arXiv research

Algorithm extracts non-monotonic rules from statistical models using HUIM.

Study non-monotonic loss functions in CRC, achieving valid risk control with large calibration samples.

We present a heuristic based algorithm to induce \textit{nonmonotonic} logic programs that will explain the behavior of XGBoost trained classifiers. We use the technique based on the LIME approach to locally select the most important features contributing to the classification decision. Then, in order to explain the mo…

The paper tackles non-monotonic learning performance and proposes algorithms to make models more monotone.

Improved analysis of extragradient methods for structured VIPs.

Productivity and credit limits affect aggregate production in non-monotonic ways.

Study derives new equation for reserves in non-monotone information scenarios.

New risk control method for non-monotonic losses in complex parameters.

GradaGrad adapts learning rate non-monotonically, overcoming AdaGrad's step size decrease.

Paper tackles non-monotone DR-submodular maximization with approximation and regret guarantees.

Study learns a neuron with non-monotonic activation functions.

Study shows rigidity for entropy minimizers in non-monotone cases.

The information dynamics in finance and insurance applications is usually modeled by a filtration. This paper looks at situations where information restrictions apply such that the information dynamics may become non-monotone. A fundamental tool for calculating and managing risks in finance and insurance are martingale…

FLOWGEM generates complete datasets from incomplete data with non-monotone MAR missingness.

In this work we construct Calabi quasi-morphisms on the universal cover of the group Ham(M) of Hamiltonian diffeomorphisms for some non-monotone symplectic manifolds. This complements a result by Entov and Polterovich which applies in the monotone case. Moreover, in contrast to their work, we show that these quasi-morp…

Study finds non-monotonic Value of Information in dynamic multi-market monopoly.

New algorithm maximizes non-monotone adaptive submodular functions in linear time.

A Closer Look at Disentangling in β-VAE shows non-monotonic inference performance.

Paper tackles non-monotonic resource utilization in sequential decision-making.

New findings show privacy affects generalization error in a non-monotonic way.

A mathematical analysis of the distribution of voting power in the Council of the European Union operating according to the Treaty of Lisbon is presented. We study the effects of Brexit on the voting power of the remaining members, measured by the Penrose--Banzhaf Index. We note that the effects in question are non-mon…

The paper extends ERP framework to non-monotonic payoffs and short selling bans.

Study on MMV in jump-diffusion models resolves MV's non-monotonicity issues.

New method speeds up model selection for complex scientific tasks.

Paper tackles online DR-submodular maximization with various convex sets.

The paper analyzes Variable Annuities with surrender charges, providing a pricing formula and optimal exercise boundary.

We propose non-stationary spectral kernels for Gaussian process regression. We propose to model the spectral density of a non-stationary kernel function as a mixture of input-dependent Gaussian process frequency density surfaces. We solve the generalised Fourier transform with such a model, and present a family of non-…

Researchers propose a non-monotone quantum natural gradient for quantum systems.

Study optimal portfolio for households with two goals: random and fixed deadlines.

The paper improves PCS approximation for ranking and selection under limited simulation budgets.

Insider trading is reduced when penalized, affecting expected penalties in a non-monotone way.

New algorithms avoid non-monotonic risk curves in statistical learning.

Study tackles criterion collapse in learning criteria, showing conditions for loss minimization.

New method solves nonseparable stochastic control problems.

Standard sequential generation methods assume a pre-specified generation order, such as text generation methods which generate words from left to right. In this work, we propose a framework for training models of text generation that operate in non-monotonic orders; the model directly learns good orders, without any ad…

Paper tackles stochastic $k$-submodular bandits with full feedback, achieving sublinear regret.

The paper explores capital allocation using Euler formula with VaR and ES, revealing non-monotonicity and providing estimation methods.

New method tackles online DR-submodular maximization with improved regret guarantees.

The paper proposes a method to evaluate superhuman models by checking for logical inconsistencies.

New convergence guarantees for SGDA and SCO under expected co-coercivity.

Gradient descent on neural nets often operates at the Edge of Stability, where loss behavior is complex but loss decreases over time.

Wireless sensor networks are composed of distributed sensors that can be used for signal detection or classification. The likelihood functions of the hypotheses are often not known in advance, and decision rules have to be learned via supervised learning. A specific such algorithm is Fisher discriminant analysis (FDA),…

In this paper we consider backward stochastic differential equations with time-delayed generators of a moving average type. The classical framework with linear generators depending on $(Y(t),Z(t))$ is extended and we investigate linear generators depending on $(\frac{1}{t}\int_0^tY(s)ds, \frac{1}{t}\int_0^tZ(s)ds)$. We…

Empirical time series of inter-event or waiting times are investigated using a modified Multifractal Detrended Fluctuation Analysis operating on fluctuations of mean detrended dynamics. The core of the extended multifractal analysis is the non-monotonic behavior of the generalized Hurst exponent $h(q)$ -- the fundament…

Empirical risk minimizers can be non-monotonic in learning curves.

Large stepsize GD for logistic regression converges faster than expected.

The paper develops algorithms to restore monotonicity in non-monotone functions.

Overview of high-dimensional dynamical systems and their applications to machine learning.