Aniruddha Bora

Dr. Aniruddha Bora

Computer Science, Texas State University, San Marcos, California, USA
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Research Focus & Metrics

Academic Career Length

7Years (2020-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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4 October 2023
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Book Chapter
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SGSomdatta Goswami
Somdatta Goswami
ABAniruddha Bora
Aniruddha Bora
YYYue Yu
Yue Yu
George KarniadakisGeorge Karniadakis
George Karniadakis

12 March 2025 in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
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Journal Article
Closed access
VOVivek Oommen
Vivek Oommen
ABAniruddha Bora
Aniruddha Bora
ZZZhen Zhang
Zhen Zhang
George KarniadakisGeorge Karniadakis
George Karniadakis
We integrate neural operators with diffusion models to address the spectral limitations of neural operators in surrogate modelling of turbulent flows. While neural operators offer computational efficiency, they exhibit deficiencies in capturing high-frequency flow dynamics, resulting in overly smooth approximations. To overcome this, we condition diffusion models on neural operators to enhance the resolution of turbulent structures. Our approach is validated for different neural operators on diverse datasets, including a high-Reynolds-number jet-flow simulation and experimental Schlieren velocimetry. The proposed method significantly improves the alignment of predicted energy spectra with true distributions compared to neural operators alone. This enables the diffusion models to stabilize longer forecasts through diffusion-corrected autoregressive (AR) rollouts, as we demonstrate in this work. In addition, proper orthogonal decomposition (POD) analysis demonstrates enhanced spectral fidelity in space–time. This work establishes a new paradigm for combining generative models with neural operators to advance surrogate modelling of turbulent systems, and it can be used in other scientific applications that involve microstructure and high-frequency content. See our project page: vivekoommen.github.io/NO_DM .

25 August 2025 in Neural Networks
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Journal Article
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SKSiavash Khodakarami
Siavash Khodakarami
VOVivek Oommen
Vivek Oommen
ABAniruddha Bora
Aniruddha Bora
George KarniadakisGeorge Karniadakis
George Karniadakis
Neural operators have emerged as powerful surrogates for modeling complex physical problems. However, they suffer from spectral bias making them oblivious to high-frequency modes, which are present in multiscale physical systems. Therefore, they tend to produce over-smoothed solutions, which is particularly problematic in modeling turbulence and for systems with intricate patterns and sharp gradients such as multi-phase flow systems. In this work, we introduce a new approach named high-frequency scaling (HFS) to mitigate spectral bias in convolutional-based neural operators. By integrating HFS with proper variants of UNet, we demonstrate a higher prediction accuracy by mitigating spectral bias in single and two-phase flow problems. Unlike Fourier-based techniques, HFS is directly applied to the latent space, thus eliminating the computational cost associated with the Fourier transform. Additionally, we investigate alternative spectral bias mitigation through a diffusion model conditioned on neural operators. While the diffusion model integrated with the standard neural operator may still suffer from significant errors, these errors are substantially reduced when the diffusion model is integrated with a HFS-enhanced neural operator.

1 October 2021 in International Journal of Heat and Mass Transfer
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Journal Article
Closed access
ABAniruddha Bora
Aniruddha Bora
WDWeizhong Dai
Weizhong Dai
JWJoshua P. Wilson
Joshua P. Wilson
JBJacob C. Boyt
Jacob C. Boyt

19 March 2022 in International Journal of Heat and Mass Transfer
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Journal Article
Closed access
ABAniruddha Bora
Aniruddha Bora
WDWeizhong Dai
Weizhong Dai
JWJoshua P. Wilson
Joshua P. Wilson
JBJacob C. Boyt
Jacob C. Boyt
SSSergey L. Sobolev
Sergey L. Sobolev

30 March 2025 in International Journal of Heat and Mass Transfer
Verified
Journal Article
Closed access
FRFarnaz Rezaei
Farnaz Rezaei
WDWeizhong Dai
Weizhong Dai
SDShayan Davani
Shayan Davani
ABAniruddha Bora
Aniruddha Bora