Algorithms
Algorithm design, data structures, and combinatorial optimization
20 papers indexed
Diffusion-Robust Optimization over Graphs
The paper introduces a diffusion-based uncertainty model for robust optimization on graphs, showing that the resulting computational complexity depends critically on the interaction between the uncert…
How to Draw a Planar Graph: An Experimental Evaluation
This paper experimentally evaluates various planar graph drawing algorithms and compares their performance in terms of visual properties.
The Sample Complexity of Multiclass and Sparse Contextual Bandits
Liad Erez, Fan Chen, Alon Cohen, Tomer Koren +3 more
The paper analyzes the sample complexity of contextual bandits in the $s$-sparse setting, achieving optimal sample bounds for identifying an $\epsilon$-optimal policy.
Let Relations Speak: An End-to-End LLM-GNN Soft Prompt Framework for Fraud Detection
The paper proposes the LLM-GNN Soft Prompt Framework (LGSPF) to enhance fraud detection by directly integrating graph structure and semantic information into LLMs, achieving state-of-the-art performan…
Directed Graph Topology Inference via Graph Filter Identification
This paper addresses the problem of inferring a directed network from nodal measurements using graph convolutional filters and identifies the diffusion filter and network topology.
$O(n +f(k))$: Truly Linear FPT
The paper introduces and explores Truly Linear FPT (TLFPT), a complexity class defined by $O(n) + f(k)$, demonstrating that it is a strict subset of standard Linear FPT and providing new algorithms fo…
$\tilde{O}$ptimal Algorithm for 2-Approximate All Pair Shortest Paths -- almost
This paper presents a randomized algorithm that runs in $ ilde{O}(n^2)$ time and, with high probability, guarantees a 2-approximation for all pairs at distance at least $c$ in an undirected, unweighte…
Algorithms and complexity for geodetic sets on interval and chordal graphs
This paper shows that finding the minimum geodetic set in chordal graphs is fixed parameter tractable, implying a polynomial-time algorithm for k-trees. It also proves that the problem is NP-hard on i…
Semi-Streaming Matching in a Single Pass II: Greedy is Optimal
This paper proves that no single-pass semi-streaming algorithm can achieve a better-than-half approximation to the maximum matching problem, implying the optimality of the naive greedy algorithm.
Linear Ordering Problem: Time for a Change
The paper addresses limitations in the Linear Ordering Problem (LOP) by introducing a novel benchmark suite derived from current economic data and an algorithmic scheme to generate diverse, high-quali…
Energy-efficient codon optimization on thermodynamic hardware
This paper presents the first application of thermodynamic computing to mRNA codon optimization in pharmaceutical R&D, achieving significant energy savings compared to conventional GPUs.
DQAOA-GPT: AI-Accelerated Distributed Quantum Optimization for Combinatorial Problems
Seongmin Kim, Abhinav Rijal, Yuri Alexeev, Nora Bauer +4 more
This paper introduces DQAOA-GPT, a hybrid framework that integrates DQAOA and GPT-based quantum circuit generation for solving combinatorial optimization problems, reducing computational cost and main…
Anomaly as Non-Conformity via Training-Free Graph Laplacian Energy Minimization
Jungwook Seo, Minjeong Kim, Younkwan Lee, Seungho Shin +1 more
The paper proposes ANoCo, a training-free method that detects visual anomalies by quantifying how much a query patch deviates from the structure of a fixed normal feature manifold using graph Laplacia…
Unifying Temporal and Structural Credit Assignment in LLM-Based Multi-Agent Prompt Optimization
Wenwu Li, Yuran Song, Mingze Zhao, Bo Jin +1 more
The paper proposes a novel temporal and structural credit assignment framework to efficiently optimize multi-agent LLM systems by decomposing the error signal and using targeted, discrete gradient upd…
Network Learning with Semi-relaxed Gromov-Wasserstein
The paper proposes a semi-relaxed Gromov-Wasserstein objective to estimate the latent connectivity structure of large-scale networks, achieving statistically consistent and efficient recovery of the u…
Generating Graph-like Rules for Knowledge Graph Reasoning via Diffusion Models
Haoxiang Cheng, Yunfei Wang, Chao Chen, Kewei Cheng +4 more
The paper proposes GRiD, a novel framework that uses a two-phase training strategy (supervised pre-training and RL fine-tuning) to discover complex, graph-like rules for knowledge graph reasoning, ove…
Learning to Solve and Optimize by Evolving Code
The paper introduces CHECKMATE, a novel framework that uses code evolution to automatically generate and optimize algorithms for complex combinatorial problems, outperforming state-of-the-art solvers.
AlphaRoute: Large Language Models as Semantic Optimizers for Multi-Objective Routing
This paper presents AlphaRoute, a multi-objective adaptive search framework for VLSI global routing using Large Language Models as semantic policy optimizers.
Neural Certificate Pricing for Combinatorial Optimization Problems
This paper introduces Neural Certificate Pricing (NCP), an unsupervised learning framework that exploits the asymmetry between certifiable discrete structures and structural feasibility in combinatori…
Formulating Subgroup Discovery as a Quantum Optimization Problem for Network Security
This paper introduces a quantum optimization framework using QAOA to perform Subgroup Discovery for network intrusion detection, demonstrating that quantum methods can find complex feature interaction…