papers

Publications (26)

cs.AI2025

The Challenge of Teaching Reasoning to LLMs Without RL or Distillation

Wei Du, Branislav Kisacanin, George Armstrong +22

Reasoning-capable language models achieve state-of-the-art performance in diverse complex tasks by generating long, explicit Chain-of-Thought (CoT) traces. While recent works show…

cs.CL2024

OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset

Shubham Toshniwal, Ivan Moshkov, Sean Narenthiran +3

Recent work has shown the immense potential of synthetically generated datasets for training large language models (LLMs), especially for acquiring targeted skills. Current large-s…

cs.LG2018

Convergence Analysis of Gradient Descent Algorithms with Proportional Updates

Igor Gitman, Deepak Dilipkumar, Ben Parr

The rise of deep learning in recent years has brought with it increasingly clever optimization methods to deal with complex, non-linear loss functions. These methods are often desi…

cs.LG2026

Learning Generative Selection for Best-of-N

Shubham Toshniwal, Aleksander Ficek, Siddhartha Jain +5

Scaling test-time compute via parallel sampling can substantially improve LLM reasoning, but is often limited by Best-of-N selection quality. Generative selection methods, such as…

cs.CV2017

Comparison of Batch Normalization and Weight Normalization Algorithms for the Large-scale Image Classification

Igor Gitman, Boris Ginsburg

Batch normalization (BN) has become a de facto standard for training deep convolutional networks. However, BN accounts for a significant fraction of training run-time and is diffic…

cs.CV2017

Large Batch Training of Convolutional Networks

Yang You, Igor Gitman, Boris Ginsburg

A common way to speed up training of large convolutional networks is to add computational units. Training is then performed using data-parallel synchronous Stochastic Gradient Desc…

cs.AI2026

iGRPO: Self-Feedback-Driven LLM Reasoning

Ali Hatamizadeh, Shrimai Prabhumoye, Igor Gitman +5

Large Language Models (LLMs) have shown promise in solving complex mathematical problems, yet they still fall short of producing accurate and consistent solutions. Reinforcement Le…

cs.LG2018

Novel Prediction Techniques Based on Clusterwise Linear Regression

Igor Gitman, Jieshi Chen, Eric Lei +1

In this paper we explore different regression models based on Clusterwise Linear Regression (CLR). CLR aims to find the partition of the data into clusters, such that linear re…

cs.CL2018

Mixed-Precision Training for NLP and Speech Recognition with OpenSeq2Seq

Oleksii Kuchaiev, Boris Ginsburg, Igor Gitman +5

We present OpenSeq2Seq - a TensorFlow-based toolkit for training sequence-to-sequence models that features distributed and mixed-precision training. Benchmarks on machine translati…

cs.AI2025

Scaling Generative Verifiers For Natural Language Mathematical Proof Verification And Selection

Sadegh Mahdavi, Branislav Kisacanin, Shubham Toshniwal +6

Large language models have achieved remarkable success on final-answer mathematical problems, largely due to the ease of applying reinforcement learning with verifiable rewards. Ho…

cs.CL2025

Nemotron-H: A Family of Accurate and Efficient Hybrid Mamba-Transformer Models

NVIDIA, :, Aaron Blakeman +198

As inference-time scaling becomes critical for enhanced reasoning capabilities, it is increasingly becoming important to build models that are efficient to infer. We introduce Nemo…

cs.CL2025

NVIDIA Nemotron Nano 2: An Accurate and Efficient Hybrid Mamba-Transformer Reasoning Model

NVIDIA, :, Aarti Basant +214

We introduce Nemotron-Nano-9B-v2, a hybrid Mamba-Transformer language model designed to increase throughput for reasoning workloads while achieving state-of-the-art accuracy compar…

cs.LG2019

Understanding the Role of Momentum in Stochastic Gradient Methods

Igor Gitman, Hunter Lang, Pengchuan Zhang +1

The use of momentum in stochastic gradient methods has become a widespread practice in machine learning. Different variants of momentum, including heavy-ball momentum, Nesterov's a…

eess.AS2023

Confidence-based Ensembles of End-to-End Speech Recognition Models

Igor Gitman, Vitaly Lavrukhin, Aleksandr Laptev +1

The number of end-to-end speech recognition models grows every year. These models are often adapted to new domains or languages resulting in a proliferation of expert systems that…

cs.AI2025

AIMO-2 Winning Solution: Building State-of-the-Art Mathematical Reasoning Models with OpenMathReasoning dataset

Ivan Moshkov, Darragh Hanley, Ivan Sorokin +5

This paper presents our winning submission to the AI Mathematical Olympiad - Progress Prize 2 (AIMO-2) competition. Our recipe for building state-of-the-art mathematical reasoning…

cs.CL2024

Nemotron-4 340B Technical Report

Nvidia, :, Bo Adler +80

We release the Nemotron-4 340B model family, including Nemotron-4-340B-Base, Nemotron-4-340B-Instruct, and Nemotron-4-340B-Reward. Our models are open access under the NVIDIA Open…

cs.LG2025

GenSelect: A Generative Approach to Best-of-N

Shubham Toshniwal, Ivan Sorokin, Aleksander Ficek +2

Generative reward models with parallel sampling have enabled effective test-time scaling for reasoning tasks. Current approaches employ pointwise scoring of individual solutions or…

cs.LG2026

Nemotron 3 Super: Open, Efficient Mixture-of-Experts Hybrid Mamba-Transformer Model for Agentic Reasoning

NVIDIA, :, Aakshita Chandiramani +544

We describe the pre-training, post-training, and quantization of Nemotron 3 Super, a 120 billion (active 12 billion) parameter hybrid Mamba-Attention Mixture-of-Experts model. Nemo…

cs.CL2025

NVIDIA Nemotron 3: Efficient and Open Intelligence

NVIDIA, :, Aaron Blakeman +356

We introduce the Nemotron 3 family of models - Nano, Super, and Ultra. These models deliver strong agentic, reasoning, and conversational capabilities. The Nemotron 3 family uses a…

cs.CL2024

OpenMathInstruct-2: Accelerating AI for Math with Massive Open-Source Instruction Data

Shubham Toshniwal, Wei Du, Ivan Moshkov +3

Mathematical reasoning continues to be a critical challenge in large language model (LLM) development with significant interest. However, most of the cutting-edge progress in mathe…

cs.CL2026

Nemotron 3 Ultra: Open, Efficient Mixture-of-Experts Hybrid Mamba-Transformer Model for Agentic Reasoning

NVIDIA, :, Aaron Blakeman +571

We introduce Nemotron 3 Ultra, a 550 billion total and 55 billion active parameter Mixture-of-Experts Hybrid Mamba-Attention language model. We pre-trained Nemotron 3 Ultra on 20 t…

cs.LG2025

NeMo-Inspector: A Visualization Tool for LLM Generation Analysis

Daria Gitman, Igor Gitman, Evelina Bakhturina

Adapting Large Language Models (LLMs) to novel tasks and enhancing their overall capabilities often requires large, high-quality training datasets. Synthetic data, generated at sca…

cs.CL2025

Nemotron 3 Nano: Open, Efficient Mixture-of-Experts Hybrid Mamba-Transformer Model for Agentic Reasoning

NVIDIA, :, Aaron Blakeman +311

We present Nemotron 3 Nano 30B-A3B, a Mixture-of-Experts hybrid Mamba-Transformer language model. Nemotron 3 Nano was pretrained on 25 trillion text tokens, including more than 3 t…

eess.AS2023

Powerful and Extensible WFST Framework for RNN-Transducer Losses

Aleksandr Laptev, Vladimir Bataev, Igor Gitman +1

This paper presents a framework based on Weighted Finite-State Transducers (WFST) to simplify the development of modifications for RNN-Transducer (RNN-T) loss. Existing implementat…

cs.CL2025

Llama-Nemotron: Efficient Reasoning Models

Akhiad Bercovich, Itay Levy, Izik Golan +132

We introduce the Llama-Nemotron series of models, an open family of heterogeneous reasoning models that deliver exceptional reasoning capabilities, inference efficiency, and an ope…

cs.AI2025

Nemotron-Math: Efficient Long-Context Distillation of Mathematical Reasoning from Multi-Mode Supervision

Wei Du, Shubham Toshniwal, Branislav Kisacanin +7

High-quality mathematical reasoning supervision requires diverse reasoning styles, long-form traces, and effective tool integration, capabilities that existing datasets provide onl…