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Despite the remarkable advances in language modeling, current mainstream decoding methods still struggle to generate texts that align with human texts across different aspects. In particular, sampling-based methods produce less-repetitive…

Computation and Language · Computer Science 2024-06-06 Haozhe Ji , Pei Ke , Hongning Wang , Minlie Huang

Chance constrained program where one seeks to minimize an objective over decisions which satisfy randomly disturbed constraints with a given probability is computationally intractable. This paper proposes an approximate approach to address…

Computation · Statistics 2019-12-23 Xun Shen , Jiancang Zhuang , Xingguo Zhang

Diffusion Probabilistic Models (DPM) have shown remarkable efficacy in the synthesis of high-quality images. However, their inference process characteristically requires numerous, potentially hundreds, of iterative steps, which could…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 Mingxiao Li , Tingyu Qu , Ruicong Yao , Wei Sun , Marie-Francine Moens

Much of science is (rightly or wrongly) driven by hypothesis testing. Even in situations where the hypothesis testing paradigm is correct, the common practice of basing inferences solely on p-values has been under intense criticism for over…

Methodology · Statistics 2015-12-31 M. J. Bayarri , Daniel J. Benjamin , James O. Berger , Thomas M. Sellke

We study chance constrained optimization problems $\min_x f(x)$ s.t. $P(\left\{ \theta: g(x,\theta)\le 0 \right\})\ge 1-\epsilon$ where $\epsilon\in (0,1)$ is the violation probability, when the distribution $P$ is not known to the decision…

Machine Learning · Computer Science 2024-02-13 A Ch Madhusudanarao , Rahul Singh

Large facial variations are the main challenge in face recognition. To this end, previous variation-specific methods make full use of task-related prior to design special network losses, which are typically not general among different tasks…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Yuge Huang , Pengcheng Shen , Ying Tai , Shaoxin Li , Xiaoming Liu , Jilin Li , Feiyue Huang , Rongrong Ji

We consider the exact sampling of the first passage of a stable subordinator across a non-increasing regular barrier. First, the sampling is reduced to one from a bivariate distribution parameterized by the index $\alpha$ of the…

Computation · Statistics 2025-06-04 Zhiyi Chi

For many probability distributions of interest, it is quite difficult to obtain samples efficiently. Often, Markov chains are employed to obtain approximately random samples from these distributions. The primary drawback to traditional…

Probability · Mathematics 2007-05-23 James Allen Fill , Mark L. Huber

Sampling strategies have been widely applied in many recommendation systems to accelerate model learning from implicit feedback data. A typical strategy is to draw negative instances with uniform distribution, which however will severely…

Information Retrieval · Computer Science 2020-11-17 Jiawei Chen , Chengquan Jiang , Can Wang , Sheng Zhou , Yan Feng , Chun Chen , Martin Ester , Xiangnan He

The goal of classification with rejection is to avoid risky misclassification in error-critical applications such as medical diagnosis and product inspection. In this paper, based on the relationship between classification with rejection…

Machine Learning · Statistics 2021-09-30 Nontawat Charoenphakdee , Zhenghang Cui , Yivan Zhang , Masashi Sugiyama

Approximate Bayesian inference on the basis of summary statistics is well-suited to complex problems for which the likelihood is either mathematically or computationally intractable. However the methods that use rejection suffer from the…

Computation · Statistics 2010-05-04 M. G. B. Blum , O. Francois

We propose a novel method for sampling and optimization tasks based on a stochastic interacting particle system. We explain how this method can be used for the following two goals: (i) generating approximate samples from a given target…

Dynamical Systems · Mathematics 2021-11-05 J. A. Carrillo , F. Hoffmann , A. M. Stuart , U. Vaes

We here introduce a novel classification approach adopted from the nonlinear model identification framework, which jointly addresses the feature selection and classifier design tasks. The classifier is constructed as a polynomial expansion…

Machine Learning · Computer Science 2016-07-29 Aida Brankovic , Alessandro Falsone , Maria Prandini , Luigi Piroddi

Starting with a set of weighted items, we want to create a generic sample of a certain size that we can later use to estimate the total weight of arbitrary subsets. For this purpose, we propose priority sampling which tested on Internet…

Data Structures and Algorithms · Computer Science 2007-05-23 Nick Duffield , Carsten Lund , Mikkel Thorup

Negative sampling is significant for training sequential recommendation models under implicit feedback. The predominant strategy, self-guided hard negative sampling, selects negatives based on the model's current state but suffers from…

Information Retrieval · Computer Science 2026-05-20 Yuanzi Li , Lingjie Wang , Jingyu Zhao , Zihang Tian , Yuhan Wang , Lei Wang , Xu Chen

We consider a decision maker who must choose an action in order to maximize a reward function that depends also on an unknown parameter {\Theta}. The decision maker can delay taking the action in order to experiment and gather additional…

Machine Learning · Statistics 2021-06-22 Victor F. Araman , Rene Caldentey

We consider the problem of multiple hypothesis testing with generic side information: for each hypothesis $H_i$ we observe both a p-value $p_i$ and some predictor $x_i$ encoding contextual information about the hypothesis. For large-scale…

Methodology · Statistics 2018-07-26 Lihua Lei , William Fithian

Large language models show great potential in generating and optimizing code. Widely used sampling methods such as Nucleus Sampling increase the diversity of generation but often produce repeated samples for low temperatures and incoherent…

Machine Learning · Computer Science 2024-03-01 Dejan Grubisic , Chris Cummins , Volker Seeker , Hugh Leather

Random sampling is a technique for signal acquisition which is gaining popularity in practical signal processing systems. Nowadays, event-driven analog-to-digital converters make random sampling feasible in practical applications. A process…

Data Structures and Algorithms · Computer Science 2015-10-08 Jacek Pierzchlewski , Thomas Arildsen

An algorithm is proposed, analyzed, and tested for solving continuous nonlinear-equality-constrained optimization problems where the objective and constraint functions are defined by expectations or averages over large, finite numbers of…

Optimization and Control · Mathematics 2026-05-14 Frank E. Curtis , Lingjun Guo , Daniel P. Robinson