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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.

169,181 papers · 148 categories

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69137206274 · Jun 202019922001200920182026
48 results for Pseudorandom inputs

Pseudorandom inputs in diffusion models affect generation quality.

problem Pseudorandom inputs in diffusion models can be learned and affect model performance.
method Used a small multilayer perceptron to predict next values in pseudorandom orbits and a diffusion probe to replace real images with random tensors.
result Pseudorandom inputs can produce markedly different diffusion losses and generation quality.

New findings show learning deeper neural networks is hard even with Gaussian inputs and non-degenerate weights.

problem The computational complexity of learning neural networks, especially deeper ones.
method Smoothed analysis framework and local pseudorandom generators.
result Learning depth-3 ReLU networks under Gaussian input distribution is hard even if weight matrices are non-degenerate.

New framework improves text watermark detection under imperfect pseudorandomness.

problem Structured dependence in generated text from language models causes Type I error control issues.
method Hierarchical two-layer partition, minimal units, non-asymptotic efficiency measure, minimax hypothesis testing.
result Closed-form optimal rules for watermark detection under imperfect pseudorandomness.

Generation of pseudorandom numbers from different probability distributions has been studied extensively in the Monte Carlo simulation literature. Two standard generation techniques are the acceptance-rejection and inverse transformation methods. An alternative approach to Monte Carlo simulation is the quasi-Monte Carl…

2014-03-22abs ↗pdf ↗

Arora, Barak, Brunnermeier, and Ge showed that taking computational complexity into account, a dishonest seller could strategically place lemons in financial derivatives to make them substantially less valuable to buyers. We show that if the seller is required to construct derivatives of a certain form, then this pheno…

2010-06-02abs ↗pdf ↗

Quantum speedup for Monte Carlo integration reduces integrand calls.

problem Reducing the number of calls to the integrand subroutine in high-dimensional Monte Carlo integration.
method Combining nested quantum amplitude estimation with pseudorandom numbers for separable integrands.
result Significant reduction in the number of integrand calls for high-dimensional integration.

The paper shows how shared random seeds can reduce variance in machine learning evaluations.

problem The statistical structure of comparative evaluation under shared random seeds is not well understood.
method An extended learning-based multi-agent economic simulator was used to demonstrate the effects of shared random seeds on variance reduction.
result Pairing seeds can reduce variance in machine learning evaluations, especially when outcomes are positively correlated at the seed level.

Estimates proportions of LLM-generated text in mixed documents.

problem Estimating the proportion of text generated by a pre-specified LLM in mixed documents.
method Developed estimators for two observation regimes: full observation and pivotal reduction, and established sample complexity bounds.
result Full observation estimators require fewer samples than pivotal reduction estimators.

New findings suggest minimax optimality doesn't guarantee distribution learning for GANs.

problem Understanding when GANs can truly learn the underlying distribution.
method Using cryptographic assumptions and ReLU network generators, the paper shows that achieving minimax optimality is insufficient for distribution learning.
result Achieving minimax optimality is insufficient for distribution learning in the usual statistical sense.

Study on estimating Gumbel--Max watermark proportions in edited documents.

problem Estimating the proportion of a document generated from a watermarked LLM.
method Comparison of full observation and pivotal reduction observation regimes; development of estimators and information-theoretic lower bounds.
result Full observation yields a substantially smaller sample complexity compared to pivotal reduction.

New framework to understand and exploit curvature in deep learning loss landscapes.

problem Understanding and optimizing the loss landscape in deep learning models.
method New conceptual framework and techniques to estimate and exploit curvature of expected loss changes.
result Alice algorithm optimizes training by incorporating curvature terms and step bounds.

New concept of epiplexity quantifies useful information from data.

problem Understanding useful information content from data without unlimited computational capacity.
method Introducing epiplexity, a measure of information computationally bounded observers can learn.
result Epiplexity captures useful information content, not just randomness.

Unified method for input, data, and model uncertainty in neural networks.

problem Uncertainty in neural network inputs and outputs.
method Propagating uncertainty through inputs using a unified formulation.
result More stable decision boundaries with input noise, and propagation of input uncertainty to model outputs.

We reduce variance in RL with input-dependent baselines.

problem High variance in RL with standard baselines in input-driven environments.
method Derive and use a bias-free, input-dependent baseline; propose a meta-learning approach.
result Input-dependent baselines improve training stability and policy quality.

Partial-input models fail to detect dataset artifacts, even when they perform poorly.

problem The effectiveness of partial-input models in detecting dataset artifacts is questionable.
method Design artificial datasets and identify trivial patterns in the SNLI dataset.
result Partial-input models can solve examples previously considered hard, indicating potential dataset artifacts.

New methods handle uncertainty in identifying input regions for a black-box function.

problem Handling uncertainty in identifying input regions for a black-box function.
method Introduce a basic framework and efficient methods for LSE under input uncertainty.
result Proposed methods can be applied to various LSE challenges under input uncertainty.

Enhances construction input modeling with Bayesian deep neural networks.

problem Deriving reliable simulation input models from construction data.
method Bayesian deep neural networks integrated with multi-source construction data.
result Derives detailed input models for construction operations.

TVS-FNNs can approximate any continuous function on expanded input spaces.

problem Processing a broader range of inputs like sequences and matrices.
method Proving a universal approximation theorem for TVS-FNNs.
result TVS-FNNs can approximate any continuous function on expanded input spaces.

A new method builds sparse polynomial chaos expansions for models with dependent inputs.

problem Quantifying uncertainty in models with dependent inputs.
method Data-driven approach to construct orthonormal polynomials recursively based on input correlations.
result Reduces the number of observations and improves numerical stability and computational efficiency.

Centroid Transformers reduce memory and computation by summarizing inputs into centroids.

problem Efficiently summarize inputs with reduced memory and computation.
method Generalizes self-attention to map N inputs to M centroids (M ≤ N), reducing complexity.
result Centroid Transformers reduce memory and computation while preserving key information.

MINs learn inverse mappings for high-dimensional optimization problems.

problem Data-driven optimization with high-dimensional inputs and valid subsets.
method Model Inversion Networks (MINs) learn an inverse mapping from scores to inputs.
result MINs can scale to high-dimensional input spaces and handle both offline and active data.

IA-BMA adapts model weights to inputs for better predictions.

problem Predicting with multiple models in heterogeneous settings.
method Input adaptive Bayesian Model Averaging (IA-BMA) with an input adaptive prior and amortized variational inference.
result IA-BMA consistently delivers more accurate and better-calibrated predictions.

Framework verifies global correctness of neural networks for perception tasks.

problem Verifying robustness of neural networks is insufficient; global correctness needs to be ensured.
method Specified a state space and observation process to define the target input space. Tiled the spaces and compared ground truth and network output bounds to deliver error bounds.
result Framework can verify error bounds globally over the target input space and detect illegal inputs.

When simulating a complex stochastic system, the behavior of output response depends on input parameters estimated from finite real-world data, and the finiteness of data brings input uncertainty into the system. The quantification of the impact of input uncertainty on output response has been extensively studied. Most…

2015-07-21abs ↗pdf ↗

A new framework for differentially private ERM using input perturbation.

problem Ensuring privacy in empirical risk minimization with randomized data.
method Input perturbation where each data contributor independently randomizes their data.
result The model learned with input perturbation satisfies differential privacy and local differential privacy.

Generalizes memory and forecasting capacities for nonlinear recurrent networks with dependent inputs.

problem Understanding memory and forecasting capabilities in networks with dependent inputs.
method Formulated bounds for memory and forecasting capacities in terms of network size and input properties.
result Proved that memory capacity for linear recurrent networks with independent inputs is given by the rank of the controllability matrix.

Transforms input design for probabilistic models into optimal control of a Hamiltonian system.

problem Designing inputs for probabilistic models with intractable posterior distributions.
method Representing posterior as Hamiltonian system trajectories, solving optimal control problem.
result Parameter posterior concentrates around true parameter values.

New framework detects adversarial inputs by contrasting human interpretation with classification.

problem Deep neural networks are vulnerable to adversarial inputs, especially in security-critical applications.
method Constructs a detection framework that compares human interpretation with classification results.
result Demonstrates the effectiveness of the new framework through experiments on benchmark datasets.

SpinSVAR estimates SVAR models with sparse input, improving accuracy and scalability.

problem Estimating SVAR models with sparse input assumptions.
method SpinSVAR models input as independent Laplacian variables, enforcing sparsity and using least absolute error regression.
result SpinSVAR outperforms state-of-the-art methods in accuracy and runtime, identifying significant structural shocks.

ScieNet improves deep learning resilience to input perturbations.

problem Deep learning's poor resilience to input perturbations in real-world scenarios.
method Hybrid architecture combining SNN for contextual info extraction and DNN for classification.
result Significant improvement in accuracy on noisy and rainy images without prior training.

This research analyzes how input and output layers affect deep neural networks' resistance to adversarial attacks.

problem The vulnerability of deep neural networks to adversarial inputs, especially non-gradient based attacks.
method Analysis of three different fully connected dense network classes with manipulated input and output layers.
result Manipulating input and output layers can significantly enhance a deep neural network's robustness against adversarial attacks.