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While shrinkage is essential in high-dimensional settings, its use for low-dimensional regression-based prediction has been debated. It reduces variance, often leading to improved prediction accuracy. However, it also inevitably introduces…

We study the fundamental problem of calibrating a linear binary classifier of the form $\sigma(\hat{w}^\top x)$, where the feature vector $x$ is Gaussian, $\sigma$ is a link function, and $\hat{w}$ is an estimator of the true linear weight…

Statistics Theory · Mathematics 2025-10-03 Yufan Li , Pragya Sur

In [1], we calibrated a one-factor Cheyette SLV model with a local volatility that is linear in the benchmark forward rate and an uncorrelated CIR stochastic variance to 3M caplets of various maturities. While caplet smiles for many…

Computational Finance · Quantitative Finance 2024-08-22 Arun Kumar Polala , Bernhard Hientzsch

Accurate EMG-driven musculoskeletal (MSK) modeling is critical for biomechanics, rehabilitation, and assistive technology. However, most models calibrate parameters under a single load, ignoring the fact that tasks with similar kinematics…

Biological Physics · Physics 2025-12-23 Rajnish Kumar , Suriya Prakash Muthukrishnan , Lalan Kumar , Sitikantha Roy

The Prokof'ev Svistunov worm algorithm was originally developed for models with nearest neighbor interactions that in a high temperature expansion are mapped to systems of closed loops. In this work we present the surface worm algorithm…

High Energy Physics - Lattice · Physics 2013-04-12 Ydalia Delgado , Christof Gattringer , Alexander Schmidt

A new smoothing method for solving ? -support vector regression (?-SVR), tolerating a small error in fitting a given data sets nonlinearly is proposed in this study. Which is a smooth unconstrained optimization reformulation of the…

Computational Engineering, Finance, and Science · Computer Science 2013-12-13 Doreswamy , Chanabasayya M. Vastrad

Binwise Variance Scaling (BVS) has recently been proposed as a post hoc recalibration method for prediction uncertainties of machine learning regression problems that is able of more efficient corrections than uniform variance (or…

Machine Learning · Statistics 2023-10-25 Pascal Pernot

Optimization problems involving mixed variables (i.e., variables of numerical and categorical nature) can be challenging to solve, especially in the presence of mixed-variable constraints. Moreover, when the objective function is the result…

Optimization and Control · Mathematics 2024-12-12 Mengjia Zhu , Alberto Bemporad

We analyze the VIX futures market with a focus on the exchange-traded notes written on such contracts, in particular we investigate the VXX notes tracking the short-end part of the futures term structure. Inspired by recent developments in…

Mathematical Finance · Quantitative Finance 2021-06-15 Martino Grasselli , Andrea Mazzoran , Andrea Pallavicini

We use modifications of the Adams method and very fast and accurate sinh-acceleration method of the Fourier inversion (iFT) (S.Boyarchenko and Levendorski\u{i}, IJTAF 2019, v.22) to evaluate prices of vanilla options; for options of…

Mathematical Finance · Quantitative Finance 2024-12-23 Svetlana Boyarchenko , Sergei Levendorskiǐ

In this paper we derive and test a probability-based weighting that can balance residuals of different types in spline fitting. In contrast to previous formulations, the proposed spline error weighting scheme also incorporates a prediction…

Computer Vision and Pattern Recognition · Computer Science 2018-04-16 Hannes Ovrén , Per-Erik Forssén

We present a simplified version of the threshold dynamics algorithm given in the work of Esedoglu and Otto (2015). The new version still allows specifying N-choose-2 possibly distinct surface tensions and N-choose-2 possibly distinct…

Numerical Analysis · Mathematics 2018-07-19 Tiago Salvador , Selim Esedoglu

Optimal decision making requires that classifiers produce uncertainty estimates consistent with their empirical accuracy. However, deep neural networks are often under- or over-confident in their predictions. Consequently, methods have been…

In this paper, we consider a broad class of nonconvex and nonsmooth optimization problems, where one objective component is a nonsmooth weakly convex function composed with a linear operator. By integrating variable smoothing techniques…

Optimization and Control · Mathematics 2025-11-03 Xian-Jun Long , Kang Zeng , Gao-Xi Li , Minh N. Dao , Zai-Yun Peng

Subdivision surfaces provide an elegant isogeometric analysis framework for geometric design and analysis of partial differential equations defined on surfaces. They are already a standard in high-end computer animation and graphics and are…

Numerical Analysis · Mathematics 2018-06-04 Qiaoling Zhang , Malcolm Sabin , Fehmi Cirak

In order to overcome the drawbacks of assuming deterministic volatility coefficients in the standard LIBOR market models to capture volatility smiles and skews in real markets, several extensions of LIBOR models to incorporate stochastic…

Pricing of Securities · Quantitative Finance 2024-08-06 A. M. Ferreiro , J. A. García , J. G. López-Salas , C. Vázquez

Chemical multisensor devices need calibration algorithms to estimate gas concentrations. Their possible adoption as indicative air quality measurements devices poses new challenges due to the need to operate in continuous monitoring modes…

Artificial Intelligence · Computer Science 2020-02-14 S. De Vito , E. Esposito , M. Salvato , O. Popoola , F. Formisano , R. Jones , G. Di Francia

The paper focuses on the robust identification of geometrical and elastostatic parameters of robotic manipulator. The main attention is paid to the efficiency improvement of the identification algorithm. To increase the identification…

Robotics · Computer Science 2013-11-27 Alexandr Klimchik , Yier Wu , Gabriel ABBA , Benoît Furet , Anatol Pashkevich

The Method of Ellipcenters (ME), introduced in~\cite{ME2025} for strongly convex quadratic minimization, uses two gradient evaluations per iteration: one at the current iterate and one at a companion point on the same level set. We extend…

Optimization and Control · Mathematics 2026-05-12 Yunier Bello-Cruz

In this work, we conduct the first systematic study of stochastic variational inequality (SVI) and stochastic saddle point (SSP) problems under the constraint of differential privacy (DP). We propose two algorithms: Noisy Stochastic…

Optimization and Control · Mathematics 2022-04-04 Digvijay Boob , Cristóbal Guzmán
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