have to be set by the user, e.g., the number of observations drawn randomly for each tree and whether they are drawn with or without replacement, the number of variables drawn randomly for each split, the splitting rule, the minimum number of samples tha…

2018-04-10abs ↗pdf ↗

Approximate dynamic programming (ADP) has proven itself in a wide range of applications spanning large-scale transportation problems, health care, revenue management, and energy systems. The design of effective ADP algorithms has many dimensions, but one crucial factor is the stepsize rule used to update a value functi…

2014-07-10abs ↗pdf ↗

Here, we study different update rules in stochastic gradient descent (SGD) for online forecasting problems. The selection of the learning rate parameter is critical in SGD. However, it may not be feasible to tune this parameter in online learning. Therefore, it is necessary to have an update rule that is not sensitive …

2019-05-21abs ↗pdf ↗

The paper develops a stationary-distribution theory for Random Forest ensemble size selection.

problem Determining the optimal number of trees in Random Forests.
method Modeling the ensemble size as a birth-death Markov chain and deriving its stationary distribution.
result The stationary ensemble size BB_* scales as O(ε2)O(\varepsilon^{-2}) as ε0\varepsilon\downarrow 0.

Meta-analysis improves personalized treatment rules across multiple sites.

problem Lack of generalizability in learning individualized treatment rules across different medical sites.
method Developed a method for individual-level meta-analysis of ITRs, borrowing sign-coherency information between sites.
result Jointly learned site-specific ITRs with improved generalizability.

A spherical topological manifold of dimension n-1 forms a prototile on its cover, the (n-1)-sphere. The tiling is generated by the fixpoint-free action of the group of deck transformations. By a general theorem, this group is isomorphic to the first homotopy group. Multiplicity and selection rules appear in the form of…

2008-10-19abs ↗pdf ↗

A novel distributed adaptive NN classifier for large data sets.

problem Handling large and distributed data for efficient classification.
method Distributed adaptive nearest neighbor classifier with stochastic tuning parameter selection and early stopping rule.
result Achieves nearly optimal convergence rate under large sub-sample sizes.

Proposes RPG-RT for red-teaming T2I models without internal access.

problem Evaluating T2I models' security through red-teaming is challenging due to their closed-source nature and unknown defense mechanisms.
method Integrates LLM and rule-based preference modeling to dynamically adapt to unknown defense mechanisms.
result Demonstrates superior and practical approach for red-teaming T2I models.

EB-TCε identifies the best arm with ε confidence in stochastic bandits.

problem Identifying the best arm in stochastic bandits with a fixed level of confidence.
method EB-TCε is a novel sampling rule for ε-best arm identification in stochastic bandits.
result EB-TCε is the first anytime algorithm for fixed confidence or fixed budget identification.

Proposes robust ITRs integrating multiple datasets to handle posterior shift.

problem Posterior shift in conditional outcome distributions between source and target populations.
method Distributionally robust approach with closed-form solution and adaptive uncertainty tuning.
result Achieves superior performance compared to existing methods in simulations and real-data applications.

Paper proposes a new framework for individualized treatment rules that generalize better across different distributions.

problem Existing individualized treatment rules may not generalize well when training and testing distributions differ.
method Distributionally robust individualized treatment rules (DR-ITR) framework that maximizes worst-case value function across close distributions.
result Calibrated DR-ITR outperforms standard ITR in generalizability.

Improves robustness of high-dimensional regression with rank objective and group lasso regularization.

problem Heavy-tailed noise and outliers in high-dimensional regression.
method Non-smooth Wilcoxon score based rank objective, group lasso regularization, data-driven tuning rule, proximal augmented Lagrangian method.
result Robust estimator with finite-sample error bound and efficient computational method.

A new type of distributional regression tree uses soft split rules for better predictive performance.

problem Estimating complete conditional distributions in regression.
method Distributional adaptive soft regression trees using multivariate soft split rules.
result The method outperforms various benchmark methods, especially in complex non-linear interactions.

We introduce a new weight-decay scaling rule to maintain sublayer gains across different widths in modern scale-invariant architectures.

problem In modern scale-invariant architectures, training quickly enters a steady state where normalization layers create backward scale sensitivity, degrading learning-rate transfer.
method We introduce a weight-decay scaling rule for AdamW that preserves sublayer gain across widths by equalizing the effective learning rate.
result Our empirical weight-decay scaling rule λ2dλ_2\propto \sqrt{d} approximately keeps sublayer gains width invariant, enabling zero-shot transfer of learning rate and weight decay.

A cubing strategy identifies stable hyperparameter regions for uncertainty quantification in spatial deep learning.

problem Uncertainty quantification in spatial deep learning models.
method Cubing-based diagnostic framework to recursively partition hyperparameter space and evaluate regions using scoring rules.
result Our approach produces competitive or superior predictive intervals compared to a statistical baseline model.

Machine learning algorithms frequently require careful tuning of model hyperparameters, regularization terms, and optimization parameters. Unfortunately, this tuning is often a "black art" that requires expert experience, unwritten rules of thumb, or sometimes brute-force search. Much more appealing is the idea of deve…

2012-06-13abs ↗pdf ↗

Transformers learn to generalize unseen tasks by composing self-attention layers.

problem How Transformers generalize to unseen, out-of-distribution tasks.
method Examined synthetic examples and pretrained LLMs, focusing on induction heads and latent subspace.
result Transformers can learn hidden rules for unseen tasks by composing self-attention layers, achieving OOD generalization.

We can define a neural network that can learn to recognize objects in less than 100 lines of code. However, after training, it is characterized by millions of weights that contain the knowledge about many object types across visual scenes. Such networks are thus dramatically easier to understand in terms of the code th…

2019-07-15abs ↗pdf ↗

Proposes a low-cost method to set hyperparameters using optimized default values.

problem Challenges of setting hyperparameters by trial and error, leading to subjective and inefficient results.
method Generates optimized default values using a small set of values that outperform existing defaults and tuned values.
result New default values deliver better predictive performance and are competitive with tuned values, making them easier to use.

VORACE uses random classifiers to vote for the best class, saving time and expertise.

problem Finding the best classifier for a dataset is costly and requires domain expertise.
method Randomly generated classifiers vote to determine the best class ranking.
result VORACE outperforms state-of-the-art methods on various datasets.

Supervised linear feature extraction can be achieved by fitting a reduced rank multivariate model. This paper studies rank penalized and rank constrained vector generalized linear models. From the perspective of thresholding rules, we build a framework for fitting singular value penalized models and use it for feature …

2010-07-19abs ↗pdf ↗