Publications (38)
Curriculum Reinforcement Learning from Easy to Hard Tasks Improves LLM Reasoning
Shubham Parashar, Shurui Gui, Xiner Li +8
We aim to improve the reasoning capabilities of language models via reinforcement learning (RL). Recent RL post-trained models like DeepSeek-R1 have demonstrated reasoning abilitie…
ALZA: An Efficient Hybrid Decentralized Payment System
Nate Zou, Eric Li, Henry Zhang
The efficiency of decentralized book systems like Bitcoin and Ethereum has always been a challenge. It is usually measured by three major factors: scalability, throughput, and late…
Observation of Interface Piezoelectricity in Superconducting Devices on Silicon
Haoxin Zhou, Eric Li, Kadircan Godeneli +7
The evolution of superconducting quantum processors is driven by the need to reduce errors and scale for fault-tolerant computation. Reducing physical qubit error rates requires fu…
Comparing RAG and GraphRAG for Page-Level Retrieval Question Answering on a Math Textbook
Eason Chen, Chuangji Li, Eric Li +4
Large language models (LLMs) show promise as educational aids but often lack alignment with specific course materials. We investigate Retrieval-Augmented Generation (RAG) and Graph…
Flow-based Domain Randomization for Learning and Sequencing Robotic Skills
Aidan Curtis, Eric Li, Michael Noseworthy +5
Domain randomization in reinforcement learning is an established technique for increasing the robustness of control policies trained in simulation. By randomizing environment prope…
PanoLora: Bridging Perspective and Panoramic Video Generation with LoRA Adaptation
Zeyu Dong, Yuyang Yin, Yuqi Li +3
Generating high-quality 360° panoramic videos remains a significant challenge due to the fundamental differences between panoramic and traditional perspective-view projections. Wh…
On the Duke--ErdÅs--Rödl Problem at the One-Third Threshold
Eric Li
Let be an -vertex graph with . We prove a self-contained internal short-cycle core theorem at the threshold : the graph contains a subgraph…
Robust concurrent topology optimization of structure and its composite material considering uncertainty with imprecise probability
Y. Wu, Eric Li, Z. C. He +2
This paper studied a robust concurrent topology optimization (RCTO) approach to design the structure and its composite materials simultaneously. For the first time, the material un…
Square-Annular Dynamics and Coalescence Frontiers for
Eric Li
Let , where is the divisor function. We study the Erdos-Graham coalescence problem by encoding finite-level obstructions in the divisor-successor graph and in sq…
PanoWorld-X: Generating Explorable Panoramic Worlds via Sphere-Aware Video Diffusion
Yuyang Yin, HaoXiang Guo, Fangfu Liu +7
Generating a complete and explorable 360-degree visual world enables a wide range of downstream applications. While prior works have advanced the field, they remain constrained by…
SceneTransporter: Optimal Transport-Guided Compositional Latent Diffusion for Single-Image Structured 3D Scene Generation
Ling Wang, Hao-Xiang Guo, Xinzhou Wang +9
We introduce SceneTransporter, an end-to-end framework for structured 3D scene generation from a single image. While existing methods generate part-level 3D objects, they often fai…
Matrix-Game: Interactive World Foundation Model
Yifan Zhang, Chunli Peng, Boyang Wang +8
We introduce Matrix-Game, an interactive world foundation model for controllable game world generation. Matrix-Game is trained using a two-stage pipeline that first performs large-…
Inference-Time Computations for LLM Reasoning and Planning: A Benchmark and Insights
Shubham Parashar, Blake Olson, Sambhav Khurana +4
We examine the reasoning and planning capabilities of large language models (LLMs) in solving complex tasks. Recent advances in inference-time techniques demonstrate the potential…
AGenT Zero: Zero-shot Automatic Multiple-Choice Question Generation for Skill Assessments
Eric Li, Jingyi Su, Hao Sheng +1
Multiple-choice questions (MCQs) offer the most promising avenue for skill evaluation in the era of virtual education and job recruiting, where traditional performance-based altern…
A resolution of ErdÅs Problem 1061 on the sum-of-divisors function
Eric Li
We resolve ErdÅs Problem 1061, the question whether the number \[ S(x)=\#\{(a,b)\in\mathbb{N}^2:a+b\le x, \ Ï(a)+Ï(b)=Ï(a+b)\} \] of ordered solutions has a linear asymptotic $…
Rank Amplification for Shifted Equal Values of Euler's Totient Function
Eric Li
Let denote the number of integers for which . For the unit shift, we prove . More general…
A Resolution of ErdÅs Problem 550 on Tree versus Complete Multipartite Ramsey Numbers
Eric Li
We resolve ErdÅs Problem 550, originally asked as question (2) of ErdÅs, Faudree, Rousseau, and Schelp. Precisely, for fixed integers and $1\leq m_1\leq \cdots \leq m_k…
An Average-Order Theorem for a Shifted Pairwise-Coprime Extremal Problem
Eric Li
For , let be the supremum of over pairwise coprime sets . ErdÅs asked whether $\mathcal{M}(n)\le \sum_{p<n}1/p+O(1)…
PaLM 2 Technical Report
Rohan Anil, Andrew M. Dai, Orhan Firat +125
We introduce PaLM 2, a new state-of-the-art language model that has better multilingual and reasoning capabilities and is more compute-efficient than its predecessor PaLM. PaLM 2 i…
Efficient Probabilistic Visualization of Local Divergence of 2D Vector Fields with Independent Gaussian Uncertainty
Timbwaoga A. J. Ouermi, Eric Li, Kenneth Moreland +3
This work focuses on visualizing uncertainty of local divergence of two-dimensional vector fields. Divergence is one of the fundamental attributes of fluid flows, as it can help do…
A Resolution of ErdÅs Problem 731 under Dyadic Regularity
Eric Li
We resolve ErdÅs Problem 731 under the explicit dyadic-regularity formalization of "reasonable." Let be the least positive integer not dividing . On dyadic i…
Skywork-R1V4: Toward Agentic Multimodal Intelligence through Interleaved Thinking with Images and DeepResearch
Yifan Zhang, Liang Hu, Haofeng Sun +12
Despite recent progress in multimodal agentic systems, existing approaches often treat image manipulation and web search as disjoint capabilities, rely heavily on costly reinforcem…
Skywork UniPic: Unified Autoregressive Modeling for Visual Understanding and Generation
Peiyu Wang, Yi Peng, Yimeng Gan +12
We introduce Skywork UniPic, a 1.5 billion-parameter autoregressive model that unifies image understanding, text-to-image generation, and image editing within a single architecture…
WebSuite: Systematically Evaluating Why Web Agents Fail
Eric Li, Jim Waldo
We describe WebSuite, the first diagnostic benchmark for generalist web agents, designed to systematically evaluate why agents fail. Advances in AI have led to the rise of numerous…
Gemini 2.5: Pushing the Frontier with Advanced Reasoning, Multimodality, Long Context, and Next Generation Agentic Capabilities
Gheorghe Comanici, Eric Bieber, Mike Schaekermann +3431
In this report, we introduce the Gemini 2.X model family: Gemini 2.5 Pro and Gemini 2.5 Flash, as well as our earlier Gemini 2.0 Flash and Flash-Lite models. Gemini 2.5 Pro is our…
GenMatter: Perceiving Physical Objects with Generative Matter Models
Eric Li, Arijit Dasgupta, Yoni Friedman +5
Human visual perception offers valuable insights for understanding computational principles of motion-based scene interpretation. Humans robustly detect and segment moving entities…
Exceeding the limits of algorithmic self-calibration in super-resolution imaging
Eric Li, Stuart Sherwin, Gautam Gunjala +1
Fourier ptychographic microscopy is a computational imaging technique that provides quantitative phase information and high resolution over a large field-of-view. Although the tech…
Bayes3D: fast learning and inference in structured generative models of 3D objects and scenes
Nishad Gothoskar, Matin Ghavami, Eric Li +8
Robots cannot yet match humans' ability to rapidly learn the shapes of novel 3D objects and recognize them robustly despite clutter and occlusion. We present Bayes3D, an uncertaint…
A Resolution of ErdÅs Problem 768: the Sylow Divisor Condition
Eric Li
The paper solves Erdős Problem 768 by determining the exact leading constant in the asymptotic formula for the proportion of integers whose every prime divisor has a co‑divisor con…
A Resolution of ErdÅs Problems 593 and 1177: Obligatory Triple Systems and Exact Spectra
Eric Li
We resolve ErdÅs Problems #593 and #1177. Problem #593 asks which finite triple systems occur in every uncountably chromatic triple system; the answer is exactly the class generat…
ErdÅs Problem 684 at Density One: Small-prime Parts of Binomial Coefficients and Gaussian Fluctuations
Eric Li
For , let be the largest divisor of whose prime factors are at most . ErdÅs Problem #684 concerns the special threshold and ask…
Optical Cooper Pair Breaking Spectroscopy of Cuprate Superconductors
Y. G. Zhao, Eric Li, Tom Wu +8
The photon energy dependence of optical Cooper pair breaking rate (CPBR) is studied for compressibly strained La1.85Sr0.15CuO4 (LSCO) films and YBa2Cu2.92Zn0.08O7-delta (YBCZO) thi…
Sharp resonant multiplet in femto-second optical pair-breaking spectroscopy of YBa2Cu3O7-delta
Eric Li, J. J. Li, R. P. Sharma +5
Femto-second optical pair breaking spectroscopy is performed on optimally doped YBa2Cu3O7-delta near 1.5eV. Dramatic photon energy dependence with a sharp triplet fine structure is…
Non-Markovian dynamics of a superconducting qubit in a phononic bandgap
Mutasem Odeh, Kadircan Godeneli, Eric Li +5
The overhead to construct a logical qubit from physical qubits rapidly increases with the decoherence rate. Current superconducting qubits reduce dissipation due to two-level syste…
Prime-Power Rarefaction and a Density-One Lower Bound for ErdÅs Problem 400
Eric Li
For fixed , let be the greatest excess among positive integers satisfying . We prove that, for every $\varepsilon>…
The Godsil--McKay Asymptotic for Latin Rectangles in the Sublinear Range of ErdÅs Problem 725
Eric Li
ErdÅs Problem 725 asks for an asymptotic formula for the number of ordered, labelled Latin rectangles. Godsil and McKay proved that $L_{k,n}\sim (n!)^k((n)_k…
Matrix-3D: Omnidirectional Explorable 3D World Generation
Zhongqi Yang, Wenhang Ge, Yuqi Li +12
Explorable 3D world generation from a single image or text prompt forms a cornerstone of spatial intelligence. Recent works utilize video model to achieve wide-scope and generaliza…
The ErdÅs-Hajnal High-Girth Subgraph Conjecture Holds in the Polynomial Chromatic-Sparsity Regime
Eric Li
For a graph put ErdÅs and Hajnal asked whether as , for every fixed .…