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approximating_subset_sum
Approximating Subset Sum Ratio faster than Subset Sum
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Approximating Subset Sum Ratio faster than Subset Sum", "paper_url": null, "nodes": [{"id": "node_02", "type": "motivation", "title": "Motivation and Comparison to Subset Sum", "summary": "Subset Sum Ratio is an optimization variant of Equal Subset Sum. Prior to this work, the best approximation scheme...
23
27
approximation_algorithms_weighted
Approximation Algorithms for the Weighted Nash Social Welfare via Convex and Non-Convex Programs
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Approximation Algorithms for the Weighted Nash Social Welfare via Convex and Non-Convex Programs", "paper_url": null, "nodes": [{"id": "node_02", "type": "motivation", "title": "Motivation for Weighted Nash Social Welfare", "summary": "While the unweighted Nash Social Welfare problem is well-studied an...
17
24
arborescences_colorful_forests
Arborescences, Colorful Forests, and Popularity
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Arborescences, Colorful Forests, and Popularity", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Polynomial-Time Algorithm for Popular Arborescences", "summary": "This paper resolves the open problem of computing a popular arborescence in a directed graph where vertices ha...
25
28
bandit_algorithms_prophet
Bandit Algorithms for Prophet Inequality and Pandora’s Box
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Bandit Algorithms for Prophet Inequality and Pandora’s Box", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Bandit Algorithms for Prophet Inequality and Pandora's Box", "summary": "The paper introduces multi-armed bandit algorithms for the Prophet Inequality and Pandora's ...
13
28
beyond_quadratic_time
Beyond the Quadratic Time Barrier for Network Unreliability
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Beyond the Quadratic Time Barrier for Network Unreliability", "paper_url": null, "nodes": [{"id": "node_02", "type": "motivation", "title": "The Quadratic Time Barrier", "summary": "Prior algorithms for network unreliability implicitly or explicitly enumerate near-minimum cuts. Since a simple cycle gra...
21
29
bin_packing_random-order
Bin Packing under Random-Order: Breaking the Barrier of 3/2
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Bin Packing under Random-Order: Breaking the Barrier of 3/2", "paper_url": null, "nodes": [{"id": "overview", "type": "overview", "title": "Breaking the 3/2 Barrier for Best-Fit Bin Packing under Random-Order", "summary": "This paper studies the Best-Fit algorithm for online bin packing under random-or...
21
28
breaking_barrier_approximate
Breaking the 3/4 Barrier for Approximate Maximin Share
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Breaking the 3/4 Barrier for Approximate Maximin Share", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Breaking the 3/4 Barrier for Approximate Maximin Share", "summary": "This paper studies the fair allocation of indivisible goods among agents with additive valuations us...
18
36
cactus_representations_polylogarithmic
Cactus Representations in Polylogarithmic Max-flow via Maximal Isolating Mincuts
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Cactus Representations in Polylogarithmic Max-flow via Maximal Isolating Mincuts", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Almost-Linear Time Algorithms for Steiner Cactus and Hypercactus", "summary": "The paper presents the first almost-linear time algorithms for c...
22
30
code_sparsification_applications
Code Sparsification and its Applications
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Code Sparsification and its Applications", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Code Sparsification and its Applications", "summary": "This paper introduces the concept of code sparsification, generalizing graph cut sparsification to linear codes. The main result...
21
24
combinatorial_approach_factorization
Combinatorial Approach for Factorization of Variance and Entropy in Spin Systems
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Combinatorial Approach for Factorization of Variance and Entropy in Spin Systems", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Combinatorial Framework for Approximate Tensorization", "summary": "The paper introduces a combinatorial framework to prove approximate tensori...
26
30
combinatorial_contracts_beyond
Combinatorial Contracts Beyond Gross Substitutes
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Combinatorial Contracts Beyond Gross Substitutes", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Combinatorial Contracts Beyond Gross Substitutes", "summary": "This paper investigates the combinatorial contracting problem where a principal incentivizes an agen...
27
35
composition_nested_embeddings
Composition of nested embeddings with an application to outlier removal
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Composition of nested embeddings with an application to outlier removal", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Composition of nested embeddings and outlier removal", "summary": "This paper studies the problem of embedding a metric space into Euclidean space while...
21
27
computations_polynomial_evaluation
Computations with polynomial evaluation oracle: ruling out superlinear SETH-based lower bounds
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Computations with polynomial evaluation oracle: ruling out superlinear SETH-based lower bounds", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of the Paper", "summary": "The paper introduces a new complexity hypothesis, POSETH, which strengthens SETH by allowing ...
19
41
controlling_tail_risk
Controlling Tail Risk in Online Ski-Rental
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Controlling Tail Risk in Online Ski-Rental", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Controlling Tail Risk in Online Ski-Rental", "summary": "This paper investigates the classic online ski-rental problem with an added constraint: bounding the 'tail risk', which is t...
23
30
count_cfi_graphs
Count on CFI graphs for #P-hardness
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Count on CFI graphs for #P-hardness", "paper_url": null, "nodes": [{"id": "node_03", "type": "definition", "title": "Graph Motif Parameter", "summary": "A graph motif parameter is a finite linear combination of homomorphism counts from a set of pairwise non-isomorphic graphs.", "formal_statement": "A g...
26
34
delaunay_bifiltrations_functions
DELAUNAY BIFILTRATIONS OF FUNCTIONS ON POINT CLOUDS
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "DELAUNAY BIFILTRATIONS OF FUNCTIONS ON POINT CLOUDS", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Delaunay Bifiltrations", "summary": "The paper introduces the sublevel Delaunay-Čech bifiltration, a computable and topologically faithful multi-scale represent...
18
22
dependent_rounding_strong
Dependent rounding with strong negative-correlation, and scheduling on unrelated machines to minimize completion time
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Dependent rounding with strong negative-correlation, and scheduling on unrelated machines to minimize completion time", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Dependent Rounding and Scheduling Approximation", "summary": "The paper introduces a new depen...
17
24
detecting_hidden_communities
Detecting Hidden Communities by Power Iterations with Connections to Vanilla Spectral Algorithms
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Detecting Hidden Communities by Power Iterations with Connections to Vanilla Spectral Algorithms", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of the Paper", "summary": "This paper presents two algorithms for community detection in the Stochastic Block Model (S...
22
29
deterministic_sparse_pattern
Deterministic Sparse Pattern Matching via the Baur-Strassen Theorem
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Deterministic Sparse Pattern Matching via the Baur-Strassen Theorem", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Deterministic Near-Linear Time Constellation Algorithm", "summary": "This paper presents a deterministic near-linear time algorithm for the Constellation pr...
20
28
deterministically_approximating_total
On Deterministically Approximating Total Variation Distance
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "On Deterministically Approximating Total Variation Distance", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Deterministic FPTAS for TV Distance", "summary": "This paper presents a deterministic fully polynomial-time approximation scheme (FPTAS) for computing t...
24
37
dynamic_dictionary_subconstant
Dynamic Dictionary with Subconstant Wasted Bits per Key
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Dynamic Dictionary with Subconstant Wasted Bits per Key", "paper_url": null, "nodes": [{"id": "node_02", "type": "motivation", "title": "Space-Time Tradeoff for Dictionaries with Subconstant Redundancy", "summary": "Prior state-of-the-art hash tables achieve $O(\\log^{(k)} n)$ wasted bits per key but i...
24
25
dynamic_dynamic_time
Dynamic Dynamic Time Warping
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Dynamic Dynamic Time Warping", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Dynamic DTW", "summary": "This paper studies the dynamic version of the Dynamic Time Warping (DTW) distance problem. It presents a dynamic data structure with update and query time $O...
19
25
edge-disjoint_paths_expanders
Edge-disjoint paths in expanders: online with removals
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Edge-disjoint paths in expanders: online with removals", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Online Edge-Disjoint Paths with Removals in Expanders", "summary": "The paper presents a deterministic, polynomial-time algorithm for maintaining edge-disjoint paths in ...
16
23
effect_sparsity
Understanding the effect of sparsity on neural networks robustness
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Understanding the effect of sparsity on neural networks robustness", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Sparsity and Robustness", "summary": "This paper investigates whether sparsity itself degrades neural network robustness. By evaluating networks ...
11
19
efficient_quantum_state
Efficient Quantum State Synthesis with One Query
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Efficient Quantum State Synthesis with One Query", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Efficient Quantum State Synthesis with One Query", "summary": "This paper presents a polynomial-time quantum algorithm that makes a single query to a classical oracle to const...
19
23
euclidean_bottleneck_steiner
Euclidean Bottleneck Steiner Tree is Fixed-Parameter Tractable
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Euclidean Bottleneck Steiner Tree is Fixed-Parameter Tractable", "paper_url": null, "nodes": [{"id": "node_02", "type": "motivation", "title": "Open Question on FPT Status of EBST", "summary": "While the $\\ell_1$ and $\\ell_\\infty$ variants of the Bottleneck Steiner Tree problem were known to be FPT,...
16
20
exact_shortest_paths
Exact Shortest Paths with Rational Weights on the Word RAM
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Exact Shortest Paths with Rational Weights on the Word RAM", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Exact Shortest Paths with Rational Weights on the Word RAM", "summary": "This paper investigates the exact single-source shortest paths (SSSP) problem for graphs wit...
20
26
extremal_functions_acyclic
On the Extremal Functions of Acyclic Forbidden 0–1 Matrices
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "On the Extremal Functions of Acyclic Forbidden 0–1 Matrices", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Extremal Functions of Acyclic Forbidden 0-1 Matrices", "summary": "The paper investigates the extremal function of acyclic forbidden 0-1 matrices. It es...
17
29
factoring_pattern-free_permutations
Factoring Pattern-Free Permutations into Separable ones
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Factoring Pattern-Free Permutations into Separable ones", "paper_url": null, "nodes": [{"id": "node_03", "type": "theorem", "title": "Main Theorem: Factorisation of Pattern-Free Permutations", "summary": "The paper proves that any permutation avoiding a fixed pattern can be factored into a bounded numb...
22
22
fast_2-approximate_all-pairs
Fast 2-Approximate All-Pairs Shortest Paths
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Fast 2-Approximate All-Pairs Shortest Paths", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Fast 2-Approximate All-Pairs Shortest Paths", "summary": "The paper presents faster algorithms for 2-approximate All-Pairs Shortest Paths (APSP) in undirected graphs. For unweighte...
18
21
fast_accurate_approximations
Fast and Accurate Approximations of the Optimal Transport in Semi-Discrete and Discrete Settings
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Fast and Accurate Approximations of the Optimal Transport in Semi-Discrete and Discrete Settings", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Fast and Accurate Approximations of Optimal Transport", "summary": "The paper presents three approximation algorithms for geome...
22
28
fast_sampling
Fast Sampling of Protein Conformational Dynamics
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Fast Sampling of Protein Conformational Dynamics", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Fast Sampling of Protein Conformational Dynamics using FRESEAN", "summary": "The paper presents a method to efficiently sample protein conformational dynamics by using anharmo...
13
15
faster_algorithms_bounded
Faster Algorithms for Bounded Knapsack and Bounded Subset Sum Via Fine-Grained Proximity Results
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Faster Algorithms for Bounded Knapsack and Bounded Subset Sum Via Fine-Grained Proximity Results", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Faster Algorithms for Bounded Knapsack and Subset Sum", "summary": "The paper presents faster pseudopolynomial-time...
26
34
faster_exact_approximation
Faster exact and approximation algorithms for packing and covering matroids via push-relabel
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Faster exact and approximation algorithms for packing and covering matroids via push-relabel", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Faster algorithms for matroid packing and covering via push-relabel", "summary": "This paper develops faster exact and approximatio...
24
32
faster_rectangular_matrix
Faster Rectangular Matrix Multiplication by Combination Loss Analysis
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Faster Rectangular Matrix Multiplication by Combination Loss Analysis", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of the Paper", "summary": "This paper improves the upper bounds on the exponent of rectangular matrix multiplication, $\\omega(\\kappa)$. It achi...
21
33
faster_sublinear-time_edit
Faster Sublinear-Time Edit Distance
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Faster Sublinear-Time Edit Distance", "paper_url": null, "nodes": [{"id": "node_02", "type": "motivation", "title": "Motivation and Prior Work", "summary": "Computing exact edit distance takes $O(n^2)$ time, which is tight under SETH. The Landau-Vishkin algorithm takes $O(n+k^2)$ time. To achieve subli...
22
30
flip_graph_connectivity
Flip Graph Connectivity for Arrangements of Pseudolines and Pseudocircles
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Flip Graph Connectivity for Arrangements of Pseudolines and Pseudocircles", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Flip Graph Connectivity", "summary": "This paper studies the connectivity and diameter of triangle flip graphs for arrangements of pseudol...
26
29
fully_dynamic_approximation
Fully dynamic approximation schemes on planar and apex-minor-free graphs
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Fully dynamic approximation schemes on planar and apex-minor-free graphs", "paper_url": null, "nodes": [{"id": "node_02", "type": "motivation", "title": "Dynamic Baker's Technique", "summary": "Baker's technique is a fundamental tool for static approximation schemes on planar graphs. Extending it to fu...
24
33
fully_dynamic_min-cut
Fully Dynamic Min-Cut of Superconstant Size in Subpolynomial Time
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Fully Dynamic Min-Cut of Superconstant Size in Subpolynomial Time", "paper_url": null, "nodes": [{"id": "motivation", "type": "motivation", "title": "Motivation and Prior Work", "summary": "Previously, the best worst-case update time for fully dynamic exact $c$-edge connectivity for $c > 2$ was $\\tild...
27
28
fully_dynamic_shortest
Fully Dynamic Shortest Path Reporting Against an Adaptive Adversary
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Fully Dynamic Shortest Path Reporting Against an Adaptive Adversary", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview", "summary": "The paper presents the first fully dynamic algorithm for maintaining shortest paths against an adaptive adversary in subquadratic upd...
27
31
grid-minor_theorem_revisited
THE GRID-MINOR THEOREM REVISITED
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "THE GRID-MINOR THEOREM REVISITED", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Product Structure for Minor-Free Graphs", "summary": "The paper proves a qualitative strengthening of the Grid-Minor Theorem using graph product structure. It shows that any graph...
21
28
hardness_finding_balanced
On the hardness of finding balanced independent sets in random bipartite graphs
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "On the hardness of finding balanced independent sets in random bipartite graphs", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Statistical-Computational Gap for Balanced Independent Sets", "summary": "The paper studies the problem of finding large balanced independent se...
30
59
hierarchy_hereditary_sorting
The Hierarchy of Hereditary Sorting Operators
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "The Hierarchy of Hereditary Sorting Operators", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "The Hierarchy of Hereditary Sorting Operators", "summary": "This paper studies a general model of sorting where the allowed operations in a single step form a hereditary permutat...
20
24
higher-order_cheeger_inequality
Higher-Order Cheeger Inequality for Partitioning with Buffers
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Higher-Order Cheeger Inequality for Partitioning with Buffers", "paper_url": null, "nodes": [{"id": "node_02", "type": "motivation", "title": "Overcoming the Square-Root Loss", "summary": "Standard spectral partitioning algorithms suffer from a 'square-root loss' in their approximation guarantees, whic...
17
21
how_many_neurons
How Many Neurons Does it Take to Approximate the Maximum?
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "How Many Neurons Does it Take to Approximate the Maximum?", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of \"How Many Neurons Does it Take to Approximate the Maximum?\"", "summary": "This paper investigates the depth-width trade-offs required for a neural netwo...
20
39
identity_problem_nilpotent
The Identity Problem in nilpotent groups of bounded class
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "The Identity Problem in nilpotent groups of bounded class", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of the Paper", "summary": "The paper proves that the Identity Problem and the Group Problem are decidable in polynomial time for finitely generated subsemigr...
26
55
impossibilities_obviously_strategy-proof
Impossibilities for Obviously Strategy-Proof Mechanisms
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Impossibilities for Obviously Strategy-Proof Mechanisms", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of OSP Impossibilities in Auctions", "summary": "The paper investigates the approximation power of deterministic obviously strategy-proof (OSP) mechanisms for ...
17
26
improved_approximation_algorithms
Improved Approximation Algorithms for the Joint Replenishment Problem with Outliers, and with Fairness Constraints
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Improved Approximation Algorithms for the Joint Replenishment Problem with Outliers, and with Fairness Constraints", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Improved Approximation Algorithms for JRP with Outliers and Fairness", "summary": "This paper introduces the ...
24
33
improved_approximations_ultrametric
Improved Approximations for Ultrametric Violation Distance
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Improved Approximations for Ultrametric Violation Distance", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Improved Approximations for Ultrametric Violation Distance", "summary": "This paper studies the Ultrametric Violation Distance problem, which asks for th...
25
61
improved_bounds_point
Improved Bounds for Point Selections and Halving Hyperplanes in Higher Dimensions
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Improved Bounds for Point Selections and Halving Hyperplanes in Higher Dimensions", "paper_url": null, "nodes": [{"id": "node_02", "type": "motivation", "title": "Astronomical Exponents in Prior Work", "summary": "Previous bounds for the Second Selection Theorem had an astronomical exponent of $(4d+1)^...
24
39
induced-minor-free_graphs_separator
Induced-Minor-Free Graphs: Separator Theorem, Subexponential Algorithms, and Improved Hardness of Recognition
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Induced-Minor-Free Graphs: Separator Theorem, Subexponential Algorithms, and Improved Hardness of Recognition", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Induced-Minor-Free Graphs", "summary": "The paper establishes a separator theorem for graphs excluding...
22
27
linear-sized_sparsifiers_near-linear
Linear-Sized Sparsifiers via Near-Linear Time Discrepancy Theory
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Linear-Sized Sparsifiers via Near-Linear Time Discrepancy Theory", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Linear-Sized Sparsifiers via Near-Linear Time Discrepancy Theory", "summary": "The paper introduces a new framework for discrepancy minimization that relies on...
26
33
maintaining_matroid_intersections
Maintaining Matroid Intersections Online
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Maintaining Matroid Intersections Online", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Maintaining Matroid Intersections Online (Main Theorem)", "summary": "The paper studies the online matroid intersection maintenance problem with recourse, where elements of a partitio...
18
28
near-optimal_min-sum_motion
Near-Optimal Min-Sum Motion Planning for Two Square Robots in a Polygonal Environment
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Near-Optimal Min-Sum Motion Planning for Two Square Robots in a Polygonal Environment", "paper_url": null, "nodes": [{"id": "node_motivation", "type": "motivation", "title": "Motivation and Gap in Multi-Robot Motion Planning", "summary": "While finding a feasible motion plan for two simple robots in a ...
18
28
near-optimal_quantum_algorithms
Near-Optimal Quantum Algorithms for Bounded Edit Distance and Lempel–Ziv Factorization
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Near-Optimal Quantum Algorithms for Bounded Edit Distance and Lempel–Ziv Factorization", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Near-Optimal Quantum Algorithms for String Problems", "summary": "This paper presents near-optimal quantum algorithms for two...
25
36
new_sdp_roundings
New SDP Roundings and Certifiable Approximation for Cubic Optimization
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "New SDP Roundings and Certifiable Approximation for Cubic Optimization", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of New SDP Roundings for Cubic Optimization", "summary": "This paper introduces new rounding schemes for Sum-of-Squares (SoS) SDP relaxations to...
20
28
odd_cycle_transversal
Odd Cycle Transversal on $P_5$-free Graphs in Polynomial Time
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Odd Cycle Transversal on $P_5$-free Graphs in Polynomial Time", "paper_url": null, "nodes": [{"id": "node_02", "type": "motivation", "title": "Complexity of OCT on H-free graphs", "summary": "OCT is a classic vertex deletion problem that is NP-hard in general. For $H$-free graphs, it was known to be po...
17
24
optimal_algorithm_higher-order
An Optimal Algorithm for Higher-Order Voronoi Diagrams in the Plane: The Usefulness of Nondeterminism
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "An Optimal Algorithm for Higher-Order Voronoi Diagrams in the Plane: The Usefulness of Nondeterminism", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Optimal Order-k Voronoi Diagram Algorithm", "summary": "This paper presents the first optimal randomized algor...
20
23
optimal_bounds_private
Optimal Bounds on Private Graph Approximation
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Optimal Bounds on Private Graph Approximation", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Optimal Bounds on Private Graph Approximation", "summary": "This paper presents novel differentially private algorithms for approximating the spectrum and cut sizes of weighted g...
25
28
optimal_thresholds_latin
OPTIMAL THRESHOLDS FOR LATIN SQUARES, STEINER TRIPLE SYSTEMS, AND EDGE COLORINGS
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "OPTIMAL THRESHOLDS FOR LATIN SQUARES, STEINER TRIPLE SYSTEMS, AND EDGE COLORINGS", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Optimal Thresholds for Latin Squares, Steiner Triple Systems, and Edge Colorings", "summary": "The paper determines the optimal threshold $\\Th...
18
20
optimality_glauber_dynamics
Optimality of Glauber dynamics for general-purpose Ising model sampling and free energy approximation
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Optimality of Glauber dynamics for general-purpose Ising model sampling and free energy approximation", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Optimality of Glauber dynamics for Ising models", "summary": "The paper provides evidence that Glauber dynamics is optimal...
17
29
parameterized_algorithms_block-structured
Parameterized algorithms for block-structured integer programs with large entries
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Parameterized algorithms for block-structured integer programs with large entries", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Parameterized algorithms for block-structured integer programs with large entries", "summary": "This paper shows that two-stage stochastic and...
23
34
positivity_certificates_linear
POSITIVITY CERTIFICATES FOR LINEAR RECURRENCES
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "POSITIVITY CERTIFICATES FOR LINEAR RECURRENCES", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Positivity Certificates for Linear Recurrences", "summary": "This paper presents an algorithm to prove or disprove the positivity of solutions to linear recurrences ...
16
22
prior-independent_auctions_heterogeneous
Prior-Independent Auctions for Heterogeneous Bidders
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Prior-Independent Auctions for Heterogeneous Bidders", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Prior-Independent Auctions for Heterogeneous Bidders", "summary": "The paper studies prior-independent auction design for heterogeneous bidders. It introduces a novel \"ei...
22
30
quasi-monte_carlo_data
A Quasi-Monte Carlo Data Structure for Smooth Kernel Evaluations
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "A Quasi-Monte Carlo Data Structure for Smooth Kernel Evaluations", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Quasi-Monte Carlo Data Structure for Smooth Kernel Evaluations", "summary": "The paper introduces a novel data structure for kernel density estimation (KDE) wi...
21
23
randomized_communication_implicit
Randomized Communication and Implicit Representations for Matrices and Graphs of Small Sign-Rank
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Randomized Communication and Implicit Representations for Matrices and Graphs of Small Sign-Rank", "paper_url": null, "nodes": [{"id": "node_02", "type": "motivation", "title": "Implicit Representations and Communication Complexity", "summary": "Finding implicit representations for graphs of bounded si...
24
36
recovering_original_simplicity
Recovering the original simplicity: succinct and deterministic quantum algorithm for the welded tree problem
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Recovering the original simplicity: succinct and deterministic quantum algorithm for the welded tree problem", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Succinct and Deterministic Quantum Algorithm for the Welded Tree Problem", "summary": "This paper presents a simple...
14
32
representative_set_statements
Representative set statements for delta-matroids and the Mader delta-matroid
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Representative set statements for delta-matroids and the Mader delta-matroid", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Representative set statements for delta-matroids and Mader networks", "summary": "The paper generalizes the representative sets lemma from linear m...
22
27
revenue_maximization_buyers
Revenue Maximization for Buyers with Costly Participation
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Revenue Maximization for Buyers with Costly Participation", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Revenue Maximization with Costly Participation", "summary": "The paper studies revenue-maximizing mechanisms for selling a single item to buyers who incur private cos...
25
29
robust_1-bit_compressed
Robust 1-bit Compressed Sensing with Iterative Hard Thresholding
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Robust 1-bit Compressed Sensing with Iterative Hard Thresholding", "paper_url": null, "nodes": [{"id": "node_02", "type": "motivation", "title": "Suboptimal Sample Complexity in Prior Noisy 1bCS", "summary": "Existing algorithms for noisy 1-bit compressed sensing either require exact knowledge of the n...
19
24
robust_sparsification_matroid
Robust Sparsification for Matroid Intersection with Applications
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Robust Sparsification for Matroid Intersection with Applications", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of DCS for Matroid Intersection", "summary": "The paper introduces the Density Constrained Subset (DCS), a sparsifier for the matroid intersection pro...
22
34
santa_claus_meets
Santa Claus meets Makespan and Matroids: Algorithms and Reductions
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Santa Claus meets Makespan and Matroids: Algorithms and Reductions", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Makespan and Santa Claus Reductions", "summary": "This paper explores the relationship between makespan minimization on unrelated parallel machin...
23
29
set_covering_eyes
Set Covering with Our Eyes Wide Shut
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Set Covering with Our Eyes Wide Shut", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Universal Prophet Algorithms for Covering Problems", "summary": "This paper introduces a generic reduction framework that translates random-order online algorithms for a broad...
22
35
shortcut_partitions_minor-free
Shortcut Partitions in Minor-Free Graphs: Steiner Point Removal, Distance Oracles, Tree Covers, and More
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Shortcut Partitions in Minor-Free Graphs: Steiner Point Removal, Distance Oracles, Tree Covers, and More", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Shortcut Partitions in Minor-Free Graphs", "summary": "The paper constructs a deterministic shortcut partition for $K_r...
23
33
simple_delegated_choice
Simple Delegated Choice
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Simple Delegated Choice", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Simple Delegated Choice", "summary": "This paper studies a discrete choice delegation problem where an uninformed principal restricts the choices of an informed but biased agent. The autho...
18
24
simpler_higher_lower
Simpler and Higher Lower Bounds for Shortcut Sets
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Simpler and Higher Lower Bounds for Shortcut Sets", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Simpler and Higher Lower Bounds for Shortcut Sets", "summary": "This paper studies the shortcut set problem, which asks how much the diameter of a directed graph ...
19
28
single-source_unsplittable_flows
Single-Source Unsplittable Flows in Planar Graphs
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Single-Source Unsplittable Flows in Planar Graphs", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Single-Source Unsplittable Flows in Planar Graphs", "summary": "This paper studies the single-source unsplittable flow (SSUF) problem, where flow from a source to...
21
36
smoothed_complexity_swap
Smoothed Complexity of SWAP in Local Graph Partitioning
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Smoothed Complexity of SWAP in Local Graph Partitioning", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Smoothed Complexity of SWAP and 2-FLIP", "summary": "The paper establishes the first quasipolynomial upper bound for the smoothed complexity of the SWAP alg...
21
31
sorting_pattern-avoiding_permutations
Sorting Pattern-Avoiding Permutations via 0–1 Matrices Forbidding Product Patterns
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Sorting Pattern-Avoiding Permutations via 0–1 Matrices Forbidding Product Patterns", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Sorting Pattern-Avoiding Permutations", "summary": "This paper investigates the time complexity of sorting permutations that avoi...
19
23
sorting_selection_rounds
Sorting and Selection in Rounds with Adversarial Comparisons
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Sorting and Selection in Rounds with Adversarial Comparisons", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Sorting and Selection with Adversarial Comparisons", "summary": "This paper studies sorting and selection algorithms under an adaptive adversarial comp...
26
33
sparse_induced_subgraphs
Finding large sparse induced subgraphs in graphs of small (but not very small) tree-independence number
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Finding large sparse induced subgraphs in graphs of small (but not very small) tree-independence number", "paper_url": null, "nodes": [{"id": "node_02", "type": "motivation", "title": "Motivation and Prior Work", "summary": "Courcelle's theorem allows solving CMSO2 problems on graphs of bounded treewid...
24
38
sparse_regular_expression
Sparse Regular Expression Matching
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Sparse Regular Expression Matching", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Sparse Regular Expression Matching", "summary": "The paper introduces a density parameter to capture the amount of nondeterminism in simulating a nondeterministic finite automat...
21
24
strongly_polynomial_frame
Strongly Polynomial Frame Scaling to High Precision
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Strongly Polynomial Frame Scaling to High Precision", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Strongly Polynomial Frame Scaling to High Precision", "summary": "The paper presents a deterministic, strongly polynomial time algorithm for the frame scaling problem with ...
23
30
sub-exponential_lower_bounds
Sub-Exponential Lower Bounds for Branch-and-Bound with General Disjunctions via Interpolation
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Sub-Exponential Lower Bounds for Branch-and-Bound with General Disjunctions via Interpolation", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Sub-Exponential Lower Bounds for Branch-and-Bound", "summary": "This paper establishes the first sub-exponential lower...
22
43
sublinear_time_low-rank
Sublinear Time Low-Rank Approximation of Toeplitz Matrices
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Sublinear Time Low-Rank Approximation of Toeplitz Matrices", "paper_url": null, "nodes": [{"id": "overview", "type": "overview", "title": "Sublinear Time Low-Rank Approximation of Toeplitz Matrices", "summary": "The paper presents a sublinear time algorithm for computing a near-optimal low-rank approxi...
13
16
supermodular_contracts_dense
On Supermodular Contracts and Dense Subgraphs
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "On Supermodular Contracts and Dense Subgraphs", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Supermodular Contracts and Dense Subgraphs", "summary": "This paper investigates combinatorial contract design when the principal's utility is supermodular. It provides a strongl...
19
23
tight_approximability_max
Tight approximability of MAX 2-SAT and relatives, under UGC
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Tight approximability of MAX 2-SAT and relatives, under UGC", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Tight approximability of MAX 2-SAT and relatives", "summary": "The paper proves Austrin's Simplicity Conjecture, establishing that the Lewin-Livnat-Zwick (LLZ) algo...
20
23
tight_lower_bound
Tight Lower Bound on Equivalence Testing in Conditional Sampling Model
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Tight Lower Bound on Equivalence Testing in Conditional Sampling Model", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of the Paper", "summary": "This paper resolves the query complexity of equivalence testing for discrete distributions in the conditional samplin...
18
28
time_complexity_fully
The Time Complexity of Fully Sparse Matrix Multiplication
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "The Time Complexity of Fully Sparse Matrix Multiplication", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Time Complexity of Fully Sparse Matrix Multiplication", "summary": "This paper investigates the time complexity of multiplying sparse matrices, parameterized by both ...
23
35
tree_containment_minimum
Tree Containment Above Minimum Degree is FPT
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Tree Containment Above Minimum Degree is FPT", "paper_url": null, "nodes": [{"id": "node_02", "type": "motivation", "title": "Motivation and Prior Work", "summary": "Finding subgraphs based on degree conditions is a fundamental problem in extremal graph theory. While Chvátal's Lemma provides a tight co...
25
33
universality_spectral_independence
Universality of Spectral Independence with Applications to Fast Mixing in Spin Glasses
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Universality of Spectral Independence with Applications to Fast Mixing in Spin Glasses", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Universality of Spectral Independence and Fast Mixing", "summary": "The paper establishes that spectral independence is a universal prope...
16
21
unreasonable_effectiveness_single
On the Unreasonable Effectiveness of Single Vector Krylov Methods for Low-Rank Approximation
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "On the Unreasonable Effectiveness of Single Vector Krylov Methods for Low-Rank Approximation", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Single Vector Krylov Methods for Low-Rank Approximation", "summary": "This paper proves that single vector and small bl...
31
51
vc_set_systems
VC Set Systems in Minor-free (Di)Graphs and Applications
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "VC Set Systems in Minor-free (Di)Graphs and Applications", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of VC Set Systems in Minor-free Graphs", "summary": "This paper systematically studies VC set systems in both undirected and directed minor-free graphs. It in...
23
36
vertical_decomposition_3d
Vertical Decomposition in 3D and 4D with Applications to Line Nearest-Neighbor Searching in 3D
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Vertical Decomposition in 3D and 4D with Applications to Line Nearest-Neighbor Searching in 3D", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Vertical Decomposition in 3D and 4D and Applications", "summary": "This paper resolves several open problems regarding the comple...
22
28
viderman_algorithm_quantum
Viderman’s algorithm for quantum LDPC codes
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "Viderman’s algorithm for quantum LDPC codes", "paper_url": null, "nodes": [{"id": "node_02", "type": "motivation", "title": "Need for Quantum Erasure-Conversion Algorithms", "summary": "Existing quantum LDPC decoders (like SSFlip) are greedy bit-flip algorithms. Viderman's algorithm offers a fundamenta...
20
27
whole_new_ball
A Whole New Ball Game: A Primal Accelerated Method for Matrix Games and Minimizing the Maximum of Smooth Functions
null
2,024
SODA 2024
null
null
null
null
{"paper_title": "A Whole New Ball Game: A Primal Accelerated Method for Matrix Games and Minimizing the Maximum of Smooth Functions", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Paper Overview", "summary": "The paper presents a primal accelerated first-order method for minimizing the ma...
16
20
amm_combinatorial_securities
Designing Automated Market Makers for Combinatorial Securities: A Geometric Viewpoint
null
2,025
SODA 2025
null
null
null
null
{"paper_title": "Designing Automated Market Makers for Combinatorial Securities: A Geometric Viewpoint", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of AMMs via Computational Geometry", "summary": "This paper establishes a novel connection between the design of automated market...
28
45
beyond_2approx_kcenter
Beyond 2-approximation for $k$-Center in Graphs
null
2,025
SODA 2025
null
null
null
null
{"paper_title": "Beyond 2-approximation for $k$-Center in Graphs", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Overview of Beyond 2-approximation for k-Center", "summary": "This paper breaks the long-standing factor-2 approximation barrier for the k-Center problem in unweighted, undirec...
19
24
bilateral_trade_broker
Gains-from-Trade in Bilateral Trade with a Broker
null
2,025
SODA 2025
null
null
null
null
{"paper_title": "Gains-from-Trade in Bilateral Trade with a Broker", "paper_url": null, "nodes": [{"id": "node_01", "type": "overview", "title": "Gains-from-Trade in Bilateral Trade with a Broker", "summary": "This paper investigates bilateral trade where a buyer and seller interact exclusively through a profit-maximiz...
22
28
bubble_up_cuckoo
Efficient $d$-ary Cuckoo Hashing at High Load Factors by Bubbling Up
null
2,025
SODA 2025
null
null
null
null
{"paper_title": "Efficient $d$-ary Cuckoo Hashing at High Load Factors by Bubbling Up", "paper_url": null, "nodes": [{"id": "node_02", "type": "motivation", "title": "Gap in Online $d$-ary Cuckoo Hashing", "summary": "Prior work on online $d$-ary cuckoo hashing either required $d = \\Theta(\\log \\epsilon^{-1})$ for fa...
18
24