Henry Eyring’s absolute rate theory explains the size of chemical reaction rate constants in terms of thermodynamics, statistical mechanics, and quantum chemistry. In addition it uses a number of unique concepts such as the ‘transition state’. A key feature of the theory is that the explanation it provides relies on the comparison of reaction rate constant expressions derived from these individ...

This paper provides an information theoretical description of biometric systems at the system level. A number of basic models to characterize performance of biometric systems are presented. All models compare performance of an automatic biometric recognition system against performance of an ideal biometric system that knows correct decisions. The correct decision can be visualized as an input t...

Benjamin W. Wah, A. Ieumwananonthachai, Shu Yao, and Ting Yu Center for Reliable and High Performance Computing Coordinated Science Laboratory University of Illinois, Urbana-Champaign 1308 West Main Street, Urbana, IL 61801, USA fwah, arthuri, yshu, [email protected] Abstract In this paper, we discuss a new approach to generalize heuristic methods (HMs) to new test cases of an applica...

1 These notes are meant to supplement the lectures for Stat 411 at UIC given by the author. The course roughly follows the text by Hogg, McKean, and Craig, Introduction to Mathematical Statistics, 7th edition, 2012, henceforth referred to as HMC. The author makes no guarantees that these notes are free of typos or other, more serious errors.

{0, 1}-valued random variables X1, . . . , Xn are drawn independently each from Bernoulli distribution with parameter p = 0.1. Define Pn := P( 1 n ∑n i=1Xi ≤ 0.2). (a) For n = 1 to 30 calculate and plot the below in the same plot (see [1, section 6.1] for definition of Hoeffding and Bernstein inequalities): i. Exact value of Pn (binomial distribution). ii. Normal approximation for Pn. iii. Hoef...

Specifically for p =∞ ( 1 m ∑m i=1 |f(xi)− vi| )1/p is replaced by maxi∈[m] |f(xi)− vi|. Also define Np(F , α, S) := min{|V | : V is an α-cover of (in `p) ofF on sample S} and Np(F , α, n) := sup x1,...,xm Np(F , α, {x1, . . . , xm}) Definition 2. A function F is said to α-shatter a sample S = {x1, . . . , xm} if there exists a sequence of thresholds, θ1, . . . , θm ∈ R such that ∀ξ ∈ {±1}, ∃f ...

Instrumental measures of speech intelligibility typically produce an index between 0 and 1 that is monotonically related to listening test scores. As such, these measures are dimensionless and do not represent physical quantities. In this paper, we propose a new instrumental intelligibility metric that describes speech intelligibility using bits per second. The proposed metric builds upon an ex...

Two recent articles by Geisler and Diehl use Bayesian statistical decision theory to model the co-evolution of predator and prey in a simple, game-like environment. The prey is characterized by its coloration. The predator is characterized by the chromatic sensitivity of its visual system and its willingness to attack. The authors demonstrate how the coloration of prey and the perceptual system...

This is a set of lecture notes for a graduate course, which focuses on the relations between Information Theory and Statistical Physics. The course is aimed at EE graduate students in the area of Communications and Information Theory, as well as to graduate students in Physics who have basic background in Information Theory. Strong emphasis is given to the analogy and parallelism between Inform...