diff --git a/src/ol/color/color.js b/src/ol/color/color.js
index 55bfe3f30d..765cc22614 100644
--- a/src/ol/color/color.js
+++ b/src/ol/color/color.js
@@ -318,7 +318,7 @@ ol.color.toString = function(color) {
 
 /**
  * @param {ol.Color} color Color.
- * @param {goog.vec.Mat4.AnyType} transform Transform.
+ * @param {goog.vec.Mat4.Number} transform Transform.
  * @param {ol.Color=} opt_color Color.
  * @return {ol.Color} Transformed color.
  */
diff --git a/src/ol/geom/flatgeom.js b/src/ol/geom/flatgeom.js
index fdc9f8f24b..14f129081f 100644
--- a/src/ol/geom/flatgeom.js
+++ b/src/ol/geom/flatgeom.js
@@ -736,7 +736,7 @@ ol.geom.flat.squaredDistance = function(x1, y1, x2, y2) {
 /**
  * @param {Array.<number>} flatCoordinates Flat coordinates.
  * @param {number} stride Stride.
- * @param {goog.vec.Mat4.AnyType} transform Transform.
+ * @param {goog.vec.Mat4.Number} transform Transform.
  * @param {Array.<number>=} opt_dest Destination.
  * @return {Array.<number>} Transformed coordinates.
  */
diff --git a/src/ol/geom/simplegeometry.js b/src/ol/geom/simplegeometry.js
index 29a92f6b97..2f24d9d28f 100644
--- a/src/ol/geom/simplegeometry.js
+++ b/src/ol/geom/simplegeometry.js
@@ -230,7 +230,7 @@ ol.geom.SimpleGeometry.prototype.transform = function(transformFn) {
 
 /**
  * @param {ol.geom.SimpleGeometry} simpleGeometry Simple geometry.
- * @param {goog.vec.Mat4.AnyType} transform Transform.
+ * @param {goog.vec.Mat4.Number} transform Transform.
  * @param {Array.<number>=} opt_dest Destination.
  * @return {Array.<number>} Transformed flat coordinates.
  */
diff --git a/src/ol/render/canvas/canvasimmediate.js b/src/ol/render/canvas/canvasimmediate.js
index d3c96591bf..7576e1d6ca 100644
--- a/src/ol/render/canvas/canvasimmediate.js
+++ b/src/ol/render/canvas/canvasimmediate.js
@@ -21,7 +21,7 @@ goog.require('ol.vec.Mat4');
  * @param {CanvasRenderingContext2D} context Context.
  * @param {number} pixelRatio Pixel ratio.
  * @param {ol.Extent} extent Extent.
- * @param {goog.vec.Mat4.AnyType} transform Transform.
+ * @param {goog.vec.Mat4.Number} transform Transform.
  * @struct
  */
 ol.render.canvas.Immediate = function(context, pixelRatio, extent, transform) {
@@ -46,7 +46,7 @@ ol.render.canvas.Immediate = function(context, pixelRatio, extent, transform) {
 
   /**
    * @private
-   * @type {goog.vec.Mat4.AnyType}
+   * @type {goog.vec.Mat4.Number}
    */
   this.transform_ = transform;
 
diff --git a/src/ol/render/canvas/canvasreplay.js b/src/ol/render/canvas/canvasreplay.js
index 9b69bb1c55..81fe9ede56 100644
--- a/src/ol/render/canvas/canvasreplay.js
+++ b/src/ol/render/canvas/canvasreplay.js
@@ -160,7 +160,7 @@ ol.render.canvas.Replay.prototype.beginGeometry = function(geometry) {
 /**
  * @private
  * @param {CanvasRenderingContext2D} context Context.
- * @param {goog.vec.Mat4.AnyType} transform Transform.
+ * @param {goog.vec.Mat4.Number} transform Transform.
  * @param {function(ol.geom.Geometry): boolean} renderGeometryFunction Render
  *     geometry function.
  * @param {Array.<*>} instructions Instructions array.
@@ -305,7 +305,7 @@ ol.render.canvas.Replay.prototype.replay_ =
 
 /**
  * @param {CanvasRenderingContext2D} context Context.
- * @param {goog.vec.Mat4.AnyType} transform Transform.
+ * @param {goog.vec.Mat4.Number} transform Transform.
  * @param {function(ol.geom.Geometry): boolean} renderGeometryFunction Render
  *     geometry function.
  * @return {T|undefined} Callback result.
@@ -321,7 +321,7 @@ ol.render.canvas.Replay.prototype.replay =
 
 /**
  * @param {CanvasRenderingContext2D} context Context.
- * @param {goog.vec.Mat4.AnyType} transform Transform.
+ * @param {goog.vec.Mat4.Number} transform Transform.
  * @param {function(ol.geom.Geometry): boolean} renderGeometryFunction Render
  *     geometry function.
  * @param {function(ol.geom.Geometry, Object): T=} opt_geometryCallback
@@ -1231,7 +1231,7 @@ ol.render.canvas.ReplayGroup = function(pixelRatio, tolerance) {
 /**
  * @param {CanvasRenderingContext2D} context Context.
  * @param {ol.Extent} extent Extent.
- * @param {goog.vec.Mat4.AnyType} transform Transform.
+ * @param {goog.vec.Mat4.Number} transform Transform.
  * @param {function(ol.geom.Geometry): boolean} renderGeometryFunction Render
  *     geometry function.
  * @return {T|undefined} Callback result.
@@ -1252,7 +1252,7 @@ ol.render.canvas.ReplayGroup.prototype.replay = function(context, extent,
  * @param {Array.<number>} zs Z-indices array.
  * @param {CanvasRenderingContext2D} context Context.
  * @param {ol.Extent} extent Extent.
- * @param {goog.vec.Mat4.AnyType} transform Transform.
+ * @param {goog.vec.Mat4.Number} transform Transform.
  * @param {function(ol.geom.Geometry): boolean} renderGeometryFunction Render
  *     geometry function.
  * @param {function(ol.geom.Geometry, Object): T} geometryCallback Geometry
@@ -1286,7 +1286,7 @@ ol.render.canvas.ReplayGroup.prototype.replayHitDetection_ =
  * @param {Array.<number>} zs Z-indices array.
  * @param {CanvasRenderingContext2D} context Context.
  * @param {ol.Extent} extent Extent.
- * @param {goog.vec.Mat4.AnyType} transform Transform.
+ * @param {goog.vec.Mat4.Number} transform Transform.
  * @param {function(ol.geom.Geometry): boolean} renderGeometryFunction Render
  *     geometry function.
  * @return {T|undefined} Callback result.
diff --git a/src/ol/renderer/canvas/canvaslayerrenderer.js b/src/ol/renderer/canvas/canvaslayerrenderer.js
index f3a0366338..e590979ff0 100644
--- a/src/ol/renderer/canvas/canvaslayerrenderer.js
+++ b/src/ol/renderer/canvas/canvaslayerrenderer.js
@@ -76,7 +76,7 @@ ol.renderer.canvas.Layer.prototype.composeFrame =
  * @param {ol.render.EventType} type Event type.
  * @param {CanvasRenderingContext2D} context Context.
  * @param {ol.FrameState} frameState Frame state.
- * @param {goog.vec.Mat4.AnyType=} opt_transform Transform.
+ * @param {goog.vec.Mat4.Number=} opt_transform Transform.
  * @private
  */
 ol.renderer.canvas.Layer.prototype.dispatchComposeEvent_ =
@@ -97,7 +97,7 @@ ol.renderer.canvas.Layer.prototype.dispatchComposeEvent_ =
 /**
  * @param {CanvasRenderingContext2D} context Context.
  * @param {ol.FrameState} frameState Frame state.
- * @param {goog.vec.Mat4.AnyType=} opt_transform Transform.
+ * @param {goog.vec.Mat4.Number=} opt_transform Transform.
  * @protected
  */
 ol.renderer.canvas.Layer.prototype.dispatchPostComposeEvent =
@@ -110,7 +110,7 @@ ol.renderer.canvas.Layer.prototype.dispatchPostComposeEvent =
 /**
  * @param {CanvasRenderingContext2D} context Context.
  * @param {ol.FrameState} frameState Frame state.
- * @param {goog.vec.Mat4.AnyType=} opt_transform Transform.
+ * @param {goog.vec.Mat4.Number=} opt_transform Transform.
  * @protected
  */
 ol.renderer.canvas.Layer.prototype.dispatchPreComposeEvent =
diff --git a/src/ol/vec/mat4.js b/src/ol/vec/mat4.js
index 0f024243c4..54e7df7e71 100644
--- a/src/ol/vec/mat4.js
+++ b/src/ol/vec/mat4.js
@@ -35,8 +35,8 @@ ol.vec.Mat4.makeTransform2D = function(mat, translateX1, translateY1,
 
 /**
  * Returns true if mat1 and mat2 represent the same 2D transformation.
- * @param {goog.vec.Mat4.AnyType} mat1 Matrix 1.
- * @param {goog.vec.Mat4.AnyType} mat2 Matrix 2.
+ * @param {goog.vec.Mat4.Number} mat1 Matrix 1.
+ * @param {goog.vec.Mat4.Number} mat2 Matrix 2.
  * @return {boolean} Equal 2D.
  */
 ol.vec.Mat4.equals2D = function(mat1, mat2) {