| 2025 | ARITH | Rigorous Error Analysis for Logarithmic Number Systems. | Thanh Son Nguyen, Alexey Solovyev, Mark G. Arnold, Ganesh Gopalakrishnan |
| 2022 | ARITH | Towards Quantum Logarithm Number Systems. | Mark G. Arnold |
| 2019 | ARITH | Under- and Overflow Detection in the Residue Logarithmic Number System. | Mark G. Arnold, Ioannis Kouretas, Vassilis Paliouras, John R. Cowles |
| 2013 | DNA | Extending DNA-Sticker Arithmetic to Arbitrary Size Using Staples. | Mark G. Arnold |
| 2011 | ARITH | Towards a Quaternion Complex Logarithmic Number System. | Mark G. Arnold, John R. Cowles, Vassilis Paliouras, Ioannis Kouretas |
| 2011 | DNA | An Improved DNA-Sticker Addition Algorithm and Its Application to Logarithmic Arithmetic. | Mark G. Arnold |
| 2010 | ICASSP | Implementing LNS using filtering units of GPUs. | Mark G. Arnold, Caroline Collange, David Defour |
| 2010 | ICRA | Dual-stylus-arm scratch drive micro-robots controlled by an onboard parallax algorithm. | Mark G. Arnold, Jung H. Cho |
| 2010 | ISCAS | Dual-stylus-arm scratch drive micro-robots controlled by a communication channel. | Jung H. Cho, Mark G. Arnold |
| 2009 | ARITH | A Dual-Purpose Real/Complex Logarithmic Number System ALU. | Mark G. Arnold, Caroline Collange |
| 2007 | DSD | A Serial Logarithmic Number System ALU. | Mark G. Arnold, Panagiotis D. Vouzis |
| 2007 | DSD | Cotransformation Provides Area and Accuracy Improvement in an HDL Library for LNS Subtraction. | Panagiotis D. Vouzis, Caroline Collange, Mark G. Arnold |
| 2007 | FPL | Monte Carlo Logarithmic Number System for Model Predictive Control. | Panagiotis D. Vouzis, Caroline Collange, Mark G. Arnold, Mayuresh V. Kothare |
| 2006 | DSD | A RISC Processor with Redundant LNS Instructions. | Mark G. Arnold |
| 2006 | ISCAS | A parallel search algorithm for CLNS addition optimization. | Panagiotis D. Vouzis, Mark G. Arnold |
| 2005 | ARITH | The Residue Logarithmic Number System: Theory and Implementation. | Mark G. Arnold |
| 2005 | DSD | Approximating Trigonometric Functions with the Laws of Sines and Cosines using the Logarithmic Number System. | Mark G. Arnold |
| 2005 | ISCAS | Hardware-based support vector machine classification in logarithmic number systems. | Faisal M. Khan, Mark G. Arnold, William M. Pottenger |
| 2005 | ISCAS | Using CLNS for FFTs in OFDM demodulation of UWB receivers. | Panagiotis D. Vouzis, Mark G. Arnold, Vassilis Paliouras |
| 2004 | CASES | LNS architectures for embedded model predictive control processors. | Jesus Garcia, Mark G. Arnold, Leonidas G. Bleris, Mayuresh V. Kothare |
| 2004 | DSD | Finite Precision Analysis of Support Vector Machine Classification in Logarithmic Number Systems. | Faisal M. Khan, Mark G. Arnold, William M. Pottenger |
| 2004 | ISCAS | Geometric-mean interpolation for logarithmic number systems. | Mark G. Arnold |
| 2003 | ARITH | The Interval Logarithmic Number System. | Mark G. Arnold, Jesus Garcia, Michael J. Schulte |
| 2003 | DSD | A VLIW Architecture for Logarithmic Arithmetic. | Mark G. Arnold |
| 2001 | ARITH | Unrestricted Faithful Rounding is Good Enough for Some LNS Applications. | Mark G. Arnold, Colin D. Walter |
| 2001 | DSD | Design of a Faithful LNS Interpolator. | Mark G. Arnold |
| 2001 | ICCD | A Single-Multiplier Quadratic Interpolator for LNS Arithmetic. | Mark G. Arnold, Mark D. Winkel |
| 1997 | ARITH | Arithmetic Co-transformations in the Real and Complex Logarithmic Number Systems. | Mark G. Arnold, Thomas A. Bailey, John R. Cowles, Mark D. Winkel |
| 1989 | ARITH | Redundant logarithmic number systems. | Mark G. Arnold, Thomas A. Bailey, John R. Cowles, Jerry J. Cupal |
| 1988 | ICASSP | Improved accuracy for logarithmic addition in DSP applications. | Mark G. Arnold, John R. Cowles, Thomas A. Bailey |