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Predicting with missing inputs challenges even parametric models, as parameter estimation alone is insufficient for prediction on incomplete data. While several works study prediction in linear models, we focus on logistic models, where…

Machine Learning · Statistics 2026-02-03 Christophe Muller , Erwan Scornet , Julie Josse

Machine learning classifiers are probabilistic in nature, and thus inevitably involve uncertainty. Predicting the probability of a specific input to be correct is called uncertainty (or confidence) estimation and is crucial for risk…

Machine Learning · Computer Science 2023-01-11 Gabriella Chouraqui , Liron Cohen , Gil Einziger , Liel Leman

Several studies point out different causes of performance degradation in supervised machine learning. Problems such as class imbalance, overlapping, small-disjuncts, noisy labels, and sparseness limit accuracy in classification algorithms.…

Machine Learning · Computer Science 2020-04-17 Gustavo A. Valencia-Zapata , Carolina Gonzalez-Canas , Michael G. Zentner , Okan Ersoy , Gerhard Klimeck

A confidence measure is able to estimate the reliability of an hypothesis provided by a machine translation system. The problem of confidence measure can be seen as a process of testing : we want to decide whether the most probable sequence…

Computation and Language · Computer Science 2009-02-09 Sylvain Raybaud , Caroline Lavecchia , David Langlois , Kamel Smaïli

We introduce a real-time, constrained, nonlinear Model Predictive Control for the motion planning of legged robots. The proposed approach uses a constrained optimal control algorithm known as SLQ. We improve the efficiency of this algorithm…

Robotics · Computer Science 2018-01-31 Farbod Farshidian , Edo Jelavić , Asutosh Satapathy , Markus Giftthaler , Jonas Buchli

Prompt optimization algorithms for Large Language Models (LLMs) excel in multi-step reasoning but still lack effective uncertainty estimation. This paper introduces a benchmark dataset to evaluate uncertainty metrics, focusing on Answer,…

Machine Learning · Computer Science 2024-12-30 Pei-Fu Guo , Yun-Da Tsai , Shou-De Lin

In the context of dynamical systems, nonlinearity measures quantify the strength of nonlinearity by means of the distance of their input-output behaviour to a set of linear input-output mappings. In this paper, we establish a framework to…

Systems and Control · Electrical Eng. & Systems 2022-11-28 Tim Martin , Frank Allgöwer

Matching pursuit algorithms are an important class of algorithms in signal processing and machine learning. We present a blended matching pursuit algorithm, combining coordinate descent-like steps with stronger gradient descent steps, for…

Optimization and Control · Mathematics 2019-11-21 Cyrille W. Combettes , Sebastian Pokutta

We propose a novel iterative algorithm for estimating a deterministic but unknown parameter vector in the presence of model uncertainties. This iterative algorithm is based on a system model where an overall noise term describes both, the…

Statistics Theory · Mathematics 2017-11-27 Oliver Lang , Michael Lunglmayr , Mario Huemer

This paper addresses the problem of improving response times of robots implemented in the Robotic Operating System (ROS) using formal verification of computational-time feasibility. In order to verify the real time behaviour of a robot…

Robotics · Computer Science 2016-11-11 Mohammed Y. Hazim , Hongyang Qu , Sandor M. Veres

We introduce a sharpness functional for probabilistic models that quantifies sharpness as an intrinsic property of the probability distribution. The measure is derived based on a rank-based concentration principle that tracks upward…

Methodology · Statistics 2026-04-03 Pekka Syrjänen

Computing reachability probabilities is at the heart of probabilistic model checking. All model checkers compute these probabilities in an iterative fashion using value iteration. This technique approximates a fixed point from below by…

Logic in Computer Science · Computer Science 2018-04-16 Tim Quatmann , Joost-Pieter Katoen

The subject of this paper is to study conformance checking for timed models, that is, process models that consider both the sequence of events in a process as well as the timestamps at which each event is recorded. Time-aware process mining…

Formal Languages and Automata Theory · Computer Science 2022-10-28 Neha Rino , Thomas Chatain

We investigate a detector scheme designed to measure the arrival of a particle at $x=0$ during a finite time interval. The detector consists of a two state system which undergoes a transition from one state to the other when the particle…

Quantum Physics · Physics 2009-10-31 J. J. Halliwell

Large Language Models (LLMs) are prone to hallucination, especially during multi-hop and reasoning-intensive tasks such as mathematical problem solving. While Outcome Reward Models verify only final answers, Process Reward Models (PRMs)…

Computation and Language · Computer Science 2025-05-27 Tej Deep Pala , Panshul Sharma , Amir Zadeh , Chuan Li , Soujanya Poria

Error bounds have been studied for more than seventy years, beginning with the seminal result of Hoffman (1952) [{\it J. Res. Natl. Bur. Standards}, 49 (1952), 263--265], which establishes an upper bound for the distance from an arbitrary…

Optimization and Control · Mathematics 2026-05-25 Zhou Wei , Michel Thera , Jen-Chih Yao

Closure modeling - the statistical modeling of missing dynamics in the natural sciences and engineering - is a growing and active area of research. Existing methods for closure modeling are often computationally prohibitive, lack…

Methodology · Statistics 2025-11-27 Eric Crislip , Mohammad Khalil , Teresa Portone , Oksana Chkrebtii , Kyle Neal

Autoregressive decoding in language models is inherently slow, generating only one token per forward pass. We propose Parallel Token Prediction (PTP), a general-purpose framework for predicting multiple tokens in a single model call. PTP…

Computation and Language · Computer Science 2026-03-06 Felix Draxler , Justus Will , Farrin Marouf Sofian , Theofanis Karaletsos , Sameer Singh , Stephan Mandt

Large NLP models have recently shown impressive performance in language understanding tasks, typically evaluated by their fine-tuned performance. Alternatively, probing has received increasing attention as being a lightweight method for…

Computation and Language · Computer Science 2022-10-17 Zining Zhu , Soroosh Shahtalebi , Frank Rudzicz

Incomplete data are common in practical applications. Most predictive machine learning models do not handle missing values so they require some preprocessing. Although many algorithms are used for data imputation, we do not understand the…

Machine Learning · Statistics 2020-07-07 Katarzyna Woźnica , Przemysław Biecek
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