A structured APL preprocessor. - Michael L. Cook; Mark G. Arnold (ACM SIGPLAN Notices, 1981)

Improved accuracy for logarithmic addition in DSP applications. - Mark G. Arnold; John R. Cowles; Thomas A. Bailey (ICASSP, 1988)

Redundant logarithmic number systems. - Mark G. Arnold; Thomas A. Bailey; John R. Cowles; Jerry J. Cupal (IEEE Symposium on Computer Arithmetic, 1989)

Redundant Logarithmic Arithmetic. - Mark G. Arnold; Thomas A. Bailey; John R. Cowles; Jerry J. Cupal (IEEE Trans. Computers, 1990)

Comments on "An Architecture for Addition and Subtraction of Long Word Length Numbers in the Logarithmic Number System''. - Mark G. Arnold; Thomas A. Bailey; John R. Cowles (IEEE Trans. Computers, 1992)

Applying Features of IEEE 754 to Sign/Logarithm Arithmetic. - Mark G. Arnold; Thomas A. Bailey; John R. Cowles; Mark D. Winkel (IEEE Trans. Computers, 1992)

Initializing RAM-based logarithmic processors. - Mark G. Arnold; Thomas A. Bailey; John R. Cowles; Jerry J. Cupal (J. VLSI Signal Process., 1992)

On the cost effectiveness of logarithmic arithmetic for backpropagation training on SIMD processors. - Mark G. Arnold; Thomas A. Bailey; Jerry J. Cupal; Mark D. Winkel (ICNN, 1997)

Arithmetic Co-Transformations in the Real and Complex Logarithmic Number Systems. - Mark G. Arnold; Thomas A. Bailey; John R. Cowles; Mark D. Winkel (IEEE Trans. Computers, 1998)

Unrestricted Faithful Rounding is Good Enough for Some LNS Applications. - Mark G. Arnold; Colin D. Walter (IEEE Symposium on Computer Arithmetic, 2001)

Design of a Faithful LNS Interpolator. - Mark G. Arnold (DSD, 2001)

A Single-Multiplier Quadratic Interpolator for LNS Arithmetic. - Mark G. Arnold; Mark D. Winkel (ICCD, 2001)

Avoiding oddification to simplify MPEG-1 decoding with LNS. - Mark G. Arnold (IEEE Workshop on Multimedia Signal Processing, 2002)

Reduced Power Consumption for MPEG Decoding with LNS. - Mark G. Arnold (ASAP, 2002)

The Interval Logarithmic Number System. - Mark G. Arnold; Jesus Garcia; Michael J. Schulte (IEEE Symposium on Computer Arithmetic, 2003)

Iterative Methods for Logarithmic Subtraction. - Mark G. Arnold (ASAP, 2003)

A VLIW Architecture for Logarithmic Arithmetic. - Mark G. Arnold (DSD, 2003)

Combined LNS Adder/Subtractors for DCT Hardware. - Jie Ruan; Mark G. Arnold (ESTIMedia, 2003)

Error Analysis of the Kmetz/Maenner Algorithm. - Mark G. Arnold; Thomas A. Bailey; John R. Cowles (J. VLSI Signal Process., 2003)

Fast Fourier Transforms Using the Complex Logarithmic Number System. - Mark G. Arnold; Thomas A. Bailey; John R. Cowles; Colin D. Walter (J. VLSI Signal Process., 2003)

LNS architectures for embedded model predictive control processors. - Jesus Garcia; Mark G. Arnold; Leonidas G. Bleris; Mayuresh V. Kothare (CASES, 2004)

Finite Precision Analysis of Support Vector Machine Classification in Logarithmic Number Systems. - Faisal M. Khan; Mark G. Arnold; William M. Pottenger (DSD, 2004)

Geometric-mean interpolation for logarithmic number systems. - Mark G. Arnold (ISCAS (2), 2004)

LPVIP: A Low-Power ROM-Less ALU for Low-Precision LNS. - Mark G. Arnold (PATMOS, 2004)

Threshold Mean Larger Ratio Motion Estimation in MPEG Encoding Using LNS. - Jie Ruan; Mark G. Arnold (PATMOS, 2004)

The Residue Logarithmic Number System: Theory and Implementation. - Mark G. Arnold (IEEE Symposium on Computer Arithmetic, 2005)

Approximating Trigonometric Functions with the Laws of Sines and Cosines using the Logarithmic Number System. - Mark G. Arnold (DSD, 2005)

Hardware-based support vector machine classification in logarithmic number systems. - Faisal M. Khan; Mark G. Arnold; William M. Pottenger (ISCAS (5), 2005)

Using CLNS for FFTs in OFDM demodulation of UWB receivers. - Panagiotis D. Vouzis; Mark G. Arnold; Vassilis Paliouras (ISCAS (4), 2005)

A co-processor FPGA platform for the implementation of real-time model predictive control. - Leonidas G. Bleris; Panagiotis D. Vouzis; Mark G. Arnold; Mayuresh V. Kothare (ACC, 2006)

A RISC Processor with Redundant LNS Instructions. - Mark G. Arnold (DSD, 2006)

A parallel search algorithm for CLNS addition optimization. - Panagiotis D. Vouzis; Mark G. Arnold (ISCAS, 2006)

Integer Multipliers with Overflow Detection. - Mustafa Gök; Michael J. Schulte; Mark G. Arnold (IEEE Trans. Computers, 2006)

LNS Subtraction Using Novel Cotransformation and/or Interpolation. - Panagiotis D. Vouzis; Caroline Collange; Mark G. Arnold (ASAP, 2007)

A Serial Logarithmic Number System ALU. - Mark G. Arnold; Panagiotis D. Vouzis (DSD, 2007)

Cotransformation Provides Area and Accuracy Improvement in an HDL Library for LNS Subtraction. - Panagiotis D. Vouzis; Caroline Collange; Mark G. Arnold (DSD, 2007)

Monte Carlo Logarithmic Number System for Model Predictive Control. - Panagiotis D. Vouzis; Caroline Collange; Mark G. Arnold; Mayuresh V. Kothare (FPL, 2007)

A Dual-Purpose Real/Complex Logarithmic Number System ALU. - Mark G. Arnold; Caroline Collange (IEEE Symposium on Computer Arithmetic, 2009)

Powering embedded CMOS logic on MEMS-based micro-robots. - Jung H. Cho; Mark G. Arnold (BMAS, 2009)

Parallax-Docking and Reconfiguration of Field Programmable Robot Arrays Using an Intermittently-Powered One-Hot Controller. - Mark G. Arnold; Jung H. Cho (ReConFig, 2009)

A System-on-a-Chip Implementation for Embedded Real-Time Model Predictive Control. - Panagiotis D. Vouzis; Mayuresh V. Kothare; Leonidas G. Bleris; Mark G. Arnold (IEEE Trans. Control. Syst. Technol., 2009)

Low-voltage Scratch-drive Micro-scalpels Controlled by a Binary-encoded Signal. - Jung H. Cho; Mark G. Arnold (BIODEVICES, 2010)

Implementing LNS using filtering units of GPUs. - Mark G. Arnold; Caroline Collange; David Defour (ICASSP, 2010)

Dual-stylus-arm scratch drive micro-robots controlled by an onboard parallax algorithm. - Mark G. Arnold; Jung H. Cho (ICRA, 2010)

Dual-stylus-arm scratch drive micro-robots controlled by a communication channel. - Jung H. Cho; Mark G. Arnold (ISCAS, 2010)

Bitstream Efficiency of Field Programmable One-Hot Arrays. - Mark G. Arnold; Panagiotis D. Vouzis; Jung H. Cho (ISVLSI, 2010)

A Novel Cotransformation for LNS Subtraction. - Panagiotis D. Vouzis; Caroline Collange; Mark G. Arnold (J. Signal Process. Syst., 2010)

Towards a Quaternion Complex Logarithmic Number System. - Mark G. Arnold; John R. Cowles; Vassilis Paliouras; Ioannis Kouretas (IEEE Symposium on Computer Arithmetic, 2011)

A Residue Logarithmic Number System ALU using interpolation and cotransformation. - Mark G. Arnold; Ioannis Kouretas; Vassilis Paliouras (ASAP, 2011)

An Improved DNA-Sticker Addition Algorithm and Its Application to Logarithmic Arithmetic. - Mark G. Arnold (DNA, 2011)

Configuring Field-Programmable Robot Arrays. - Mark G. Arnold (ReConFig, 2011)

A Real/Complex Logarithmic Number System ALU. - Mark G. Arnold; Caroline Collange (IEEE Trans. Computers, 2011)

The Denormal Logarithmic Number System. - Mark G. Arnold; Caroline Collange (ASAP, 2013)

Extending DNA-Sticker Arithmetic to Arbitrary Size Using Staples. - Mark G. Arnold (DNA, 2013)

Improved DNA-sticker arithmetic: tube-encoded-carry, Logarithmic Number System and Monte-Carlo methods. - Mark G. Arnold (Nat. Comput., 2013)

Options for Denormal Representation in Logarithmic Arithmetic. - Mark G. Arnold; Caroline Collange (J. Signal Process. Syst., 2014)

Guarding the guards: Enhancing LNS performance for common applications. - Mark G. Arnold; Ed Chester; John R. Cowles (ASAP, 2016)

Under- and Overflow Detection in the Residue Logarithmic Number System. - Mark G. Arnold; Ioannis Kouretas; Vassilis Paliouras; John R. Cowles (ARITH, 2019)

Optimizing Mitchell's Method for Approximate Logarithmic Addition via Base Selection with Application to Back-Propagation. - Mark G. Arnold; Ed Chester; John R. Cowles; Corey Johnson (NORCAS, 2019)

One-Hot Residue Logarithmic Number Systems. - Mark G. Arnold; Ioannis Kouretas; Vassilis Paliouras; Austin Morgan (PATMOS, 2019)

Training Neural Nets using only an Approximate Tableless LNS ALU. - Mark G. Arnold; Ed Chester; Corey Johnson (ASAP, 2020)

Implementing the Residue Logarithmic Number System Using Interpolation and Cotransformation. - Mark G. Arnold; Vassilis Paliouras; Ioannis Kouretas (IEEE Trans. Computers, 2020)

Towards Quantum Logarithm Number Systems. - Mark G. Arnold (ARITH, 2022)

CONTROL-CORE: A Framework for Simulation and Design of Closed-Loop Peripheral Neuromodulation Control Systems. - Pradeeban Kathiravelu; Mark G. Arnold; Jake Fleischer; Yuyu Yao; Shubham Awasthi; Aviral Kumar Goel; Andrew Branen; Parisa Sarikhani; Gautam Kumar; Mayuresh V. Kothare; Babak Mahmoudi (IEEE Access, 2022)

Towards Automated Verification of Logarithmic Arithmetic. - Mark G. Arnold; Thomas A. Bailey; John R. Cowles (CoRR, 2024)

Rigorous Error Analysis for Logarithmic Number Systems. - Thanh Son Nguyen; Alexey Solovyev; Mark G. Arnold; Ganesh Gopalakrishnan (ARITH, 2025)