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Vijay Ganesh

19 accepted papers

2026

FrontierCS: Evolving Challenges for Evolving Intelligence

ICML 2026poster

We introduce FrontierCS, a benchmark of 240 open-ended problems across diverse areas of computer science, designed and reviewed by experts, including CS PhDs and top-tier competitive programming participants and problem setters. Unlike existing benchmarks that focus on tasks with known optimal solut…

Cited by 0SourceScholar
2026

Learning Data-Efficient and Generalizable Neural Operators via Fundamental Physics Knowledge

ICLR 2026poster

Recent advances in scientific machine learning (SciML) have enabled neural operators (NOs) to serve as powerful surrogates for modeling the dynamic evolution of physical systems governed by partial differential equations (PDEs). While existing approaches focus primarily on learning simulations from…

Cited by 0SourceScholar
2026

ProofBridge: Auto-Formalization of Natural Language Proofs in Lean via Joint Embeddings

ICLR 2026poster

Translating human-written mathematical theorems and proofs from natural language (NL) into formal languages (FLs) like Lean 4 has long been a significant challenge for AI. Most state-of-the-art methods either focus on theorem-only NL-to-FL auto-formalization or on FL proof synthesis from FL theorems…

Cited by 0SourcecodeScholar
2025

Algorithm Selection for Word-Level Hardware Model Checking (Student Abstract)

AAAI 2025technical

We build the first machine-learning-based algorithm selection tool for hardware verification described in the Btor2 format. In addition to hardware verifiers, our tool also selects from a set of software verifiers to solve a given Btor2 instance, enabled by a Btor2-to-C translator. We propose two em…

Cited by 0SourcePDFScholar
2025

Can Transformers Reason Logically? A Study in SAT Solving

ICML 2025poster

We formally study the logical reasoning capabilities of decoder-only Transformers in the context of the boolean satisfiability (SAT) problem. First, we prove by construction that decoder-only Transformers can decide 3-SAT, in a non-uniform model of computation, using backtracking and deduction via…

Cited by 1SourcePDFScholar
2025

LLM Stinger: Jailbreaking LLMs Using RL Fine-Tuned LLMs (Student Abstract)

AAAI 2025technical

We introduce LLM Stinger, a novel approach that leverages Large Language Models (LLMs) to automatically generate adversarial suffixes for jailbreak attacks. Unlike traditional methods, which require complex prompt engineering or white-box access, LLM Stinger uses a reinforcement learning (RL) loop t…

Cited by 0SourcePDFScholar
2025

Verified Certificates via SAT and Computer Algebra Systems for the Ramsey R(3,8) and R(3,9) Problems

IJCAI 2025

The Ramsey problem R(3,k) seeks to determine the smallest value of n such that any red/blue edge coloring of the complete graph on n vertices must either contain a blue triangle (3-clique) or a red clique of size k. Despite its significance, many previous computational results for the Ramsey R(3,k)

2024

A SAT + Computer Algebra System Verification of the Ramsey Problem R(3, 8) (Student Abstract)

AAAI 2024technical

The Ramsey problem R(3,8) asks for the smallest n such that every red/blue coloring of the complete graph on n vertices must contain either a blue triangle or a red 8-clique. We provide the first certifiable proof that R(3,8) = 28, automatically generated by a combination of Boolean satisfiability (…

Cited by 2SourcePDFScholar
2024

A SAT Solver + Computer Algebra Attack on the Minimum Kochen–Specker Problem

IJCAI 2024poster

One of the fundamental results in quantum foundations is the Kochen–Specker (KS) theorem, which states that any theory whose predictions agree with quantum mechanics must be contextual, i.e., a quantum observation cannot be understood as revealing a pre-existing value. The theorem hinges on the exis…

2024

A SAT Solver and Computer Algebra Attack on the Minimum Kochen-Specker Problem (Student Abstract)

AAAI 2024technical

The problem of finding the minimum three-dimensional Kochen–Specker (KS) vector system, an important problem in quantum foundations, has remained open for over 55 years. We present a new method to address this problem based on a combination of a Boolean satisfiability (SAT) solver and a computer alg…

2024

BertRLFuzzer: A BERT and Reinforcement Learning Based Fuzzer (Student Abstract)

AAAI 2024technical

We present a novel tool BertRLFuzzer, a BERT and Reinforcement Learning (RL) based fuzzer aimed at finding security vulnerabilities for Web applications. BertRLFuzzer works as follows: given a set of seed inputs, the fuzzer performs grammar-adhering and attack-provoking mutation operations on them t…

Cited by 6SourcePDFScholar
2024

Layered and Staged Monte Carlo Tree Search for SMT Strategy Synthesis

IJCAI 2024poster

Modern SMT solvers, such as Z3, offer user-controllable strategies that allow solver users the ability to tailor solving strategies for their unique set of instances, thus dramatically enhancing the solver performance for their specific use cases. However, this approach of strategy customization pre…

2023

Grounding Neural Inference with Satisfiability Modulo Theories

NeurIPS 2023spotlight

Recent techniques that integrate solver layers into Deep Neural Networks (DNNs) have shown promise in bridging a long-standing gap between inductive learning and symbolic reasoning techniques. In this paper we present a set of techniques for integrating Satisfiability Modulo Theories (SMT) solvers i…

Cited by 3SourcePDFScholar
2023

Robust Training for AC-OPF (Student Abstract)

AAAI 2023technical

Electricity network operators use computationally demanding mathematical models to optimize AC power flow (AC-OPF). Recent work applies neural networks (NN) rather than optimization methods to estimate locally optimal solutions. However, NN training data is costly and current models cannot guarantee…

Cited by 1SourcePDFScholar
2022

A Solver + Gradient Descent Training Algorithm for Deep Neural Networks

IJCAI 2022poster

We present a novel hybrid algorithm for training Deep Neural Networks that combines the state-of-the-art Gradient Descent (GD) method with a Mixed Integer Linear Programming (MILP) solver, outperforming GD and variants in terms of accuracy, as well as resource and data efficiency for both regression…

Cited by 0SourcePDFScholar
2021

A SAT-based Resolution of Lam’s Problem

AAAI 2021technical

In 1989, computer searches by Lam, Thiel, and Swiercz experimentally resolved Lam's problem from projective geometry—the long-standing problem of determining if a projective plane of order ten exists. Both the original search and an independent verification in 2011 discovered no such projective pla…

2020

Online Bayesian Moment Matching based SAT Solver Heuristics

ICML 2020poster

In this paper, we present a Bayesian Moment Matching (BMM) based method aimed at solving the initialization problem in Boolean SAT solvers. The initialization problem can be stated as follows: given a SAT formula $\phi$, compute an initial order over the variables of $\phi$ and values/polarity for t…

2020

Unsatisfiability Proofs for Weight 16 Codewords in Lam's Problem

IJCAI 2020poster

In the 1970s and 1980s, searches performed by L. Carter, C. Lam, L. Thiel, and S. Swiercz showed that projective planes of order ten with weight 16 codewords do not exist. These searches required highly specialized and optimized computer programs and required about 2,000 hours of computing time on m…

Cited by 0SourcePDFScholar