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This paper studies stochastic optimization for a sum of compositional functions, where the inner-level function of each summand is coupled with the corresponding summation index. We refer to this family of problems as finite-sum coupled…

Optimization and Control · Mathematics 2023-06-13 Bokun Wang , Tianbao Yang

Deep learning models in robotics often output point estimates with poorly calibrated confidences, offering no native mechanism to quantify predictive reliability under novel, noisy, or out-of-distribution inputs. Conformal prediction (CP)…

Robotics · Computer Science 2025-09-29 Divake Kumar , Sina Tayebati , Francesco Migliarba , Ranganath Krishnan , Amit Ranjan Trivedi

Finite-sum Coupled Compositional Optimization (FCCO), characterized by its coupled compositional objective structure, emerges as an important optimization paradigm for addressing a wide range of machine learning problems. In this paper, we…

Machine Learning · Computer Science 2025-10-30 Xingyu Chen , Bokun Wang , Ming Yang , Qihang Lin , Tianbao Yang

This paper aims at carrying out termination proofs for simply typed higher-order calculi automatically by using ordering comparisons. To this end, we introduce the computability path ordering (CPO), a recursive relation on terms obtained by…

Logic in Computer Science · Computer Science 2019-03-14 Frédéric Blanqui , Jean-Pierre Jouannaud , Albert Rubio

Conventional heterogeneous computing systems built on PCIe interconnects suffer from inefficient fine-grained host-device interactions and complex programming models. In recent years, many proprietary and open cache-coherent interconnect…

Hardware Architecture · Computer Science 2026-01-13 Yanjing Wang , Lizhou Wu , Sunfeng Gao , Yibo Tang , Junhui Luo , Zicong Wang , Yang Ou , Dezun Dong , Nong Xiao , Mingche Lai

Conformal prediction provides a pivotal and flexible technique for uncertainty quantification by constructing prediction sets with a predefined coverage rate. Many online conformal prediction methods have been developed to address data…

Machine Learning · Statistics 2026-02-25 Dongjian Hu , Junxi Wu , Shu-Tao Xia , Changliang Zou

Conformal prediction (CP) provides finite-sample, distribution-free marginal coverage, but standard conformal regression intervals can be inefficient under heteroscedasticity and skewness. In particular, popular constructions such as…

Machine Learning · Statistics 2026-03-03 Xiaoyi Su , Zhixin Zhou , Rui Luo

Conformal prediction (CP) for regression can be challenging, especially when the output distribution is heteroscedastic, multimodal, or skewed. Some of the issues can be addressed by estimating a distribution over the output, but in…

Machine Learning · Computer Science 2024-04-15 Etash Guha , Shlok Natarajan , Thomas Möllenhoff , Mohammad Emtiyaz Khan , Eugene Ndiaye

Contemporary proof assistants such as Coq require that recursive functions be terminating and corecursive functions be productive to maintain logical consistency of their type theories, and some ensure these properties using syntactic…

Programming Languages · Computer Science 2023-01-26 Jonathan Chan , Yufeng Li , William J. Bowman

We describe our experience implementing a broad category-theory library in Coq. Category theory and computational performance are not usually mentioned in the same breath, but we have needed substantial engineering effort to teach Coq to…

Category Theory · Mathematics 2022-05-04 Jason Gross , Adam Chlipala , David I. Spivak

This paper presents a dynamic logic $d\mathcal{L}_\text{CHP}$ for compositional deductive verification of communicating hybrid programs (CHPs). CHPs go beyond the traditional mixed discrete and continuous dynamics of hybrid systems by…

Logic in Computer Science · Computer Science 2023-03-06 Marvin Brieger , Stefan Mitsch , André Platzer

Control Co-Design (CCD) considers the coupled effects of both the plant and control parameters to optimize a system's closed-loop transient performance during the design stage. This paper presents a new method for CCD with guarantees on…

Systems and Control · Electrical Eng. & Systems 2023-10-19 Trevor J. Bird , Jacob A. Siefert , Herschel C. Pangborn , Neera Jain

Conformal prediction (CP) is widely presented as distribution-free predictive inference with finite-sample marginal coverage under exchangeability. We argue that CP is best understood as a rank-calibrated descendant of the…

Statistics Theory · Mathematics 2025-12-30 Jyotishka Datta , Nicholas G. Polson , Vadim Sokolov , Daniel Zantedeschi

Control co-design (CCD) is a technique for improving the closed-loop performance of systems through the coordinated design of both plant parameters and an optimal control policy. While model predictive control (MPC) is an attractive control…

Systems and Control · Electrical Eng. & Systems 2023-04-18 Austin L. Nash , Herschel C. Pangborn , Neera Jain

A recent study of bugs in real-world concurrent and distributed systems found that, while implementations of individual protocols tend to be robust, the composition of multiple protocols and its interplay with internal computation is the…

Programming Languages · Computer Science 2017-08-09 Luís Cruz-Filipe , Fabrizio Montesi

Collective operations are cornerstones of both HPC applications and large-scale AI training and inference, yet benchmarking them in a systematic and reproducible way remains difficult on modern systems due to the complexity of their…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-14 Saverio Pasqualoni , Tommaso Bonato , Lorenzo Piarulli , Torsten Hoefler , Marco Canini , Daniele De Sensi

Traditional Statistical Process Control (SPC) is essential for quality management but is limited by its reliance on often violated statistical assumptions, leading to unreliable monitoring in modern, complex manufacturing environments. This…

Machine Learning · Computer Science 2025-12-30 Christopher Burger

Cooperative computation is a promising approach for localized data processing at the edge, e.g. for Internet of Things (IoT). Cooperative computation advocates that computationally intensive tasks in a device could be divided into…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-24 Yasaman Keshtkarjahromi , Yuxuan Xing , Hulya Seferoglu

This thesis (extended abstract) presents the software development efforts toward efficient exploitation of heterogeneity through intricate mapping of computational kernels, collaborative execution of multiple processing elements and…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-26 Siqi Wang

Generating long sequences with structural coherence remains a fundamental challenge for autoregressive models across sequential generation tasks. In symbolic music generation, this challenge is particularly pronounced, as existing methods…

Sound · Computer Science 2026-04-08 Boyu Cao , Lekai Qian , Dehan Li , Haoyu Gu , Mingda Xu , Qi Liu