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This work studies the strong duality of non-convex matrix factorization problems: we show that under certain dual conditions, these problems and its dual have the same optimum. This has been well understood for convex optimization, but…

数据结构与算法 · 计算机科学 2018-04-26 Maria-Florina Balcan , Yingyu Liang , David P. Woodruff , Hongyang Zhang

In this paper, a non-intrusive reduced-order model (ROM) for parametric reactor kinetics simulations is presented. Time-dependent ROMs are notoriously data intensive and difficult to implement when nonlinear multiphysics phenomena are…

数值分析 · 数学 2023-03-17 Zachary K. Hardy , Jim. E. Morel

Stochastic convex optimization problems with nonlinear functional constraints are ubiquitous in signal processing applications including constrained least-squares, set-membership adaptive filtering, and trajectory optimization under…

最优化与控制 · 数学 2025-12-16 Panchajanya Sanyal , Srujan Teja Thomdapu , Ketan Rajawat

In this paper, we introduce a new reduced basis methodology for accelerating the computation of large parameterized systems of high-fidelity integral equations. Core to our methodology is the use of coarse-proxy models (i.e., lower…

数值分析 · 数学 2019-11-14 Philip A. Etter , Yuwei Fan , Lexing Ying

Transferring large volumes of high-resolution images during wind turbine inspections introduces a bottleneck in assessing and detecting severe defects. Efficient coding must preserve high fidelity in blade regions while aggressively…

计算机视觉与模式识别 · 计算机科学 2026-04-01 Raül Pérez-Gonzalo , Andreas Espersen , Søren Forchhammer , Antonio Agudo

In a first-of-its-kind study, this paper proposes the formulation of constructing prediction intervals (PIs) in a time series as a bi-objective optimization problem and solves it with the help of Nondominated Sorting Genetic Algorithm…

神经与进化计算 · 计算机科学 2021-02-24 Vangala Sarveswararao , Vadlamani Ravi , Sheik Tanveer Ul Huq

The detection of Personally Identifiable Information (PII) is critical for privacy compliance but remains challenging in low-resource languages due to linguistic diversity and limited annotated data. We present RECAP, a hybrid framework…

To ensure that text generated by large language models (LLMs) is in an expected format, constrained decoding proposes to enforce strict formal language constraints during generation. However, as we show in this work, not only do such…

机器学习 · 计算机科学 2024-03-13 Luca Beurer-Kellner , Marc Fischer , Martin Vechev

In response to the increasing use of interactive artificial intelligence, the demand for the capacity to handle complex questions has increased. Multi-hop question generation aims to generate complex questions that requires multi-step…

计算与语言 · 计算机科学 2024-04-02 Seonjeong Hwang , Yunsu Kim , Gary Geunbae Lee

Product formula methods, particularly the second-order Suzuki decomposition, are an important tool for simulating quantum dynamics on quantum computers due to their simplicity and unitarity preservation. While higher-order schemes have been…

量子物理 · 物理学 2025-05-08 Matthew A Lane , Dan E Browne

Composed Image Retrieval (CoIR) has recently gained popularity as a task that considers both text and image queries together, to search for relevant images in a database. Most CoIR approaches require manually annotated datasets, comprising…

计算机视觉与模式识别 · 计算机科学 2025-04-02 Lucas Ventura , Antoine Yang , Cordelia Schmid , Gül Varol

Tree ensembles are widely used in industrial machine learning due to their strong predictive performance and efficient training procedures. However, as the number of trees in an ensemble grows, the resulting models become increasingly…

机器学习 · 计算机科学 2026-04-29 Josue Obregon

We develop an inexact primal-dual first-order smoothing framework to solve a class of non-bilinear saddle point problems with primal strong convexity. Compared with existing methods, our framework yields a significant improvement over the…

最优化与控制 · 数学 2023-07-25 Le Thi Khanh Hien , Renbo Zhao , William B. Haskell

We introduce SIRI, Scaling Iterative Reinforcement Learning with Interleaved Compression, a simple yet effective RL approach for Large Reasoning Models (LRMs) that enables more efficient and accurate reasoning. Existing studies have…

机器学习 · 计算机科学 2025-09-30 Haoming Wen , Yushi Bai , Juanzi Li , Jie Tang

This paper presents a new column-and-constraint generation method for two-stage robust mixed-integer programs with finite uncertainty sets. Our method combines and extends speed-up techniques used in previous column-and-constraint…

最优化与控制 · 数学 2025-11-04 Marc Goerigk , Dorothee Henke , Johannes Kager , Fabian Schäfer , Clemens Thielen

Proximal operators with affine constraints arise in numerous models in nonconvex projection, composite optimization, and structured regularization. However, their efficient computation remains challenging due to the simultaneous presence of…

最优化与控制 · 数学 2026-03-02 Di Hou , Tianyun Tang , Kim-Chuan Toh , Shiwei Wang

Parameterized circuit instantiation is a common technique encountered in the generation of circuits for a large class of hybrid quantum-classical algorithms. Despite being supported by popular quantum compilation infrastructures such as IBM…

量子物理 · 物理学 2022-06-17 Ed Younis , Costin Iancu

Spin coating polymer thin films to achieve specific mechanical properties is inherently a multi-objective optimization problem. We present a framework that integrates an active Pareto front learning algorithm (PyePAL) with visualization and…

This paper describes and establishes the iteration-complexity of a doubly accelerated inexact proximal point (D-AIPP) method for solving the nonconvex composite minimization problem whose objective function is of the form $f+h$ where $f$ is…

最优化与控制 · 数学 2018-12-20 Jiaming Liang , Renato D. C. Monteiro

A number of commercially available quantum computers, such as those based on trapped-ion or superconducting qubits, can now perform mid-circuit measurements and resets. In addition to being crucial for quantum error correction, this…

量子物理 · 物理学 2022-10-18 Matthew DeCross , Eli Chertkov , Megan Kohagen , Michael Foss-Feig