package owl-base

  1. Overview
  2. Docs
On This Page
  1. Helper functions
package owl-base
Legend:
Library
Module
Module type
Parameter
Class
Class type
include Owl_algodiff_core_sig.Sig
Type definition
include Owl_algodiff_types_sig.Sig with type elt := A.elt and type arr := A.arr
type t =
  1. | F of A.elt
  2. | Arr of A.arr
  3. | DF of t * t * int
  4. | DR of t * t Stdlib.ref * op * int Stdlib.ref * int * int Stdlib.ref
and adjoint = t -> t Stdlib.ref -> (t * t) list -> (t * t) list
and register = t list -> t list
and label = string * t list
and op = adjoint * register * label
Core functions
val tag : unit -> int

TODO

val primal : t -> t

TODO

val primal' : t -> t

TODO

val zero : t -> t

TODO

val reset_zero : t -> t

TODO

val tangent : t -> t

TODO

val adjref : t -> t Stdlib.ref

TODO

val adjval : t -> t

TODO

val shape : t -> int array

TODO

val row_num : t -> int

number of rows

val col_num : t -> int

number of columns

val numel : t -> int

number of elements

val clip_by_value : amin:A.elt -> amax:A.elt -> t -> t

other functions, without tracking gradient

val clip_by_l2norm : A.elt -> t -> t

other functions, without tracking gradient

val copy_primal' : t -> t

TODO

val tile : t -> int array -> t

TODO

val repeat : t -> int array -> t

TODO

val pack_elt : A.elt -> t

convert from ``elt`` type to ``t`` type.

val unpack_elt : t -> A.elt

convert from ``t`` type to ``elt`` type.

val pack_flt : float -> t

convert from ``float`` type to ``t`` type.

val _f : float -> t

A shortcut function for ``F A.(float_to_elt x)``.

val unpack_flt : t -> float

convert from ``t`` type to ``float`` type.

val pack_arr : A.arr -> t

convert from ``arr`` type to ``t`` type.

val unpack_arr : t -> A.arr

convert from ``t`` type to ``arr`` type.

val deep_info : t -> string

TODO

val type_info : t -> string

TODO

val error_binop : string -> t -> t -> 'a

TODO

val error_uniop : string -> t -> 'a

TODO

val make_forward : t -> t -> int -> t

TODO

val make_reverse : t -> int -> t

TODO

val reverse_prop : t -> t -> unit

TODO

val diff : (t -> t) -> t -> t

``diff f x`` returns the exat derivative of a function ``f : scalar -> scalar`` at point ``x``. Simply calling ``diff f`` will return its derivative function ``g`` of the same type, i.e. ``g : scalar -> scalar``.

Keep calling this function will give you higher-order derivatives of ``f``, i.e. ``f |> diff |> diff |> diff |> ...``

val diff' : (t -> t) -> t -> t * t

similar to ``diff``, but return ``(f x, diff f x)``.

val grad : (t -> t) -> t -> t

gradient of ``f`` : (vector -> scalar) at ``x``, reverse ad.

val grad' : (t -> t) -> t -> t * t

similar to ``grad``, but return ``(f x, grad f x)``.

val jacobian : (t -> t) -> t -> t

jacobian of ``f`` : (vector -> vector) at ``x``, both ``x`` and ``y`` are row vectors.

val jacobian' : (t -> t) -> t -> t * t

similar to ``jacobian``, but return ``(f x, jacobian f x)``

val jacobianv : (t -> t) -> t -> t -> t

jacobian vector product of ``f`` : (vector -> vector) at ``x`` along ``v``, forward ad. Namely, it calcultes ``(jacobian x) v``

val jacobianv' : (t -> t) -> t -> t -> t * t

similar to ``jacobianv'``, but return ``(f x, jacobianv f x v)``

val jacobianTv : (t -> t) -> t -> t -> t

transposed jacobian vector product of ``f : (vector -> vector)`` at ``x`` along ``v``, backward ad. Namely, it calculates ``transpose ((jacobianv f x v))``.

val jacobianTv' : (t -> t) -> t -> t -> t * t

similar to ``jacobianTv``, but return ``(f x, transpose (jacobianv f x v))``

val hessian : (t -> t) -> t -> t

hessian of ``f`` : (scalar -> scalar) at ``x``.

val hessian' : (t -> t) -> t -> t * t

simiarl to ``hessian``, but return ``(f x, hessian f x)``

val hessianv : (t -> t) -> t -> t -> t

hessian vector product of ``f`` : (scalar -> scalar) at ``x`` along ``v``. Namely, it calculates ``(hessian x) v``.

val hessianv' : (t -> t) -> t -> t -> t * t

similar to ``hessianv``, but return ``(f x, hessianv f x v)``.

val laplacian : (t -> t) -> t -> t

laplacian of ``f : (scalar -> scalar)`` at ``x``.

val laplacian' : (t -> t) -> t -> t * t

simiar to ``laplacian``, but return ``(f x, laplacian f x)``.

val gradhessian : (t -> t) -> t -> t * t

return ``(grad f x, hessian f x)``, ``f : (scalar -> scalar)``

val gradhessian' : (t -> t) -> t -> t * t * t

return ``(f x, grad f x, hessian f x)``

val gradhessianv : (t -> t) -> t -> t -> t * t

return ``(grad f x v, hessian f x v)``

val gradhessianv' : (t -> t) -> t -> t -> t * t * t

return ``(f x, grad f x v, hessian f x v)``

include Owl_algodiff_ops_sig.Sig with type t := t and type elt := A.elt and type arr := A.arr and type op := op
module Builder : Owl_algodiff_ops_builder_sig.Sig with type t := t and type elt := A.elt and type arr := A.arr and type op := op
Supported Maths functions
module Maths : sig ... end
Supported Linalg functions
module Linalg : sig ... end
Supported Neural Network functions
module NN : sig ... end
Supported Mat functions
module Mat : sig ... end
Supported Arr functions
module Arr : sig ... end
Helper functions
include Owl_algodiff_graph_convert_sig.Sig with type t := t
val to_trace : t list -> string

``to_trace t0; t1; ...`` outputs the trace of computation graph on the terminal in a human-readable format.

val to_dot : t list -> string

``to_dot t0; t1; ...`` outputs the trace of computation graph in the dot file format which you can use other tools further visualisation, such as Graphviz.

val pp_num : Stdlib.Format.formatter -> t -> unit

``pp_num t`` pretty prints the abstract number used in ``Algodiff``.

OCaml

Innovation. Community. Security.

GitHub Discord Twitter Peertube RSS
About
Changelog Releases Industrial Users Academic Users Why OCaml
Ecosystem
Packages Community Events OCaml Planet Jobs
Resources
Install OCaml Get Started Platform Tools Language Manual Standard Library API Books Exercises Papers OCaml Playground Logo
Policies
Carbon Footprint Governance Privacy Code of Conduct