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In this paper, we consider tree decompositions, branch decompositions, and clique decompositions. We improve the running time of dynamic programming algorithms on these graph decompositions for a large number of problems as a function of…

Data Structures and Algorithms · Computer Science 2018-06-06 Johan M. M. van Rooij , Hans L. Bodlaender , Erik Jan van Leeuwen , Peter Rossmanith , Martin Vatshelle

Automatic differentiation, also known as backpropagation, AD, autodiff, or algorithmic differentiation, is a popular technique for computing derivatives of computer programs accurately and efficiently. Sometimes, however, the derivatives…

Numerical Analysis · Mathematics 2023-05-15 Jan Hückelheim , Harshitha Menon , William Moses , Bruce Christianson , Paul Hovland , Laurent Hascoët

We present an efficient task and motion replanning approach for sequential multi-object manipulation in dynamic environments. Conventional Task And Motion Planning (TAMP) solvers experience an exponential increase in planning time as the…

Robotics · Computer Science 2026-05-20 Yan Zhang , Teng Xue , Amirreza Razmjoo , Sylvain Calinon

The Cylindrical Algebraic Decomposition (CAD) algorithm is a comprehensive tool to perform quantifier elimination over real closed fields. CAD has doubly exponential running time, making it infeasible for practical purposes. We propose to…

Discrete Mathematics · Computer Science 2013-01-22 Hari Krishna Malladi , Ambedkar Dukkipati

Memory mechanism is a core component of LLM-based agents, enabling reasoning and knowledge discovery over long-horizon contexts. Existing agent memory systems are typically designed within isolated paradigms (e.g., explicit, parametric, or…

Artificial Intelligence · Computer Science 2026-02-10 Xin Zhang , Kailai Yang , Chenyue Li , Hao Li , Qiyu Wei , Jun'ichi Tsujii , Sophia Ananiadou

We present an algorithm to solve very large one-dimensional disordered and interacting few-particle systems. Our approach exploits the localized nature of the eigenfunctions in real space to achieve a linear scaling with the total system…

Disordered Systems and Neural Networks · Physics 2022-11-24 Lluís Hernández-Mulà , Andreas M. Läuchli

Despite many recent advances, reactive synthesis is still not really a practical technique. The grand challenge is to scale from small transition systems, where synthesis performs well, to complex multi-component designs. Compositional…

Logic in Computer Science · Computer Science 2020-10-09 Bernd Finkbeiner , Noemi Passing

Automating the development of machine learning algorithms has the potential to unlock new breakthroughs. However, our ability to improve and evaluate algorithm discovery systems has thus far been limited by existing task suites. They suffer…

In continual learning, the primary challenge is to learn new information without forgetting old knowledge. A common solution addresses this trade-off through regularization, penalizing changes to parameters critical for previous tasks. In…

Machine Learning · Computer Science 2026-04-22 Pourya Shamsolmoali , Masoumeh Zareapoor , Eric Granger , William A. P. Smith , Yue Lu

Providing examples is one of the most common way for end-users to interact with program synthesizers. However, program synthesis systems assume that examples consistent with the program are chosen at random, and do not exploit the fact that…

Artificial Intelligence · Computer Science 2022-04-07 Saujas Vaduguru , Kevin Ellis , Yewen Pu

We present a tractable method for synthesizing arbitrarily large concurrent programs, for a shared memory model with common hardware-available primitives such as atomic registers, compare-and-swap, load-linked/store conditional, etc. The…

Logic in Computer Science · Computer Science 2008-01-14 Paul C. Attie

This work addresses inverse linear optimization where the goal is to infer the unknown cost vector of a linear program. Specifically, we consider the data-driven setting in which the available data are noisy observations of optimal…

Optimization and Control · Mathematics 2021-12-07 Rishabh Gupta , Qi Zhang

Foundation models, such as Large language Models (LLMs), have attracted significant amount of interest due to their large number of applications. However, when handling tasks involving repetitive sub-tasks and/or deceptive contents, such as…

Artificial Intelligence · Computer Science 2024-07-04 Yizhou Zhang , Lun Du , Defu Cao , Qiang Fu , Yan Liu

Advancing complex reasoning in large language models relies on high-quality, verifiable datasets, yet human annotation remains cost-prohibitive and difficult to scale. Current synthesis paradigms often face a recurring trade-off:…

Artificial Intelligence · Computer Science 2026-02-04 Zhengbo Jiao , Shaobo Wang , Zifan Zhang , Xuan Ren , Wei Wang , Bing Zhao , Hu Wei , Linfeng Zhang

The unification algorithm has long been a target for program synthesis research, but a fully automatic derivation remains a research goal. In deductive program synthesis, computer programming is phrased as a task in theorem proving; a…

Logic in Computer Science · Computer Science 2025-09-16 Richard Waldinger

Program synthesis from input-output examples, also called programming by example (PBE), has had tremendous impact on automating end-user tasks. Large language models (LLMs) have the ability to solve PBE tasks by generating code in different…

Programming Languages · Computer Science 2025-03-21 Ruhma Khan , Sumit Gulwani , Vu Le , Arjun Radhakrishna , Ashish Tiwari , Gust Verbruggen

We propose a new algorithm for efficiently solving the damped Fisher matrix in large-scale scenarios where the number of parameters significantly exceeds the number of available samples. This problem is fundamental for natural gradient…

Machine Learning · Computer Science 2023-10-27 Yixiao Chen , Hao Xie , Han Wang

Learn-to-Defer is a paradigm that enables learning algorithms to work not in isolation but as a team with human experts. In this paradigm, we permit the system to defer a subset of its tasks to the expert. Although there are currently…

Machine Learning · Computer Science 2024-07-18 Mohammad-Amin Charusaie , Samira Samadi

In many lock-free algorithms, threads help one another, and each operation creates a descriptor that describes how other threads should help it. Allocating and reclaiming descriptors introduces significant space and time overhead. We…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-08 Maya Arbel-Raviv , Trevor Brown

A classification algorithm, called the Linear Centralization Classifier (LCC), is introduced. The algorithm seeks to find a transformation that best maps instances from the feature space to a space where they concentrate towards the center…

Machine Learning · Computer Science 2017-12-25 Mohammad Reza Bonyadi , Viktor Vegh , David C. Reutens
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