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Current large language model post-training optimizes a risk-neutral objective that maximizes expected reward, yet evaluation relies heavily on risk-seeking metrics like Pass@k (at least one success in k trials) and Max@k (maximum reward…

机器学习 · 计算机科学 2025-08-05 Kaichen Zhang , Shenghao Gao , Yuzhong Hong , Haipeng Sun , Junwei Bao , Hongfei Jiang , Yang Song , Hong Dingqian , Hui Xiong

Clinical prediction models must be developed using sufficiently large datasets to minimise overfitting and ensure robust predictive performance. Existing sample size calculations assume complete predictor data for all included participants,…

统计方法学 · 统计学 2026-05-11 Glen P. Martin , Sian Bladon , Rebecca Whittle , Molly Wells , Gary S. Collins , Richard D. Riley

In the last twenty-five years (1990-2014), algorithmic advances in integer optimization combined with hardware improvements have resulted in an astonishing 200 billion factor speedup in solving Mixed Integer Optimization (MIO) problems. We…

统计方法学 · 统计学 2015-07-14 Dimitris Bertsimas , Angela King , Rahul Mazumder

Almost every software system provides configuration options to tailor the system to the target platform and application scenario. Often, this configurability renders the analysis of every individual system configuration infeasible. To…

软件工程 · 计算机科学 2016-02-17 Flávio Medeiros , Christian Kästner , Márcio Ribeiro , Rohit Gheyi , Sven Apel

Approximate message passing (AMP) refers to a class of efficient algorithms for statistical estimation in high-dimensional problems such as compressed sensing and low-rank matrix estimation. This paper analyzes the performance of AMP in the…

信息论 · 计算机科学 2018-10-23 Cynthia Rush , Ramji Venkataramanan

Approximate Dynamic Programming (ADP) is a methodology to solve multi-stage stochastic optimization problems in multi-dimensional discrete or continuous spaces. ADP approximates the optimal value function by adaptively sampling both action…

最优化与控制 · 数学 2021-07-02 Vijay Kumar , Mort Webster

Running machine learning algorithms on large and rapidly growing volumes of data is often computationally expensive, one common trick to reduce the size of a data set, and thus reduce the computational cost of machine learning algorithms,…

机器学习 · 计算机科学 2022-01-25 Shaojie Tang , Jing Yuan

The determination of sample size in qualitative research has traditionally relied on the subjective and often ambiguous principle of data saturation, which can lead to inconsistencies and threaten methodological rigor. This study introduces…

机器学习 · 计算机科学 2025-12-10 Hasan Tutar , Caner Erden , Ümit Şentürk

Uncertainty quantification (UQ) is essential for safe deployment of generative AI models such as large language models (LLMs), especially in high stakes applications. Conformal prediction (CP) offers a principled uncertainty quantification…

机器学习 · 计算机科学 2025-06-09 Sima Noorani , Shayan Kiyani , George Pappas , Hamed Hassani

We study the hardness of Approximate Query Processing (AQP) of various types of queries involving joins over multiple tables of possibly different sizes. In the case where the query result is a single value (e.g., COUNT, SUM, and…

数据库 · 计算机科学 2020-10-02 Tianyu Liu , Chi Wang

Adaptive importance samplers are adaptive Monte Carlo algorithms to estimate expectations with respect to some target distribution which \textit{adapt} themselves to obtain better estimators over a sequence of iterations. Although it is…

统计计算 · 统计学 2020-05-08 Ömer Deniz Akyildiz , Joaquín Míguez

Approximate message passing (AMP) type algorithms have been widely used in the signal reconstruction of certain large random linear systems. A key feature of the AMP-type algorithms is that their dynamics can be correctly described by state…

信息论 · 计算机科学 2023-07-03 Lei Liu , Shunqi Huang , YuZhi Yang , Zhaoyang Zhang , Brian M. Kurkoski

The rising usage of AI and ML-based processing across application domains has exacerbated the need for low-cost ML implementation, specifically for resource-constrained embedded systems. To this end, approximate computing, an approach that…

硬件体系结构 · 计算机科学 2024-04-22 Siva Satyendra Sahoo , Salim Ullah , Soumyo Bhattacharjee , Akash Kumar

Selection of perefect parameters for low-pass filters can sometimes be an expensive problem with no analytical solution or differentiability of cost function. In this paper, we introduce a new PSO-inspired algorithm, that incorporates the…

最优化与控制 · 数学 2024-02-20 Dmytro Shchyrba , Izabela Paniczek

We study active sampling algorithms for linear regression, which aim to query only a few entries of a target vector $b\in\mathbb R^n$ and output a near minimizer to $\min_{x\in\mathbb R^d} \|Ax-b\|$, for a design matrix $A\in\mathbb R^{n…

机器学习 · 计算机科学 2022-09-28 Cameron Musco , Christopher Musco , David P. Woodruff , Taisuke Yasuda

We propose and demonstrate a novel, effective approach to slice sampling. Using the probability integral transform, we first generalize Neal's shrinkage algorithm, standardizing the procedure to an automatic and universal starting point:…

统计计算 · 统计学 2025-06-16 Matthew J. Heiner , Samuel B. Johnson , Joshua R. Christensen , David B. Dahl

This paper presents methods which are aimed at finding approximations to missing data in a dataset by using optimization algorithms to optimize the network parameters after which prediction and classification tasks can be performed. The…

神经与进化计算 · 计算机科学 2014-03-24 Collins Leke , Bhekisipho Twala , T. Marwala

Extraordinary amounts of data are being produced in many branches of science. Proven statistical methods are no longer applicable with extraordinary large data sets due to computational limitations. A critical step in big data analysis is…

统计方法学 · 统计学 2019-06-27 HaiYing Wang , Min Yang , John Stufken

Approximate Logic Synthesis (ALS) is the process of synthesizing and mapping a given Boolean network to a library of logic cells so that the magnitude/rate of error between outputs of the approximate and initial (exact) Boolean netlists is…

硬件体系结构 · 计算机科学 2019-02-04 Ghasem Pasandi , Shahin Nazarian , Massoud Pedram

Data is generated at an unprecedented rate surpassing our ability to analyze them. The database community has pioneered many novel techniques for Approximate Query Processing (AQP) that could give approximate results in a fraction of time…

数据库 · 计算机科学 2019-11-20 Saravanan Thirumuruganathan , Shohedul Hasan , Nick Koudas , Gautam Das