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In this paper, we focus our attention on the high-dimensional double sparse linear regression, that is, a combination of element-wise and group-wise sparsity. To address this problem, we propose an IHT-style (iterative hard thresholding)…

Statistics Theory · Mathematics 2024-12-10 Yanhang Zhang , Zhifan Li , Shixiang Liu , Jianxin Yin

Instruction subsets (ISs) are heuristics that can shrink the size of the inductive programming (IP) search space by tens of orders of magnitude. Here, we extend the IS approach by introducing instruction and solution probabilities as…

Software Engineering · Computer Science 2025-06-18 Edward McDaid , Sarah McDaid

Machine learning algorithms often contain many hyperparameters (HPs) whose values affect the predictive performance of the induced models in intricate ways. Due to the high number of possibilities for these HP configurations and their…

Integer programming (IP) is a general optimization framework widely applicable to a variety of unstructured and structured problems arising in, e.g., scheduling, production planning, and graph optimization. As IP models many provably hard…

Machine Learning · Computer Science 2020-07-22 Yunhao Tang , Shipra Agrawal , Yuri Faenza

Robust ranking and selection (R&S) is an important and challenging variation of conventional R&S that seeks to select the best alternative among a finite set of alternatives. It captures the common input uncertainty in the simulation model…

Methodology · Statistics 2025-09-23 Yuchen Wan , Zaile Li , L. Jeff Hong

In the last decade, a plethora of algorithms for single-objective Boolean optimization has been proposed that rely on the iterative usage of a highly effective Propositional Satisfiability (SAT) solver. But the use of SAT solvers in…

Artificial Intelligence · Computer Science 2022-04-26 João Cortes , Inês Lynce , Vasco Manquinho

Iterative Hard Thresholding (IHT) is a class of projected gradient descent methods for optimizing sparsity-constrained minimization models, with the best known efficiency and scalability in practice. As far as we know, the existing…

Machine Learning · Computer Science 2017-06-22 Bo Liu , Xiao-Tong Yuan , Lezi Wang , Qingshan Liu , Dimitris N. Metaxas

We consider the problem of explaining the predictions of an arbitrary blackbox model $f$: given query access to $f$ and an instance $x$, output a small set of $x$'s features that in conjunction essentially determines $f(x)$. We design an…

Machine Learning · Computer Science 2021-11-03 Guy Blanc , Jane Lange , Li-Yang Tan

Adversarial example generation becomes a viable method for evaluating the robustness of a machine learning model. In this paper, we consider hard-label black-box attacks (a.k.a. decision-based attacks), which is a challenging setting that…

Machine Learning · Computer Science 2019-10-15 Zhenxin Xiao , Puyudi Yang , Yuchen Jiang , Kai-Wei Chang , Cho-Jui Hsieh

When designing optimal controllers for any system, it is often the case that the true state of the system is unknown to the controller, for example due to noisy measurements or partially observable states. Incomplete state information must…

Optimization and Control · Mathematics 2014-01-23 Kendra Lesser , Meeko Oishi

Recent years have seen a growing interest in understanding acceleration methods through the lens of ordinary differential equations (ODEs). Despite the theoretical advancements, translating the rapid convergence observed in continuous-time…

Optimization and Control · Mathematics 2024-06-05 Zhonglin Xie , Wotao Yin , Zaiwen Wen

This manuscript studies a general approach to construct confidence sets for the solution of stochastic optimization, rendering empirical risk minimization as special cases. Statistical inference for stochastic optimization poses significant…

Statistics Theory · Mathematics 2026-05-22 Kenta Takatsu , Arun Kumar Kuchibhotla

We present Integer Linear Programming (ILP) Modulo Theories (IMT). An IMT instance is an Integer Linear Programming instance, where some symbols have interpretations in background theories. In previous work, the IMT approach has been…

Logic in Computer Science · Computer Science 2013-04-09 Panagiotis Manolios , Vasilis Papavasileiou

Bayesian Optimization aims at optimizing an unknown non-convex/concave function that is costly to evaluate. We are interested in application scenarios where concurrent function evaluations are possible. Under such a setting, BO could choose…

Artificial Intelligence · Computer Science 2012-05-02 Javad Azimi , Ali Jalali , Xiaoli Fern

Combinatorial optimization problems are ubiquitous in industrial applications. However, finding optimal or close-to-optimal solutions can often be extremely hard. Because some of these problems can be mapped to the ground-state search of…

Quantum Physics · Physics 2025-09-04 Junpeng Hou , Amin Barzegar , Helmut G. Katzgraber

Pointer arithmetic is widely used in low-level programs, e.g. memory allocators. The specification of such programs usually requires using pointer arithmetic inside inductive definitions to define the common data structures, e.g. heap lists…

Logic in Computer Science · Computer Science 2024-03-05 Wanyun Su , Zhilin Wu , Mihaela Sighireanu

Decision-making problems can be represented as mathematical optimization models, finding wide applications in fields such as economics, engineering and manufacturing, transportation, and health care. Optimization models are mathematical…

Human-Computer Interaction · Computer Science 2023-08-25 Hao Chen , Gonzalo E. Constante-Flores , Can Li

Post-hoc explanation methods provide interpretation by attributing predictions to input features. Natural explanations are expected to interpret how the inputs lead to the predictions. Thus, a fundamental question arises: Do these…

Machine Learning · Computer Science 2025-04-15 Zhen Tan , Song Wang , Yifan Li , Yu Kong , Jundong Li , Tianlong Chen , Huan Liu

An innovative numerical algorithm for solving infinite-horizon optimal control problems is introduced in this paper, using the IsoCost-HyperSurface (ICHS) concept. In the state space of an optimal control system, an ICHS is defined as a set…

Systems and Control · Electrical Eng. & Systems 2022-09-15 Saeed Rahimi , Amir Salimi Lafmejani , Ahmad Kalhor

Hierarchical classification offers an approach to incorporate the concept of mistake severity by leveraging a structured, labeled hierarchy. However, decoding in such settings frequently relies on heuristic decision rules, which may not…

Machine Learning · Computer Science 2025-06-03 Roman Plaud , Alexandre Perez-Lebel , Matthieu Labeau , Antoine Saillenfest , Thomas Bonald