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Energies with high-order non-submodular interactions have been shown to be very useful in vision due to their high modeling power. Optimization of such energies, however, is generally NP-hard. A naive approach that works for small problem…

Computer Vision and Pattern Recognition · Computer Science 2013-10-09 Carl Olsson , Johannes Ulen , Yuri Boykov , Vladimir Kolmogorov

Sparsity-constrained optimization underlies many problems in signal processing, statistics, and machine learning. State-of-the-art hard-thresholding (HT) algorithms rely on an appropriately selected continuous step-size parameter to ensure…

Machine Learning · Statistics 2026-05-13 Jin Zhu , Junxian Zhu , Zezhi Wang , Borui Tang , Hongmei Lin , Xueqin Wang

While scaling laws guide compute allocation for LLM pre-training, analogous prescriptions for reinforcement learning (RL) post-training of large language models (LLMs) remain poorly understood. We study the compute-optimal allocation of…

Manual optimization of Register Transfer Level (RTL) datapath is commonplace in industry but holds back development as it can be very time consuming. We utilize the fact that a complex transformation of one RTL into another equivalent RTL…

Hardware Architecture · Computer Science 2022-07-27 Samuel Coward , George A. Constantinides , Theo Drane

A decomposition algorithm for solving large-scale security-constrained AC optimal power flow problems is presented. The formulation considered is the one used in the ARPA-E Grid Optimization (GO) Competition, Challenge 1, held from November…

Optimization and Control · Mathematics 2021-10-06 Frank E. Curtis , Daniel K. Molzahn , Shenyinying Tu , Andreas Wächter , Ermin Wei , Elizabeth Wong

The Restricted Shortest Path (RSP) problem, also known as the Delay-Constrained Least-Cost (DCLC) problem, is an NP-hard bicriteria optimization problem on graphs with $n$ vertices and $m$ edges. In a graph where each edge is assigned a…

Data Structures and Algorithms · Computer Science 2019-11-05 David Holzmüller

We define a graph-based rate optimization problem and consider its computation, which provides a unified approach to the computation of various theoretical limits, including the (conditional) graph entropy, rate-distortion functions and…

Information Theory · Computer Science 2025-03-18 Deheng Yuan , Tao Guo , Zhongyi Huang , Shi Jin

We study a resource-constrained variant of the Random Disambiguation Path (RDP) problem, a generalization of the Stochastic Obstacle Scene (SOS) problem, in which a navigating agent must reach a target in a spatial environment populated…

Robotics · Computer Science 2025-07-10 Li Zhou , Elvan Ceyhan

The multi-pumping resource sharing technique can overcome the limitations commonly found in single-clocked FPGA designs by allowing hardware components to operate at a higher clock frequency than the surrounding system. However, this…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-11 Carl-Johannes Johnsen , Tiziano De Matteis , Tal Ben-Nun , Johannes de Fine Licht , Torsten Hoefler

Probabilistic programming languages (PPLs) allow users to encode arbitrary inference problems, and PPL implementations provide general-purpose automatic inference for these problems. However, constructing inference implementations that are…

Programming Languages · Computer Science 2023-05-04 Daniel Lundén , Joey Öhman , Jan Kudlicka , Viktor Senderov , Fredrik Ronquist , David Broman

Densest Subgraph Problem (DSP) is an important primitive problem with a wide range of applications, including fraud detection, community detection and DNA motif discovery. Edge-based density is one of the most common metrics in DSP.…

Databases · Computer Science 2023-10-31 Yugao Zhu , Shenghua Liu , Wenjie Feng , Xueqi Cheng

Effective resource utilization and decreased makespan in heterogeneous High Performance Computing (HPC) environments are key benefits of workload mapping and scheduling. Tools such as Snakemake, a workflow management solution, employ…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-03 Aasish Kumar Sharma , Julian Kunkel

Code optimization and high level synthesis can be posed as constraint satisfaction and optimization problems, such as graph coloring used in register allocation. Graph coloring is also used to model more traditional CSPs relevant to AI,…

Artificial Intelligence · Computer Science 2011-09-13 F. A. Aloul , I. L. Markov , A. Ramani , K. A. Sakallah

Graph Neural Networks (GNN) exhibit superior performance in graph representation learning, but their inference cost can be high, due to an aggregation operation that can require a memory fetch for a very large number of nodes. This…

Machine Learning · Computer Science 2025-03-18 Yaochen Hu , Mai Zeng , Ge Zhang , Pavel Rumiantsev , Liheng Ma , Yingxue Zhang , Mark Coates

This paper introduces a combinatorial optimization approach to register allocation and instruction scheduling, two central compiler problems. Combinatorial optimization has the potential to solve these problems optimally and to exploit…

Programming Languages · Computer Science 2019-06-21 Roberto Castañeda Lozano , Mats Carlsson , Gabriel Hjort Blindell , Christian Schulte

Sensor placement plays a crucial role in graph signal recovery in underdetermined systems. In this paper, we present the graph-filtered regularized maximum likelihood (GFR-ML) estimator of graph signals, which integrates general graph…

Signal Processing · Electrical Eng. & Systems 2025-08-19 Lital Dabush , Tirza Routtenberg

In this paper, we consider the optimization problem \scpl (\scp), which is to find a minimum cost subset of a ground set $U$ such that the value of a submodular function $f$ is above a threshold $\tau$. In contrast to most existing work on…

Data Structures and Algorithms · Computer Science 2022-11-10 Victoria G. Crawford

Register allocation is a much studied problem. A particularly important context for optimizing register allocation is within loops, since a significant fraction of the execution time of programs is often inside loop code. A variety of…

Programming Languages · Computer Science 2014-06-04 Lukasz Domagala , Fabrice Rastello , Sadayappan Ponnuswany , Duco Van Amstel

Sparse, irregular graphs show up in various applications like linear algebra, machine learning, engineering simulations, robotic control, etc. These graphs have a high degree of parallelism, but their execution on parallel threads of modern…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-17 Nimish Shah , Wannes Meert , Marian Verhelst

Crew Pairing Optimization aims at generating a set of flight sequences (crew pairings), covering all flights in an airline's flight schedule, at minimum cost, while satisfying several legality constraints. CPO is critically important for…

Mathematical Software · Computer Science 2020-11-20 Divyam Aggarwal , Dhish Kumar Saxena , Thomas Bäck , Michael Emmerich