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While guided decoding, especially value-guided methods, has emerged as a cost-effective alternative for controlling language model outputs without re-training models, its effectiveness is limited by the accuracy of the value function. We…

Computation and Language · Computer Science 2025-10-07 Zhenhua Liu , Lijun Li , Ruizhe Chen , Yuxian Jiang , Tong Zhu , Zhaochen Su , Wenliang Chen , Jing Shao

Iterative regularization exploits the implicit bias of an optimization algorithm to regularize ill-posed problems. Constructing algorithms with such built-in regularization mechanisms is a classic challenge in inverse problems but also in…

Optimization and Control · Mathematics 2022-02-02 Cesare Molinari , Mathurin Massias , Lorenzo Rosasco , Silvia Villa

We present IBR, an Iterative Backward Reasoning model to solve the proof generation tasks on rule-based Question Answering (QA), where models are required to reason over a series of textual rules and facts to find out the related proof path…

Computation and Language · Computer Science 2022-05-25 Hanhao Qu , Yu Cao , Jun Gao , Liang Ding , Ruifeng Xu

Projection-based iterative methods for solving large over-determined linear systems are well-known for their simplicity and computational efficiency. It is also known that the correct choice of a sketching procedure (i.e., preprocessing…

Numerical Analysis · Mathematics 2019-12-03 Elizaveta Rebrova , Deanna Needell

Identifying spurious correlations learned by a trained model is at the core of refining a trained model and building a trustworthy model. We present a simple method to identify spurious correlations that have been learned by a model trained…

Computer Vision and Pattern Recognition · Computer Science 2022-12-07 Misgina Tsighe Hagos , Kathleen M. Curran , Brian Mac Namee

In this paper, we consider the problem of iterative machine teaching, where a teacher provides examples sequentially based on the current iterative learner. In contrast to previous methods that have to scan over the entire pool and select…

Machine Learning · Computer Science 2023-01-27 Weiyang Liu , Zhen Liu , Hanchen Wang , Liam Paull , Bernhard Schölkopf , Adrian Weller

The dynamics of coupled intermittent maps is used to model the correlated structure of genomic sequences. The use of intermittent maps, as opposed to other simple chaotic maps, is particularly suited for the production of long range…

Statistical Mechanics · Physics 2015-06-05 Astero Provata , Christian Beck

Most existing text generation models follow the sequence-to-sequence paradigm. Generative Grammar suggests that humans generate natural language texts by learning language grammar. We propose a syntax-guided generation schema, which…

Computation and Language · Computer Science 2023-06-27 Yafu Li , Leyang Cui , Jianhao Yan , Yongjing Yin , Wei Bi , Shuming Shi , Yue Zhang

Real-world text classification tasks often require many labeled training examples that are expensive to obtain. Recent advancements in machine teaching, specifically the data programming paradigm, facilitate the creation of training data…

Machine Learning · Computer Science 2020-02-05 Neil Mallinar , Abhishek Shah , Tin Kam Ho , Rajendra Ugrani , Ayush Gupta

Ensemble weather forecasts based on multiple runs of numerical weather prediction models typically show systematic errors and require post-processing to obtain reliable forecasts. Accurately modeling multivariate dependencies is crucial in…

Atmospheric and Oceanic Physics · Physics 2024-02-02 Jieyu Chen , Tim Janke , Florian Steinke , Sebastian Lerch

Iterative algorithms aimed at solving some problems are discussed. For certain problems, such as finding a common point in the intersection of a finite number of convex sets, there often exist iterative algorithms that impose very little…

Optimization and Control · Mathematics 2010-09-28 Y. Censor , R. Davidi , G. T. Herman

The performance of computer vision models in certain real-world applications (e.g., rare wildlife observation) is limited by the small number of available images. Expanding datasets using pre-trained generative models is an effective way to…

Computer Vision and Pattern Recognition · Computer Science 2024-12-25 Changjian Chen , Fei Lv , Yalong Guan , Pengcheng Wang , Shengjie Yu , Yifan Zhang , Zhuo Tang

In this paper, we introduce an iterative numerical method to solve systems of nonlinear equations. The third-order convergence of this method is analyzed. Several examples are given to illustrate the efficiency of the proposed method.

Dynamical Systems · Mathematics 2009-04-23 M. Eshaghi Gordji , A. Ebadian , M. B. Ghaemi , J. Shokri

Many natural language processing applications use language models to generate text. These models are typically trained to predict the next word in a sequence, given the previous words and some context such as an image. However, at test time…

Machine Learning · Computer Science 2016-05-10 Marc'Aurelio Ranzato , Sumit Chopra , Michael Auli , Wojciech Zaremba

We propose an active learning architecture for robots, capable of organizing its learning process to achieve a field of complex tasks by learning sequences of motor policies, called Intrinsically Motivated Procedure Babbling (IM-PB). The…

Human-Computer Interaction · Computer Science 2019-02-18 Nicolas Duminy , Sao Mai Nguyen , Dominique Duhaut

The problem of finding aperiodic low auto-correlation binary sequences (LABS) presents a significant computational challenge, particularly as the sequence length increases. Such sequences have important applications in communication…

Data Structures and Algorithms · Computer Science 2025-05-27 Blaž Pšeničnik , Rene Mlinarič , Janez Brest , Borko Bošković

Random networks are widely used to model complex networks and research their properties. In order to get a good approximation of complex networks encountered in various disciplines of science, the ability to tune various statistical…

Disordered Systems and Neural Networks · Physics 2009-11-13 Andreas Pusch , Sebastian Weber , Markus Porto

The aim of this paper is to prove that, in an appropriate setting, every iterative sequence generated by the hybrid steepest descent method is convergent whenever so is every iterative sequence generated by the Halpern type iterative…

Functional Analysis · Mathematics 2020-12-29 Koji Aoyama , Yasunori Kimura

Generative methods for graphs need to be sufficiently flexible to model complex dependencies between sets of nodes. At the same time, the generated graphs need to satisfy domain-dependent feasibility conditions, that is, they should not…

Machine Learning · Computer Science 2025-01-22 Stefan Mautner , Rolf Backofen , Fabrizio Costa

In this paper, we establish an iterative data-driven approach to derive guaranteed bounds on nonlinearity measures of unknown nonlinear systems. In this context, nonlinearity measures quantify the strength of the nonlinearity of a dynamical…

Systems and Control · Electrical Eng. & Systems 2020-08-13 Tim Martin , Frank Allgöwer